**Problem Description:**Two titanium spheres approach each other head-on with the same speed and collide elastically. After the collision, one of the spheres, whose mass is 350 g, remains at rest. **(a)** What is the mass of the other sphere? **(b)** What is the speed of the two-sphere center of mass if the initial speed of each sphere is 1.0 m/s? **Analysis:**This problem involves the principles of elastic collision and the conservation of momentum. The known variables include the mass of one sphere being 350 g and its post-collision speed being 0. The initial speed of both spheres is given as 1.0 m/s. To solve the problem, apply the conservation of momentum and kinetic energy, considering one sphere comes to rest.

Answered: Image /qna-images/answer/71e64d88-60bd-4b08-8902-ac2adf68b6b8.jpg

Two titanium spheres approach each other head-on with the same speed and collide elastically. After the collision, one of the spheres, whose mass is 350 g, remains at rest. (a) What is the mass of the other sphere? (b) What is the speed of the two-sphere center of mass if the initial speed of each sphere is 1.0 m/s?

Two titanium spheres approach each other head-on with the same speed and collide elastically. After the collision, one of the spheres, whose mass is 350 g, remains at rest. (a) What is the mass of the other sphere? (b) What is the speed of the two-sphere center of mass if the initial speed of each sphere is 1.0 m/s?

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

One object is at rest, and another is moving. The two collide in a one-dimensional, completely inelastic collision. In other words, they stick together after the collision and move off with a common velocity. Momentum is conserved. The speed of the object that is moving initially is 29 m/s. The masses of the two objects are 2.8 and 8.8 kg. Determine the final speed of the two-object system after the collision for the case (a) when the large-mass object is the one moving initially and the case (b) when the small-mass object is the one moving initially.
Two objects, both with a mass of 1.91 kg are sliding across a horizontal, frictionless surface toward each other. If mass 1 has an initial velocity of 3.5 m/s i and mass 2 has an initial velocity of -2.46 m/s i, what is the change in total kinetic energy if they undergo a perfectly inelastic collision? Assume that total momentum is conserved.
A 5.3 kg sphere makes a perfectly inelastic collision with a second sphere initially at rest (they stick together after the collision). The composite system moves with a speed equal to one third the original speed of the 5.3 kg sphere. What is the mass of the second sphere?
A particle of mass m1 undergoes a one-dimensional elastic collision with a particle of mass m2 = 2m1 that is initially at rest. If particle 2 recoils at speed v2 = 1200 m/s, what is the speed of particle 1 before the collision?
Two objects, both with a mass of 1.92 kg are sliding across a horizontal, frictionless surface toward each other. If mass 1 has an initial velocity of 3.79 m/s i and mass 2 has an initial velocity of -2.39 m/s i, what is the change in total kinetic energy if they undergo a perfectly inelastic collision? Assume that total momentum is conserved.
A fast car is speeding down a road with a velocity of v. It collides with a truck moving in the opposite direction that has a mass that is four times that of the fast car. They are both moving at the same speed. If the collision is elastic, then what are both of the vehicles velocities given as multiples of v.
A particle of mass m₁ and velocity v₁ hits the stationary particle of mass m2. After the collision, the outgoing speeds of these particles are equal. Considering elastic collision what is the angle between velocities of the particles after collision? Mass m₁ = 2m2.
A 55.0 kg boy runs at a speed of 16.0m/s and jumps onto a cart that is initially at rest. The boy and the cart then move off together at a speed of 2.50m/s. What is the mass of the cart?
A 100 kg astronaut A is moving at a velocity of 9 m/s and runs into a stationary astronaut B (mass = 150 kg). If this is an inelastic collision, what is the velocity of the astronaut B after the collision?
Two titanium spheres approach each other head-on with the same speed and collide elastically. After the collision, one of the spheres, whose mass is 480 g, remains at rest. (a) What is the mass of the other sphere? (b) What is the speed of the two-sphere center of mass if the initial speed of each sphere is 4.7 m/s?
A railroad car of mass 2500 kg is moving with a speed of 4 m/s. It collides and couples with another railroadcar of the same mass as it moves in the same direction with an initial speed of 2 m/s.a) What is the speed of the two cars after the collision? ?b) If the collision happened within 0.02s, how big is the force impacted on each car?
A railroad car of mass 2.55 × 104 kg moving at 2.85 m/s collides and couples with two coupled railroad cars, each of the sam mass as the single car and moving in the same direction at 1.20 m/s. (a) What is the speed of the three coupled cars after the collision? 1.75 m/s (b) How much kinetic energy is lost in the collision?