The picture shows a rollercoaster car as it is about to descend a high hill. The car's speed at the top (point A) is 2 m/s, and the crest is 44 m high, as measured from the ground. a) Neglecting friction, what is the speed of the car at the bottom of the hill (point B), 5 m above ground? b) Suppose that the work done by friction reduces the energy by 5% during the descent. Compute the new speed at the bottom of the ride. Take the mass of the car and passengers combined to be 480 kg.

Explain why the aperture of the spherical mirror should be small compared to the radius of curvature of the mirror.

Steam is generated in a boiler of a cogeneration plant at 10 mpa and 450°c at a steady rate of 5 kg/s. in normal operation, steam expands in a turbine to a pressure of 0.5 mpa and is then routed to the process heater, where it supplies the process heat. steam leaves the process heater as a saturated liquid and is pumped to the boiler pressure. in this mode, no steam passes through a condenser, which operates at 20 kpa. (a) determine the power produced in the turbine and the rate at which process heat is supplied in this mode. (b) determine the power produced in the turbine and the rate of process heat supplied if only 60 percent of the steam is routed to the process heater and the remainder is expanded to the condenser pressure. (3.32 mw; 9.69 mw; 4.25 mw; 5.82 mw)

Alarge cruise ship of mass 7.00 ✕ 107 kg has a speed of 11.6 m/s at some instant. (a) what is the ship's kinetic energy at this time? (b) how much work is required to stop it? (give the work done on the ship. include the sign of the value in your answer.) (c) what is the magnitude of the constant force required to stop it as it undergoes a displacement of 3.00 km?