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Fifteen joules of work is done on object $A$ so that only its gravitational potential energy changes. Sixty joules of work is done on object $B$ (same mass as object $A$) so that only its gravitational potential energy changes.

How many times does the height of object $B$ change compared to the height change of object $A$, as a result of the work done?

A

Object $B$ changes height four times as much as object$A$ changes height.

B

Object $B$ changes height sixteen times as much as object $A$ changes height.

C

Object $B$ changes height two times as much as object $A$ changes height.

D

Object $B$ changes height less than two times as much as object $A$ changes height (but not the same amount).

E

Object $B$ changes height the same amount as object $A$ changes height.

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