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A body is moving with uniform velocity of 2 m/s on a rough level surface. The frictional force on it is 10 N. If the body moves with velocity 4 m/s, the force of friction will be
- a)2.5 N
- b)5 N
- c)10 N
- d)20 N
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A body is moving with uniform velocity of 2 m/s on a rough level surfa...
Kinetic friction is constant, hence frictional force will remain same (= 10 N).
Most Upvoted Answer
A body is moving with uniform velocity of 2 m/s on a rough level surfa...
Frictional Force on a Body Moving with Uniform Velocity
- When a body is moving with a uniform velocity on a rough level surface, the frictional force acting on it is equal to the product of the coefficient of friction (μ) and the normal force (N).
Frictional Force = μN
- In this case, the velocity of the body is given as 2 m/s and the frictional force is given as 10 N. We need to find the frictional force when the velocity of the body is 4 m/s.
Using the formula for frictional force, we have:
10 N = μN (equation 1)
- Now, let's consider the situation when the body moves with a velocity of 4 m/s. Since the velocity has increased, the frictional force will also increase.
- The normal force acting on the body remains the same, as the body is still on the same rough level surface. Therefore, the normal force can be considered constant.
- Let's assume the new frictional force is F (to be determined).
Using the formula for frictional force, we have:
F = μN (equation 2)
- We can compare equations 1 and 2 to find the relationship between the frictional force and the velocity of the body.
Since the normal force is constant, we can cancel it out from both equations:
10 N = μN
F = μN
- Now, let's compare the velocities:
2 m/s ≠ 4 m/s
- From this comparison, we can conclude that the frictional force is not directly proportional to the velocity of the body.
- Therefore, we cannot directly use the given frictional force of 10 N to find the frictional force when the velocity is 4 m/s.
- Hence, without any additional information or assumptions about the coefficient of friction, we cannot determine the exact value of the frictional force when the velocity of the body is 4 m/s.
- Therefore, the correct answer cannot be determined and none of the given options (a, b, c, d) are correct.
- When a body is moving with a uniform velocity on a rough level surface, the frictional force acting on it is equal to the product of the coefficient of friction (μ) and the normal force (N).
Frictional Force = μN
- In this case, the velocity of the body is given as 2 m/s and the frictional force is given as 10 N. We need to find the frictional force when the velocity of the body is 4 m/s.
Using the formula for frictional force, we have:
10 N = μN (equation 1)
- Now, let's consider the situation when the body moves with a velocity of 4 m/s. Since the velocity has increased, the frictional force will also increase.
- The normal force acting on the body remains the same, as the body is still on the same rough level surface. Therefore, the normal force can be considered constant.
- Let's assume the new frictional force is F (to be determined).
Using the formula for frictional force, we have:
F = μN (equation 2)
- We can compare equations 1 and 2 to find the relationship between the frictional force and the velocity of the body.
Since the normal force is constant, we can cancel it out from both equations:
10 N = μN
F = μN
- Now, let's compare the velocities:
2 m/s ≠ 4 m/s
- From this comparison, we can conclude that the frictional force is not directly proportional to the velocity of the body.
- Therefore, we cannot directly use the given frictional force of 10 N to find the frictional force when the velocity is 4 m/s.
- Hence, without any additional information or assumptions about the coefficient of friction, we cannot determine the exact value of the frictional force when the velocity of the body is 4 m/s.
- Therefore, the correct answer cannot be determined and none of the given options (a, b, c, d) are correct.
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