Question

A ramp 20 m long and 4 m high is used to lift a heavy box. A pulley system with 4 rope sections supporting the load is used to lift an identical box to a height of 4 m. If friction is ignored, the ramp requires a _____ to lift the load.

Answer 1

On the ramp the input force is the component of the weight down the ramp =m*g sinc(e)

But sinc(e)=4/20=1/5 so F =1/5*m*g and the distance pushed is 20m

Now for the pulley the 4 segments are of the same rope

So the weight m*g=4*T

So the input force = 1/4 *m*g and the distance moved is 4*4m=16m