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A vehicle of mass 20kg is moving with a velocity of 4m/s.find the magnitude of the force that is to be applied on the vehicle so that the vehicle have a velocity have 1m/s after traveling a distance of 20m?
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A vehicle of mass 20kg is moving with a velocity of 4m/s.find the magn...
Problem:
A vehicle of mass 20 kg is moving with a velocity of 4 m/s. Find the magnitude of the force that needs to be applied on the vehicle so that the vehicle has a velocity of 1 m/s after traveling a distance of 20 m?
Solution:
To find the magnitude of the force required, we can make use of Newton's second law of motion which states that the force acting on an object is equal to the product of its mass and acceleration. In this case, the acceleration is given by the change in velocity divided by the time taken.
Step 1: Calculate the acceleration:
Given:
Initial velocity, u = 4 m/s
Final velocity, v = 1 m/s
Distance traveled, s = 20 m
We can use the formula:
v^2 = u^2 + 2as
Rearranging the equation to solve for acceleration (a):
a = (v^2 - u^2) / (2s)
Substituting the given values:
a = (1^2 - 4^2) / (2 * 20)
a = (-15) / 40
a = -0.375 m/s^2
Step 2: Calculate the force:
Using Newton's second law of motion:
F = ma
Substituting the values:
F = 20 kg * (-0.375 m/s^2)
F = -7.5 N
The magnitude of the force required to achieve the desired change in velocity is 7.5 N. The negative sign indicates that the force is in the opposite direction to the initial velocity of the vehicle.
Conclusion:
To achieve a change in velocity from 4 m/s to 1 m/s over a distance of 20 m, a force of magnitude 7.5 N needs to be applied on the vehicle.
A vehicle of mass 20 kg is moving with a velocity of 4 m/s. Find the magnitude of the force that needs to be applied on the vehicle so that the vehicle has a velocity of 1 m/s after traveling a distance of 20 m?
Solution:
To find the magnitude of the force required, we can make use of Newton's second law of motion which states that the force acting on an object is equal to the product of its mass and acceleration. In this case, the acceleration is given by the change in velocity divided by the time taken.
Step 1: Calculate the acceleration:
Given:
Initial velocity, u = 4 m/s
Final velocity, v = 1 m/s
Distance traveled, s = 20 m
We can use the formula:
v^2 = u^2 + 2as
Rearranging the equation to solve for acceleration (a):
a = (v^2 - u^2) / (2s)
Substituting the given values:
a = (1^2 - 4^2) / (2 * 20)
a = (-15) / 40
a = -0.375 m/s^2
Step 2: Calculate the force:
Using Newton's second law of motion:
F = ma
Substituting the values:
F = 20 kg * (-0.375 m/s^2)
F = -7.5 N
The magnitude of the force required to achieve the desired change in velocity is 7.5 N. The negative sign indicates that the force is in the opposite direction to the initial velocity of the vehicle.
Conclusion:
To achieve a change in velocity from 4 m/s to 1 m/s over a distance of 20 m, a force of magnitude 7.5 N needs to be applied on the vehicle.
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A vehicle of mass 20kg is moving with a velocity of 4m/s.find the magn...
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A vehicle of mass 20kg is moving with a velocity of 4m/s.find the magnitude of the force that is to be applied on the vehicle so that the vehicle have a velocity have 1m/s after traveling a distance of 20m? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A vehicle of mass 20kg is moving with a velocity of 4m/s.find the magnitude of the force that is to be applied on the vehicle so that the vehicle have a velocity have 1m/s after traveling a distance of 20m? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vehicle of mass 20kg is moving with a velocity of 4m/s.find the magnitude of the force that is to be applied on the vehicle so that the vehicle have a velocity have 1m/s after traveling a distance of 20m?.
A vehicle of mass 20kg is moving with a velocity of 4m/s.find the magnitude of the force that is to be applied on the vehicle so that the vehicle have a velocity have 1m/s after traveling a distance of 20m? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A vehicle of mass 20kg is moving with a velocity of 4m/s.find the magnitude of the force that is to be applied on the vehicle so that the vehicle have a velocity have 1m/s after traveling a distance of 20m? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vehicle of mass 20kg is moving with a velocity of 4m/s.find the magnitude of the force that is to be applied on the vehicle so that the vehicle have a velocity have 1m/s after traveling a distance of 20m?.
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