1. Suppose you held a ball at a height h above the ground and thendropped it. a.
ID: 1765051 • Letter: 1
Question
1. Suppose you held a ball at a height h above the ground and thendropped it.a. What is the expression for the total energyof the ball at a height h just before you drop it
b. What is the expression for the total energyof the ball just before the ball hits the ground
(height = 0, velocity = vf)?
c. Use the Conservation of Mechanical Energy andthe expressions found in (a) and (b) to write
a single energy equation for the ball as itfalls from a height of h to a height of 0
d. Solve the expression in (c) for the finalvelocity vf. Write it in terms of the variables m, g and h.
It would be great if someone could help me out! Thank you!
Explanation / Answer
(a) Total energy at a height 'h' = potentialenergy at height 'h' =m g h (b) Total energy of the ball just before theball hits the ground = kinetic energy = ( 1/2 ) m (Vf)2 ( where Vf = final velocity ) (c) From law of conservation of energy, it isclear that the total energy at any point along the path remainssame hence total energy at any point along it's path = mgh = (1/2)m (Vf)2 (d) mgh = (1/2) m (Vf)2 Vf = ( 2g h )Related Questions
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