A piece of putty of mass m = 0.75 kg moves at a velocity of v = 2.5 m/s along a horizontal frictionless surface. It hits and sticks to the bottom of a rod of mass M = 2 kg and length L = 0.9 m which is held by a frictionless nail at the opposite end of the rod, as shown. a) Find the frequency of the subsequent oscillations.
b) If the putty had hit and stuck to the rod at a higher point, would the rod-putty system oscillate faster or slower?

Hydrogen and helium are both members of?

Refrigerant-134a flows through a carnot heat pump cycle at 0.5 kg/s. it is known that the maximum absolute temperature in the cycle is 1.1 times the minimum absolute temperature, and the net power input to the cycle is 2.5 kw. if the refrigerant changes from a saturated vapor to a saturated liquid during the heat rejection process, determine the maximum magnitude of the enthalpy of vaporization for this process in kj/kg (with 3 significant figures).

Two masses are connected by a rope that hangs over a pulley as shown below. the pulley is a uniform cylinder of radius 푅=0.381meters and mass 푀=3.1푘푔. initially 푚"is on the ground and 푚#rests 2.5 meters above the ground. if the system is released, use conservation of energy to determine the speed of 푚#just before it strikes the ground. assume the pulley bearing is frictionless.