Physics NYA Problem Set 9 Combination Problems Instructor: Maria Mastorakos 1. A blue puck with mass 4.0 kg sliding with a velocity of magnitude 2.0 m/s on a friction less horizontal table, makes a perfectly elastic head-on collision with a red puck with mass m, which is initially at rest. After the collision, the velocity of the blue puck is 0.5 m/s in the same direction as its initial velocity. a) Find the velocity (magnitude and direction) of the red puck after the collision b) Find the mass m of the red puck. 2. Ball A that has a of mass 2m rolls without slipping along a horizontal surface. It collides with Ball B that has a mass m and is also rolling without slipping. A and B have the same radius. Ball A is initially moving 1.5 m/s to the right while Ball B is moving 0.5 m/s to the left. After the collision, Ball B has a speed of 1.20 m/s moving to the right. If m = 2.00 kg, what is the change in kinetic energy for Ball A? 3. A wagon with boxes of gold having total mass 300 kg, is released from rest 50 m up a 6.0 slope. Dudley Do- Right (mass 75 kg) and his sidekick Ella (mass 60 kg) wait in a tree that is 40 m from the edged of the cliff. They drop vertically into the wagon as it passes beneath them. As soon as they drop into the wagon, they apply the brakes that creates a coefficient of kinetic friction of 0.08 between the wagon and the ground (you can assume the force of friction is negligible before the brakes are enabled). Do Dudley Do-Right and Ella 00 kg 40 m to clif have to jump out of the wagon while it is still moving, or will it stop before coming to the edges of the cliff? 4. A 4.00 kg ball starts with an unknown velocity at the top of a 3.0 m long, 36.9° incline and rolls without slipping. It collides 30m with the 3.0 kg block in a perfectly inelastic collision 2.5 meters from the spring. The block and ball then compress the spring until the spring exerts a 400 N force on the block/ball system. The F vs x graph shown is for the spring. The 369 25m coefficient of kinetic friction is 0.25 and once the ball sticks to the FO0 block, it does not roll. Ipall mr2 s00 400 a) What is the speed of the block right after it collides with the ball? 00 200 b) What is the initial speed of the ball at the top of the incline? Answers a) 2.5 m/s -2.56 J 1. b) 2.4 kg 2. a Yes, cart stops before edge (31 m from tree) a) 7.87 m/s 3. 4. b) 12.8 m/s

Physics NYA Problem Set 9 Combination Problems Instructor: Maria Mastorakos 1. A blue puck with mass 4.0 kg sliding with a velocity of magnitude 2.0 m/s on a friction less horizontal table, makes a perfectly elastic head-on collision with a red puck with mass m, which is initially at rest. After the collision, the velocity of the blue puck is 0.5 m/s in the same direction as its initial velocity. a) Find the velocity (magnitude and direction) of the red puck after the collision b) Find the mass m of the red puck. 2. Ball A that has a of mass 2m rolls without slipping along a horizontal surface. It collides with Ball B that has a mass m and is also rolling without slipping. A and B have the same radius. Ball A is initially moving 1.5 m/s to the right while Ball B is moving 0.5 m/s to the left. After the collision, Ball B has a speed of 1.20 m/s moving to the right. If m = 2.00 kg, what is the change in kinetic energy for Ball A? 3. A wagon with boxes of gold having total mass 300 kg, is released from rest 50 m up a 6.0 slope. Dudley Do- Right (mass 75 kg) and his sidekick Ella (mass 60 kg) wait in a tree that is 40 m from the edged of the cliff. They drop vertically into the wagon as it passes beneath them. As soon as they drop into the wagon, they apply the brakes that creates a coefficient of kinetic friction of 0.08 between the wagon and the ground (you can assume the force of friction is negligible before the brakes are enabled). Do Dudley Do-Right and Ella 00 kg 40 m to clif have to jump out of the wagon while it is still moving, or will it stop before coming to the edges of the cliff? 4. A 4.00 kg ball starts with an unknown velocity at the top of a 3.0 m long, 36.9° incline and rolls without slipping. It collides 30m with the 3.0 kg block in a perfectly inelastic collision 2.5 meters from the spring. The block and ball then compress the spring until the spring exerts a 400 N force on the block/ball system. The F vs x graph shown is for the spring. The 369 25m coefficient of kinetic friction is 0.25 and once the ball sticks to the FO0 block, it does not roll. Ipall mr2 s00 400 a) What is the speed of the block right after it collides with the ball? 00 200 b) What is the initial speed of the ball at the top of the incline? Answers a) 2.5 m/s -2.56 J 1. b) 2.4 kg 2. a Yes, cart stops before edge (31 m from tree) a) 7.87 m/s 3. 4. b) 12.8 m/s

Name: #3) A wagon with boxes of gold having total mass 300 kg, is released f
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Description: #3) A wagon with boxes of gold having total mass 300 kg, is released from rest 50 m up a 6.0° slope. Dudley Do- Right (mass 75 kg) and his sidekick Ella (mass 60 kg) wait in a tree that is 40 m from the edged of the cliff. They drop vertically into t