horizontal surface with constant speed v. Identical steel sphere B is at rest an

Question

horizontal surface with constant speed v. Identical steel sphere B is at rest and hangs on a string of length R attached to a support at point P, as shown in the figure above. The spheres collide and as a result sphere A stops and sphere B swings a vertical height h before coming momentarily to rest. Knowing values for which of the following will allow determination of the angular impulse on sphere B with respect to P due to the collision? (A) M and v only (B) M, v, and h (C) R and h (D) R, M, and v 24. Steel sphere A of mass M is moving along a Mars Sun Note: Figure not drawn to scale. 4. Mars moves in an elliptical orbit around the Sun, and the mass of Mars is much less than the mass of the Sun. At the instant shown above, Mars is getting farther away from the Sun. How does this affect the potential energy of the Mars-Sun system and the magnitude of Mars's angular momentum with respect to the Sun? System Mars's Angular Energy (A) Increases (B) Increases (C) Decreases (D) Decreases Increases Remains the same Decreases Remains the same

Explanation / Answer

4.

the potential energy of the system is given as

U = - GMm/r

as the distance "r" increase , the potential energy decrease

using conservation of angular momentum

The angular momentum remains constant all the time

so choice D

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