An 8 kg block is shot up an incline of 300with an initial speed of 2.8 m/s.  How far up the incline will the block travel if the coefficient of friction between it and the incline is 0.18? Hint:  Express the height above the ground that the block is above the incline in terms of the distance up the incline (hypotenuse).

2 answers

Initial KE=finalPE+frictionlosses
1/2 m 2.8^2=mg( d*sinTheta)+ d*mu*mg*cosTheta
notice mass m divides out. solve for distance d up the incline.
Thanks!