A 0.5 kg ball is thrown up into the air with an initial speed of 9 m/s . At what

Question

A 0.5 kg ball is thrown up into the air with an initial speed of 9 m/s . At what height does the gravitational potential energy of the ball equal its initial kinetic energy?

a) When the ball goes up and comes back down to the same height that it was initially thrown from. b) The gravitational potential energy of the ball never equals its initial kinetic energy. c) When the ball reaches its maximum height, just before it starts to come back down. d) When the ball is half way up to its maximum height.

Explanation / Answer

mass of the ball m=0.5 kg,

initial speed v=9 m/sec^2

by using conservation of energy,

K1+U1=K2+U2

1/2*m*v^2+0=0+m*g*h

1/2*m*v^2=m*g*h

1/2*v^2=g*h

===>

height, h=v^2/2*g

h=9^2/(2*9.8)

h=4.13 m

here,

option C is correct,

When the ball reaches its maximum height, just before it starts to come back down.

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