Important Formulas:
[tex]w=Fd[/tex]
work(measured in joules) = force(measured in newtons) * distance(measured in meters)
__________________________________________________________
Given:
[tex]m=42kg[/tex]
[tex]F=225N[/tex]
[tex]d=12m[/tex]
[tex]w=Fd[/tex]
__________________________________________________________
Finding work:
[tex]w=Fd[/tex]
[tex]w=225\times12[/tex]
__________________________________________________________
[tex]\fbox{w = 2700 Joules}[/tex]
A box is dropped out of a moving airplane. The airplane is traveling at 50m/s East. The box is dropped from rest with respect to the airplane. The box travels a vertical distance of 40 m before landing on a trampoline. The airplane continues traveling at a constant speed after the box is dropped and the wind resistance on the falling box is negligible
The horizontal distance travelled by the box is 143 m.
What is the horizontal distance travelled by the box?
The horizontal distance travelled by the box is calculated by determining the time of motion of the box and the horizontal velocity of the airplane.
The time of motion of the box from the vertical height in which it was dropped is calculated as follows;
h = vt + ¹/₂gt²
where;
v is the initial vertical velocity of the box = 0t is the time of motion of the boxg is acceleration due to gravityh is the height of fall of the boxh = 0 + ¹/₂gt²
t = √ ( 2h / g )
t = √ ( 2 x 40 / 9.8 )
t = 2.86 seconds
The horizontal distance travelled by the box is calculated as follows;
d = Vₓ t
where
Vₓ is the horizontal velocity of the airplanet is the time of motiond = ( 50 m/s ) x ( 2.86 s )
d = 143 m
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The complete question is below;
A box is dropped out of a moving airplane. The airplane is traveling at 50m/s East. The box is dropped from rest with respect to the airplane. The box travels a vertical distance of 40 m before landing on a trampoline. The airplane continues traveling at a constant speed after the box is dropped and the wind resistance on the falling box is negligible. Find the horizontal distance travelled by the box.
Mention four factors on which the amount of precipitation intercepted by vegetal cover depend on
Precipitation amount, storm frequency, and severity, storm duration, kind of precipitation, wind during storm, and wind during evaporation are the main precipitation and storm elements that influence interruption loss (Kenneth, 1996).
What does it signify when vegetation blocks precipitation?All procedures that stop rainfall from instantly reaching the soil are referred to as interceptions. The two main ways that vegetation intercepts water are by catching it on leaf surfaces throughout the canopy and by depositing litter on the ground.
Intercepted precipitation: What is it?Precipitation that is intercepted by leaves, plant branches, and the forest floor prevents it from reaching the soil and instead stays on the surface.
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How does the horizontal velocity of a projectile affect the velocity at which it falls?
A. faster horizontal objects fall slower
B. slower horizontal objects fall slower
C. No horizontal motion means the object will not fall
D. Horizontal motion does not have an effect on how an object will fall
How much potential energy does a log have if it weighs 112.7 N and is 3.400 m above the ground
Answer:
total potential energy is 383.18.
Explanation:
It is because that when we hold something at the influence of gravity than work is done . Similarly we know that
Potential Energy is Equal to the product of m g and h.Here weight gives the product of mass and acceleration due to gravity.so
PE = mgh
= 112.7×3.4
=383.18 joule
Unit of energy is joule
What is the average time for the toy car to move 1.0 m on cement?
Answer:
24.4
Explanation:
you would add all the numbers , 25.5+24.4+24.2= 73.1/3=24.36 and you round up you get 24.4
3. Which of the forms of electromagnetic radiation listed below has the greatest energy?
Ogamma rays
O infrared
O ultraviolet
radio waves
Answer:
Choice A. gamma rays
Explanation:
when a resistor is connected to a battery, current flows through the resistor. If the voltage of the battery is doubled, the current will be?
Resistors limits the current/amps but keep the voltage the same.
What happens if you connect the resistor to the battery?You don't want to attach them together with a wire since there would be too much current loose through, such that the battery heats up till it blows or something.
Current is directly corresponding to voltage; a doubling of the voltage will double the current. But the current is also inversely comparable to the resistance; a doubling of the resistance will halve the current.
So we can conclude that Resistance residue is the same, but power becomes four times i.e. multiplication. If the current is I and the voltage is V,
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In a particular crash test, an automobile of mass 1759 kg collides with a wall and bounces back off the wall. The x components of the initial and final speeds of the automobile are 12 m/s and 2.2 m/s, respectively. If the collision lasts for 0.11 s, find the magnitude of the impulse due to the collision. Answer in units of kg · m/s. Calculate the magnitude of the average force exerted on the automobile during the collision. Answer in units of N.
Based on the data provided about the collision;
the magnitude of the impulse due to the collision is 21105.8 kg.m/sthe magnitude of the average force exerted on the automobile during the collision is 191870.91 NWhat is the magnitude of the impulse due to the collision of the vehicle with the wall?The magnitude of the impulse due to the collision of the vehicle with the wall is calculated using the formula of the impulse on an object given below as follows:
Impulse = change in momentum
Change in momentum = m(v - u)
where;
m is mass
v is the final velocity
u is the initial velocity
Impulse = 1759 (12 - 22)
Impulse = 21105.8 kg.m/s
The average force on the automobile will be:
Force = impulse/time
Force = 21105.8 / 0.11
Force = 191870.91 N
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A thin rod has a length of 0.609m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.606rad/s and a moment of inertia of 1.05 x 10^-3 kg•m^2. A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10^-3 kg) gets where it’s going, what is the change in the angular velocity of the rod?
Answer:
-0.0069 rad/s
Explanation:
The change in angular velocity of the rod can be determined by using the conservation of angular momentum equation: Lf = Li.
The initial angular momentum of the rod is Li = Iwo and the final angular momentum of the rod is Lf = Iwf.
Plugging in the given values, we get:
(1.05 x 10^-3 kg•m^2)(0.606 rad/s) + (5 x 10^-3 kg)(0.609 m)^2(wf) = (1.05 x 10^-3 kg•m^2)(wo).
Solving for wf, we get wf = -0.0069 rad/s.
Therefore, the change in angular velocity of the rod is -0.0069 rad/s.
Until 1979, the world's easiest driving test was administered in Egypt. To pass the test, one needed only to drive about 6 m forward, stop, and drive the same distance in reverse. Suppose that at the end of the 6 m the car's brakes are suddenly applied and the car slides to a stop. If the force required to stop the car is 6.0 X 10^3 N and the coefficient of kinetic friction between the tires and pavement is 0.77, what is the magnitude of the car's normal force? What's the car's mass?
(a) The magnitude of the car's normal force is 7,792.2 N.
(b) The mass of the car is 795.1 kg.
What is the weight of the car?
The weight of the car is calculated by applying Newton's second law of motion as shown below.
Mathematically, the formula for Newton's second law of motion is given as;
Ff = μW
where;
W is the weight of the carμ is the coefficient of kinetic friction between the tires and pavementThe weight of the car is calculated as follows;
W = Ff / μ
W = ( 6,000 N ) / ( 0.77 )
W = 7,792.2 N
Based on Newton's third law of motion, the weight of the car acting downwards is equal to normal force on the car, acting upward.
The mass of the car is calculated as follows;
W = mg
where;
m is the mass of the carg is acceleration due to gravitym = W / g
m = ( 7792.2 ) / (9.8)
m = 795.1 kg
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In the figure below, what is the maximum speed of a 2.0 g particle that oscillates between x = 2.0 mm and x = 8.0 mm?
In the figure below, the maximum speed of a 2.0 g particle that oscillates between x = 2.0 mm and x = 8.0 mm is 63 m/s.
What is oscillation?Periodic or oscillatory motion is defined as a motion that repeats itself. Due to a restoring force or torque, an object in such motion oscillates around an equilibrium position.
Energy is conserved in oscillation.
So, the maximum loss in Potential Energy = Maximum gain in Kinetic energy
5 J - 1 J = Maximum gain in Kinetic energy
Maximum gain in Kinetic energy = 4 J
[tex]0.5 \times m \times vmax^2 = 4\\0.5 \times 2.0 \times 10^-3\; Kg \times vmax^2 = 4 J\\vmax^2 = 4 \times 10^3 m^2/s^2\\vmax = 63.2 m/s[/tex]
Therefore, the maximum speed of a 2.0 g particle that oscillates between x = 2.0 mm and x = 8.0 mm is 63 m/s.
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A force of 20 Newtons moves a box 2.0 meters and does 40 N*m of work. How many Joules is this?
1 N*m = 1 Joule
40 N*m = 40 joules
What is meant by half life ?
Why was Silent Spring so influential at the time?
The book provided inspiration to those suffering from pesticide exposure.
It was the first book to bring awareness to global warming issues.
It was the first book that discussed the benefits of the Endangered Species Act.
It was the first time that the public was being made aware of the long-term impacts of pollution.
The reason that Silent Spring was so influential at the time is option D: It was the first time that the public was being made aware of the long-term impacts of pollution.
What is the book about?Silent Spring, a book written by Rachel Carson and published in 1962, was influential at the time because it was the first book to bring awareness to the negative impacts of pesticides on the environment and human health.
Therefore, The book provided evidence and detailed accounts of the harmful effects of pesticides on wildlife and ecosystems, and it argued that the widespread use of pesticides was unsustainable and could have long-term consequences for the environment and human health.
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Write 3 – 4 sentences evaluating the use of nuclear fission to generate electric energy. Provide at least one point in favor of and two points against using fission.
Answer:
One point in favor of using nuclear fission to generate electric energy is that it is a relatively low-carbon option, producing fewer greenhouse gas emissions than fossil fuels. However, there are several points against using fission as an energy source. One is that it produces radioactive waste that can be difficult and costly to dispose of safely. Another is that there is the risk of accidents or leaks, which can have serious consequences for both people and the environment. Additionally, the construction of nuclear power plants is expensive and time-consuming, and the plants themselves have a limited lifespan.
The Earth wire only carries a current if there is a _____ in the
circuit. What one word completes the sentence?
Answer:
Fault
Explanation:
it only carries a current if there is a fault.
1. Compare and contrast sensation and perception.
2. Describe an example of sensory adaptation that you have experienced.
3. Why would it be difficult to play a sport such as baseball or basketball without the ability
to perceive depth?
4. Do you think that subliminal messages should be banned from advertising? Why or why
not?
5. What is your opinion about extrasensory perception? Do you think it exists? Explain your
answer.
Figure 1) is a snapshot graph at t = 0 s of two waves on a string approaching each other at 1 m/s.
1. List the values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s.
To solve this we must be knowing each and every concept related to interval. Therefore, values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s can be listed as below.
What is interval?An interval is any set of numbers that fall between two distinct integers. This range includes all real values that fall between those two. All real numbers that lie in any 2 of a set's numbers are collectively referred to as an interval within mathematics.
For instance, the set of integers x fulfilling 0 x 1 is the interval consisting of 0, 1, and all numbers in between. a snapshot graph of wave on a string moving toward one another at 1 m/s at time t = 0 s.
At time t = 0,Y₀= 0 cm
At At time t =1, Y₁= 0 cm
At time t = 2, Y₂= 0 cm
At time t =3, Y₃= 0 cm
At time t =4, Y₄= 0 cm
At time t = 5 ,Y₅=0 cm
At time t = 6, Y₆= 0 cm
Therefore, values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s can be listed as above.
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Kind of energy a piece of radioactive metal contains
Answer:
Radioactive materials give off a form of energy called ionizing radiation.
A solenoid is connected to a battery as shown in the figure, and a bar magnet is placed nearby. What is the direction of the magnetic force that this solenoid exerts on the bar magnet? (Hint: Think of the solenoid as a bar magnet, and identify what would be its north and south poles.)
According to the right-hand rule, the magnetic field of the solenoid will be directed towards the left direction.
What is Right-hand rule?Right Hand Thumb Rule is the rule which is used If a current carrying conductor is imagined to be held in the right hand direction such that the thumb always points along the direction of the current flow, then the direction of the wrapped fingers in the hand will give the direction of the magnetic field lines of the bar magnet.
By the application of the right-hand rule, the magnetic field of the solenoid will be directed towards the left hand direction.
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Which of the following does NOT take place at the mission control center?
Doing contracting work for government agencies of private businesses
International Space Center
Sending signals to the space craft
Planning the details of the mission
Doing contracting work for government agencies of private businesses
The mission control center is a facility that is responsible for controlling and coordinating the operations of a spacecraft during a mission. It is typically run by NASA or another space agency and is used to monitor and communicate with spacecraft, as well as to plan and execute mission objectives. The mission control center is not typically involved in contracting work for government agencies or private businesses.
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How do you add sound waves?
The addition of two sound waves produces a new wave of higher amplitude if their compressions and refractions line up. It is also known as constructive interference.
What is interference?Interference can be described as a phenomenon in which two waves combine by adding at every single point in space and time, to form a resultant wave of greater or lower amplitude.
Constructive and destructive interference occurs in the interaction of waves that are correlated with each other because they come from the same source.
When two sound waves propagate in the same direction in phase with each other, their amplitude gets added, and the resultant wave is produced from constructive interference.
When two waves interfere with each other and have a displacement in the opposite direction. When a crest of a wave meets the trough of another wave, the waves undergo destructive interference.
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What is electronic dispersion theory?
Dispersion in wave theory is the phenomena where a wave's phase velocity changes depending on its frequency. The article can explore different definitions. This is the typical definition for dispersion (waves).
When sinusoidal waves with various wavelengths propagate at various speeds, a wave packet with mixed wavelengths has a tendency to disperse in space. Dispersion in wave theory is the phenomena where a wave's phase velocity changes depending on its frequency.
The article can explore different definitions. This is the typical definition for dispersion (waves).
A full set of approximate solutions to the one-electron Schrödinger equation are found in a three-dimensional atomic lattice that is randomly filled with atoms of different kinds and has, on average, the periodicity of a Bloch wave.
Equations are provided that enable the calculation of each wave's energy, average behavior, absent a phase factor, close to any sort of atom, and damping parameter.
A comparison is made between a periodic lattice with a complicated, energy-dependent potential and a random A-B lattice. The dispersion relation of the system is obtained by solving the eigenvalue problem in this potential using any of the established techniques for periodic potentials.
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if a referee tosses a basketball in the air and hits the floor, at what point will the ball have no mechanical kinetic energy (hint: this occurs at more than one point)
the ball have no mechanical kinetic energy:
Just before the ball is set in motion in the air. Just after it hits the floor.What is mechanical kinetic energy?This refers to the energy that an object possessed due to its motion or due to its position. It is calculated by getting the product of the mass of the object and its velocity and dividing it by two. It is measured in joules, J.
if a referee tosses a basketball in the air, the ball will not have mechanical kinetic energy:
Just before the ball is set in motion in the air. ( Potential energy that is energy due to an object's position).Just after it hits the floor. ( Potential energy that is energy due to an object's position).Learn more about kinetic energy on
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5. If a jump rope is shaken fast enough to produce a wave with a wavelength of 0.5 m and
the crest of the wave passes a specific point 6 times per second, what is the velocity of the
wave?
Answer:
After solving the equation the wave is traveling at a velocity of 3 m/s.
What is velocity?Velocity is a vector quantity that describes the rate at which an object changes its position. It is a measure of both the speed and the direction of an object. Velocity is typically expressed in terms of meters per second (m/s). When an object is in uniform motion, its velocity is constant, meaning that it is not changing in magnitude or direction. If an object is accelerating, its velocity is changing over time, either in magnitude, direction, or both.
The velocity of the wave can be calculated using the following equation:
Velocity = Wavelength x Frequency
In this case, the wavelength is 0.5 m and the frequency is 6 Hz (6 cycles per second). So, the velocity of the wave is:
Velocity = 0.5 m x 6 Hz = 3 m/s
This means that the wave is traveling at a velocity of 3 m/s.
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1) Calculate the time required for a 6,000.-newton
net force to stop a 1,200.-kilogram
traveling at 10. meters per second. Show all
work, including the equation and substitution
with units.
PLEASE HELP!!
I need equation, substitution with units and final answer +explanation. TYSM
According to the given statement The time required is 2 seconds.
What is Force ?An unseen factor is an agent that has the power to alter the resting or moving condition of a body. It has a direction or a magnitude. The stress applied is the location at which force is applied, and the direction where the force applied is known also as direction of the force.
The vector composition of mass (m), acceleration, and the amount of force is used to express force (a). Mathematically, the equation or equation for force may be written as follows:
Force = mass x acceleration.
We know the force and the mass, so we can write:
6,000 N
= (1,200 kg) x (acceleration).
i.e. Acceleration = 6000N/1200kg = 5 m/s² .
That's the acceleration. The speed changes by 5 m/s each second
that the force acts on it. If the force pushes from behind, then it goes
5 m/s per second faster. It moves 5 m/s slower each second if the force is pushing from the front.
We wish to slow it down from its current speed of 10 m/s to 0 m/s. Therefore, the force must push from the front, and the task will be finished in (10/5) = 2 seconds.
So, time required is 2 seconds.
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How does heat transfer?
The linear impulse delivered by the hit of a boxer is 194 N · s during the 0.416 s of contact. What is the magnitude of the average force exerted on the glove by the other boxer? Answer in units of N.
The magnitude of the average force exerted on the glove by the other boxer is 466.3 N.
What is the relationship between force and impulse?The force that acts on a body is defined as an agent that causes a change in the position or the state of an object.
Force can be defined as a push or pull agent.
The impulse that acts on a body is the product of the force that acts on that body and the time in which it acts.
Hence, the relationship between force and impulse is given below:
Force = Impulse/time
The force exerted on the glove by the other boxer is calculated using the formula above as follows:
Force = 194 / 0.416
Force = 466.3 N
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Why the specific heat of water changed as the water state changed?
Answer:
Infinity. Yes, specific value of water during phase change is infinity. This is because, as long as water is present and it is changing phase (at boiling point or at any other constant temperature), the temperature of the water does not change no matter what amount of heat you are supplying to the water. Thus, its specific heat value is infinity.
A car accelerates from the rest at 1.5 m/s^2 for 10 sec. What made the car move?
Accelerating linearly is simple.
What is Acceleration?When the velocity vector length of an object moving in a straight line changes in response to changes in the object's speed (speed being the magnitude of the velocity vector), we have acceleration. Increasing speed is frequently referred to as "positive acceleration" and decreasing speed as "negative acceleration."
A particle's acceleration is the rate at which its velocity changes over time. The term "constant acceleration" refers to the pace at which a particle's velocity changes.
We shall measure acceleration in metres per second per second because our basic units are metres and seconds.
Therefore, Accelerating linearly is simple.
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