Two Jupiter-size planets are released from rest 1.0 × 1011

Chapter 13, Problem 41P

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QUESTION:

Problem 41P

Two Jupiter-size planets are released from rest 1.0 × 1011 m apart. What are their speeds as they crash together?

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QUESTION:

Problem 41P

Two Jupiter-size planets are released from rest 1.0 × 1011 m apart. What are their speeds as they crash together?

ANSWER:

Step 1 of 3

Here we need to calculate the final speed of the Jupiter size planets after collision. Two Jupiter size planets with mass \(M\) with radius \(R\) are initially released from rest with a distance \(r_{1}=1 \times 10^{11} m\) apart as shown below,

 

 

Since the planets are released from rest, both have the initial speed equal to zero.

That is,

\(v_{i}=0\)

 

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