Explanation:
Given that,
Mass of the shopping cart,
Initial speed of the shopping cart,
Mass of the box,
Initial speed of the box, (at rest)
They stick together and continue moving at a new velocity. It is a case of inelastic collision.
(a) The momentum of the shopping cart before the collision is given by :
(b) The momentum of the box before the collision is given by :
(c) The velocity of the combined shopping cart/box wreckage after the collision is given by using the conservation of momentum as :
Hence, this is the required solution.