F=ma 2024 Problem 16

Physics · mechanics

Problem

Question: A child of mass

m

holds onto the end of a massless rope of length

\ell

,which is attached to a pivot a height

H

above the ground. The child is released from rest when the rope is straight and horizontal. As shown in the figure, at some point, the child lets go of the rope, flies through the air, and lands on the ground a horizontal distance

d

from the pivot. On Earth,the maximum possible value of

d

d_E

. If the setup is moved to the Moon, which has

1/6

the gravitational acceleration, what is the new maximum possible value of

d

? (A)

d_E/6

. (B)

d_E/\sqrt{6}

. (C)

d_E

. (D)

\sqrt{6}d_E

. (E)

6d_E

. *Note: This problem references figure(s): `image_question/F=MA_2024_16_1.png`*

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