By parameterizing the circle of radius 4 in the specified quadrant and applying the formula for a scalar line integral, it is determined that the integral of the given function along this path is equal to 8π.
To compute the scalar line integral, we need to parameterize the given circle of radius 4 in the given quadrant. We can do this by letting x = 4cos(t) and y = 4sin(t), where t ranges from pi/2 to 0.
Then, we can express ds in terms of dt and substitute in x and y to obtain the integrand. We get xyds = 16 cos(t) sin(t) sqrt(1+cos²(t))dt. To evaluate the integral, we can use u-substitution by setting u = cos(t) and du = -sin(t)dt.
Then, the integral becomes -16u² sqrt(1+u²)du with limits of integration from 0 to 1. We can use integration by parts to evaluate this integral, which yields a final answer of -32/3. Therefore, the scalar line integral is -32/3.
To know more about the scalar line integral refer here :
https://brainly.com/question/10126973#
#SPJ1
Far in space, where gravity is negligible, a 465 kg rocket traveling at 75.0 m/s in the positive x-direction fires its engines. The figure (Figure 1)shows the thrust force as a function of time. The mass lost by the rocket during these 30.0 s is negligible.
The impulse generated by the rocket is 15000 Ns
What is Impulse?In classical mechanics, the integral of a force, F, over the time period over which it acts, t, is known as the impulse (abbreviated J or Imp).Impulse is a vector quantity because force is one as well. When an item receives an impulse, its linear momentum also changes in the opposite direction in an analogous vector. The kilogram meter per second (kg m/s), which is dimensionally identical to the kilogram second (Ns), is the SI unit for momentum.For as long as it acts, a resultant force generates acceleration and a change in the body's velocity. The change in momentum is equal to the product of the average force and duration, hence a resultant force delivered over a longer period of time results in a greater change in linear momentum than a resultant force applied quickly.Solution:
Mass of the rocket = 465kg
Velocity of the rocket = 75m/s
Time taken = 30s
Impulse = [tex]I = F \Delta t[/tex]
[tex]I = \int F(t)dt[/tex]
Impulse so generated is equal to the area of triangle
I = [tex]\frac{1}{2} \times 30\times1000[/tex]
I = 15000 Ns
know more about impulse
https://brainly.com/question/904448
#SPJ4
5. A roller coaster car accelerates at 8.0 m/s² for 4.0 s. What
is the change in the speed of the roller coaster car?
Answer:
monkey tunky funky luncky
A large raindrop--the type that lands with a definite splat--has a mass of 0. 014 g and hits your roof at a speed of 8. 1 m/s.
(a) The magnitude of the impulse delivered to your roof is 1.134 × 10⁻⁴ kg m/s.
(b) The magnitude of the force of the impact is 0.307 N.
Given that,
Mass of the rain drop is m = 0.014 g = 0.014 × 10⁻³ kg
Speed of the rain v = 8.1 m/s
Time of motion t = 0.37 ms = 0.37× 10⁻³ s
The following formula is used to determine the roof impulse,
J = ΔP = m× v
⇒ (0.014 × 10⁻³)× 8.1 = 1.134 × 10⁻⁴ kg m/s
Newton's second law of motion is used to compute the force of impact in the following ways,
F = m × a
F = [(0.014× 10⁻³) 8.1]/(0.37× 10⁻³) = 0.307 N
The given question is incomplete. The complete question is 'a. What is the magnitude of the impulse delivered to your roof?
b. If the raindrop comes to rest in 0. 37 ms, what is the magnitude of the
average force of the impact?'
To know more about impulse:
https://brainly.com/question/30055515
#SPJ4
Scenario
Consider a coin of massm placed on a rotating surface a
distance R from the axis of rotation. The surface rotates with a
period T. There are some locations on the surface where the coin
can be placed and the force of static friction will not allow the com
to slip. At other locations, the coin will slip because static friction or
not strong enough to present the coin from slipping. The coefficient
of static fraction between the coin and the surface is u
The coefficient of the static friction(ц) between the coin and the surface is v²/gR.
The mass of the coin = m kg
The distance of the coin from the axis of rotation = R meter
Let the speed of the rotating surface = v m/sec
We know that an object moving in a circular motion on a circular path of radius R, experiences a centrifugal force which acts outwards from the axis of rotation. This force is determined by the following formula,
F = mv²/R
This force is balance by the static friction force on the coin.
Static friction force on the coin = mg × static friction(ц)
mv²/R = mg × static friction(ц)
Static friction(ц) = v²/gR
To know more about static friction, here
https://brainly.com/question/24882156
#SPJ4
A transformer is used to convert 120 V household electricity to 6 V for use in a portable CD player. If the primary coil connected to the outlet has 1000 turns, how many turns does the secondary coil have
The number of turns in the secondary coil of the transformer is 50.
What is a Transformer?
The transformer is a device used to increase or decrease the input voltage.
The ratio of the output voltage to the input voltage gives the turn ratio of the secondary coil and the primary coil. The ratio is given by the formula,
V2/V1=n2/n1
where V2 is the output voltage, V1 is the input voltage, n2 is the number of turns on the secondary coil and n1 is the number of turns on the primary coil.
Given V1=120 V, V2= 6 V, and n1=1000 turns, substitute these values in the above formula and solve it to get the value of n2.
6/120 = n2/1000
n2=6*1000/120
n2=50
Learn more about transformers here:
https://brainly.com/question/14038110
#SPJ4
A spring with a spring constant of 2.00N/m applies a force of 0.500N when it is compressed. How much was the spring compressed?
What is the velocity of a ball that is thrown 8 meters toward 3rd base in 4 seconds
Answer:
V=∆s/∆t
V=800/4
V=200
you have to change 8meters into centimeters and please let me know if I'm wrong
How do the resistances of two conducting wires compare if they have the same length, but one is twice the radius of the other?.
The thicker wire has one-fourth the resistance of the thinner wire.
What are resistance and resistivity?The characteristic of a substance that prevents the flow of current is known as resistance. The free electrons begin to move in a specific direction when a voltage is applied across the conductor. These electrons collide with atoms or molecules as they move, creating heat in the process. These atoms or molecules prevent free electrons from moving through a substance. Resistance is represented by the symbol R.
Specific resistance is another name for resistivity. A substance with certain dimensions, such as one meter in length and a cross-sectional area of one square meter, has a resistance that is represented by its resistivity. Resistivity or specific resistance is represented by ρ.
The relation between resistance R and resistivity ρ is given as:
R = ρL/A
where,
R = resistance of the conductor
ρ = resistivity of the material
L = length of the conductor
A = cross-sectional area of the conductor
Calculation:Given,
r₁ = 2r₂
L₁ = L₂
where
r₁ = radius of the first conductor
r₂ = radius of the second conductor
L₁ = length of the first conductor
L₂ = length of the second conductor
To find
R₁/R₂ =? (the ratio of R₁ and R₂)
If the radius is twice the other then the area will become,
A₁ = π r₁²
A₂ = π r₂²
A₁ = π (2r₂)²
= 4π r₂²
Therefore,
A₁ = 4 A₂
Now put the values in formula,
R = ρL/A
R₁/R₂ = ρ L₁ A₂/ ρ L₂ A₁
R₁/R₂ = L A₂/ L (4A₂)
R₁/R₂ = 1/4
R₁ = R₂/4
Hence, the thicker wire with twice the radius of thin wire has one-fourth the resistance of the thinner wire.
I understand the question you are looking for is this:
How do the resistances of two conducting wires compare if they have the same length, but one is twice the radius of the other?
(a) The thicker wire has half the resistance of the thinner wire
(b) The resistance is the same in both wires
(c) The thicker wire has one-fourth the resistance of the thinner wire
(d) The thicker wire has twice the resistance of the thinner wire.
Learn more about resistance here:
https://brainly.com/question/14547003
#SPJ4
A car applies a force of 36. 8 newtons for a 668-meter loop; what was the work done?.
The value of the work that was done on the car is 24.6 J.
How to calculate how much the work on the car was done?Work is an energy that move from or to one object into another object that might make the object have the displacement, or we can say work is equal to force multiply with displacement in meters. In formula form, it will be written as W = F x s. As per data given F = 36.8 N and s = 668 m. The work will be:
W = F x s
W = 36.8 x 668
W = 24,582J
Let round the work value. So, the work value will be 24.6 J
Learn more about force here
https://brainly.com/question/12785175
#SPJ4
Calculate the amount of energy required to escape from the surface of the following bodies, relative to that required to escape from the surface of Earth.
(a) Venus
_____ energy to escape Earth
(b) the Sun
_____ energy to escape Earth
The amount of energy required to escape from the surface are:
(a) Venus: about 40,250 m/s, or 0.9 times the energy required to escape Earth(b) the Sun: about 617,250,000 m/s, or 2 x 10^5 (two hundred thousand) times the energy required to escape Earth.Venus's Energy to Escape EarthTo calculate the energy required to escape from the surface of relative to that required to escape from the surface of Earth, we can use the formula for escape velocity (Ve) which is:
Ve = √(2GM/R)Where G is the gravitational constant, M is the mass of the celestial body and R is its radius.
First, we need to calculate the escape velocity of Venus (VeV) and Earth (VeE) using the formula above:
VeV = √(2GM_V/R_V)VeE = √(2GM_E/R_E)And the ratio of VeV/VeE = √(M_V/R_V) / √(M_E/R_E)
Given the mass of Venus is 4.87 x 10^24 kg and radius of Venus is 6.0518 x 10^3 km, we can calculate the ratio of Venus escape velocity over Earth escape velocity:
VeV/VeE = √(4.87 x 10^24 / 6.0518 x 10^3) / √(5.97 x 10^24 / 6.371 x 10^3) VeV/VeE = 0.9So the energy required to escape from the surface of Venus relative to that required to escape from the surface of Earth is about 0.9. This means that Venus escape velocity is 90% of the energy required to escape Earth.
To calculate the escape velocity of Venus in m/s, we can use the same formula:
Ve = √(2GM/R)Where G is the gravitational constant (G = 6.67 x 10^-11 Nm^2/kg^2), M is the mass of Venus (M = 4.87 x 10^24 kg) and R is its radius (R = 6.0518 x 10^3 km). Hence:
Ve = √(2 * 6.67 x 10^-11 Nm^2/kg^2 * 4.87 x 10^24 kg) / 6.0518 x 10^3 km)Ve = √(2 * 6.67 x 10^-11 * 4.87 x 10^24 ) / 6.0518 x 10^3Ve = √(5.88 x 10^14) / 6051.8Ve = 40250 m/sThe Sun's Energy to Escape EarthGiven the mass of the Sun is 1.989 x 10^30 kg and radius of the Sun is 6.963 x 10^8 meters, we can calculate the ratio of the Sun's escape velocity over Earth escape velocity:
VeS/VeE = √(1.989 x 10^30 / 6.963 x 10^8) / √(5.97 x 10^24 / 6.371 x 10^3) VeS/VeE = 2 x 10^5So the energy required to escape from the surface of the Sun relative to that required to escape from the surface of Earth is about 2 x 10^5 (two hundred thousand) times the energy required to escape Earth. This means that the Sun's escape velocity is 200,000 times larger than the energy required to escape Earth.
To calculate the escape velocity of The Sun in m/s, we can use the same formula as Venus:
Ve = √(2 * 6.67 x 10^-11 Nm^2/kg^2 * 1.989 x 10^30 kg) / 6.963 x 10^8 m)Ve = √(2 * 6.67 x 10^-11 * 1.989 x 10^30 ) / 6.963 x 10^8Ve = √(5.3 x 10^20) / 6963000000Ve = 617,250,000 m/sLearn more about escape velocity here: brainly.com/question/29911258
#SPJ4
Two metal balls are the same size, but one weighs twice as much as the other. The balls are dropped from the top of a two story building at the same instant of time. The time it takes the balls to reach the ground below will be:
The time taken by the metal balls of the same size but different weight, to reach the ground will be the same.
Reason behind:
Two metal balls are the same size, but one weighs twice as much as the other. The balls are dropped from the top of a two-story building at the same instant of time. It is required to find the time taken by the balls to reach the ground.
In free fall, all objects experience the same acceleration owing to gravity when they are close to the earth.
[tex]g=9.8 \text{ m/s}^2[/tex] is the measure of gravitational acceleration.
Because of this, the two metal balls are the same size but have different masses. The air resistance for both balls will be the same due to their similar sizes. Let, g' be the acceleration in the presence of air resistance. The balls are both discharged at once.
From a height of h, both balls descend due to gravity G'.
Therefore, the time taken by both balls is:
[tex]\begin{aligned}&s=u t+\frac{1}{2} g t^{2} \\&u=0, s=h \\&t=\sqrt{\frac{2 h}{g}}\end{aligned}[/tex]
Therefore, the time is independent of mass. Thus the time taken by both the balls, will be about the same.
Learn more about time taken by metal ball to reach the ground here,
https://brainly.com/question/22719691
#SPJ4
Mention and describe (6) examples in which physics has been used in daily life
Six examples in which Physics has been used in daily life include:
TransportationCommunicationsEnergy productionMedical imagingConstructionEntertainmentWhat are some uses of physics in daily life ?Physics plays a major role in transportation, from the design of cars and airplanes to the operation of trains and buses. Physics is also used in communications, from the design of telephone networks to the operation of the internet.
Physics is used to generate energy from various sources, such as fossil fuels, nuclear power, hydroelectric power, and wind power. Physics is used in medical imaging, such as X-rays, CT scans, and MRI.
Physics plays a major role in construction, from the design of buildings and bridges to the materials used in construction. Physics is also used in entertainment, from the design of amusement park rides to the operation of video games.
Find out more on the uses of physics at https://brainly.com/question/24517831
#SPJ1
PLEASE ANSWER!! 1A. Volcanic eruptions are caused by ________.
A
increasing temperature in the Earth’s mantle.
B
the build-up of heat, energy, and pressure underground.
C
the movement of tectonic plates.
D
magma chambers turning to rock.
Answer: B
Explanation:
As gas bubbles accumulate, the upward pressure increases, forcing cracks in the rocks to widen, often in the direction of Earth's surface. For magma to erupt from a volcano, this upward pressure must exceed the downward pressure that is exerted by the eight-kilometer (five mile) thick load of rock overhead.
White lights can sometimes be found on what kind of buoys?
a. daytime buoys
b. green buoys
c. red buoys
White lights can sometimes be found on red buoys.
Hence, Option C is correct answer.
How can we understand that White lights can sometimes be found on red buoys?Buoys consist of a float, mooring chain and anchor. They may be equipped with lights and/or sound signals such as bells, gongs, or whistles.We know that, Red buoys are found on the starboard side of a channel when entering from seaward and can be lighted buoys, nuns, or triangular daymarks. Red buoys, if lit, have red or white lights, and the light pattern can be fixed, flashing, occulting, quick–flashing, or of equal intervals.Thus from the above conclusion we can say that White lights can sometimes be found on red buoys.
Hence, Option C is correct answer.
Learn more about buoys here:
https://brainly.com/question/2721533
#SPJ1
A 8. 43-newton force was applied for an unknown displacement; however, it is known that 376 joules of work was done. What is the value of the mystery displacement?(1 point).
Answer:
8.74 m
Explanation:
W = FΔx
376 = 43(Δx)
8.74 = Δx
Hey there everyone!
_____________________________________________________
Answer:
So, if you have the following to choose from:
O 368 m
O 44.6 m
O 384 m
O 3170 m
44.6 m (aka. Option B) is correct.
_______________________________________________________
Step By Step Explanation:
1. F = 8.43 N
2. W = 376 J
3. W = F x d
4. 376 J = 8.43 N × d
5. d = 44.6 m ← Our Final Solution
_______________________________________________________
Hope this helps! If you still need help on this, feel free to check out the flash cards I made below.
h t t p s : / / q u i z l e t . c o m / 7 6 4 3 6 7 9 6 0 / p h y s i c a l - s c i e n c e - 2 2 - f o r c e - a n d - w o r k - r e l a t i o n s h i p s - f l a s h - c a r d s / ? n e w
POGIL - Energy of Option: The Effect of Mass and Speed (Student PS Activity 10) Answer key
Although mass does not directly affect speed, as an object's speed increases, so does its mass. The term "mass" refers to a thing's total amount of energy. Thus, we draw the conclusion that while a particle's mass increases with speed, its charge stays constant.
What is mass?A thing's mass is the total amount of stuff or substance that constitutes it. The measurement unit is the kilogramme, also written as kg. It's important to remember that mass is distinct from weight. Mass never changes, whereas weight fluctuates as the centre of gravity shifts. The best way to understand mass is to think about how much matter each object or body is made up of. Everything that we can see has mass.
How do we measure mass?A balance is used to determine an object's mass for the majority of commonplace objects. The balance compares the target object to a known mass object. Digital scientific balances and beam balances, like a triple beam balance, are examples of several sorts of balances.
To know more about Mass visit:
https://brainly.com/question/18064917
#SPJ1
Two identical objects, A and B move along straight, parallel, horizontal tracks. The graph above represents the velocity as a function of time for the two objects.
(a) Indicate which of the two objects, if either, has a decreasing speed during the time interval shown. If neither object has a decreasing speed, indicate this explicitly. Briefly explain your answer.
(b) Indicate at approximately which time or times, if any, the objects are moving at the same speed. If the objects are never moving with the same speed during the interval shown, indicate this explicitly. Briefly explain your answer.
(c) For which object, if either, is the magnitude of the net work done on it greater for the time interval shown? If the net work has the same magnitude for both objects, indicate this explicitly.
(d) In a clear, coherent paragraph-length response, explain your response to part (c).
(a) According to the graph, neither object A nor object B has a decreasing speed during the time interval shown. This can be inferred from the graph, as the slope of the line representing the velocity of both objects is always positive (going upwards) and never negative (going downwards).
(b) According to the graph, the objects are never moving at the same speed during the time interval shown. This can be inferred from the graph, as the lines representing the velocity of the two objects never intersect, indicating that they are never at the same point on the graph at the same time.
(c) According to the graph, the magnitude of the net work done on object A is greater than that on object B for the time interval shown. This can be inferred from the graph, as the area under the line representing the velocity of object A is greater than that of object B.
(d) The net work done on an object is equal to the force applied to the object multiplied by the distance it moves in the direction of the force. From the graph, it can be seen that object A has a greater velocity than object B for the entire time interval shown, which means that it covers a greater distance in the same amount of time, and therefore the net work done on object A is greater than that on object B. This can be seen by the area under the velocity graph, the area under the graph of object A is greater than that of object B. This means that the force applied to object A is greater than that applied to object B, and that the net work done on object A is greater than that on object B.
How to calculate speed in physics?In physics, velocity is the rate of change of an object's position with respect to time. To calculate velocity, you need to know the initial position of the object, the final position of the object, and the time it took for the object to move from the initial position to the final position. Once you have this information, you can use the following formula to calculate velocity:
Velocity = (Final position - Initial position) / Time
The unit of velocity is typically meters per second (m/s) or kilometers per hour (km/h).
Learn more about velocity in brainly.com/question/18084516
#SPJ1
Besides astronomy, what did copernicus study in school?
Besides astronomy, copernicus study paintings and mathematics in school of the university of krakow.
The basic ideas of Copernicus already appear in the 7 ’axioms’ of his first published work, the Commentariolus. These axioms were:
1. There is no single centre for all orbits in the universe.
2. The Earth’s centre is not the centre of the universe, but only of the lunar orbit.
3. The centre of the universe is near the sun.
4. The distance from the Earth to the sun is imperceptible compared with the distance to the stars.
5. The daily rotation of the Earth accounts for the apparent daily rotation of the stars, which themselves are immobile.
6. The apparent annual cycle of solar motion is caused by the Earth revolving round it once every year.
7. The apparent retrograde motion of the planets is caused by the motion of the Earth around the sun, and from which one observes the planets.
To know more about copernicus here
https://brainly.com/question/10451801
#SPJ4
What is the speed of a wave that has a frequency of 220 Hz and a wavelength
of 0.39 m?
A. 564 m/s
OB. 85.8 m/s
OC. 0.01 m/s
D. 0.002 m/s
Answer:
B 85.8m/s
Explanation:
frequency(Hz) = 220
wavelength(m) = 0.39
formula for Speed of a wave
Speed = Wavelength x Frequency
speed = 0.39 × 220
speed = 85.8m/s
i hope this helped
Answer: B. 85.8 m/s ✅
Explanation: The speed of a wave can be calculated using the equation:
Velocity = Frequency * Wavelength
Given that the frequency of the wave is 220 Hz and the wavelength is 0.39 m, we can plug these values into the equation:
Velocity = 220 Hz * 0.39 m
The speed of the wave is 85.8 m/s or approximately 309 km/h or 192 mi/h ✅
PLEASEEEE GIVE BRANLIEST
Why would we prefer to use the 0. 01uf capacitor in the feedback loop even though the circuit does not integrate quite as well over as large a range?
At 0 frequency (0Hz) or DC, the capacitor acts like an open circuit due to its reactance for this reason blocking off any output voltage feedback. As a result, little or no negative feedback is furnished from the output again to the input of the amplifier.
Therefore at low frequencies, the LPF has finite output and at high frequencies the output is nil, that's identical to an integrator circuit. for this reason, a low skip filter can be said to be worked as an integrator. Then the voltage variant in C may be very small.
A common op-amp circuit uses a remarks capacitor to limit the bandwidth. proscribing op-amp bandwidth will reduce noise, so a remarks capacitor is not an unusual way to reduce noise. To apprehend how the comments capacitor works, remember that a capacitor acts as a brief to “high frequency” AC indicators.
Learn more about frequency here: https://brainly.com/question/16148316
#SPJ4
When working with a hybrid vehicle HV What are some safety precautions that need to be taken?
When working with a Hybrid Vehicle (HV), there are certain safety precautions that must be taken in order to ensure the safety of you and your vehicle. First and foremost, make sure you read and understand the vehicle’s owner's manual before attempting to operate the vehicle.
This is the best source of information for understanding the safety features and operational guidelines for the HV.
Additionally, always use the correct size and type of tires, as stated in the owner’s manual. This will help to ensure optimal performance and safety. Additionally, inspect the brakes of the hybrid vehicle HV regularly, and make sure all lights and signals are working properly.
Finally, check the battery and make sure it is in good condition. Following these steps will help to ensure the safe and efficient operation of your HV.
To learn more about hybrid, click here:
https://brainly.com/question/14610495
#SPJ4
When hydrogen is fused into helium, energy is released from Choose one: A. the increase in pressure. B. the decrease in the gravitational field. C. conversion of mass to energy. D. gravitational collapse.
The nuclear fusion of hydrogen atoms releases a huge amount of energy. So the correct choice is C. Conversion of mass to energy.
What is nuclear fusion?
When two small nuclei join to form a new nucleus, then this process is termed nuclear fusion. A huge amount of energy is released when there occurs nuclear fusion between the two nuclei. And a new element is formed.
It has been observed that the amount of energy released in nuclear fusion is equal to the mass difference between the mass of the formed nucleus and the total mass of old nuclei. Hence in the nuclear fusion of hydrogen nuclei to form a helium nucleus, the energy is released due to the conversion of mass into energy.
The pressure is increased to make the hydrogen atoms fuse but this change in pressure does not contribute to the energy released in the fusion of hydrogen.
The magnitude of the gravitational field is too low and it does not contribute to the energy released in the fusion of hydrogen.
The gravitational collapse does not occur between the two hydrogen atoms. This phenomenon occurs in celestial bodies so this also does not contribute to the energy released in the fusion of hydrogen.
Learn more about nuclear fusion here:
https://brainly.com/question/10165218
#SPJ4
Explain Ramachandran's thoughts from the interview on how mirror
neutrons connect science with humanities. How did the mirror neutrons
influence the development of civilization?
The intriguing functions of mirror neurons are described by neuroscientist Vilayanur Ramachandran. These neurons, which have only lately been found, enable us to acquire intricate social skills.
Describe a mirror.A mirrors is a collection of features that reflects light and creates an actual or fictitious picture. When an item is placed front of a mirror, the mirror reflects the same object. Glass can also be coated with metal to create mirrors.
What material does a mirror have?Wet depositing of silver or aluminum is primarily used in the manufacture of contemporary mirrors. The glass substrate is first cleaned and polished to get rid of blemishes and pollutants. Next, a sequence of coatings must be applied to the glass, starting with tin chloride.
To know more about mirror visit:
https://brainly.com/question/3795433
#SPJ1
How much time does it take for a fish swimming at a speed of 15 kilometers per hour to travel a distance of 900 kilometers?
The time it will take a fish swimming at a speed of 15 kilometers per hour to travel a distance of 900 kilometers would be = 60hours.
What is speed?Speed is defined as the scalar quantity that is used to define the rate of movement of an object with respect to time.
That is; Speed = distance/ time = s/t = km/hr
Speed = 15 km/hr
Distance = 900km
Time = X
Make t the subject of formula;
t = speed/distance = 900/15 = 60hours.
Learn more about speed here:
https://brainly.com/question/24739297
#SPJ1
PLEASE HELP
Johannah wants to know the spring constant of her bow. She created the graph shown by measuring the force required to stretch her bow to various displacements.
If this specific bow is stretched 40 cm to shoot an arrow that has a mass of 20 grams,
The spring constant of the bow is 0.49 N/m.
What is the spring constant of the bow?The spring constant of the bow is calculated by applying Hooke's law, which states that force applied to an elastic material is directly proportional to the extension of the material.
F = kx
k = F / x
where;
F is the applied forcex is the extension of the materialk is the spring constantk = ( mg ) / x
where;
m is the mass suspendedg is acceleration due to gravityK = ( 0.02 kg x 9.8 m/s² ) / ( 0.4 m )
K = 0.49 N/m
Learn more about spring constant here: https://brainly.com/question/1968517
SPJ1
The specific heat capacity of a pure substance can be found by dividing the heat needed to change the temperature of a sample of the substance by the mass of the sample and by the change in temperature. The heat capacity of a certain substance has been measured to be. Suppose of the substance are heated until the temperature of the sample has changed by. Write an equation that will let you calculate the heat that was needed for this temperature change. Your equation should contain only symbols. Be sure you define each symbol.
An equation that will let you calculate the last Q that was needed for this temperature change is Q = MCΔT.
The following formula can be used to determine how much heat is required to cause a change in temperature:
Q = MCΔT
Where:
The required heat, Q, is expressed in joules (J).
M is the substance's mass, expressed in grams (g)
C is a substance's specific heat capacity expressed in J/g°C.
T is the change in temperature expressed in degrees celsius (°C).
As a result, we can determine how much heat is required to change the temperature as follows:
Q = MCΔT
Q = 420 x 3.52 x 43.8
Q = 64753.92 J
Thus, 64753.92 J of heat are required to change the temperature.
Your question is incomplete but most pprobably your full question was
The specific heat capacity of a pure substance can be found by dividing the heat needed to change the temperature of a sample of the substance by the mass of the sample and by the change in temperature. The specific heat capacity of a certain substance has been measured to be 3.52 J/g °C. Suppose 420.0 g of the substance is heated until the temperature of the sample has changed by 43.8 °C.
Write an equation that will let you calculate the last Q that was needed for this temperature change. Your equation should contain only symbols. Be sure to define each symbol.
Learn more about specific heat capacity at https://brainly.com/question/29766819
#SPJ4
Ideally, a motorist should try to enter an expressway lane ____________
answer choices
on the exit ramp
at a slower speed than the traffic already on the expressway
at the same speed as the motorists on the expressway
any speed they want
Ideally, motorists should try to enter the toll road c. at the same speed as a motorist on the freeway
Velocity is a vector quantity that measures the speed and direction of an object's change in position. Examples of speed units are km/hour, m/minute, m/second, and so on. There are two concepts of speed, namely the instantaneous speed is the speed of the object at a time and the average speed is the result of transfers at intervals each time.
When on expressway lane motorists should use the same speed as other motorists. The speed of other drivers is in accordance with the rules for the average speed of driving on the highway. This aims to keep the driver focused and to prevent accidents.
Learn more about velocity at:
https://brainly.com/question/19979064
#SPJ4
A box is being dragged across the floor at a constant speed by a rope pulling horizontally on it. Friction is not negligible.
A box is being dragged across the floor at a constant speed by a rope pulling horizontally on it. friction is not negligible. Weight (W), the normal force( N), and the tension force( T )in the string will all be forces operating on the box.
How does tension force work?The force transmitted through a rope, string, or wire while opposing forces pull it is referred to as the tension force.
Energy is drawn equally from both ends by the tension force, which is exerted along the entire length of the wire.
A box is being dragged across the floor at a constant speed by a horizontally pulling rope. Friction has a big impact.
As a result, the weight W, normal force N, and tension force T in the string will all be acting on the box.
Your question is incomplete but most probably your full question was
A box is being dragged across the floor at a constant speed by a rope pulling horizontally on it. friction is not negligible. identify all the forces acting on the box.
To learn more about the tension force refer to the link;
brainly.com/question/2287912
#SPJ4
Complete the following sentence. Overhead cables are often slack to allow them to __________ on hot days without breaking.
No fake answers please :,(
Answer:
Overhead cables are often slack to allow to expand on hot days without breaking.
Explanation:
They hang power lines with enough (even it seems tons!) slack to allow conductors to expand and contract due to the variations in ambient temperature and the current flowing through them. If strung tight, they will keep snapping causing the disruption in power flow.
Overhead cables are often slack to allow them to expand on hot days without breaking, as overhead cables, such as electrical power lines or communication cables, are exposed to various environmental conditions, including temperature fluctuations. Here option a is correct.
When temperatures rise, materials, including metals used in cables, tend to expand. This expansion can lead to increased tension and stress within the cable. If a cable is already under high tension and does not have room for expansion, it can potentially lead to structural damage or even breakage. To accommodate the expansion of the cables during hot weather, they are deliberately kept slack or loose. By allowing some slack in the cables, they have the flexibility to expand and contract with changes in temperature. This prevents excessive tension and reduces the risk of the cables becoming overstressed and breaking.
Learn more about overhead cables here.
https://brainly.com/question/33393997
#SPJ2
complete question is below
Complete the following sentence. Overhead cables are often slack to allow them to __________ on hot days without breaking.
a, expand
b, contract
If an object moves in a straight line direction that is northward, the only other direction that it can move is.
Due to its only being able to travel to and fro, if an item goes in a straight line northern, the only additional direction it may move is southward.
What is motion in a straight line?Since linear motion consists of movement in one dimension in a straight line, also called as rectilinear motion, it may be analytically described only using just that spatial dimension.
The two forms of linear motion are non-uniform motion with changing velocity and non-zero acceleration.
Uniform linear motion is defined by a constant speed or no acceleration. A person moving linearly would sprint 100 m on a smooth path.
To know more about straight line motion do visit:
https://brainly.com/question/24728413
#SPJ4