Question A: Asteroids X, Y, and Z have equal mass of 8.0 kg each. They orbit aro

Question

Question A: Asteroids X, Y, and Z have equal mass of 8.0 kg each. They orbit around a planet with M=6.20E+24 kg. The orbits are in the plane of the paper and are drawn to scale.

In the statements below decide weather the given is greater than, equal to or less than. TE is the total mechanical energy, KE is the kinetic energy, and PE is the potential energy. a. The KE of X at u is .... that at r

b. The PE of Y at s is .... the PE of Z at a

c.The TE of Y is .... the TE of X

d.The speed of Z at c is .... that at r

e. The PE of Y at s is .... the PE of X at s

f. The PE of Y at a is .... that at i

g. The PE of Y at s is .... the PE of X at r

h. The TE of Y is .... the TE of Z

Part B

Asteroids X, Y, and Z have equal mass of 9.0 kg each. They orbit around a planet with M = 6.20×1024 kg. The orbits are in the plane of the paper and are drawn to scale.

The three asteroids orbit in the same clockwise direction.

greater than less than equal to  The angular velocity of X at e is .... that at i.
greater than less than equal to  The angular velocity of X at e is .... that of Y at e.
greater than less than equal to  The angular momentum of X is .... that of Y.
greater than less than equal to  The angular velocity of Y at e is .... that at c.
greater than less than equal to  The period of Z is .... that of Y.
greater than less than equal to  The angular momentum of X at i is .... that at v.
greater than less than equal to  The period of X is .... that of Y.

Explanation / Answer

PART A -

a) equal as K.E is constant for orbit X because it is a circle

b) less as P.E depends only on distance

c) equal

d) speed of z at c is less that at r as speed increases as asteroid comes close to the planet

e) equal as T.E is equal for both of them

f) greater as distance is more

g) equal

h) less than

PART B

a) greater

b) less than

c) less than

d) equal because of circular orbit

e) period of z is greater as its semi major axis is longer

f) equal

g) equal

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