[Homework Home > Conservation_of_Momentum]

[1]A cannon, whose mass is M= kg fires a cannon ball in a horizontal direction. The cannon ball has a mass of m= kg and is fired toward the right with a velocity of v= m/s . With what speed does the cannon recoil to the left?

[2]A man with a mass of M= kg is riding down the road on a cart that has a mass of m= kg . When he and the cart are going m/s , he suddenly jumps off in such a way that he has zero horizontal velocity. How fast is the cart moving after he jumps off?

[3]A car of mass m1= kg is at rest at a traffic light (the car on the right). Along comes a car (the left car) with mass m2= kg and initial speed v2i= m/s and hits the car at rest. There is a big crash, and the two cars end up sticking together after the collision.

What speed does the "big mess of two cars stuck together" have after the collision?

[4]Two blocks, one of mass m1= kg and the other of mass m2= kg are attached with a rope, as shown. Between them is a spring compressed by a distance d= meters . The spring has a spring constant k= N/m . Suddenly, the rope breaks, and the spring quickly expands, pushing m1 to the left with speed v1 and m2 to the right with speed v2. What are v1 and v2?

[5]Two cars, one with mass m1= kg and the other with mass m2= kg crash in an intersection, as shown here.

Before the crash, car m1 was headed East with a speed v1i= m/s and car m2 was headed North with a speed v2i= m/s .

After the crash, the cars stick together. What is the speed of the 2-car wreck after the collision, and with what angle, \theta, does it leave the crash point?

[6]A rubber ball of mass m1= kg is moving to the right with speed v= m/s . It collides elastically with another ball of mass m2= kg , which is sitting at rest. m2 is larger than m1. What are the speeds of the balls, v1 and v2, after the collision?

[7]A block of mass m1= kg is on a curved track, a distance h= m above the ground as shown here. When released, it slides down the track and collides elastically with another block of mass m2= kg , which is sitting at rest. m2 is larger than m1. This means that m1 will bounce back in the direction from which it came after the collision. How far back up the track will m1 bounce after the collision?

[8]A bullet with a mass of mb= kg is speeding toward a block of mass m= kg . The bullet is moving at speed vb= m/s and the block is at rest.

The bullet collides with the block, embeds itself into the block, and knocks the block over the edge. The edge is a height h= m above the ground. How far from the edge does the block m (with the bullet inside) land?

[9]Here is a problem dealing with the most general form of an elastic collision (two things collide and bounce off of each other).

There is one car, call it car #1, moving toward the right. It has an initial speed v1i= m/s , and a mass of m1= kg .

There is another car, call it car #2. It can be moving, or not. Enter 0 if you want it at rest. Enter a + speed if you want it moving toward the right, or a - speed if you want it moving toward the left. The speed of car #2 is v2i= m/s and the mass of car #2 is m2= kg .

The problem here is to calculate what the speed of each car will be after the collision.

[10]A bullet moving with speed vb= m/s hits and embeds itself into a big wooden block of mass M= kg . The bullet has a mass of mb= kg . How far will the block rise after the bullet becomes embedded in it?