Practice Problems Momentum and Energy

Directions: On this worksheet you will be investigating the relationships between momentum and energy.

 Question 1  If Fmax = 16 N and Fmin = -11 N then calculate the impulse delivered to a 5-kg mass during the 5 seconds graphed above. 43.5 N sec-0.5 N sec-1 N sec32.5 N sec-11.5 N sec
 Question 2  If the object's initial velocity in Question 1 was 8.3 m/sec, what will be its final velocity at the end of these 5 seconds? 8.2 m/sec41 m/sec-8.4 m/sec1.6 m/sec6 m/sec
 Question 3  What was the magnitude of the average force acting on the 5-kg mass in Question 1 during the 5 seconds displayed on the graph? -2.3 N-2.5 N6.5 N2.5 N-0.1 N
 Question 4  A 8.3-gram bullet moving at 270 m/sec travels through a block of wood and emerges out the other side moving at 200 m/sec. If it takes 27.4 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? 8.18 x 104 N6.06 x 104 N-2.12 x 104 N1.42 x 106 N
 Question 5  During target practice, a man shoots a 8.3-gram bullet with a horizontal velocity of 200 m/sec at a 2.5-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? 199.34 m/sec80 m/sec0.104 m/sec0.66 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 m0.94 m0.67 m0.31 m0.15 m
 Question 7  A second 8.3-gram bullet is fired at another 2.5-kg block which is initially at rest on a table. The bullet embeds in the block resulting in the block sliding 172 centimeters before coming to a stop. The coefficient of friction between the block and the table's surface is µ = 0.38.How much work will the friction between the table and block do on the block while bringing it to a stop? 16.1 J9.3 J5.4 J65.4 J42.3 J
 Question 8  How fast was the original bullet in Question 7 travelling before it struck the block? 805 m/sec466.2 m/sec291.4 m/sec358.3 m/sec1082.8 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?
 Question 10  Within the system, what fraction of the 1-kg ball's original KE remains after the collision? 0.1980.4450.3120.80.64