It will take 1.5 seconds for Marissa's car to accelerate from 26. 4 m/s to 28. 6 m/s.
Acceleration can be calculated by looking at the change in velocity over a specific period of time. It is an important concept in physics as it is used to explain the motion of objects in the real world.
Acceleration is a measure of how quickly an object is changing its velocity on average, and it is usually expressed in meters per second squared (m/s2).
This simple calculation of Marissa's car acceleration can be determined by using the formula: Delta speed / Acceleration rate = Time taken.
In this case, that would be 2.2 m/s (28.6-26.4) / 3.6 m/s2
= 0.6 s or 1.5 sec (rounded up).
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Some planetary scientists have suggested that the planet Mars has an electric field somewhat similar to that of the earth, producing a net electric flux of -3. 63 × 1016 N⋅m2/C at the planet's surface.
a) Calculate the total electric charge on the planet.
b) Calculate the magnitude of the electric field at the planet's surface (refer to the astronomical data inside the back cover).
c) Find the direction of the electric field at the planet's surface.
d) Calculate the charge density on Mars, assuming all the charge is uniformly distributed over the planet's surface
With a net electric flux of -3. 63 1016 N/m2/C at its surface, the planet Mars has an electric field that is somewhat similar to that of the earth. There will be 3.26 x [tex]10^{5}[/tex] of electric charge throughout the entire earth.
Which best sums up Gauss's law?The electric flux across any closed surface is proportional to the net electric charge q enclosed by the surface, according to Gauss's law of electricity, which reads as = q/0, where 0 is the electric permittivity of free space, which has a value of 8.854 10-12 square coulombs per newton per square meter.
How can the angle of a vector in an electric flux be determined?E is the magnitude of the electric field (with units of V/m), S is the area of the surface, and is the angle between the electric field lines and the normal (perpendicular) to S. If the electric field is uniform, the electric flux (E) travelling through a surface of vector area S is: E = ES = EScos.
Calculation:Ф = q/ε
⇒ 3.69 x [tex]10^{16}[/tex] x = q/ 8.85 x [tex]10^{-12}[/tex]
q = 3.26 x [tex]10^{5}[/tex]
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CANT DO IT
i neeeed herlp For numbers 14a-14d, tell which expressions require you to rename mixed numbers before you can subtract.
14a. LaTeX: 5\frac{2}{5}-2\frac{1}{4}5 2 5 − 2 1 4
[ Select ]
14b. LaTeX: 5\:-\:2\frac{7}{8}5 − 2 7 8
[ Select ]
14c. LaTeX: 7\frac{2}{3}\:\:-\:6\frac{1}{8}7 2 3 − 6 1 8
[ Select ]
14d. LaTeX: 9\frac{1}{6}-5\frac{2}{3}9 1 6 − 5 2 3
[ Select ]
14 a, 14 b, 14 c, and 14 d are the Expressions that require renaming mixed numbers before we can subtract.
Actually, there are a few steps to convert normal fractions into a mixed fractions. The steps are as follows:
firstly, we have to find the whole number to do this we divide the numerator by the denominator. secondly, Get the new numerator: To get a new number we should calculate in step one and multiply it by the original denominator. The result of that multiplication is then subtracted from the original numerator.After that Our mixed fraction, we need to put the whole number together with our new numerator and original denominator.finally, Simplifying our fraction.Solving one by one with the help of the given options:
1) 14a
[tex]5\frac{2}{5}-2\frac{1}{4} \\\\\frac{17}{5} -\frac{9}{4} \\\\\frac{68-45}{20}\\\\ \frac{23}{20} =1\frac{3}{20}[/tex]
2)14b
[tex]5-2\frac{7}{8} \\\\\frac{5}{1} -\frac{7}{8} \\\\\\\frac{40-23}{8}\\\\ \frac{17}{8} =2\frac{1}{8}[/tex]
3)14c
[tex]7\frac{2}{3} -6\frac{1}{8} \\\\\frac{23}{3} -\frac{49}{8} \\\\\frac{184-147}{8} \\\\\frac{37}{24} =1\frac{13}{24}[/tex]
4)14d
[tex]9\frac{1}{6} -5\frac{2}{3}\\\\ \frac{55}{6}-\frac{17}{3}\\\\ \frac{165-102}{18} \\\\\frac{63}{18}=3\frac{9}{18}[/tex]
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Which of the following is an example of erosion in action ?
Example of erosion: Wind carries small pieces of rock away from the side of a mountain.
Which of the following are examples of erosion?Erosion is the procedure by which the surface of the Earth gets worn down. Erosion can be created by natural elements such as erosion as wind and glacial ice. But everyone who has ever seen a picture of the Grand Canyon knows that nothing strikes the erosion slow steady movement of the water when it comes to commuting the Earth
Rain, rivers, floods, lakes, and the ocean convey away bits of soil and sand and slowly wash away the deposit. Rainfall produces four types of soil erosion: splash erosion, sheet erosion, rill erosion, and ravine erosion.
So we can conclude that Erosion is a ruinous force that wears away land features.
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A continuous line of charge lies along the x axis, extending from x = +x0 to positive infinity. The line carries positive charge with a uniform linear charge density λ0. (a) What is the magnitude of the electric field at the origin?(b) What is the direction of the electric field at the origin?
The E = -kλo/xo is the magnitude of the electric field at the origin, negative sign the direction is towards the origin.
What is electric field ?
The force per unit charge imposed on a positive test charge that is at rest at a given position is mathematically defined as the electric field, which is a vector field that can be associated with any point in space.
What is magnitude ?
According to the physics definition, magnitude is just "distance or quantity." It demonstrates how an object moves as it is moving, including whether the movement is absolute, relative, or of a particular size. It serves as a means of describing the size or scope of something. Physicists use the word "magnitude" to indicate size or distance.
a)Lets take an element dx at x distance from origin
Field due to that element of origin; E = k*((λo)dx)/x2 (E = kq/r2)
Integrating from xo to ∞
E =integral( kλo/x2 dx )(xo to ∞)
E = -kλo/xo
b)As we have negative sign the direction is towards the origin
Therefore, E = -kλo/xo is the magnitude of the electric field at the origin, negative sign the direction is towards the origin.
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If petroleum used by a power generator is 50 percent efficient and the lines that carry the electricity to a light are 25 percent efficient, what is the energy efficiency of converting the oil into the light
The energy efficiency of converting the oil into the light can be calculated by multiplying the efficiencies of each step in the process.
Calculation-Efficiency = (0.50) * (0.25) = 0.125 or 12.5%
So the energy efficiency of converting petroleum oil into the light is 12.5%. This means that only 12.5% of the energy in the oil is converted into usable light. The rest is lost as heat or other forms of energy during the process.
How effective is the process of turning oil into light overall?How effective is the process of turning oil into light overall? Chemical energy equivalent to 6,000 MJ is found in one barrel of crude oil. An oil-burning power plant can produce 2,000 MJ of energy from a single barrel of crude oil.
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The length of nylon rope from which a mountain climber is suspended has a force constant of 1.2×104 N/m.
a. What is the frequency, in Hz, at which he bounces, given his mass and the mass of his equipment is 98 kg?
b. How much would this rope stretch, in centimeters, to break the climber's fall if he free-falls 1.8 m before the rope runs out of slack?
c. What is the frequency, in Hz, at which he bounces, given his mass and the mass of his equipment is 98 kg if the rope is twice as long?
d. How much would this rope stretch, in centimeters, to break the climber's fall if he free-falls 1.8 m before the rope runs out of slack if he rope was twice the length?
The length of nylon rope from which a mountain climber is suspended has a force constant of 1.15 ✕ 104 N/m.
What is the force constant measured in?Spring constant is the common name for the force constant. Hooke's law states that F=-kx. k=N/m is used to replace units in the equation where F is force, x is displacement, and k is force constant (spring constant) to determine the SI unit of force constant (spring constant).
What is a graph's force constant?The slope (gradient) of the graph equals the force constant. The proportionality constant, or k, is also known as the force constant in physics. A spring that is more rigid will have a higher value for k. The graph is no longer a straight line beyond point A since the gradient has changed and the formula F = Kx is no longer valid.
Calculation:Maximum speed is at equilibrium where:
F = kx ⇒x =F/k
Now, F x=1/2mv²+1/2kx²
Solving we get,
V=F/√mk=Vmax
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A RL circuit is driven by an AC generator as shown in the figure. sin(ot) The voltages across the resistor and generator are ??.
O always out of phase O always in phase sometimes in phase and O sometimes out of phase Submit
Sometimes in phase and sometimes out of phase.The voltage across the resistor and generator will depend on the phase difference between the current and voltage in the circuit.
The voltage across the resistor and generator will depend on the phase difference between the current and voltage in the circuit. If the phase difference is 0°, then the voltage across the resistor and generator will be in phase. If the phase difference is 180°, then the voltage across the resistor and generator will be out of phase. In any other scenario, the voltage across the resistor and generator will be somewhere in between in phase and out of phase.
Sometimes in phase and sometimes out of phase.
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Complete this sentence. If the cone of force is facing an observer, the impact comes from the ________ side of the observer.
left
same
right
opposite
If the cone of force is facing an observer, the impact comes from the opposite side of the observer.
What is Newton's third law of motion?
Newton's third law of motion states that action and reaction force are equal and opposite. That is for every action, there is an equal and opposite reaction.
Mathematically, the formula for Newton's third law of motion is given as;
Fa = - Fb
where;
Fa is the impact force or force exerted on BFb is the reaction force of B due to applied force of AThus, when a force is applied from a side, the observed force or reaction will be directed in opposite direction. The force exerted and the reaction force are both equal in magnitude but occurs in opposite direction.
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To find the acceleration of a glider moving down a sloping air track, you measure its velocities (V1 and V2) at two points and the time t it takes between them, as follows:V1=0. 21+/- 0. 05m/s, V2=0. 85 +/- 0. 05m/s, t=8. 0 +/- 0. 1sa) Assuming all uncertainties are independent and random, find the average acceleration, a=(v2-v1)/t , and its uncertainty. B) How well does your result in part (a) agree with your friends theoretical prediction that a=0. 13 +/- 0. 01m/s^2
0.08 m/s2 is the average acceleration. The acceleration's degree of uncertainty is 0.0135 m/s2.
Describe acceleration.Accelerations are included in vector quantities. An object's acceleration in relation to a net force is determined by the direction of that force. Force imbalances lead to acceleration in a body.
Uniform, non-uniform, and average acceleration are the three primary types of accelerated motions. It is said to have uniform acceleration when an object moves in a straight line with an increase in speed that happens at regular intervals of time.
Acceleration is the term used to describe any change in the speed or direction of a motion. Anything that is accelerating is moving faster, slower, or in a direction other than straight forward.
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The same amount of steel used to create eight solid steel balls, each with a radius of 1 inch, is used to create one larger steel ball. What is the radius of the larger ball
Answer:
2 inches
Explanation:
Volume of a sphere = 4/3 pi r^3
for the EIGHT balls total volume = 8 * 4/3 pi (1^3) = 32/3 pi
This is the volume of the made-up ONE ball
4/3 pi r^3 = 32/3 pi
4/3 r^3 = 32/3
r^3 = 32/3 * 3/4
r^3 = 8
r = 2 inches
What is the sound level of rustling of leaves?
The sound level of rusting leaves is 20db.
Rustle is a quiet, muted cracking sound made when dry paper or leaves are moved. The movement of weak objects, like the leaves, produces a gentle sound. Ruffle would be the appropriate response because "leaves" is the noun in the sentence.
Over time, so many people have been mesmerized by the sounds of wind in the trees and the rustling of leaves, that they came up with the term "psithurism" to describe them. Psithurism has a silent first "p," like many other words that start with "ps," and is pronounced sith-err-iz-um.
We sometimes refer to a wind that is howling when it is strong and noisy: The trees shook as the wind howled.
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In a sealed container, Sarah combines a reactant with a mass of 8 grams with another reactant with a mass of 11 grams. After the reaction, what is the most reasonable prediction Sarah can make for the total mass of the products of this reaction?
6g
8g
10g
19g
which one
The most reasonable prediction Sarah can make for the total mass of the products of this reaction would be = 19g.
What is law of conservation of mass?The law of conservation of mass states that mass in neither created nor destroyed but can be changed from one form to another.
From the set up of the reaction carried out by Sarah, the container was in an enclosed medium.
Therefore since there is no loss of mass, the total mass of the products of this reaction would be = 11+8 = 19g.
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(TCO A) The primary reason for networking standards is to
Student Answer:simplify cost accounting for networks. Make it more difficult to develop hardware and software that link different networks. Ensure that hardware and software produced by different vendors can work together. Ensure that all network components of a particular network can beprovided by only one vendor. Lock customers into buying network components from one vendor
Make sure that software and hardware developed by various manufacturers can cooperate.
What exactly do vendors mean?A vendor is generally anybody who buys and sells goods or services. A vendor purchases products and services to resale them to different companies or individuals. Several different vendors provide the goods that big box stores like Target buy at deep discounts and then resale at higher retail rates.
The five major types of vendors are manufacturers, wholesalers, merchants, services and maintenance providers, independent vendors, and trade show representatives. Suppliers are sometimes referred to as the first link in a supply chain because they exclusively conduct business with other businesses. Contrarily, a vendor is a business or person that purchases things from a company and then sells them to another party.
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Two waves meet while traveling through the same medium. The crests of wave one meet up with the crests of wave two. If wave one has an amplitude of 4 and wave two has an amplitude of 3, what is the amplitude of the wave resulting from the interference
If wave one has an amplitude of 4 and wave two has an amplitude of 3, what is the amplitude of the wave resulting from the interference
Equation Used
The resulting intensity is calculated as follows: I = (sqrt(I1)-sqrt(I2))2
3 variables and 1 function are used in this formula.
Used Functions
Square root function and sqrt (Number)
used variables
The effect of two intensities coming together is called the "resulting intensity" (measured in candela).
The energy that the first wave transfers over a surface of a given area in a unit of time is measured as intensity 1 (measured in candela), which is equal to the energy density times the wave speed.
The energy that the second wave transfers over a surface of a certain area in a unit of time is measured as intensity 2 (measured in candela), which is equal to the energy density times the wave speed.
No conversion is necessary for intensity 1: 4 candela to 4 candela.
Intensity 2: No Conversion Needed 3 Candela to 3 Candela
Replacement of Input Values in a Formula
I is equal to (sqrt(I1)-sqrt(I2))2 --> (sqrt(4)-sqrt(3)).
2 Assessing...…
I = 0.0717967697244909
Candela: 0.0717967697244909 No Conversion Is Necessary
RESULT 0.0717967697244909 A candela Outcome Intensity (Calculation completed in 00.016 seconds)
What is Wave Interference?
When two waves that are moving in opposite directions arrive at the same location simultaneously, interference results. The two waves will combine into a temporary, larger wave with an amplitude equal to the sum of their individual amplitudes if their crests and troughs completely line up. Constructive interference is what this is. On the other hand, if the crests of two waves coincide, they either combine to form a smaller wave or completely cancel each other out. We refer to this as destructive interference.
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Now let's think about a balloon. We know the gas particles inside of the balloon are bumping against the sides. What keeps those gas particles from forcing the balloon to expand
The elasticity of the balloon's material keeps the 1particles from forcing it to expand. The material stretches as the gas particles bump against the sides, allowing the balloon to expand to a certain point before contracting again.
The elasticity of the balloon's material is an important factor in determining the balloon's shape and size. In general, the more elastic the material is, the more the balloon will be able to stretch and expand. When the material is not elastic enough, it will not be able to stretch and the balloon will remain in its original shape.
The elasticity of the material also affects the amount of air pressure within the balloon. A more elastic material will be able to hold more air pressure, while a less elastic material will not be able to hold as much pressure. This is why balloons with a higher pressure will usually be larger than balloons with a lower pressure.
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A 1000 kg car is travelling at 67 mph. When it reaches a construction zone the driver brakes for 200 m until the car is travelling at 49 mph. What force did the brakes apply to the car? Assume that there are 1609 metres in one mile and give your answer to the nearest thousand. use v^2 =u^2 +(2xAxS) and F=ma
Velocity of moving vehicle=v 0, and decceleration =a and Final velocity of the vehicale =0.
What is Velocity?Once more, the stopping distance is far more than the braking distance. It starts when the threat is identified and concludes when the car stops.
The reaction distance plus the braking distance, or points 1 and 2, together make up the stopping distance.
Therefore, in order to compute the necessary stopping distance, I must determine and add two partial values (reaction distance + brake distance). The reaction time is the amount of time it takes for a driver to spot a danger before braking.
Therefore, Velocity of moving vehicle=v 0, and decceleration =a and Final velocity of the vehicale =0.
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Frank is pulling on a rope to drag his backpack to school across the ice. He pulls upwards and rightwards with a force of 26.7 Newtons at an angle of 17 degrees above the horizontal to drag his backpack a horizontal distance of 129 meters to the right. Determine the work done upon the backpack. in joules.
The work done upon the backpack is 3293 Joule.
What is force?
The definition of force in physics is: The push or pull on a massed object changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
A spring balance can be used to calculate the Force. The Newton is the SI unit of force.
The work done upon the backpack is = applied force × displacement × cosα
= 26.7 N × 129 meters × cos17°
= 3293 Joule.
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The doctor lands his tardis on a planet whose radius is 1. 2x10^7m the acceleration due to gravity is 18m/s^2. What is the mass of the planet
The mass of planet is 3.886×10^25 kg. The radius of planet is 1. 2x10^7m.
What is a planet with half the mass's acceleration caused by gravity?Complete Resolution. If the acceleration caused by gravity on the surface of the earth is given by the formula g, then the acceleration caused by gravity on a planet with a mass half that of the earth and a radius equal to that of the earth is given by the formula g/2. Where G = 6.67 ×10^-11 N m2/kg2 (Newton's gravitational constant).
Is the explanation for the gravitational acceleration independent of mass?As a result, acceleration due to gravity (a) depends on the gravitational constant (G), the mass of the Earth (M), and the radius of the Earth (R), but not on the mass of the body (m).
Given:
Radius of planet (r) = 1. 2x10^7m
Acceleration due to gravity (g) = 18 m/s^2
The acceleration due to gravity at the surface of the planet is,
[tex]g=G\frac{M}{r^2}[/tex]
Where, G = Universal gravitational constant
[tex]G= 6.67*10^-11N.m^2/kg^2[/tex]
[tex]M=\frac{g*r^2}{G}[/tex]
[tex]M=\frac{18*(1.2*10^7)^2}{6.67*10^-11}[/tex]
M =3.886×10^25 kg
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You can just say if its A B C or D.
Thank you!
Suppose the particles in the preceding problem have masses The velocities of the particles are (a) Calculate the angular momentum of each particle about the origin. (b) What is the total angular momentum of the four-particle system about the origin?
Part A: The angular momentum of each particle about the origin
The angular momentum of the first particle is -0.4 kg.m²/s.The angular momentum of the second particle is 0.The angular momentum of the third particle is 1.3 kg.m²/s.The fourth particle's angular momentum is 0.Part B: The total angular momentum of the four-particle system is 0.95 kg.m²/s.
The expression used to calculate angular momentum L is:
L = r x mv
Here, r is the position vector of the object m is the mass and v is the velocity vector.
According to the superposition principle, the resultant angular momentum due to many particles is the vector sum of the individual angular momentum.
L = L₁ + L₂ + L₃ + ...
Here, L₁ is the angular momentum of a particle, L₂ is the angular momentum of the particle, and so on.
In the question
Mass of a particle = 5.0 kg
vector r = (2.0i - 3.0j) m
vector v = (3.0i) m/s
Part A (seen in the picture for instruction)
For particle 1
The position vector is 2.0j m
Substitute 0.10 kg from m₁, 2.0j from r, and 2.0i m/s for v₁ in the expression of angular momentum
L = r x mv
L₁ = (2.0jm) x [(0.10 kg)( 2.0i m/s)]
L₁ = -4.0 kg.m²/s
The angular momentum for the first particle is -4.0 kg.m²/s.
For particle 2
Position vector is (2.0i - 2.0j) m
Substitute 0.20 kg from m₂, (2.0i - 2.0j) m from r, and (3.0i - 3.0j)m/s for v₂ in the expression of angular momentum
L₂ = (2.0i - 2.0j) m x [ (0.20 kg) (3.0i - 3.0j) m/s]
L₂ = 0
The angular momentum for the second particle is 0
For particle 3
The position vector is (-3.0i + 1.0j) m.
Substitute 0.30 kg from m₃, (-3.0i + 1.0j) m from r, and -5.0j m/s for v₃ in the expression of angular momentum
L₃ = (-3.0i + 1.0j) m x [((-3.0i + 1.0j) m) ( -5.0j m/s)]
L₃ = 1.35 kg.m²/s
The angular momentum for three particles is 1.35 kg.m²/s.
For particle 4
The position vector is 4.01i m.
Substitute 0.40 kg from m₄, 4.0i m from r, and -4.0i m/s for v₄ in the expression of angular momentum
L₄ = (4.0i m) x [(0.40 kg) (-4.0i m/s)
L₄ = 0
The angular momentum for four particles is 0.
Part B
Formula used: L = L₁ + L₂ + L₃ + L₄
The total angular momentum of the four-particle system is calculated as follows:
By superposition principle
L = L₁ + L₂ + L₃ + L₄
L = -4.0 kg.m²/s + 0 + 1.35 kg.m²/s + 0
L = 0.95 kg.m²/s
Hence, the total angular momentum of the four-particle system is 0.95 kg.m²/s.
Your question is incomplete but most probably your full question was:
Suppose the particles in the preceding problem have masses m₁ =0.10 kg, m₂=0.20 kg, m₃ = 0.30 kg, m₄ = 0.40 kg. The velocities of the particel are v₁= 2.0i m/s,v₂= (3.0i - 3.0j) m/s, v₃= - 1.5j m/s, v₄= -4i m/s.
(a) Calculate the angular momentum of each particle about the origin.
(b) What is the total angular momentum of the four-particle system about the origin?
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39) Three different dynamic carts of different masses are rolled down a ramp. The heaviest one rolls down the ramp the fastest. Before concluding that a more massive cart will roll down a ramp faster, what experiment with these three carts might you want to do
According to the given information the answer is Add masses to each car until they have the same mass, then test the carts again.
What is dynamic carts?Features three low friction ball bearing wheels and matched axles to assure their rolling along a true line without deviation to produce accurate data, and a sturdy steel body to endure rigorous handling. Each cart is around 1.5 kg in weight. The ends of the cart lift above the bed to transport a brick or any other bulk, and the cart bed is covered with a rubber pad. At one end of the cart, there is a clip where a tape can be fastened. Each cart's pins fit into the holes in the others, allowing the mass to be doubled by stacking them.
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The complete question is-
Three different dynamic carts of different masses are rolled down a ramp. The heaviest one rolls down the ramp the fastest. Before concluding that a more massive cart will roll down a ramp faster, what experiment with these three carts might you want to do?
Run an experiment with the ramp at a different angleFind a fourth cart to add to the test, then test againChange the surface of the ramp, then test the carts againAdd masses to each car until they have the same mass, then test the carts againThe image below shows the combined wave for Sound A + B, where Sound A has a higher frequency than Sound B. What is the frequency of Sound A?
The frequency of Sound A is 440.3 Hz.
What is the resultant frequency of the two sound waves?The resultant frequency of the sound A and sound B is calculated as follows;
Mathematically, the relationship between period and frequency of a wave is given as;
F = 1 / T
where;
T is the period of the waveThe resultant frequency from the given graph is calculated as;
The period of the sound in the image = 0.3 s
F = 1 / T
F = 1 / 0.3 s
F = 3.3 Hz
If sound B = 437 Hz, the frequency of sound A which is greater is calculated as;
F ( A ) = 437 Hz + 3.3 Hz
F ( A ) = 440.3 Hz
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A 63.0-kg sprinter starts a race with an acceleration of 3.20 m/s2. If the sprinter from the previous problem accelerates at that rate for 20.0 m, and then maintains that velocity for the remainder of the 100.0-m dash, what will be his time for the race
At his current velocity the sprinter will complete the 100.0-m dash in 28.53 s.
What is velocity?
Velocity is a vector quantity that describes the rate of change of an object's position. It is a measure of how fast an object is moving and in what direction. Velocity is measured in units of meters per second (m/s) or miles per hour (mph) and is often represented by the symbol "v".
We can use the equations of motion to calculate the time for the sprinter to complete the race.
First, we can use the equation:
v = u + at
to find the final velocity of the sprinter after accelerating for 20.0 m. Here, u is the initial velocity (which is 0 m/s since the sprinter is at rest at the start of the race), a is the acceleration of 3.20 m/s^2, and t is the time it takes for the sprinter to accelerate for 20.0 m.
v = 0 + (3.20 m/s^2)(t)
We know that the sprinter accelerates for 20.0 m, so we can use the equation:
s = ut + 1/2at^2
to find the time t:
20.0 m = (0 m/s)(t) + 1/2(3.20 m/s^2)(t^2)
t^2 = (20.0 m) * 2 / (3.20 m/s^2) = 12.5
t = sqrt(12.5) = 3.53 s
So the time it takes for the sprinter to accelerate for 20.0 m is 3.53 s.
Next, we can use the equation:
v = d/t
to find the time it takes for the sprinter to cover the remaining 80.0 m of the race at his final velocity. Here, d is the remaining distance of 80.0 m and v is the final velocity found before.
t = d/v = 80.0 m / (3.20 m/s) = 25.0 s
So the time it takes for the sprinter to cover the remaining 80.0 m of the race at his final velocity is 25.0 s
So the total time for the race is the sum of the time it takes to accelerate and the time it takes to cover the remaining distance at a constant velocity:
t = 3.53 s + 25.0 s = 28.53 s
Hence, at his current velocity the sprinter will complete the 100.0-m dash in 28.53 s.
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The film strip that emerges from the camera is usually a ______________. That is, its color and light values are the opposite of those in the original scene.
The film strip that emerges from the camera is usually a Negative. That is, its color and light values are the opposite of those in the original scene.
What controls how much light enters the camera?One of the three camera settings that affects exposure is the aperture. The shutter speed, aperture, and ISO settings are together referred as as the "exposure triangle." By adjusting the relative amount of light entering a camera lens, an aperture can change the exposure.
What part of the camera and eye controls how much light enters?A camera's shutter can close or open depending on how much light is required to expose the film at the rear of the device.
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if 15.0 g of water vapour at 135°C cools to 100°C, condenses to liquid water, and then cools to 90°, how much energy is released to the environment?
The heat that is evolved by the environment is 36.42 kJ.
What is the heat that is involved?We know that heat is a form of energy that can be known for the fact that it could lead to a change in the temperature of the object. We have to note that the energy that is released is a sum total of all the process that are involved here.
We know that;
H = (15 * 4.18 * (135 - 100)) + (15 * 2240) + (15 * 4.18 * (100 - 90))
H = 2194.5 + 33600 + 627
H = 36.42 kJ
The total heat that has been evolved would now be 36.42 kJ.
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Two particles P and Q are initially at rest 1.64 m apart, P has a mass of 1.43 kg and Q a mass of 4.29 kg. P and Q attract each other with a constant force of 1.79 x 10-2 N. No external forces act on the system. (a) Describe the motion of the center of mass. (b) At what distance from P’s original position do the particles collide?
(a)The center of mass of the system has no acceleration, and remains at the same position as it was earlier.
(b)The particle P, collide at a distance 1.23m from P's original position.
What is acceleration?Vector quantities include accelerations. The direction of the net force imposed on an object determines its acceleration in relation to that force.Acceleration in a body is the result of imbalanced forces.The three main categories of accelerated motions are uniform, non-uniform, and average acceleration. When an item moves in a straight path with an increase in speed occurring at regular intervals of time, this motion is referred to as having uniform acceleration.Any modification of motion's speed or direction is referred to as acceleration. When anything is speeding up, slowing down, or not traveling straight ahead, it is said to be accelerating.To learn more about acceleration refer to:
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The hanging mass is referred to as M and it sets the centripetal force.
True
False
Answer:
False
Explanation:
The centripetal force is the force that points towards the center and is responsible for keeping an object in a curved path. This force is provided by the tension in the string, not the mass of the object.
A red cart is moving rightward with a momentum of 50 kg cm/s when it collides with a blue cart of equal mass that is initially at rest. The two carts stick together and move to the right with the same speed after the collision.
The final velocity of the red-blue carts system is 5 cm/s.
What is the final speed of the two carts after collision?
The final speed of the two carts, that is the red cart and the blue cart system after the collision is calculated by applying the principle of conservation of linear momentum.
Pi = Pf
m₁u₁ + m₂u₂ = v ( m₁ + m₂ )
where;
m₁ is mass of the red cartm₂ is the mass of the blue cartu₁ is initial velocity of the red cartu₂ is the initial velocity of the blue cartv is the final velocity of the two carts after the collisionm₁u₁ + 0 = v ( m₁ + m₂ )
m₁u₁ = v ( m₁ + m₂ )
v = ( m₁u₁ ) / ( m₁ + m₂ )
The final velocity of the red-blue carts system is calculated as;
v = ( 50 kg cm/s ) / ( 5 kg + 5kg )
v = 5 cm/s
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The complete question is below:
A red cart is moving rightward with a momentum of 50 kg cm/s when it collides with a blue cart of equal mass that is initially at rest. The two carts stick together and move to the right with the same speed after the collision. What is the final velocity of the two carts system after the collision if the mass of the blue cart is 5 kg.
An ambulance racing down the highway has 14,600,000 J of energy. It is moving 34 m/s. What is the mass of the ambulance? (Round
your answer to two decimal places) KE=1/2mva^2
The ambulance weighs 16.97 tons, and the kinetic energy of an object is given by the formula KE = 1/2mv2, where m is the object's mass, v is its velocity, and KE is the kinetic energy.
What is kinetic energy and above explanation?Kinetic energy is the energy an object possesses due to its motion, and it is calculated as 1/2mv^2, where m is the mass of the object and v is its velocity. It represents the ability of an object to do work by virtue of its motion.Given that the ambulance has 14,600,000 J of energy and is moving at 34 m/s, we can use this formula to find the mass of the ambulance:KE = 1/2mv^214,600,000 J = 1/2m(34 m/s)^2To solve for mass, we can divide both sides of the equation by (1/2)(34 m/s)^2:m = (14,600,000 J) / [(1/2)(34 m/s)^2]m = 14,600,000 J / (1/2)(1156 m^2/s^2)m = 14,600,000 J * (2/1156 m/s^2)m = 16.97 tonSo the mass of the ambulance is approximately 16.97 ton.
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A new way of "multiplying" two vectors is introduced in this chapter. What is it called? Select one: O a. The tensor product. O b. The angular product. Oc. The scalar product. O d. The dot product. O e. The cross product.
The correct option is option e) cross product
The cross-product is a new way of "multiplying" two vectors. It results in a new vector that is perpendicular to both the original vectors and its magnitude is given by the area of the parallelogram formed by the two original vectors.
In three-dimensional space, cross-product is a binary operation on two vectors. It yields a vector perpendicular to both vectors. a b represents the vector product of two vectors, a and b. Its resulting vector is parallel to a and b. Cross goods are another name for vector products.
The cross-product has four basic applications:
calculating the angle () between two vectorsdetermining a vector normal to a planecalculating the moment of a force about a pointcalculating the moment of a force about a line.Read more about Cross-Product from:
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