a man raises 100kg from the floor to height of 2m in 2.5s what is the work done and the power developed
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Answered by
10
Answer:
Solution,
Here,
Mass (m) = 100 kg
Height (h) = 2
Time taken (t) = 2.5 s, Acceleration due to gravity (g) = 10 m / s².
Work (W) = mgh = 100 * 2 * 10 = 2000 J
Power (P) = W / t
Explanation: Find the value of P and get your answer.
Answered by
5
Given: mass - m = 100kg
height - h = 2m
time - t = 2.5s
To Find: work done - W =?
power - P =?
Solution:
Formula used:
- Work done(W) = Force(F) × displacement (h)
- Force(F) = mass(m) × acceleration(g) {g = 9.8 m/s² as mass is lifted}
- Power (P) = W/time(t)
Calculating work done
F = m × g
F = 100kg × 9.8m/s²
F = 980 N
W = F × h
W = 980 × 2
W = 1960 J
Calculating Power using the above formula:
P = W/t
P = 1960/2.5
P = 784W
Hence, the work done and Power developed are 1960J and 784W respectively.
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