Question

A skier of mass 72 kg is pulled up a slope by a motor-driven cable. a. how much work is required to pull him 75 m up a 30 degree slope (assumed frictionless) at a constant speed of 3.4 m/s

Answer 1

Answer:
`26.460* 10^3\ J`

Step-by-step explanation:

Given the mass of skier m=72 kg

distance traveled d=75 m

constant speed v=3.4 m/s

If speed is constant then there must no force acting in the direction of motion

i.e. tension force must be equal to the component of weight

`T=mg\sin 30^(\circ)`

Work done is given by

`\Rightarrow W=F\cdot d=Td\cos 0^(\circ)\\\Rightarrow W=mg\sin 30^(\circ) d=72* 9.8* 0.5* 75\\\Rightarrow W=26.460* 10^3\ J`