**(1)**

The kinetic energy is not conserved. The linear momentum is conserved. The magnitude of the momentum as a scalar may not be conserved depending on the direction of the initial velocity. That is, if the two objects are approaching from opposite directions, the magnitude after the collision will be the difference of the initial momenta.

In this problem we will consider a collision of two moving objects such that after the collision, the objects stick together and travel off as a single unit. The collision is therefore completely inelastic.

You have probably learned that "momentum is conserved" in an inelastic collision. But how does this fact help you to solve collision problems? The following questions should help you to clarify the meaning and implications of the statement "momentum is conserved."

1) What physical quantities are conserved in this collision?

a) the magnitude of the momentum only

b) the net momentum (considered as a vector) only

c) the momentum of each object considered individually

2) Two cars of equal mass collide inelastically and stick together after the collision. Before the collision, their speeds are V_{1} and V_{2}. What is the speed of the two-car system after the collision?

a) V1+V2

b) V1-V2

c) V2-V1

d) (V1V2)^(1/2)

e) (1/2)(V1+V2)

f) (V1+V2)^(1/2)

g)The answer depends on the directions in which the cars were moving before the collision.

3) Two cars collide inelastically and stick together after the collision. Before the collision, the magnitudes of their momenta are P1 and P2. After the collision, what is the magnitude of their combined momentum?

a) P1+P2

b) P1-P2

c) P2-P1

d) (P1P2)^(1/2)

e) (1/2)(P1+P2)

f) (P1+P2)^(1/2)

g) The answer depends on the directions in which the cars were moving before the collision.

4) Two cars collide inelastically and stick together after the collision. Before the collision, their momenta are p1 and p2. After the collision, their combined momentum is vector p. Of what can one be certain?

a) Vector P= p1+p2

b) Vector P= p1-p2

c) Vector P= p2-p1

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Completely Inelastic Collisions concept. You can view video lessons to learn Completely Inelastic Collisions. Or if you need more Completely Inelastic Collisions practice, you can also practice Completely Inelastic Collisions practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Slifer's class at UNH.