CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

Two particles of masses 20kg and 10kg are initially at a distance of 1.0m. Find the speeds of the particles when the separation between them decreases to 0.5m, if only gravitational forces are acting.

Open in App
Solution

Since only internal forces acts, center of mass must remain stationary,

20v1+10v2=0

v2=2v1

Also, conserving total energy of the system,

1220v21+1210v22G(10)(20)0.5=G(10)(20)1

30v21=200(6.67X1011)

v1=2.11X105m/s

|v2|=2|v1|=4.22X105m/s

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Introduction
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon