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Let m represent the ball’s mass, y represent the distance the ball falls, and v represent the ball’s final speed. Define the system to only include the ball and use the Work-Energy Theorem to find an expression for v in terms of the other variables given and any constants that are necessary

User Nikeros
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Answer:


v = √(2gy)

Step-by-step explanation:

Formula for Kinetic Energy
E_k = (mv^2)/(2)

Formula for Potential Energy
E_p = mgy where g = 9.81 m/s

When the ball travels a distance y downward, its potential energy would be converted to kinetic energy. Hence, the ball loses altitude and gains speed

By law of total energy conservation


E_k = E_p


(mv^2)/(2) = mgy


v^2 = 2gy


v = √(2gy)

User Gray Spectrum
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