A crane lifts a load of 100 kg to a height of 10 meters in 20 seconds. What is the power developed by the crane in Watts? (Take g = 10 m/s squared)

A. 500 W — Power is defined as work done divided by time. Work done against gravity is mgh, so power is mgh divided by t, which is 100 times 10 times 10 divided by 20.

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$A crane lifts a load of m = 100 kg to a height of h = 10 m in t = 20 s . What is the power developed by the crane in Watts? (Take g = 10 m/s^{2})$

A. $500 W$
B. $1000 W$
C. $200 W$
D. $50 W$

Show correct answer & step-by-step solution

Correct answer: A — $500 W$

Solution

Power is defined as P = \frac{W}{t} . Work done against gravity is W = m g h, so P = \frac{m g h}{t} = \frac{100 \times 10 \times 10}{20} = 500 W .

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A crane lifts a load of m=100 kg to a height of h=10 m in t=20 s. What is the power developed by the crane in Watts? (Take g=10 m/s2)

Solution

Attempt this question & track your score

More Work Energy Power practice questions

$A crane lifts a load of m = 100 kg to a height of h = 10 m in t = 20 s . What is the power developed by the crane in Watts? (Take g = 10 m/s^{2})$