A man pulls himself up the `30^(@)` incline by the method shown in fig. if the combined mass of the man and cart is 100kg, determine the acceleration of the cart if the man exerts a pull of 250N on the rope. Neglect all friction and the mass of rope , pulleys and wheels.

Options

A. `4.5 ms^(-2)`
B. `2.5 ms^(-2)`
C. `3.5 ms^(-2)`
D. `1.5 ms^(-2)`

Answer

B

Explanation

`a=(3T-mg sin theta)/(m)`
`=(3 xx 250 -100 xx 10 xx sin 30^(@))/(100) = 2.5 ms^(-2)`.