Asmall sphere of mass m is launched horizontally over a body of water from a height h above the water and with a launch speed v0. determine expressions for the following in terms of m, v0, h, and g. air resistance is negligibly small.(a) w is the amount work done by the force of gravity on the projectile during its flight. w = −mgh for a conservative force, how does the work done by the force compare to the change in potential energy associated with the force? (b) δke is the change in kinetic energy δke of the projectile from the time it was fired until it hits the water.δke = 12mv2ƒ−12mv2i according to the work energy theorem, how does the net work done of an object compare to its change in kinetic energy? (c) kef is the final kinetic energy kef of the projectile as it hits the water. kef = 12mv2i−mghcan you express the final kinetic energy in terms of the change in kinetic energy and the initial kinetic energy?

Abug is 12 cm from the center of a turntable that is rotating with a frequency of 45 rev/min . what minimum coefficient friction is required so that the bug stays on the turntable?

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?

The molecular mass of a gas is (select all that apply) a. independent of the type of gas b. the same number as the atomic (or molecular) mass, but measured in grams c. dependent on the temperature d. the mass of a mole of the gas