# Problem: The escape speed for a particle to leave the gravitational influence of the sun is given by (2GM/R)1/2, where M is the sun's mass, R its radius, and G the gravitational constant. The sun's mass is M=1.99×1030 kg, its radius R= 6.96×108 m and G=6.673×10-11 N·m2/kg2.Calculate the escape speed for the sun.

###### FREE Expert Solution

The escape speed of the sun is expressed as:

$\overline{){{\mathbf{v}}}_{\mathbf{e}\mathbf{s}\mathbf{c}\mathbf{a}\mathbf{p}\mathbf{e}}{\mathbf{=}}\sqrt{\frac{\mathbf{2}\mathbf{G}\mathbf{M}}{\mathbf{R}}}}$

###### Problem Details

The escape speed for a particle to leave the gravitational influence of the sun is given by (2GM/R)1/2, where M is the sun's mass, R its radius, and G the gravitational constant. The sun's mass is M=1.99×1030 kg, its radius R= 6.96×10m and G=6.673×10-11 N·m2/kg2.

Calculate the escape speed for the sun.

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.