Question 1:
A force of 30 N acts on a body and moves it through a distance of 5 m in the direction of
force. Calculate the work done.
Solution:
Given:
Force F = 30 N
Distance d = 5 m
Work done = ?
Formula:
W=F×d
Substitution:
W = 30 N × 5 m
W = 150 N m
We know:
1Nm=1J
Final Answer:
W = 150 J
Question: 2
A man lifts a mass of 20 kg to a height of 2.5 m. Assuming that the force of gravity on 1
kg mass is 10 N, find the work done by the man.
Solution :
Given:
Mass m = 20 kg
Height h = 2.5 m
Force on 1 kg = 10 N
Work done = ?
Step 1: Find Force
Force on 1 kg = 10 N
, Force on 20 kg = 20 × 10 N
Force F = 200 N
Step 2: Formula
W=F×d
Step 3: Substitution
W = 200 N × 2.5 m
W = 500 N m
We know:
1Nm=1J
Final Answer:
W = 500 J
Question: 3
A body when acted upon by a force of 10 kgf moves through a distance of 0.5 m in the
direction of force. Find the work done by the force. Take 1 kgf = 10 N.
Solution:
Given:
Force = 10 kgf
Distance d = 0.5 m
1 kgf = 10 N
Work done = ?
Step 1: Convert Force into Newton
1 kgf = 10 N
10 kgf = 10 × 10 N
Force F = 100 N
Step 2: Formula
W=F×d
Step 3: Substitution
W = 100 N × 0.5 m
W = 50 N m