Chapter 11, Problem 54P

A uniform, solid, spherical asteroid with mass 1.2 × 10¹³ kg and radius 1.0 km is rotating with period 4.3 h. A meteoroid moving in the asteroid’s equatorial plane crashes into the equator at 8.4 km/s. It hits at a 58° angle to the vertical and embeds itself at the surface. After the impact the asteroid’s rotation period is 3.9 h. Find the meteoroid’s mass.