A 20.0 g ball is pushed against the spring of a toy gun. The spring constant is 200. N/m. Use conservation of energy If the spring was compressed 5.0 cm, how much elastic potential energy does the toy gun have? If the trigger is pulled and the spring comes to its original, uncompressed position, what will be the speed given to the ball? If the toy gun had been pointed vertically upward when the trigger was pulled, how high will the ball rise above the uncompresssed position of the spring?

Astring that is fixed at both ends has a length of 1.05 m. when the string vibrates at a frequency of 91.0 hz, a standing wave with five loops is formed. (a) what is the wavelength of the waves that travel on the string? (b) what is the speed of the waves? (c) what is the fundamental frequency of the string?

The key to stability is feedback between the reservoir and the fluxes into and/or out of the reservoir. assume that the rate of outflow from a reservoir depends on the size of the reservoir according to the following relationship: outflow rate= k x (size of reservoir), where k is a constant. a reservoir of water has a volume of 5000 liters, and the rate of outflow at steady state is 25 liters per minute. what is k? (give both the numerical value and its units.) what is the residence time? what is the relationship between k and the residence time?

Steam enters an adiabatic diffuser at 150 kpa and 1208c with a velocity of 550 m/s. determine the minimum velocity that the steam can have at the outlet when the outlet pressure is 300 kpa.