Escape Velocity Video Lessons

Video Thumbnail

Concept

Problem: An object of mass m is launched from a planet of mass M and radius R.Part (a) Derive an expression for the minimum launch speed needed for the object to escape gravity (meaning the object to reach r = ∞)Part (b) Calculate this minimum launch speed (called the escape velocity) in m/s for a planet of mass M = 7x1027 kg and R = 85x104 km

FREE Expert Solution

Escape velocity is defined as the minimum launch speed for an object to escape.

This means that the object stops very far away and never returns to the planet. 

Force of gravity is given by:

FG=GMmr2

When r is infinity, FG = 0

When the object stops far away, vf = 0

96% (244 ratings)
View Complete Written Solution
Problem Details

An object of mass m is launched from a planet of mass M and radius R.

Part (a) Derive an expression for the minimum launch speed needed for the object to escape gravity (meaning the object to reach r = ∞)

Part (b) Calculate this minimum launch speed (called the escape velocity) in m/s for a planet of mass M = 7x1027 kg and R = 85x104 km

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Escape Velocity concept. You can view video lessons to learn Escape Velocity. Or if you need more Escape Velocity practice, you can also practice Escape Velocity practice problems.