A 2.0 kg wood block is launched up a wooden ramp

[bobbarkernar]

Can someone help me with this problem.

A 2.0 kg wood block is launched up a wooden ramp that is inclined at a 30 degree angle. The block's initial speed is 10 m/s. The coefficient of kinetic friction of wood on wood is .200

1)What vertical height does the block reach above its starting point?
2)What speed does it have when it slides back down to its starting point?

 

[bobbarkernar]

please can someone help me.

 

[Astronuc]

Without friction one could apply conservation of energy in which the initial kinetic energy 1/2 mv² is transformed into the change in gravitational potential energy mgh, where h is the change in elevation in the gravitational field.

However, with friction, a dissipative force is involved, so some of the initial kinetic energy is transformed into gravitational potential energy, and some is dissipated by the friction force applied over the distance along the ramp.

Determine the force of friction. There is also a relationship between distance along the ramp and the (vertical) elevation increase.