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A 7.50-kg box slides up a 25.0o ramp with an initial speed of 7.50 m/s. The...

A 7.50-kg box slides up a 25.0o ramp with an initial speed of 7.50 m/s. The coefficient of kinetic friction between the box and ramp is 0.333. You wish to calculate the distance the box will move up the ramp before coming to a stop using mechanical-energy (NOT force-motion or the work-kinetic energy.)

a. Write the correct equation for solving the problem, and then fully justify its use. (Start by identifying the objects in the system [only the required objects] and then proceeding as in class.)

b. Beginning with the equation in (a), calculate the desired distance.

c. Calculate the change in the thermal energy of the system as the box moves from the bottom of the ramp to where it stops.

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