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A box starts out at the top of a frictionless ramp, then slides down. The ramp has a height h = 3 meters and a slope of 5 degrees with respect to the ground. The box has a mass of 1 kg. The system is under normal gravity, so g = 9.81 m/s2 Let the potential energy be zero at the bottom.

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

J

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

J

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

J

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

J

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 of 3 kg?

m/s

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