Practice Problems
Momentum and Energy
Directions:
On this worksheet you will be investigating the relationships between momentum and energy.
Question 1
If F
max
= 17 N and F
min
= -11 N then calculate the impulse delivered to a 3-kg mass during the 5 seconds graphed above.
33.5 N sec
0.5 N sec
1 N sec
-10.5 N sec
44.5 N sec
Question 2
If the object's initial velocity in
Question 1
was 8.9 m/sec, what will be its final velocity at the end of these 5 seconds?
9.1 m/sec
27.2 m/sec
-8.7 m/sec
5.4 m/sec
3.1 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?
2.5 N
6.7 N
0.1 N
3 N
-2.1 N
Question 4
A 8.9-gram bullet moving at 290 m/sec travels through a block of wood and emerges out the other side moving at 240 m/sec. If it takes 29.3 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?
-1.52 x 10
4
N
7.29 x 10
4
N
8.81 x 10
4
N
1.61 x 10
6
N
Question 5
During target practice, a man shoots a 8.9-gram bullet with a horizontal velocity of 240 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?
160 m/sec
0.056 m/sec
1.42 m/sec
238.58 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?
1.13 m
0.32 m
0.48 m
0.67 m
0.8 m
Question 7
A second 8.9-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 173 centimeters before coming to a stop. The coefficient of friction between the block and the table's surface is µ = 0.391.
How much work will the friction between the table and block do on the block while bringing it to a stop?
10 J
25.6 J
3.3 J
67.6 J
5.8 J
Question 8
How fast was the original bullet in
Question 7
travelling before it struck the block?
364.1 m/sec
425.4 m/sec
500 m/sec
317.5 m/sec
617.2 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 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?
5.5 kg m/sec
7.6 kg m/sec
7 kg m/sec
3 kg m/sec
15.2 kg m/sec
Question 10
Within the system, what fraction of the 1-kg ball's original KE remains after the collision?
0.312
0.8
0.445
0.64
0.198
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