Directions: On this worksheet you will be investigating the relationships between momentum and energy.

Question 1
If F_{max} = 17 N and F_{min} = -14 N then calculate the impulse delivered to a 4-kg mass during the 5 seconds graphed above.

-4 N sec-18 N sec-8 N sec38 N sec52 N sec

Question 2
If the object's initial velocity in Question 1 was 7 m/sec, what will be its final velocity at the end of these 5 seconds?

2.5 m/sec-8 m/sec0.8 m/sec6 m/sec24 m/sec

Question 3
What was the magnitude of the average force acting on the 4-kg mass in Question 1 during the 5 seconds displayed on the graph?

1.5 N-20 N-0.8 N7.6 N-3.6 N

Question 4
A 7-gram bullet moving at 290 m/sec travels through a block of wood and emerges out the other side moving at 210 m/sec. If it takes 25.1 µsecs (1 µsec = 1 x 10^{-6} seconds) for the bullet to bore through the wood, what average force did the wood exert on the bullet?

-2.23 x 10^{4} N5.86 x 10^{4} N8.09 x 10^{4} N1.39 x 10^{6} N

Question 5
During target practice, a man shoots a 7-gram bullet with a horizontal velocity of 210 m/sec at a 2-kg wooden block balanced on the top of a 1.4-meter tall fence post. If the bullet embeds in the block, how fast will the block-bullet be knocked off the post?

209.27 m/sec105 m/sec0.067 m/sec0.73 m/sec

Question 6
After being knocked off, how far from the base of the fence post will the block in Question 5 hit the ground?

0.28 m0.39 m0.21 m0.79 m1.12 m

Question 7
A second 7-gram bullet is fired at another 2-kg block which is initially at rest on a table. The bullet embeds in the block resulting in the block sliding 167 centimeters before coming to a stop. The coefficient of friction between the block and the table's surface is µ = 0.396.How much work will the friction between the table and block do on the block while bringing it to a stop?

7.8 J4.7 J66.1 J32.8 J13 J

Question 8
How fast was the original bullet in Question 7 travelling before it struck the block?

Question 9
As shown in the diagrams provided below, a ball of mass 1 kg is originally moving along the x-axis with a velocity of 14 m/sec towards the origin. As it approaches the origin, it delivers a glancing blow to a stationary 2-kg mass. After the collision, the 1-kg ball continues traveling towards the left, into the second quadrant, at a reduced speed of 5 m/sec at an angle of 37º above the negative x-axis.

What is the final momentum of the 2-kg mass after the collision?

10.4 kg m/sec10 kg m/sec3 kg m/sec7 kg m/sec20.8 kg m/sec

Question 10
Within the system, what fraction of the 1-kg ball's original KE remains after the collision?