Answer:
1.35 m/s in the +x direction
Explanation:
Mass of can of coffee, m = 2.4 kg
Initial velocity of can of coffee, u = 1.5 m/s
Mass of box of macaroni, M = 1.2 kg
Initial velocity of box of macaroni, U = 0 m/s
Final velocity of can of coffee, v = 0.825 m/s
We can find the final velocity of the box of macaroni, V, by using the Principle of Conservation of momentum:
Total initial momentum = Total final momentum
Momentum is given as the product of mass and velocity. Hence:
mu + MU = mv + MV
(2.4 * 1.5) + (1.2 * 0) = (2.4 * 0.825) + (1.2 * V)
3.6 + 0 = 1.98 + 1.2V
1.2V = 3.6 - 1.98 = 1.62
=> V = 1.62/1.2
V = 1.35 m/s
The final velocity of the box of macaroni is 1.35 m/s and it is in the +x direction.
