Momentum and Energy

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 sec2 N sec41 N sec1 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/sec8.5 m/sec-7.5 m/sec4.5 m/sec17 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 N6.2 N5 N3 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 10⁴ N1.39 x 10⁶ N7.41 x 10⁴ N-8.89 x 10³ 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/sec0.036 m/sec218.25 m/sec1.75 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 m0.79 m0.56 m0.99 m0.36 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 J2.2 J16.1 J59.7 J3.6 J

		Question 8 How fast was the original bullet in Question 7 travelling before it struck the block?
342.1 m/sec295 m/sec268.2 m/sec431.1 m/sec384.9 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/sec6 kg m/sec6.7 kg m/sec3 kg m/sec13.4 kg m/sec

		Question 10 Within the system, what fraction of the 1-kg ball's original KE remains after the collision?
0.3690.6970.2250.8350.474