Question

The 300 -kg and 400 -kg mine cars are rolling in opposite directions along the horizontal track with the respective speeds of $0.6 \mathrm{m} / \mathrm{s}$ and $0.3 \mathrm{m} / \mathrm{s}$. Upon impact the cars become coupled together, Just prior to impact, a 100 -kg boulder leaves the delivery chute with a velocity of $1.2 \mathrm{m} / \mathrm{s}$ in the direction shown and lands in the 300 -kg car. Calculate the velocity $v$ of the system after the boulder has come to rest relative to the car. Would the final velocity be the same if the cars were coupled before the boulder dropped?

          The 300 -kg and 400 -kg mine cars are rolling in opposite directions along the horizontal track with the respective speeds of $0.6 \mathrm{m} / \mathrm{s}$ and $0.3 \mathrm{m} / \mathrm{s}$. Upon impact the cars become coupled together, Just prior to impact, a 100 -kg boulder leaves the delivery chute with a velocity of $1.2 \mathrm{m} / \mathrm{s}$ in the direction shown and lands in the 300 -kg car. Calculate the velocity $v$ of the system after the boulder has come to rest relative to the car. Would the final velocity be the same if the cars were coupled before the boulder dropped?

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Added by Kevin V.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Anand Jangid

08/22/2023

Step 1

First, we need to find the initial momentum of the system before the boulder drops. The momentum of the 300-kg car is $300 \times 0.6 = 180 \, \text{kg} \cdot \text{m/s}$, and the momentum of the 400-kg car is $400 \times (-0.3) = -120 \, \text{kg} \cdot Show more…

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The 300 -kg and 400 -kg mine cars are rolling in opposite directions along the horizontal track with the respective speeds of $0.6 \mathrm{m} / \mathrm{s}$ and $0.3 \mathrm{m} / \mathrm{s}$. Upon impact the cars become coupled together, Just prior to impact, a 100 -kg boulder leaves the delivery chute with a velocity of $1.2 \mathrm{m} / \mathrm{s}$ in the direction shown and lands in the 300 -kg car. Calculate the velocity $v$ of the system after the boulder has come to rest relative to the car. Would the final velocity be the same if the cars were coupled before the boulder dropped?

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