Aphysics professor is pushed up a ramp inclined upward at an angle 32.0° above the horizontal as she sits in her desk chair, which moves on frictionless rollers. the combined mass of the professor and chair is 86.0 kg . she is pushed a distance 2.30 m along the incline by a group of students who together exert a constant horizontal force (not parallel to the incline) of 599 n . dr. moreno's speed at the bottom of the ramp is 1.70 m/s. find velocity at the top of the ramp.

Your starship, the aimless wanderer, lands on the mysterious planet mongo. as chief scientist-engineer, you make the following measurements: a 2.50-kg stone thrown upward from the ground at 14.0 m/s returns to the ground in 5.70 s ; the circumference of mongo at the equator is 2.20×10^5 km ; and there is no appreciable atmosphere on mongo. (a) the starship commander, captain confusion, asks for the following information: what is the mass of mongo? (b) if the aimless wanderer goes into a circular orbit 2.20×10^4 km above the surface of mongo, how many hours will it take the ship to complete one orbit? (c) an unmanned spacecraft is in a circular orbit around the moon, observing the lunar surface from an altitude of 44.0 km . to the dismay of scientists on earth, an electrical fault causes an on-board thruster to fire, decreasing the speed of the spacecraft by 23.0 m/s . if nothing is done to correct its orbit, with what speed (in km/h) will the spacecraft crash into the lunar surface?