A man pulls himself up the `15^(@)` incline by the method shown. If the combined mass of the man and car is 100 kg, determine the acceleration of the cart (rounded to the nearest integer) while the mass exerts a pull of 250 N on the rope. Neglect all friction and the mass of the rope, pulleys, and wheels. `tan15^(@)=2-sqrt(3)`

Answer

2

Explanation

`a = g(sin theta_(1)-sintheta_(2))`
The force applied by ground on the car doesn't change if gear is not changed.
at `theta_(1) = 53^(@)`
`f = mgsintheta_(1) " "`(`because`v=constant)
at `theta_(2) = 37^(@)`
`f-mgsintheta_(2)=ma`
`a = g(sintheta_(1)-sintheta_(2))`