Question

consider the example data provided to complete the sentences. after colliding, g1 + g2 travels in a(n) blank direction as g1 travels before the collision, but at about blank the magnitude in velocity. the initial momentum of g2 (the magnitude or absolute value) is greater than g1 because its blank is greater than g1. the percent difference between the total momentum before and after the collision is blank%.

Explanation:

Step1: Analyze velocity direction

The velocity of G1 before collision is positive (3.00 m/s) and the velocity of G1 + G2 after collision is negative (- 0.69 m/s), so they travel in the opposite direction.

Step2: Analyze velocity magnitude ratio

The magnitude of velocity of G1 before collision is 3.00 m/s and of G1 + G2 after collision is 0.69 m/s. $\frac{0.69}{3.00}\approx0.23$, so it is about one - fourth the magnitude in velocity.

Step3: Analyze momentum

Momentum $P = mv$. Since $P_G1=1.50\ kg\cdot m/s$ and $P_G2 = 2.40\ kg\cdot m/s$ and $m_G1 = 0.5\ kg$, $m_G2=0.8\ kg$, and $v_G1 = 3.00\ m/s$, $v_G2=-3.00\ m/s$. The initial momentum of G2 is greater than G1 because its mass times the magnitude of velocity product is greater. Here mass of G2 is greater than G1 while the magnitudes of their velocities are the same.

Step4: Calculate percent - difference in momentum

The total momentum before collision $P_{before}=P_G1 + P_G2=1.50+( - 2.40)=- 0.90\ kg\cdot m/s$. The total momentum after collision $P_{after}=-0.90\ kg\cdot m/s$. The percent - difference formula is $\text{Percent Difference}=\frac{\vert P_{before}-P_{after}\vert}{\frac{P_{before} + P_{after}}{2}}\times100\%$. Since $P_{before}=P_{after}$, the percent - difference is $0\%$.

Answer:

After colliding, G1 + G2 travels in a(n) opposite direction as G1 travels before the collision, but at about one - fourth the magnitude in velocity.
The initial momentum of G2 (the magnitude or absolute value) is greater than G1 because its mass is greater than G1.
The percent difference between the total momentum before and after the collision is 0%.