Gravitation - Result Question 10

«««< HEAD:content/english/neet-pyq-chapterwise/physics/gravitation/gravitation-result-question-10.md

10. Two spherical bodies of mass $M$ and $5 M$ and radii $R$ and $2 R$ released in free space with initial separation between their centres equal to 12 $R$. If they attract each other due to gravitational force only, then the distance covered by the smaller body before collision is

======= ####10. Two spherical bodies of mass $M$ and $5 M$ and radii $R$ and $2 R$ released in free space with initial separation between their centres equal to 12 $R$. If they attract each other due to gravitational force only, then the distance covered by the smaller body before collision is

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/gravitation/gravitation—result-question-10.md (a) $4.5 R$

(b) $7.5 R$

(c) $1.5 R$

(d) $2.5 R$

[2015]

Show Answer

Answer:

Correct Answer: 10. (b)

Solution:

  1. (b) Let the distance moved by spherical body of mass M is $x_1$ and by spherical body of mass $5 m$ is $x_2$

Before collision At the time of collision

As their C.M. will remain stationary

So, $(M)(x_1)=(5 M)(x_2)$ or, $x_1=5 x_2$

$x_1+x_2=9 R$

So, $x_1=7.5 R$