Eli X.

asked • 05/10/18

A 2-kg soccer ball is kicked vertically from the ground. Approximately, at what height is the gravitational potential energy of the ball maximum?

A 2-kg soccer ball is kicked vertically from the ground. Approximately, at what height is the gravitational potential energy of the ball maximum?
Here are the given choices:
a. 5m
b. 10m
c. 15m
d. 20m

Philip P.

The answer depends on the vertical speed of the soccer ball after it's kicked.  Does the problem state the speed or provide a height equation?
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05/10/18

Eli X.

No the problem only gave the mass of the ball. No velocity was given.
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05/10/18

Arturo O.

Then there is not sufficient information the answer the question.
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05/10/18

Arturo O.

I meant to say there is not sufficient information to answer the question.
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05/10/18

1 Expert Answer

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Arturo O. answered • 05/10/18

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You need to also state the vertical speed v0 at which the ball was kicked.  Then you can get maximum height from
 
mv02/2 = mghmax ⇒
 
hmax = v02 / (2g)
 
What is v0?  It should be in the original problem statement.  Look it up, and plug it in.
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Arturo O.

By the way, note the answer does not depend on the mass of the ball.
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05/10/18

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