Calculate the change in gravitational potential energy of a 50 kg mountain climb

Question

Calculate the change in gravitational potential energy of a 50 kg mountain climber after moving 30 m up a vertical slope. If the muscles in the body can convert chemical energy into gravitational potential energy with an efficiency of no more than 5%, calculate the least muscle chemical energy used to climp the slope.

Explanation / Answer

=>change in gravitational potential energy = mgh = 50*9.8*30 = 14700 Joules = 14.7 KJ Given Max. efficiency = 5% => 14700 / X = 5/100 => X = 294000 Joules = 294 KJ => least muscle chemical energy = 294 KJ

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