Question

Two carts, cart AA (mass 4.00 kgkg) and cart BB (mass 6.50 kgkg) move on a frictionless, horizontal track. Initially, cart BB is at rest and cart AA is moving toward it at 4.00 m/sm/s. The carts are equipped with ideal spring bumpers, meaning they conserve energy. The collision is head-on, so all motion before and after the collision is along a straight line. Let x x be the direction of the initial motion of cart AA.

Answer 1

`V{_a}'=-0.95m/s`

Step-by-step explanation:

From the question we are told that:

Mass of cart A
`m_a=4kg`

Mass of cart B
`m_a=6.50kg`

Speed of cart AA
`V-{a}=4.00`

Generally the equation for velocity of A after collision
`V{_a}'` is mathematically given by

`V_(a)'=(M_a-M_b)/(M_a+M+b) V_a`

`V{_a}'=(4-6.5)/(4+M6.5) *4`

`V{_a}'=(4-6.5)/(4+M6.5) *4`

`V{_a}'=-0.95m/s`