A box starts out at the top of a frictionless ramp, then slides down. The ramp has a height h = 4 m and a slope of 12o with respect to the ground. The box has a mass of 5 kilogram. The system is under normal gravity, so g = 9.81 m/s2. Let the potential energy be zero at the bottom.
a) Find the initial gravitational energy of the box at the top of the ramp?
b) Find the kinetic energy of the box at the bottom of the ramp?
c) Find the total mechanical energy of the box at the bottom of the ramp?
d) Find the total mechanical energy of the box at the top of the ramp?
e) Find what does this make the velocity of the box at the bottom?
f) Find this velocity if the box starts with a mass of15 kilogram?