In the design of an amusement-park ride, the cars are attached to arms of length r = 25 m which are hinged to a central rotating collar which drives the assembly about the vertical axis with a constant angular rate ω = 0.34 rad/s. the cars rise and fall with the track according to the relation z = (h/2)(1-cos 2θ) where h = 6.8 m. find the r-, θ-, and ϕ-components of the velocity v of each car as it passes the position θ = 42°.

Will mark as brainliest how does a catapult increase the trajectory of an object? ps. answer as if u were a 5th grader

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.

An insulated thermos contains 148 g of water at 72.7 ˚c. you put in a 11.7 g ice cube at 0.00 ˚c to form a system of ice + original water. the specific heat of liquid water is 4190 j/kg•k; and the heat of fusion of water is 333 kj/kg. what is the net entropy change of the system from then until the system reaches the final (equilibrium) temperature?