Q131 / 180 · NEET 2026 (Cancelled) · Physics
The power of a crane, which lifts a mass of $1000$ kg to a height of $20$ m in $10$ s is :
($g = 9.8$ m/s$^2$)
($g = 9.8$ m/s$^2$)
- A$19.6$ W
- B$39.2$ W
- Correct answerC$19.6$ kW
- D$39.2$ kW
Solution
Given $m = 1000$ kg, $h = 20$ m, $t = 10$ s, $g = 9.8$ m/s$^2$.
Work done by the crane is $W = mgh$.
$W = 1000 \times 9.8 \times 20 = 196000$ J.
Power is the rate of doing work, $P = \dfrac{W}{t}$.
$P = \dfrac{196000}{10} = 19600$ W.
$P = 19.6$ kW.
Answer: $19.6$ kW
Work done by the crane is $W = mgh$.
$W = 1000 \times 9.8 \times 20 = 196000$ J.
Power is the rate of doing work, $P = \dfrac{W}{t}$.
$P = \dfrac{196000}{10} = 19600$ W.
$P = 19.6$ kW.
Answer: $19.6$ kW
Hence, the correct answer is option: 'C'.