5. a 70 kg astronaut floating in an orbiting space station throws a 1.0 kg water bottle across the room at a
speed of 8.0 m/s. what is the magnitude of the astronaut's recoil velocity? (hint: use mv = -m2v2
where v2 is the astronaut's recoil velocity – you know m1 = 1.0 kg, m2 = 70 kg and v1 = 8.0 m/s)

For this car, predict the shape of a graph that shows distance (x) versus time (t). note that time is the independent variable and will be on the bottom axis. need asap

(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.)

The mass of a bowling ball is 10 kg and the mass of a ping pong ball is 0.015 kg. if the two objects are 5 meters apart, what is the gravitational force ?