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A box starts out at the top of a frictionless ramp, then slides down. The ramp has a heighth=3meters and a slope of5degrees with respect to the ground. The box has a mass of3kg. The system is under normal gravity, sog= 9.81 m/s2Let the potential energy be zero at the bottom.

a) What is the initial gravitational energy of the box at the top of the ramp?

b) What is the kinetic energy of the box at the bottom of the ramp?

c) What is the total mechanical energy of the box at the bottom of the ramp?

d) What is the total mechanical energy of the box at the top of the ramp?

e) What does this make the velocity of the box at the bottom?

m/s

f) What is this velocity if the box starts with a mass of9kg?

m/s

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