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Objects x and y are connected by a string of negligible mass and suspended vertically over a pulley of negligible mass, creating an atwood’s machine, as shown in the figure. The objects are initially at rest, and the mass of object y is greater than the mass of object x. As object y falls, how does the gravitational potential energy of the object x-object y-earth system change? all frictional forces are considered to be negligible.

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We have that the  gravitational potential energy  effect on the system is mathematically given as

  • The gravitational potential energy decreases because the center of mass of Object X and Object Y moves downward.

Option C

From the question we are told

  • The objects are initially at rest, and the mass of object y is greater than the mass of object x.
  • As object y falls, how does the gravitational potential energy of the object x-object y-earth system change? all frictional forces are considered to be negligible.

Centre of mass

Due to reduce in top of Y, doable strength will limit and due to amplify in peak of X, achievable power will increase.

Now, PE = mgh.

Generally the equation for the Velocity of centre of mass  is mathematically given as

[tex]V =\frac{ m1v1 + m2v2}{ m1 + m2}\\\\Therefore \\\\V =\frac{ (m1 - m2) v}{ m1 + m2}[/tex]

Hence, V is positive as m1 > m2

Therefore

  • centre of mass of system moves downwards.

The conclusion

The gravitational potential energy decreases because the center of mass of Object X and Object Y moves downward.

Option C

For more information on gravitation visit

https://brainly.com/question/16517842

Complete Question

Objects X and Y are connected by a string of negligible mass and suspended vertically over a pulley of negligible mass, creating an Atwood’s machine, as shown in the figure.

The objects are initially at rest, and the mass of Object Y is greater than the mass of Object X. As Object Y falls, how does the gravitational potential energy of the Object Y-Object Y-Earth system change? All frictional forces are considered to be negligible.

a

The gravitational potential energy increases because the center of mass of Object X and Object Y moves upward.

b

The gravitational potential energy increases because the center of mass of Object X and Object Y moves downward.

c

The gravitational potential energy decreases because the center of mass of Object X and Object Y moves downward.

d

The gravitational potential energy decreases because the center of mass of Object X and Object Y moves upward.

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