Please show work. Answer is only one of the multi choices given no other. Cuthbe

Question

Please show work. Answer is only one of the multi choices given no other.

Cuthbert pushes a 38.0-lb lawnmower at a constant velocity over a level surface. The frictional force on the mower is 19.0 lb. What force must Cuthbert exert on the handle, which makes an angle with the ground of 30.0degree, and what is the normal force by the ground on the lawnmover? This is an equilibrium problem since the velocity is constant both horizontally and vertically. Fp = 23.2 lb. F_N = 48.4 lb Fp = 20.1 lb. F_N = 49.9 lb Fp = 22.4 lb. F_N = 48.5 lb Fp = 21.9 lb. F_N = 49.0 lb This situation is not possible. A hole would be ripped in the universe if it occurred.

Explanation / Answer

Le the Force exerted by cCuthbert is Fp. now horizontal componet of the force balances the friction so that the lawnmower can move uniformly.

So Fp cos 30o = 19, hence Fp= 21.9lb

the normal reaction = mg + Fpsin 30o = 38 + 21.9*sin 30o = 49lb

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