What is its Kinetic Energy?
1) Mass M = 45 kg Speed v = 10.0 m/s a) Kinetic energy = 1/2 Mv^2 = 1/2 * 45 * 10.0^2 = 1/2 * 45 * 100 = 2,250 J b) v = 5.0 m/s Kinetic energy = 1/2 Mv^2 = 1/2 * 45 * 5.0^2 = 1/2 * 45 * 25 = 562.5 J c) Kinetic energy in a/kinetic energy in b = 2250/562.5 = 4 This is because speed in a is 2 times the speed in b. Kinetic energy is proportional to the square of speed. Therefore, kinetic energy in a is 2^2 (i.e. 4) times the kinetic energy in b. 2) Mass M = 45 kg Distance = 1.8 km = 1800 m Time = 10 min = 600 s Speed v = distance/time = 1800/600 = 3 m/s Kinetic energy = 1/2 Mv^2 = 1/2 * 45 * 3^2 = 1/2 * 45 * 9 = 202.5 J 3) Mass M = 1500 kg Speed v = 108 km/h = 108 * 1000/3600 m/s = 30 m/s Kinetic energy = 1/2 Mv^2 = 1/2 * 1500 * 30^2 = 1/2 * 1500 * 900 = 675,000 J 4) I do not know why you posted this question. This is just like question (1), only values are different. Anyway, Mass M = 1600 kg Speed v = 12.5 m/s Kinetic energy = 1/2 Mv^2 = 1/2 * 1600 * 12.5^2 = 1/2 * 1600 * 156.