College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- 2. How fast is a speeding bullet? The figure below shows a simple form of a ballistic pendulum, which is a system for measuring the speed of a bullet. The bullet, with mass mB, is fired into a block of wood with mass mw, suspended like a pendulum. a. The bullet makes a completely inelastic collision with the block, becoming embedded in it. After the impact, the block swings up to a maximum height h. What is the initial speed v; of the bullet? What becomes of its initial kinetic energy? Give the initial speed in terms of mB, mw, h, and any other physical constants necessary. b. If mB = 5.00 g, mw = 2.00 kg, h = 3.00 cm, what is the initial speed v; of the bullet? c. Using the values given in (b), what is the total kinetic energy of the system just before and just after impact? Explain why your answer makes sense. BEFORE COLLISION mg AFTER COLLISION mg + mw mw TOP OF SWINGarrow_forwardA car and a small truck traveling at right angles to one another with the same speed collide and stick together. The truck's mass is roughly twice the car's mass. Sketch the direction of their momentum vector immediately after the collision. Explain your result.arrow_forwardOne block of mass m_1=2.0 kg is sliding down along a frictionless ramp from a height of h=2.5 m. It then collides with another block of mass m_2=1 kg and after the collision the stick together. Then, both of the blocks slide together into a region where the coefficient of kinetic friction is 0.500 and comes to a stop after distance d m within that region. a. Find the velocity of the block of mass m1 at the bottom of the ramp. b. Find the velocity of the two-block at which they slide into the region with kinetic friction coefficient 0.500. c. Find the value of distance d at which they stoparrow_forward
- 1. In an experiment, you throw a rubber ball of mass m = 25.0 g onto a block of mass M = 250 g that is initially at rest at the edge of a table of height h = 0.98 m. (Figure) The ball bounces back with a speed of 1.01 m/s, and the block eventually lands at d = 1.02 m from the bottom of the table. What is the speed of the ball, right before it hits the block?arrow_forwardProblem 3: An egg with a mass m is dropped from rest from a height h and falls to the ground and breaks. Part (a) Write an expression for the magnitude of the net impulse imparted to the egg as it is stopped by the floor. Your expression will be in terms of m, h, and g. Neglect air resistance. Expression : J = Select from the variables below to write your expression. Note that all variables may not be required. B, y, 0, b, c, d, e, g, h, j, k, m, n, P, S Part (b) What is the numeric value for the magnitude of the impulse if m = 0.045 kg and h = 1.6 m Numeric : A numeric value is expected and not an expression. J =arrow_forwardO A 1,300-kg car is traveling at a speed of 10 m/s with respect to the ground when the driver accelerates to make a green light. The momentum of the car increases by 12,800 kg m/s. Draw a sketch showing the initial and final states of this scenario. List all the quantities you can determine using this information and determine three of those quantities.arrow_forward
- Quesitos: The drawing shows a bullet passing through two blocks that rest on a horizontal, frictionless surface. Rule out air resistance. The bullet completely passes through the first block and is buried in the second block. Notice that after the collision, both blocks move. Can the Conservation Principle be applied from Linear Momentum to this three-body system? Justify your answer (Ignore any loss of mass from the first block). Problem: A 4.00-g bullet moves horizontally with velocity of + 355m / s. The mass of the first block is 1150 g, and its velocity after the bullet passes through it it is +0.550 m / s. The mass of the second block is 1530 g. (a) Obtain the speed of the bullet after passing through the first block, (b) obtain the velocity of the second block after the bullet is buried in itarrow_forwardHow do I solve this problem step by step?arrow_forwardThree carts are moving on a frictionless horizontal track as shown in the figure. The 4.00 kg cart is moving to the right with a speed of 7.0 m/s, the 10.0 kg cart is also moving to the right with a speed of 6.0 m/s while the 3.00 kg cart moves to the left with a speed of 7 m/s. Find the final speed of the carts when they are all stuck together. Hint: The order at which the carts stick together does not matter. Can you see why?arrow_forward
- A package of mass mm is released from rest at a warehouse loading dock and slides down the hhh = 3.4 mm - high, frictionless chute to a waiting truck. Unfortunately, the truck driver went on a break without having removed the previous package, of mass 2m2m, from the bottom of the chute. Suppose the packages stick together. What is their common speed after the collision? I got the answer to be 2.7 m/s which is correct. Suppose the collision between the packages is perfectly elastic. To what height does the package of mass mm rebound?arrow_forward() THE FOLLOWING QUESTIONS ARE BASED ON THE INFORMATION GIVEN BELOW. Block m, of mass 15 kg moving with velocity v = 33 m/s on a frictionless plane collides block mg which is connected to block m3 by a long. massless spring with spring constant k = 7000 N/m: see the figure. Each of blocks mą and mg has a mass of 5 kg. Before the collision, blocks mą and mg are stationary and the spring is relaxed. m2 Frictionless - For parts A. B and Cassume that the collision of blocks m, and ma is completely inelastic. (Because the spring is relaxed before the collision. block mạ does not move at the instant of impact therefore (m, +m2) must move through a finite displacement before any force acts on mg and cause it to move) • For parts D and Eassume that the collision of blocks m, and m, is elastic. (Because the spring is relaxed before the collision. block my does not move at the instant of impact therefore mạ must move through a finite displacement before any force acts on mg and cause it to move)…arrow_forwardProblem: You are lead engineer on the design of a crash test apparatus that verifies collisions of varying types. A m = 2 kg mass, when suspended above from a light-weight wire of L = 1.5 m, is first released at an angle of 90°, and correspondingly a height h = L. The tethered ball swings toward the waiting block of M = 4 kg. collides, then rebounds back to an angle of 0 = 32°. In this case, the collision between m and M is elastic, which prompts M's rightwards motion a distance of Ax = 2.1 m, from which the coefficient of kinetic friction between the block and surface on which it is slid is determined. m L h 0 Marrow_forward
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