Published by:
CGP EDU Academic Team
Published on: September 12, 2026
A labourer lifts 100 stones to a height of 6 meter in two minutes. If mass of each stone be one kilogram, calculate the average power. Given: g = 10 m s –2 .
Text Solution
Verified by ExpertsThe correct answer is:
B
Step 1: Calculate the total work done. The work done (W) to lift one stone to a height (h) is given by the formula:
W = mgh
Where:
m = mass of one stone = 1 kg
g = acceleration due to gravity = 10 m/s²
h = height = 6 m
Thus, the work done for one stone:
W = 1 kg × 10 m/s² × 6 m = 60 Joules.
Step 2: Since there are 100 stones, the total work done (W_total) is:
W_total = 100 stones × 60 Joules/stone = 6000 Joules.
Step 3: Calculate the time taken in seconds. Since the labourer took 2 minutes, we convert this to seconds:
Time = 2 minutes × 60 seconds/minute = 120 seconds.
Step 4: Calculate the average power (P) using the formula:
P = \frac{W_{total}}{t}
Thus, P = \frac{6000 Joules}{120 seconds} = 50 Watts.
Therefore, the average power is 50 Watts.
W = mgh
Where:
m = mass of one stone = 1 kg
g = acceleration due to gravity = 10 m/s²
h = height = 6 m
Thus, the work done for one stone:
W = 1 kg × 10 m/s² × 6 m = 60 Joules.
Step 2: Since there are 100 stones, the total work done (W_total) is:
W_total = 100 stones × 60 Joules/stone = 6000 Joules.
Step 3: Calculate the time taken in seconds. Since the labourer took 2 minutes, we convert this to seconds:
Time = 2 minutes × 60 seconds/minute = 120 seconds.
Step 4: Calculate the average power (P) using the formula:
P = \frac{W_{total}}{t}
Thus, P = \frac{6000 Joules}{120 seconds} = 50 Watts.
Therefore, the average power is 50 Watts.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A body of mass m accelerates uniformly from rest to in time . As a function of time t, the instan…
A man is riding on a cycle with velocity 7.2 km/hr up a hill having a slope 1 in 20. The total mass…
A 12 HP motor has to be operated 8 hours/day. How much will it cost at the rate of 50 paisa/kWh in …
A motor boat is travelling with a speed of 3.0 m/sec. If the force on it due to water flow is 500 N…
An electric motor exerts a force of 40 N on a cable and pulls it by a distance of 30 m in one minut…
An electric motor creates a tension of 4500 newton in a hoisting cable and reels it in at the rate …