JEE (Mains) - 29 Jan 2024 (Shift - 1)

# Q1 of 54

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)

Options
A.

4500 J

B.

5000 J

C.

4200 J

D.

4000 J

Show Answer
Correct Answer
D 4000 J
Solution

The correct answer is 4000 J.

Step-by-Step Explanation:

1. Identify the given values from the problem statement:
- Mass of the body (man), m=100 kg
- Distance travelled, d=10 m
- Coefficient of friction, μ=0.4
- Acceleration due to gravity, g=10 m/s2

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:
N=mg
Substituting the given values:
N=100 kg10 m/s2=1000 N

3. Calculate the Frictional Force (f):
The force of kinetic friction opposing the motion is given by:
f=μN
Substituting the values:
f=0.41000 N=400 N

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:
W=fd
Substituting the values:
W=400 N10 m=4000 J

Thus, the work done against friction is 4000 J.

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