Three carts of masses m₁ = 4.50 kg, m₂ = 9.00 kg, and m3 = 3.00 kg move on a frictionless, horizontal track with speeds of V₁ = 4.00 m/s to the right, V₂= 3.00 m/s to the right, and V3 = 3.00 m/s to the left, as shown below. Velcro couplers make the carts stick together after colliding. M₁ 1₂ (a) Find the final velocity of the train of three carts. magnitude m/s direction --Select--- 1/3 (b) Does your answer require that all the carts collide and stick together at the same moment? O Yes O No What if they collide in a different order?
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- A spaceship, with a mass of 10000 kg, is traveling at a speed of v0 = 300 m/s. Suddenly, the engine explodes and the spaceship breaks into two separate pieces. The large engine piece contains 70% of the original mass, and moves away from the explosion at a speed of v1f=50m/s at an angle of 60◦,as shownWhat speed and in what direction is the smaller piece moving, which contains the cockpit and the astronauts?A tennis ball has a mass of 0.055 kg. A professional tennis player hits the ball hard enough to give it a speed of 52 m/s (about 117 miles per hour.) The ball moves toward the left, hits a wall and bounces straight back to the right with almost the same speed (52 m/s). As indicated in the diagram below, high-speed photography shows that the ball is crushed about d = 2.4 cm at the instant when its speed is momentarily zero, before rebounding. D Making the very rough approximation that the large force that the wall exerts on the ball is approximately constant during contact, determine the approximate magnitude of this force.A 0.00600 kg bullet traveling horizontally with speed 1.00 103 m/s strikes a 16.0 kg door, embedding itself 11.9 cm from the side opposite the hinges as shown in the figure below. The 1.00 m wide door is free to swing on its frictionless hinges. Imagine that the door is hanging vertically downward, hinged at the top, so that the figure is a side view of the door and bullet during the collision. What is the maximum height (in cm) that the bottom of the door will reach after the collision?
- A 309 g glass rolls down an incline and onto a horizontal platform where it hits a beverage can that is laying at rest on its side. The top of the incline is 11.0 cm above the horizontal platform. The beverage can is initially at rest and weighs 7.35 N. Which of following is the final velocity of the glass? Select one: a. 0.612 m / s b. −5.83 m / s c. −1.35 m / s d. −0.612 m / sA 60 g ball of clay traveling east horizontal at 5.0 m/s collides with a 40.0 g ball of clay traveling 30° south of west at 3.0 m/s. What are the speed and direction of the resulting .0 blob of clay?Two figure skaters, one weighing 625 N and the other 725 N, push off against each other on very smooth ice. a)If the heavier skater travels at 1.50 m/s, how fast will the lighter one travel? b)How much kinetic energy is "created" during the skaters' maneuver?
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