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

Question 1 If F_{max} = 16 N and F_{min} = -12 N then calculate the impulse delivered to a 3-kg mass during the 5 seconds graphed above.

34 N sec-2 N sec-14 N sec-4 N sec46 N sec

Question 2 If the object's initial velocity in Question 1 was 8.4 m/sec, what will be its final velocity at the end of these 5 seconds?

3.7 m/sec23.2 m/sec2.1 m/sec-9.1 m/sec7.7 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?

-0.4 N2 N-10 N-2.8 N6.8 N

Question 4 A 8.4-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 29.1 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?

6.35 x 10^{4} N8.08 x 10^{4} N1.44 x 10^{6} N-1.73 x 10^{4} N

Question 5 During target practice, a man shoots a 8.4-gram bullet with a horizontal velocity of 220 m/sec at a 1.5-kg wooden block balanced on the top of a 1.2-meter tall fence post. If the bullet embeds in the block, how fast will the block-bullet be knocked off the post?

1.23 m/sec146.67 m/sec0.057 m/sec218.77 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?

0.61 m0.43 m0.3 m1.08 m0.77 m

Question 7 A second 8.4-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 153 centimeters before coming to a stop. The coefficient of friction between the block and the table's surface is µ = 0.38.How much work will the friction between the table and block do on the block while bringing it to a stop?

3.7 J5.6 J58.1 J8.6 J22.6 J

Question 8 How fast was the original bullet in Question 7 travelling before it struck the block?

398 m/sec278 m/sec606.4 m/sec337.7 m/sec430 m/sec

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 12 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/sec8 kg m/sec17 kg m/sec6 kg m/sec8.5 kg m/sec

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