Question

Three cars, car X, car Y, and car Z, begin accelerating from rest at the same time. Car X is more massive than car Y, which is more massive than car Z. the net accelerating force exerted on each car is identical. After 10 seconds, which car has the most amount of kinetic energy?

I understand all the cars have the same amount of momentum, but I'm not sure about the kinetic energy. Please help!

Answer 1

Let the mass of car & is mx, mass of cas y is my and mass of cas z is me. then given my > my > m₂ and net accelerating force on each can- Fx = mxax, fy = my ay and E = mzaz according to question- x = Fy = F = F so F = mx ax ax = 1 E = my ay ay = 1 and F = m az ax = 1 h since we know that first equation v= ut at here U =0 w 30 v= at since t= 10 sec. en & -axt = 108 y = agt = OF of motion- then mx my and I = azt = 10F mz

mx 50 F2 since we know that kinetic energy- K.E= 1 m 2 so kinetic energy of each can- K.Ex = mx ( 10 ) k. Ex = 100mm F2 2 m2 - me K.Ey = – my ( 10 ) = song and K. Ez = 1 m ( loft) = SOF here kinetic energy of each cara since ma > my> m₂ so [k. Ex < K. Ey <k. Ez ] so can 2 has the most amount of kinetic energy. and Pome so P = mye (15 ) = 104 - Py = my (10) = 10F P2 = m2 ( 10 ) = 10F mass of each car momentum - so all the cars have the game amount of momentum.