 Practice Problems Momentum and Energy

Directions: On this worksheet you will be investigating the relationships between momentum and energy. Question 1  If Fmax = 17 N and Fmin = -14 N then calculate the impulse delivered to a 4-kg mass during the 5 seconds graphed above. -4 N sec-18 N sec-8 N sec38 N sec52 N sec Question 2  If the object's initial velocity in Question 1 was 7 m/sec, what will be its final velocity at the end of these 5 seconds? 2.5 m/sec-8 m/sec0.8 m/sec6 m/sec24 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-20 N-0.8 N7.6 N-3.6 N Question 4  A 7-gram bullet moving at 290 m/sec travels through a block of wood and emerges out the other side moving at 210 m/sec. If it takes 25.1 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? -2.23 x 104 N5.86 x 104 N8.09 x 104 N1.39 x 106 N Question 5  During target practice, a man shoots a 7-gram bullet with a horizontal velocity of 210 m/sec at a 2-kg wooden block balanced on the top of a 1.4-meter tall fence post. If the bullet embeds in the block, how fast will the block-bullet be knocked off the post? 209.27 m/sec105 m/sec0.067 m/sec0.73 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? 0.28 m0.39 m0.21 m0.79 m1.12 m Question 7  A second 7-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 167 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? 7.8 J4.7 J66.1 J32.8 J13 J Question 8  How fast was the original bullet in Question 7 travelling before it struck the block? 650 m/sec246.9 m/sec1032 m/sec462.8 m/sec359.9 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 14 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? 0.210.1620.4030.5310.729