Asingle cylinder diesel engine produces an output torque of 75 nm when running at 1600 revs min–1. the indicated mean effective pressure in the cylinder is 5 bar and the piston diameter and stroke length are 150 mm and 250 mm respectively. calculate : (a) the mechanical efficiency of the engine. (b) the brake mean effective pressure.

Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. the first has a mass of 2.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. assume that the positive direction is directed from the second satellite towards the first satellite. (a) calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.(b) what is the loss of kinetic energy in this inelastic collision? (c) repeat both parts, in the frame of reference in which the second satellite was originally at rest. final velocity(d) loss of kinetic energy = ?