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

Question 1 If F_{max} = 18 N and F_{min} = -14 N then calculate the impulse delivered to a 2-kg mass during the 5 seconds graphed above.

53 N sec-3 N sec39 N sec-17 N sec-6 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 m/sec-8.5 m/sec-1.5 m/sec11 m/sec5.5 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?

2 N-15 N-3.4 N-0.6 N7.8 N

Question 4 A 7-gram bullet moving at 270 m/sec travels through a block of wood and emerges out the other side moving at 220 m/sec. If it takes 28.6 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?

-1.22 x 10^{4} N1.2 x 10^{6} N5.38 x 10^{4} N6.61 x 10^{4} N

Question 5 During target practice, a man shoots a 7-gram bullet with a horizontal velocity of 220 m/sec at a 1-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?

0.032 m/sec1.53 m/sec218.47 m/sec220 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?

1.17 m0.82 m0.44 m0.58 m0.83 m

Question 7 A second 7-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 174 centimeters before coming to a stop. The coefficient of friction between the block and the table's surface is µ = 0.369.How much work will the friction between the table and block do on the block while bringing it to a stop?

64.2 J17.2 J6.3 J2.1 J3.6 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 kg m/sec10.4 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?