A body of man 100 kg travelled 10 m before coming to rest. If μ = 0.4, work done against friction is (motion is happening on horizontal surface, take g = 10 m/s2)
4500 J
5000 J
4200 J
4000 J
The correct answer is 4000 J.
Step-by-Step Explanation:
1. Identify the given values from the problem statement:
- Mass of the body (man),
- Distance travelled,
- Coefficient of friction,
- Acceleration due to gravity,
2. Calculate the Normal Force (N):
Since the motion is happening on a flat horizontal surface, the normal force acting on the body balances its weight:
Substituting the given values:
3. Calculate the Frictional Force (f):
The force of kinetic friction opposing the motion is given by:
Substituting the values:
4. Calculate the Work Done Against Friction (W):
The work done against friction is the force of friction multiplied by the distance travelled in the direction opposing it:
Substituting the values:
Thus, the work done against friction is 4000 J.
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