Three air carts have masses reading from left to right of m, 2m, and 4m. initial

Question

Three air carts have masses reading from left to right of m, 2m, and 4m. initially the right cart is at rest while the other two carts are moving with a speed of Vo. Tall carts have putty bumpers that give completely inelastic collision. find the final speed of the carts.

I am stuck with how to find the final speed of each cart. using conservation of momentum I got V final to be (3/7 Vo). I am assuming this value to be same for all three carts, but because one of the cart was at rest I am not sure. Sorry this is question 84 not 85. Thanks Three air carts have masses reading from left to right of m, 2m, and 4m. initially the right cart is at rest while the other two carts are moving with a speed of Vo. Tall carts have putty bumpers that give completely inelastic collision. find the final speed of the carts.

I am stuck with how to find the final speed of each cart. using conservation of momentum I got V final to be (3/7 Vo). I am assuming this value to be same for all three carts, but because one of the cart was at rest I am not sure. Sorry this is question 84 not 85. Thanks

Explanation / Answer

Given that the initial velocity of the cart of mass 4m is U = 0 m/s The initial velocity of the cart of mass m and 2m is U1 = Vo ------------------------------------------------------------------------------- Since the collision is inelastic the three masses are moving with same velicty. From conservation of momentum m(Vo) + 2m(Vo) + 4m( 0 ) = (m + 2m + 4m)V 3m(Vo) = 7m(V) V = 3Vo / 7 This is the final speed of the each mass (Three masses moving as a single body)

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