Object A has mass mA = 9 kg and initial momentum A,i = < 19, -7, 0 > kg · m/s, just before it strikes object B, which has mass mB = 12 kg. Just before the collision object B has initial momentum B,i = < 5, 6, 0 > kg · m/s.

Consider a system consisting of both objects A and B. What is the total initial momentum of this system, just before the collision?
Psys,i = < , , 0 > kg · m/s

The forces that A and B exert on each other are very large but last for a very short time. If we choose a time interval from just before to just after the collision, what is the approximate value of the impulse applied to the two-object system due to forces exerted on the system by objects outside the system?
Fnett = < , , > N

Therefore, what does the momentum principle predict that the total final momentum of the system will be, just after the collision?
P sys,f = < , , 0 > kg · m/s

Just after the collision, object A is observed to have momentum A,f = < 17, 3, 0 > kg · m/s. What is the momentum of object B just after the collision?
P b,f = < , , 0 > kg · m/s

At this point we've learned all that we can from applying the momentum principle. Next we'll see what additional information we can obtain by using the energy principle.
Before the collision, what was the magnitude of the momentum of object A?
|P a,i| = kg · m/s

Before the collision, what was the kinetic energy of object A? Remember that you can calculate kinetic energy not only from K = (1/2)m|v|2 but more directly from K = (1/2)|v|2/m.
K a,i = J

Before the collision, what was the magnitude of the momentum of object B?
|P b,i| = kg · m/s
Before the collision, what was the kinetic energy of object B?
K b,i = J

After the collision, what was the magnitude of the momentum of object A?
|P a,f| = 14 kg · m/s

After the collision, what was the kinetic energy of object A?
K a,f = J
After the collision, what was the magnitude of the momentum of object B?
|P b,f| = kg · m/s

After the collision, what was the kinetic energy of object B?
K b,f = J

Before the collision, what was the total kinetic energy of the system?
Ksys,i = KA,i + KB,i = J

After the collision, what was the total kinetic energy of the system?
Ksys,f = K a,f + K a ,f = J

What kind of collision was this? (Remember that an "elastic" collision is one where the final value of the total kinetic energy is equal to the initial value of the total kinetic energy.)
inelastic
elastic
not enough information to decide
.
Assume that all of the energy is either kinetic energy or thermal energy. Calculate the increase of thermal energy of the two objects.
EA,thermal + EB,thermal = J

What was the thermal transfer of energy (microscopic work) Q from the surroundings into the two-object system during the collision? (Remember that Q represents energy transfer due to a temperature difference between a system and its surroundings.)
Q = J

To find the total initial momentum of the system just before the collision, we need to add the initial momenta of objects A and B. The initial momentum of object A (mA) is given as <19, -7, 0> kg·m/s and the initial momentum of object B (mB) is given as <5, 6, 0> kg·m/s. Therefore, we have:

Psys,i = mA,i + mB,i = <19, -7, 0> + <5, 6, 0> = <24, -1, 0> kg·m/s

So, the total initial momentum of the system is Psys,i = <24, -1, 0> kg·m/s.

To find the impulse applied to the two-object system due to forces exerted on the system by objects outside the system, we need more information. The question does not provide any values for external forces or time interval. Therefore, we cannot calculate the exact value for Fnett.

Next, we are asked to predict the total final momentum of the system just after the collision using the momentum principle. However, we do not have enough information to make this prediction. The question does not provide any information about the forces and time interval during the collision. Without this information, we cannot determine the final momentum using the momentum principle.

After the collision, we are given the momentum of object A just after the collision as <17, 3, 0> kg·m/s. But we are not provided with the momentum of object B just after the collision. Therefore, we cannot determine the momentum of object B just after the collision.

Moving on to the energy principle, we are asked about the magnitude of the momentum and kinetic energy of objects A and B before and after the collision. The question does not provide any information about the velocities of the objects. We cannot calculate the velocities using momentum and kinetic energy equations without the velocity values.

Similarly, we cannot determine the total kinetic energy of the system before and after the collision without the velocity values.

Based on the given information, we cannot determine the type of collision (elastic, inelastic, or other) without knowing the velocities and kinetic energies before and after the collision.

Finally, we are asked to calculate the increase in thermal energy and the thermal transfer of energy (microscopic work) during the collision. However, without information about the specific heat capacities or temperature changes, we cannot calculate these values.