A body which is initially at rest at a height R above the surface of the earth of radius R, falls freely towards the earth. Find out its velocity on reaching the surface of earth. (Take g = acceleration due to gravity on the surface of the Earth).
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. Potential energy at ground surface
potential energy = 
potential energy at a height of R is R
potential energy = 
When a body comes to ground
Loss in potential energy = Gain in kinetic energy
⇒ 
– 
= 
mv 2
⇒ 
= 
mv 2 ⇒
gR = v 2 
⇒ v = 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A body of mass m is taken from earth surface to the height h equal to radius of earth, the increase…
An artificial satellite moving in a circular orbit around the earth has a total (kinetic + potentia…
Two planets A and B are fixed at a distance d from each other as shown in the figure. If the mass o…
A body starts from rest at a point, distance R 0 from the center of the earth of mass M, radius R. …
A particle of mass m is placed at the centre of a uniform spherical shell of mass and radius R. The…
Two spheres each of mass M and radius R are separated by a distance of r. The gravitational potenti…