Carts Collide Fvt

Carts Collide Fvt#

Cart 1 of mass \(m_1 = {{ params.m1 }} \rm{kg}\) collides with cart 2 of mass \(m_2 = {{ params.m2 }} \rm{kg}\). The figure below shows a pictoral representation of the two carts just before the collision and a graph of the \(x\)-component of the force exerted by cart 1 on cart 2 during the collision as a function of time.

On the top is a pictoral representation of cart 1 and cart 2 before the collision. Cart 1 travels along the positive x-direction toward cart 2, while cart 2 travels along the negative x-direction toward cart 1. On the bottom is a force versus time graph for the x-component of the force exerted by cart 1 on cart 2. The vertical axis is labelled force in newtons and the horizontal axis is labelled time in milliseconds. From 0 millisecond to 10 milliseconds, the force is 0 newtons. From 10 milliseconds to 12 milliseconds, the force increases linearly from 0 newtons to 30 newtons. From 12 milliseconds to 18 milliseconds, the force increases linearly from 30 newtons to 60 newtons. From 18 milliseconds to 24 milliseconds, the force decreases linearly from 60 newtons to 30 newtons. From 24 milliseconds to 26 milliseconds, the force decreases linearly from 30 newtons to 0 newtons.

Part 1#

On the force versus time graph, draw the \(x\)-component of the force exerted by cart 2 on cart 1 as a function of time. Do this by downloading the image (right-click \(\to\) save image as) and drawing on it. Upload your graph as a pdf titled “part1.pdf”. Be sure to label the curve you drew as \((F\_{\text{2 on 1}})\_x\) and fill in the numbers on the vertical axis.

Answer Section#

File upload box will be shown here.

Part 2#

Calculate the \(x\)-component of the impulse that cart 1 exerts on cart 2 \((I\_{\text{1 on 2}})\_x\) during this collision.

Answer Section#

Please enter in a numeric value in \(\rm{Ns}\).

Part 3#

What is the \(x\)-component of the impulse that cart 2 exerts on cart 1 \((I\_{\text{2 on 1}})\_x\) during this collision?

Answer Section#

Please enter in a numeric value in \(\rm{Ns}\).

Part 4#

By how much does the \(x\)-component of the momentum of cart 2, \(p\_{2x}\), change during this collision?

Answer Section#

Please enter in a numeric value in \(\rm{kg \cdot m/s}\).

Part 5#

By how much does the \(x\)-component of the momentum of cart 1 \(p\_{1x}\) change during this collision?

Answer Section#

Please enter in a numeric value in \(\rm{kg \cdot m/s}\).

Part 6#

What is the change in the \(x\)-component of the velocity of cart 2, \(v\_{2x}\), during this collision?

Answer Section#

Please enter in a numeric value in $\rm{m/s}.

Part 7#

What is the change in the \(x\)-component of the velocity of cart 1, \(v\_{1x}\), during this collision?

Answer Section#

Please enter in a numeric value in $\rm{m/s}.

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.