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

Question 1 If F_{max} = 17 N and F_{min} = -10 N then calculate the impulse delivered to a 2-kg mass during the 5 seconds graphed above.

32 N sec4 N sec42 N sec2 N sec-8 N sec

Question 2 If the object's initial velocity in Question 1 was 8.5 m/sec, what will be its final velocity at the end of these 5 seconds?

5.2 m/sec-7.5 m/sec9.5 m/sec19 m/sec4.5 m/sec

Question 3 What was the magnitude of the average force acting on the 2-kg mass in Question 1 during the 5 seconds displayed on the graph?

0.4 N-1.6 N6.4 N3.5 N10 N

Question 4 A 8.5-gram bullet moving at 260 m/sec travels through a block of wood and emerges out the other side moving at 220 m/sec. If it takes 28.2 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?

6.63 x 10^{4} N-1.21 x 10^{4} N1.45 x 10^{6} N7.84 x 10^{4} N

Question 5 During target practice, a man shoots a 8.5-gram bullet with a horizontal velocity of 220 m/sec at a 1-kg wooden block balanced on the top of a 1-meter tall fence post. If the bullet embeds in the block, how fast will the block-bullet be knocked off the post?

218.15 m/sec0.039 m/sec220 m/sec1.85 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?

0.38 m0.7 m0.59 m0.84 m0.99 m

Question 7 A second 8.5-gram bullet is fired at another 1-kg block which is initially at rest on a table. The bullet embeds in the block resulting in the block sliding 172 centimeters before coming to a stop. The coefficient of friction between the block and the table's surface is µ = 0.365.How much work will the friction between the table and block do on the block while bringing it to a stop?

2.1 J6.2 J62.8 J3.6 J17 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 10 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?

3 kg m/sec13.4 kg m/sec5 kg m/sec6 kg m/sec6.7 kg m/sec

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