A 4 kg bundle starts up a 30o incline with 128 J of kinetic energy. How far will it slide up the incline if the coefficient of friction between bundle and incline is 0.30?

Pls help me solve this, I don't know what formula to use...

1 answer

M*g = 4kg * 9.8 N./kg = 39.2 N. = Wt. of
the bundle.

KE = M*Vo^2/2 = 128 J.
4*Vo^2/2 = 128
Vo^2 = 64
Vo = 8 m/s = Initial velocity.

a = u*g = 0.3 * (-9.8) = -2.94 m/s^2.

V^2 = Vo^2 + 2a*d = 0 @ max ht.
Vo^2 + 2a*d = 0. Solve for d.