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

Question 1 If F_{max} = 18 N and F_{min} = -11 N then calculate the impulse delivered to a 4-kg mass during the 5 seconds graphed above.

3 N sec45.5 N sec1.5 N sec-9.5 N sec34.5 N sec

Question 2 If the object's initial velocity in Question 1 was 6 m/sec, what will be its final velocity at the end of these 5 seconds?

-5.6 m/sec25.5 m/sec6.4 m/sec3.6 m/sec1.9 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?

3.5 N6.9 N-1.9 N0.3 N7.5 N

Question 4 A 6-gram bullet moving at 280 m/sec travels through a block of wood and emerges out the other side moving at 230 m/sec. If it takes 27.9 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?

1.1 x 10^{6} N6.02 x 10^{4} N-1.08 x 10^{4} N4.95 x 10^{4} N

Question 5 During target practice, a man shoots a 6-gram bullet with a horizontal velocity of 230 m/sec at a 2-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?

0.052 m/sec229.31 m/sec0.69 m/sec115 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?

0.33 m0.15 m0.77 m0.23 m1.09 m

Question 7 A second 6-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 169 centimeters before coming to a stop. The coefficient of friction between the block and the table's surface is µ = 0.399.How much work will the friction between the table and block do on the block while bringing it to a stop?

33.2 J13.3 J7.8 J4.6 J67.4 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?

15.2 kg m/sec7.6 kg m/sec3 kg m/sec5.5 kg m/sec7 kg m/sec

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