Physics 231 Set 5 Falling Diver 1.) A 93.0 kg diver falls from rest into a swimming pool from a height of 4.50 m. It takes 1.70 s for the diver to stop after entering the water. Find the magnitude of the average force exerted on the diver during that time. Passenger in a car (2 parts) 2a.) A car is stopped for a traffic signal. When the light turns green, the car accelerates, increasing its speed from zero to 7.53 m/s in 4.16 s. What is the magnitude of the linear impulse experienced by a 65.5 kg passenger in the car during this time? 2b.) What is the average force experienced by the passenger? Speed of a golf ball 3.) High speed stroboscopic photographs show that the head of a 191 g golf club is traveling at 55.6 m/s just before it strikes a 46.6 g golf ball at rest on a tee. After the collision, the club head travels (in the same direction) at 44.5 m/s. Find the speed of the golf ball just after impact. 4) Superman Stopping a train (3 parts) a.)Find the speed at which Superman (mass=89.0 kg) must fly into a train (mass = 17323 kg) traveling at 65.0 km/hr to stop it. b.) Running into the train at that speed would severely damage both train and passengers. Calculate the minimum time Superman must take to stop the train, if the passengers experience an average horizontal force of 0.420 their own weight. c.) How far does the train then travel while being slowed to a stop? MSU Football 5.) An MSU linebacker of mass 113.0 kg sacks a UM quarterback of mass 94.0 kg. Just after they collide, they are momentarily stuck together, and both are moving at a speed of 3.10 m/s. If the quarterback was at rest just before he was sacked, how fast was the linebacker moving just before the collision? Perfectly inelastic collision of two spheres 6.) A 4.31 kg sphere makes a perfectly inelastic collision with a second sphere that is initially at rest. The composite system moves with a speed equal to one third the original speed of the 4.31 kg sphere. What is the mass of the second sphere? Bullet fired into a block (3 parts) 7.) An m = 7.04 g bullet is fired into a 375 g block that is initially at rest at the edge of a table of h = 1.03 m height as shown in the figure. a.) The bullet remains in the block, and after the impact the block lands d = 2.18 m from the bottom of the table. How much time does it take the block to reach the ground once it flies off the edge of the table? b.)What is the initial horizontal velocity of the block as it flies off the table? c.)Determine the initial speed of the bullet. Walking on a plank on an icy lake (2 parts 8a.) A 49.1 kg girl is standing on a 149 kg plank. The plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. The girl begins to walk along the plank at a constant velocity of 1.73 m/s relative to the plank. What is her velocity relative to the ice surface? 8b.) What is the velocity of the plank relative to the ice surface? Serway_P06-40 (4 parts) 9a.) A billiard ball rolling across a table to the right at 1.4 m/s makes a head-on elastic collision with an identical ball. The mass of a billiard ball is 38 g. If the second ball is initially at rest, what is the velocity of the first ball after the collision? 9b.) If the second ball is initially at rest, what is the velocity of the second ball after the collision? 9c.) If the second ball is initially moving to the left with a velocity of -0.7 m/s, what is the velocity of the first ball after the collision? 9d.) If the second ball is initially moving to the left with a velocity of -0.7 m/s, what is the velocity of the second ball after the collision? Railroad Car 10.) A railroad car of mass 27500 kg is released from rest in a railway switchyard and rolls to the bottom of a slope Hi =10.2 m below its original height. At the low point, it collides with and sticks to another car of mass 19500 kg. The two cars roll together up another slope and climb up to a height Hf above the low point, where they come to a stop before rolling back. Ignore the effects of friction and calculate Hf in m. 11.) MomentumEnergyConcept The mass m1 enters from the left with velocity v0 and strikes a mass m2 > m1 which is initially at rest. The collision between the blocks is perfectly elastic. The mass m2 then compresses the spring an amount x. The maximum energy stored in the spring is ...... the initial energy of m1. Immediately after the collision, the momentum of m2 is ....... the initial momentum of m1. Immediately after colliding with m2, the mass m1 stops and has zero velocity. Immediately after the collision, the energy of m2 is ...... the initial energy of m1. Serway_P06-35 (2 parts) 12a.) A 5.3-g object moving to the right at 34 cm/s makes an elastic head-on collision with a 10.6-g object that is initially at rest. What is the velocity of the 5.3-g mass after the collision? 12b.) What fraction of the initial kinetic energy was transferred to the 10.6-g block? Serway_P06-05 (2 parts) 13a.) A pitcher claims he can throw a 0.145-kg baseball with as much momentum as a 3.5-g bullet moving with a speed of 1.65 x 103 m/s. What must the baseball's speed be if the pitcher's claim is valid? 13b.) With what speed must the pitcher throw the ball to equal the kinetic energy of the bullet? 14.) Flatcar A man of mass M1 = 118 kg is standing on a M2 = 5220 kg railroad flatcar that rolls without friction to the right with speed 3.4 m/s. Calculate the change in velocity (in m/s) of the flatcar, if the man runs to the left so that his speed relative to the original velocity of the car is 6 m/s. 15.) Automatic Weapon An automatic weapon can fire 72 bullets per minute at V = 250 m/s. If each bullet has a mass M = 50 g, what is the average force in N on the shoulder of the Marine shooting the weapon?
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