During a lunar mission, it is necessary to increase the speed of a spacecraft by 2.1 m/s when it is moving at 370 m/s relative to the moon. the speed of the exhaust products from the rocket engine is 1200 m/s relative to the spacecraft. what fraction of the initial mass of the spacecraft must be burned and ejected to accomplish the speed increase?

The rocket is fired vertically and tracked by the radar station shown. when θ reaches 66°, other corresponding measurements give the values r = 32700 ft, r¨ = 85 ft/sec2, and θ˙ = 0.019 rad/sec. calculate the magnitudes of the velocity and acceleration of the rocket at this position.

How do we measure or think of speed in the united states?

Two steel balls, each of mass m, are welded to a light rod of length l and negligible mass and are initially at rest on a smooth horizontal surface. a horizontal force of magnitude f is suddenly applied to the rod as shown. determine (a) the instantaneous acceleration a of the mass center g and (b) the corresponding rate at which the angular velocity of the assembly about g is changing with time.