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

Question 1 If F_{max} = 20 N and F_{min} = -11 N then calculate the impulse delivered to a 4-kg mass during the 5 seconds graphed above.

3.5 N sec47.5 N sec-7.5 N sec36.5 N sec7 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?

-6.1 m/sec2.6 m/sec7.9 m/sec5.1 m/sec31.5 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?

7.3 N4.5 N17.5 N0.7 N-1.5 N

Question 4 A 7-gram bullet moving at 260 m/sec travels through a block of wood and emerges out the other side moving at 230 m/sec. If it takes 26 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?

-8.08 x 10^{3} N1.32 x 10^{6} N6.19 x 10^{4} N7 x 10^{4} N

Question 5 During target practice, a man shoots a 7-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?

229.2 m/sec115 m/sec0.061 m/sec0.8 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?

1.09 m0.27 m0.77 m0.38 m0.18 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 152 centimeters before coming to a stop. The coefficient of friction between the block and the table's surface is µ = 0.384.How much work will the friction between the table and block do on the block while bringing it to a stop?

58.4 J29.9 J7.6 J11.5 J5 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?

7 kg m/sec7.6 kg m/sec3 kg m/sec15.2 kg m/sec5.5 kg m/sec

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