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

Question 1
If F_{max} = 16 N and F_{min} = -14 N then calculate the impulse delivered to a 3-kg mass during the 5 seconds graphed above.

37 N sec-10 N sec51 N sec-19 N sec-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?

0.3 m/sec13 m/sec4.3 m/sec-0.3 m/sec-7.7 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?

-25 N-3.8 N7.4 N-1 N1 N

Question 4
A 6-gram bullet moving at 260 m/sec travels through a block of wood and emerges out the other side moving at 210 m/sec. If it takes 28.4 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?

9.93 x 10^{5} N-1.06 x 10^{4} N4.44 x 10^{4} N5.49 x 10^{4} N

Question 5
During target practice, a man shoots a 6-gram bullet with a horizontal velocity of 210 m/sec at a 1.5-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?

140 m/sec0.84 m/sec209.16 m/sec0.043 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?

0.79 m0.45 m1.12 m0.32 m0.24 m

Question 7
A second 6-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 168 centimeters before coming to a stop. The coefficient of friction between the block and the table's surface is µ = 0.366.How much work will the friction between the table and block do on the block while bringing it to a stop?

9.1 J5.4 J61.5 J24.8 J3.2 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?

7 kg m/sec20.8 kg m/sec3 kg m/sec10 kg m/sec10.4 kg m/sec

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