Question

please help and show work!

3. (a) For the car going up the incline, what percentage of the work done by the suspended weight was lost to friction? (b) For the car moving down the incline, what percentage of the work done by gravity was lost to friction? (Show your calculations.) Car moving up incline Car moving down incline

Answer 1

let the angle be $\theta$

let the distance travelled be car is = l

mass of car = m

friction coefficient = $\mu$

height travelled =

l sin θ

friction force =

LInq cos θ

so the work done by friction $W_{f}=-\mu mgl\cos \theta$

and work done by gravity

Wg -mgl sin θ

ratio of the two will be

this is when car is going up

W.//Wg ,oot θ

and

this is when car is going down

11 cot θ

exact value we can'nt calculate since $\mu$ not given