Question

Ms. Sue could you please explain this to me. Imagine you need to deliver a piano over three steps. A longer ramp translates into less force necessary to raise the piano's height than a shorter ramp would require. Calculate the percentage smaller a force would be required using an 2.8m long ramp compared to a 0.9m ramp?

Answer 1

Work=F*d

So,

Work=F1*2.8m

Work=F2*0.9m

F2*2.8m=F1*0.9m

F2/F1=0.9m/2.8m

(0.9m/2.8m)*100=32.4%

F2 is 32.4% of F1

Answer 2

The first post probably wasn't that clear

F1=force of 2.8m ramp

F2=force of 0.9m ramp

Work=F*d

So,

Work=F1*2.8m

Work=F2*0.9m

F1*2.8m=F2*0.9m

F1/F2=0.9m/2.8m

(0.9m/2.8m)*100=32.4%

F1is 32.4% of F2