While skidding with his shopping cart, Rock (mass = 78.5 kg) and the cart crash

Question

While skidding with his shopping cart, Rock (mass = 78.5 kg) and the cart crash into a supermarket employee, dressed as the supermarket mascot (a bear), with a mass of 92.0 kg. The employee was at rest before the interaction, and he is on frictionless rollerstakes (as all supermarket bears should be. Before the interaction, Rick and the cart were moving at 0.870 m/s to the West. Find the magnitude and direction of the combined velocity of Rick, the cart, and the bear. The cart has a mass of 94.0 kg.

Explanation / Answer

Here ,

mass , m = 78.5 Kg

m1 = 92 Kg

u = 0.87 m/s

mass of cart , m2 = 94 Kg
let the final combined velocity is v

Using conservation of momentum

(m + m1 + m2) * v = (m + m2) * u

(78.5 + 92 + 94) * v = (78.5 + 94) * 0.87

solving for v

v = 0.57 m/s west

the velocity of the combined mass is 0.57 m/s west

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