Determine the kinetic energy of a 575-kg roller coaster car that is moving with a speed of 16.0 m/s. __ J What is the kinetic energy if the coaster was moving at twice the speed? ___ J The kinetic energy now is ___ times greater.
KE at 16m/s ========== Givens ===== m = 575 kg v = 16 m/s
Formula ====== KE = 1/2 m* v^2
KE = 1/2 575 * 16^2 KE = 73600
Second Question ============= m = 575 v = 32 m/s
KE = 1/2 mv^2 KE = 1/2 575 * 32^2 KE = 294400
Third Question =========== Ke2 = KE1 * k where k is the number of times greater the second is than the first. 294400 = k * 73600 k = 294400 / 73600 k = 4 So the KE of the second condition is 4 times the first.