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

Question 1
If F_{max} = 17 N and F_{min} = -11 N then calculate the impulse delivered to a 3-kg mass during the 5 seconds graphed above.

0.5 N sec33.5 N sec1 N sec44.5 N sec-10.5 N sec

Question 2
If the object's initial velocity in Question 1 was 7.1 m/sec, what will be its final velocity at the end of these 5 seconds?

21.8 m/sec7.3 m/sec-6.9 m/sec2.5 m/sec3.6 m/sec

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

0.1 N-2.1 N6.7 N3 N2.5 N

Question 4
A 7.1-gram bullet moving at 280 m/sec travels through a block of wood and emerges out the other side moving at 220 m/sec. If it takes 29.9 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?

5.22 x 10^{4} N-1.42 x 10^{4} N1.19 x 10^{6} N6.65 x 10^{4} N

Question 5
During target practice, a man shoots a 7.1-gram bullet with a horizontal velocity of 220 m/sec at a 1.5-kg wooden block balanced on the top of a 1.1-meter tall fence post. If the bullet embeds in the block, how fast will the block-bullet be knocked off the post?

146.67 m/sec218.96 m/sec0.048 m/sec1.04 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?

0.73 m0.23 m0.35 m0.49 m1.04 m

Question 7
A second 7.1-gram bullet is fired at another 1.5-kg block which is initially at rest on a table. The bullet embeds in the block resulting in the block sliding 174 centimeters before coming to a stop. The coefficient of friction between the block and the table's surface is µ = 0.374.How much work will the friction between the table and block do on the block while bringing it to a stop?

25.7 J9.6 J5.5 J3.2 J65.1 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 11 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?

5.5 kg m/sec15.2 kg m/sec3 kg m/sec7 kg m/sec7.6 kg m/sec

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