A man weighing 80kg climbs a staircase carrying a 20/kg load. The staircase has 40 steps, each of 25cm height. If he takes 20seconds to climb, the work done is (Take g=10m/s2):
9800J
490J
7840J
98×105J
A
7840J
B
9800J
C
490J
D
98×105J
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Solution
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Gravity is a conservative force so W.D is independent of path followed
m is total mass ( load plus man ). h is the total height. Work done: W=mgh=100×9.8×(40×.25)=9800J
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