A mother and son are roller-skating together. The mother is standing still in the middle of the rink and the son runs into her from behind, skating as fast as he can. When he runs into his mother, he grabs onto her legs and they roll forward together at 2.21 m/s. The mother's mass is 54.7 kg, and the son has a mass of 33.1 kg. What is the son's velocity just prior to the collision?

(a) assume the equation x = at^3 + bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. determine the dimensions of the constants a and b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.) (b) determine the dimensions of the derivative dx/dt = 3at^2 + b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.)

If jerome is swinging on a rope and transferring energy from gravitational potential energy to kinetic energy, is being done.

What is the coefficient of kinetic friction μk between the block and the tabletop?