# A cart of mass m, moving at a speed v, collides with a stationary cart of the same mass and adheres to it.

A cart of mass m, moving at a speed v, collides with a stationary cart of the same mass and adheres to it. The speed of the cart after interaction is …

Given:

m1 = m is the mass of the moving cart;

m2 = m is the mass of the stationary cart;

V is the speed of the moving cart.

It is required to find the speed of the carts after the inelastic interaction V1.

According to the law of conservation of momentum:

m1 * V = (m1 + m2) * V1

m * V = (m + m) * V1

m * V = 2 * m * V1

V = 2 * V1

V1 = V / 2.

Answer: the speed of the carts after interaction will be equal to V / 2.

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