Question

What is kinetic energy at infinity?

Answer 1

Step 1: Given

Let mass of body = $m$

velocity of body = $v$

Step 2: Formula

Kinetic energy = $K.E=\frac{1}{2}m{v}^2$ where $m$is the mass, $v$ is the velocity, $K.E$ is the kinetic energy.

velocity $\mathrm{v}=\frac{\mathrm{dr}}{\mathrm{dt}}$

Step 3: Solution

1. Infinite distance is the distance that is needed to escape out of the body's gravitation.
2. We know ${v^2}_0={v^2}_{given}-{v^2}_{escape}$ where $$\begin{gathered} v_{0}willbefinalvelocityofbody \\ {v}_{escape}istheescapevelocityofbody \\ {v}_{given}istheinitalvelocitygiventobody \end{gathered}$$
3. If the velocity given to body is equal to escape velocity then KE will be zero.
4. If the velocity given to the body is greater than escape velocity, then KE will be given by $K.E=\frac{1}{2}m{v_0}^2$.