Calculate the gravitational potential energy

Reference no: EM13995045

Consider the ring-shaped body of the figure. A particle with mass m is placed a distance x from the center of the ring, along the line through the center of the ring and perpendicular to its plane.

693_The ring-shaped body.jpg

Part A

Calculate the gravitational potential energy U of this system. Take the potential energy to be zero when the two objects are far apart.

Part B

Show that your answer to part (a) reduces to the expected result when x is much larger than the radius a of the ring.

Part C

Use Fx=-dU/dx to find the magnitude and direction of the force on the particle.

Part D

Show that your answer to part (c) reduces to the expected result when x is much larger than a.

Part E

What is the value of U when x=0?

Part F

What is the value Fx when x=0?

Part G

Explain why the results for Fx(0) and U(0) make sense.

Reference no: EM13995045

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