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A bowling ball of unknown mass is dropped from the top of a building that has a height of 111 m. The ball hits the ground with a speed of 17.7 m/s. If the ball experienced a drag force of 50 N due to air resistance, what is the mass of the ball?

Determine the mass m of the bowling ball in kg.



Answer :

MathPhys

Answer:

5.96 kg

Explanation:

Energy is conserved. The ball starts with gravitational potential energy, which is then converted to kinetic energy and work done by air resistance.

Conservation of energy:

PE = KE + W

mgh = ½ mv² + Fd

Solve for m.

mgh − ½ mv² = Fd

m (gh − ½ v²) = Fd

m = Fd / (gh − ½ v²)

Plug in values.

m = (50 N) (111 m) / (9.8 m/s² × 111 m − ½ (17.7 m/s)²)

m = 5.96 kg

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