Gravity Pull

There is an asteroid flying in space. At \(t = 0 \ \rm{s}\) , it travels at a speed of \(v_0 = {{ params.v0 }} \ \rm{m/s}\) and a distance \(d = {{ params.d }} \ \rm{km}\) away from the planet’s surface as shown. The planet has a radius of \(R = {{ params.R }}\ \rm{km}\) and mass \(M = {{ params.M }} \times 10^{25}\ \rm{kg}\).
\(G = 6.67 \times 10^{-11} \ \rm{m^3. kg^{-1}. s^{-2}}\)

Part 1

Find the asteroid’s speed when it is \({{ params.d1 }}\ \rm{km}\) away from the surface.

Answer Section

Please enter in a numeric value in \(\rm{m/s}\).

Attribution

Problem is licensed under the CC-BY-NC-SA 4.0 license.