Question

1. change the simulation to make the collision inelastic by sliding the bar all the way to the left. (elasticity = 0%) 13. change the masses and velocities back to the original values and fill out the table. (2 pts)

	mass	velocity before the collision	momentum before the collision	velocity after the collision	momentum after the collision
ball 2 (pink)	1.5 kg	-0.5 m/s	-0.75 kg·m/s
total

momentum:

Explanation:

Step1: Recall conservation of momentum for in - elastic collision

In an in - elastic collision, the two objects stick together after the collision. The total momentum before the collision is equal to the total momentum after the collision. The formula for momentum is $p = mv$. The total momentum before the collision $p_{total - before}=p_1 + p_2$, where $p_1=m_1v_1$ and $p_2=m_2v_2$. Here, $m_1 = 0.5$ kg, $v_1=1.00$ m/s, $m_2 = 1.5$ kg, $v_2=- 0.5$ m/s. $p_1=m_1v_1=0.5\times1.00 = 0.50$ kg·m/s and $p_2=m_2v_2=1.5\times(-0.5)=-0.75$ kg·m/s. So, $p_{total - before}=0.50+( - 0.75)=-0.25$ kg·m/s.

Step2: Calculate velocity after collision

After the in - elastic collision, the two balls stick together, so the total mass $m_{total}=m_1 + m_2=0.5 + 1.5=2.0$ kg. Using the conservation of momentum $p_{total - before}=p_{total - after}$, and since $p_{total - after}=m_{total}v_{after}$, we can solve for $v_{after}$. $v_{after}=\frac{p_{total - before}}{m_{total}}=\frac{-0.25}{2.0}=-0.125$ m/s.

Step3: Calculate momentum after collision for each ball

Since they stick together, for ball 1 after the collision, $p_{1 - after}=m_1v_{after}=0.5\times(-0.125)=-0.0625$ kg·m/s. For ball 2 after the collision, $p_{2 - after}=m_2v_{after}=1.5\times(-0.125)=-0.1875$ kg·m/s.

	Mass	Velocity BEFORE the collision	Momentum BEFORE the collision	Velocity AFTER the collision	Momentum AFTER the collision
Ball 2 (pink)	1.5 kg	- 0.5 m/s	- 0.75 kg·m/s	- 0.125 m/s	- 0.1875 kg·m/s
Total Momentum:			- 0.25 kg·m/s		- 0.25 kg·m/s

Answer:

	Mass	Velocity BEFORE the collision	Momentum BEFORE the collision	Velocity AFTER the collision	Momentum AFTER the collision
Ball 2 (pink)	1.5 kg	- 0.5 m/s	- 0.75 kg·m/s	- 0.125 m/s	- 0.1875 kg·m/s
Total Momentum:			- 0.25 kg·m/s		- 0.25 kg·m/s