Two objects, A and B, are released from rest in free space (no other masses are near). Object A has a less mass than object B. They accelerate toward each other under the action of their mutual gravitational attraction. (Don’t assume anything in these problems, just do the math and show clear and concise work to get the answer)   Please ANSWER QUESTION 15.

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Two objects, A and B, are released from rest in free space (no other masses are near). Object A has a less mass
than object B. They accelerate toward each other under the action of their mutual gravitational attraction. (Don’t
assume anything in these problems, just do the math and show clear and concise work to get the answer)

 

Please ANSWER QUESTION 15.

13. On which object is the greater work done?
greater work done on
14. Which object will have larger momentum?
greater Ipl:
Transcribed Image Text:13. On which object is the greater work done? greater work done on 14. Which object will have larger momentum? greater Ipl:
15. Which object will have the greater kinetic energy?
greater K:
Transcribed Image Text:15. Which object will have the greater kinetic energy? greater K:
Expert Solution
Step 1

Let,

  • The mass of the object A is MA.
  • The mass of the object B is MB.

Since, the object A has less mass than object B. Thus, MB>MA.

Step 2

The expression for the force of attraction due to the object A on object B is given by,

FA=GMAMBr2   1

Here, G is the gravitational constant and r is the distance between the objects.

The expression for the force of attraction due to the object B on object A is given by,

FB=GMBMAr2   2

Here, G is the gravitational constant and r is the distance between the objects.

On comparing equation (1) and (2) it is clear that the force of attraction on both the objects are same.

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