Universal Law of Gravitation Video Lessons

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Problem: An object in the shape of a thin ring has radius a and mass M. A uniform sphere with mass m and radius R is placed with its center at a distance x to the right of the center of the ring, along a line through the center of the ring, and perpendicular to its plane (Figure 1).Part AWhat is the gravitational force that the sphere exerts on the ring-shaped object?Express your answer in terms of the variables a, M, m, R, x, and appropriate constants.

FREE Expert Solution

Newtons law of universal gravitation:

F=GM1M2R2

R = (a2 + x2)(1/2)

F=GMm(a2+x2)

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Problem Details

An object in the shape of a thin ring has radius a and mass M. A uniform sphere with mass m and radius R is placed with its center at a distance x to the right of the center of the ring, along a line through the center of the ring, and perpendicular to its plane (Figure 1).

Part A

What is the gravitational force that the sphere exerts on the ring-shaped object?

Express your answer in terms of the variables a, M, m, R, x, and appropriate constants.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Universal Law of Gravitation concept. You can view video lessons to learn Universal Law of Gravitation. Or if you need more Universal Law of Gravitation practice, you can also practice Universal Law of Gravitation practice problems.