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steroids X, Y, and Z have equal mass of 9.0 kg each. They orbit around a planet

ID: 1400552 • Letter: S

Question

steroids X, Y, and Z have equal mass of 9.0 kg each. They orbit around a planet with M=7.20E+24 kg. The orbits are in the plane of the paper and are drawn to scale.

In the statements below, TE is the total mechanical energy, KE is the kinetic energy, and PE is the potential energy.

greater than/ less than/ equal to The PE of Y at r is .... the PE of X at s
greater than/ less than/ equal to  The TE of Y is .... the TE of Z
greater than/ less than /equal to  The KE of X at m is .... that at r
greater than/ less than/ equal to  The TE of Z is .... the TE of X
greater than/less than /equal to  The PE of Z at s is .... the PE of X at s
greater than /less than /equal to  The PE of Z at s is .... the PE of Y at a
greater than/ less than /equal to  The PE of Y at r is .... that at u
greater than /less than /equal to  The speed of Y at i is .... that at r

Explanation / Answer

The PE of Y at r is EQUAL the PE of X at s

both y & x are at same distances from M

+++++++++++++++++++++++++
The TE of Y is GREATER THAN the TE of Z

the orbit of Y is greater than the orbit of Z

++++++++++++++++


The KE of X at m is EQUAL TO that at r

both points are in the same orbit
+++++++++++++++++++++

The TE of Z is greater than the TE of X

++++++++++++++++++++++


The PE of Z at s is EQUAL TO the PE of X at s


both y & x are at same distances from M

+++++++++++++++++++++

The PE of Z at s is LESS THAN the PE of Y at a


a is at larger distnce than s

+++++++++++++++

The PE of Y at r is LESS THAN that at u
r is at less diatnce than u

++++++++++++++

The speed of Y at i is LESS THAN that at r


as the distance increases the speed decreases