Question

What average mechanical power (in W) must a 64.5 kg mountain climber generate to climb to the summit of a hill of height 285 m in 49.0 min? Note: Due to inefficiencies in converting chemical energy to mechanical energy, the amount calculated here is only a fraction of the power that must be produced by the climber's body.

Answer 1

Answer:61.275 W

Step-by-step explanation:

Given

Mass of climber
`m=64.5 kg`

Height to climb
`h=285 m`

Time taken
`t=49 min \approx 2940 s`

Now Using Work-energy Theorem work done is given by

`W=m g h`

`W=64.5* 9.8 * 285`

`W=180148.5 J`

`W=180.148 kJ`

Now Average Mechanical Power is given by

`P=(W)/(\Delta t)`

`P=(180.148)/(2940)=0.0612 kW`

`P=61.275 W`