The line which passes through the centers of two small masses, m₁ = 426 g and m₂ = 558 g, is parallel to the x axis. Initially mass m₂ is at rest, and mass m₁ is directed towards it with the velocity V₁,0 = (2.81 m/s) i, as shown. m₁ V1,f= V1.0 After colliding elastically, masses m₁ and m2 are both moving parallel to the x axis with velocities V₁ = V₁.fi and V2f = V2.fi, respectively, as shown in the second drawing. The proportionate lengths of the vectors may differ from what is shown. gino m₂ 000 What is the x component, in meters per second, of the final velocity of mass m₁? m/s mi ton 01.j m2 V2.f

The line which passes through the centers of two small masses, m₁ = 426 g and m₂ = 558 g, is parallel to the x axis. Initially mass m₂ is at rest, and mass m₁ is directed towards it with the velocity V₁,0 = (2.81 m/s) i, as shown. m₁ V1,f= V1.0 After colliding elastically, masses m₁ and m2 are both moving parallel to the x axis with velocities V₁ = V₁.fi and V2f = V2.fi, respectively, as shown in the second drawing. The proportionate lengths of the vectors may differ from what is shown. gino m₂ 000 What is the x component, in meters per second, of the final velocity of mass m₁? m/s mi ton 01.j m2 V2.f

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Ricardo, of mass 80 kg, and Carmelita, who is lighter, are enjoying Lake Merced at dusk in a 26 kg canoe. When the canoe is at rest in the placid water, they exchange seats, which are 3.0 m apart and symmetrically located with respect to the canoe's center. Ricardo notices that the canoe moves 47 cm horizontally relative to a pier post during the exchange and calculates Carmelita's mass. What is it?
In Figure (1), a 3.50 g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block 1 (mass 1.11 kg) and embeds itself in block 2 (mass 1.62 kg). The blocks end up with speeds v₁ = 0.600 m/s and v₂ = 1.50 m/s (see Figure (2)). Neglecting the material removed from block 1 by the bullet, find the speed of the bullet as it (a) leaves and (b) enters block 1. Frictionless (a) Number (b) Number Units Units (1) (2)
Two manned satellites approaching one another at a relative speed of 0.300 m/s intend to dock. The first has a mass of 2.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity? Adopt the reference frame in which the second satellite is initially at rest and assume that the positive direction is directed from the second satellite towards the first satellite.
What’s the center of mass for each situation?
An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 1.8 ✕ 10−27 kg,moves in the positive y-direction with speed v1 = 5.4 ✕ 106 m/s. Another particle, of mass m2 = 9.0 ✕ 10−27 kg, moves in the positive x-direction with speed v2 = 3.2 ✕ 106 m/s. Find the magnitude and direction of the velocity of the third particle. Answer the following:
Problem 3: A particle with mass ma = 3.00 kg is located at ra = (2.50 i + 3.50 j) m, and a second particle of mass m2B = 5.00 kg is located at rB = (1.50 i - 3.00 j) m. Find the location of the center of mass of the system relative to the point (1,1).
An object with total mass mtotal = 14.4 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.7 kg moves up and to the left at an angle of θ1 = 18° above the –x axis with a speed of v1 = 26 m/s. A second piece with mass m2 = 5.4 kg moves down and to the right an angle of θ2 = 23° to the right of the -y axis at a speed of v2 = 22.6 m/s. What is the x-component of the velocity of the third piece? What is the y-component of the velocity of the third piece? What is the magnitude of the velocity of the center of mass of the pieces after the collision? Calculate the increase in kinetic energy of the pieces during the explosion.
In the figure below, m1 3kg, m2= 4kg, and m3 = 8kg, and the scales on the axes are set by xs = 2m and ys = 2m. What are the x and y coordinates of the center of mass of the system?
3. Three asteroids coated with cosmic slime are moving in the same plane when they collide and stick together. Initially asteroid A has a mass of 2 x 107 kg and is moving to the right at a speed of 150 m/s, asteroid B has a mass of 3 × 107 kg and is moving at 50 m/s towards the lower left at an angle of 60° with respect to asteroid A, while asteroid C has a mass of 5 x 107 kg and is moving with an unknown speed and angle. After the collision, the resulting single asteroid is moving toward the right at a speed of 50 m/s. Determine the speed and angle of asteroid C prior to the collision.
An astronaut of mass 65.0 kg is at rest relative to her space vehicle with nothing behind her except the empty,dark, vacuum of space. Another astronaut decides to play a practical joke on her and throws a 10.0 kg anvil(because those are totally used in space) at her with a velocity of 3.00 m/s. How fast do she and the anvil moveonce she catches it? Just to lower your anxiety, there is a way for her to get back to the space vehicle
1) A toy car having mass m = 1.35 kg collides inelastically with a toy train of mass M = 3.70 kg.Before the collision, the toy train is moving in the positive x-direction with a velocity of Vi = 2.10 m/s and the toy car is also moving in the positive x-direction with a velocity of vi = 4.70 m/s. Immediately after the collision, the toy car is observed moving in the positive x-direction with a velocity of 2.05 m/s. (a) Determine Vf, the final velocity of the toy train. ____m/s(b) Determine the change ΔKE in the total kinetic energy. Assume friction and the rotation of the wheels are not important so that they do not affect ΔKE. ____J Question 6.1b:2) A block with mass M = 6.10 kg is sliding in the positive x-direction at Vi = 8.90 m/s on a frictionless surface when it collides elastically in one dimension with a stationary block with mass m = 1.40 kg. Determine the velocities, Vf and Vf of the objects after the collision. Vf= ___m/s Vf=___m/s
Two 1.9 kg bodies, A and B, collide. The velocities before the collision are v A= (14î + 34 j) m/s and v = (-15î + 9.0j) m/s. After the collision, v = (-7.oî + 16 j) m/s. (a) What is the final velocity of B? m/s (b) What is the change in the total kinetic energy (including sign)? 121.69 J The net external force on the two particle system is zero; thus, the net momentum of the system cannot change. The net momentum along the x axis before the collision must equal that after the collision. Same for the y axis. Use the definition of kinetic energy to find the total K before the collision and the total K after.