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
= -13 N then calculate the impulse delivered to a 4-kg mass during the 5 seconds graphed above.
-3.5 N sec
48.5 N sec
-16.5 N sec
-7 N sec
35.5 N sec
Question 2
If the object's initial velocity in
Question 1
was 6.1 m/sec, what will be its final velocity at the end of these 5 seconds?
2 m/sec
-7 m/sec
0.6 m/sec
5.2 m/sec
20.9 m/sec
Question 3
What was the magnitude of the average force acting on the 4-kg mass in
Question 1
during the 5 seconds displayed on the graph?
1.5 N
-0.7 N
7.1 N
-3.3 N
-17.5 N
Question 4
A 6.1-gram bullet moving at 280 m/sec travels through a block of wood and emerges out the other side moving at 230 m/sec. If it takes 27.9 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?
1.12 x 10
6
N
5.03 x 10
4
N
-1.09 x 10
4
N
6.12 x 10
4
N
Question 5
During target practice, a man shoots a 6.1-gram bullet with a horizontal velocity of 230 m/sec at a 2-kg wooden block balanced on the top of a 1.3-meter tall fence post. If the bullet embeds in the block, how fast will the block-bullet be knocked off the post?
115 m/sec
229.3 m/sec
0.7 m/sec
0.053 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?
0.84 m
0.36 m
1.18 m
0.25 m
0.19 m
Question 7
A second 6.1-gram bullet is fired at another 2-kg block which is initially at rest on a table. The bullet embeds in the block resulting in the block sliding 162 centimeters before coming to a stop. The coefficient of friction between the block and the table's surface is µ = 0.396.
How much work will the friction between the table and block do on the block while bringing it to a stop?
12.6 J
31.8 J
7.8 J
4.8 J
64.2 J
Question 8
How fast was the original bullet in
Question 7
travelling before it struck the block?
470.6 m/sec
211.9 m/sec
1165.6 m/sec
630 m/sec
354.4 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 13 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?
6.5 kg m/sec
9.5 kg m/sec
9 kg m/sec
19 kg m/sec
3 kg m/sec
Question 10
Within the system, what fraction of the 1-kg ball's original KE remains after the collision?
0.415
0.172
0.75
0.244
0.562
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