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}
= 20 N and F
_{min}
= -11 N then calculate the impulse delivered to a 3-kg mass during the 5 seconds graphed above.
3.5 N sec
7 N sec
47.5 N sec
-7.5 N sec
36.5 N sec
Question 2
If the object's initial velocity in
Question 1
was 7.1 m/sec, what will be its final velocity at the end of these 5 seconds?
24.8 m/sec
3.5 m/sec
-5.9 m/sec
8.3 m/sec
4.6 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?
7.3 N
-1.5 N
17.5 N
0.7 N
4.5 N
Question 4
A 7.1-gram bullet moving at 270 m/sec travels through a block of wood and emerges out the other side moving at 210 m/sec. If it takes 29.5 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?
5.05 x 10
^{4}
N
6.5 x 10
^{4}
N
1.16 x 10
^{6}
N
-1.44 x 10
^{4}
N
Question 5
During target practice, a man shoots a 7.1-gram bullet with a horizontal velocity of 210 m/sec at a 1.5-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?
0.051 m/sec
140 m/sec
0.99 m/sec
209.01 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?
0.22 m
0.33 m
0.47 m
0.99 m
0.7 m
Question 7
A second 7.1-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 156 centimeters before coming to a stop. The coefficient of friction between the block and the table's surface is µ = 0.371.
How much work will the friction between the table and block do on the block while bringing it to a stop?
23 J
3.5 J
5.5 J
8.5 J
57.9 J
Question 8
How fast was the original bullet in
Question 7
travelling before it struck the block?
712.9 m/sec
233.7 m/sec
406.8 m/sec
335.9 m/sec
425 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 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?
15.2 kg m/sec
7 kg m/sec
5.5 kg m/sec
3 kg m/sec
7.6 kg m/sec
Question 10
Within the system, what fraction of the 1-kg ball's original KE remains after the collision?
0.445
0.198
0.8
0.64
0.312
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