Practice Problems
Momentum and Energy
Topics:
On this worksheet you will be investigating the relationships between impulse, work, energy, conservation of momentum in both one- and two-dimensions, and projectile motion.
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Question 1
If F
max
= 19 N and F
min
= -12 N then calculate the impulse delivered to a 2-kg mass during the 5 seconds graphed above.
49 N sec
1 N sec
37 N sec
-11 N sec
2 N sec
Question 2
If the object's initial velocity in
Question 1
was 7.7 m/sec, what will be its final velocity at the end of these 5 seconds?
16.4 m/sec
4.4 m/sec
2.2 m/sec
-7.2 m/sec
8.2 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?
-2.2 N
5 N
3.5 N
7.4 N
0.2 N
Question 4
A 7.7-gram bullet moving at 260 m/sec travels through a block of wood and emerges out the other side moving at 240 m/sec. If it takes 27.5 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?
6.72 x 10
4
N
7.28 x 10
4
N
-5.6 x 10
3
N
1.4 x 10
6
N
Question 5
During target practice, a man shoots a 7.7-gram bullet with a horizontal velocity of 240 m/sec at a 1-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?
1.83 m/sec
240 m/sec
0.032 m/sec
238.17 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?
0.64 m
1.18 m
0.45 m
0.91 m
0.83 m
Question 7
A second 7.7-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 170 centimeters before coming to a stop. The coefficient of friction between the block and the table's surface is µ = 0.352.
How much work will the friction between the table and block do on the block while bringing it to a stop?
3.5 J
2 J
59.8 J
5.9 J
16.8 J
Question 8
How fast was the original bullet in
Question 7
travelling before it struck the block?
295 m/sec
386.6 m/sec
342.2 m/sec
447.8 m/sec
258.2 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?
8.5 kg m/sec
8 kg m/sec
6 kg m/sec
3 kg m/sec
17 kg m/sec
Question 10
Within the system, what fraction of the 1-kg ball's original KE remains after the collision?
0.771
0.424
0.18
0.594
0.266
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