 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 = -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? 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