A 5 g dart is shot with a speed of 400 m/s into a 2.3 kg block initially at rest attached to a 120 N/m spring and gets lodged in the block. Friction is negligible. a. Find the amplitude of the dart-block system.
b. Find the speed of the dart-block system when it return to equilibrium.
c. Find the period of the dart-block system.

Acommercial refrigerator with refrigerant-134a as the working fluid is used to keep the refrigerated space at -35°c by rejecting waste heat to cooling water that enters the condenser at 18°c at a rate of 0.25 kg/s and leaves at 26°c. the refrigerant enters the condenser at 1.2 mpa and 50°c. if the compressor consumes 3.3 kw of power, determine (a) the mass flow rate of the refrigerant, (b) the refrigeration load, (c) the cop, and (d) the minimum power input to the compressor for the same refrigeration load.