F=ma 2025 Problem 20

Physics · mechanics

Problem

Question: The International Space Station orbits the Earth in a circular orbit 400km400 km above the surface,and a full revolution takes 93 minutes. An astronaut on a space walk neglects safety precautions and tosses away a spanner at a speed of 1m/s1 m/s directly towards the Earth. You may assume that the Earth is a sphere of uniform density. At which of the following five times will the spanner be closest to the astronaut? (A) After 139.5 minutes. (B) After 131.5 minutes. (C) After 93 minutes. (D) After 46.5 minutes. (E) After 1 minute.

Browse the problem library