Practice Problems
Momentum and Energy
Directions:
On this worksheet you will be investigating the relationships between momentum and energy.
Question 1
If F
max
= 16 N and F
min
= -10 N then calculate the impulse delivered to a 2-kg mass during the 5 seconds graphed above.
31 N sec
-9 N sec
2 N sec
41 N sec
1 N sec
Question 2
If the object's initial velocity in
Question 1
was 8 m/sec, what will be its final velocity at the end of these 5 seconds?
3.5 m/sec
8.5 m/sec
-7.5 m/sec
4.5 m/sec
17 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?
0.2 N
-1.8 N
6.2 N
5 N
3 N
Question 4
A 8-gram bullet moving at 250 m/sec travels through a block of wood and emerges out the other side moving at 220 m/sec. If it takes 27 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?
6.52 x 10
4
N
1.39 x 10
6
N
7.41 x 10
4
N
-8.89 x 10
3
N
Question 5
During target practice, a man shoots a 8-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?
220 m/sec
0.036 m/sec
218.25 m/sec
1.75 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?
0.7 m
0.79 m
0.56 m
0.99 m
0.36 m
Question 7
A second 8-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 163 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?
5.9 J
2.2 J
16.1 J
59.7 J
3.6 J
Question 8
How fast was the original bullet in
Question 7
travelling before it struck the block?
342.1 m/sec
295 m/sec
268.2 m/sec
431.1 m/sec
384.9 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 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?
5 kg m/sec
6 kg m/sec
6.7 kg m/sec
3 kg m/sec
13.4 kg m/sec
Question 10
Within the system, what fraction of the 1-kg ball's original KE remains after the collision?
0.369
0.697
0.225
0.835
0.474
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