Using the results of the previous two problems, prove that for this particular collision
Explain why it then follows that
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
- In an elastic collision of two particles with masses m1 and m2, the initial velocities are u1 and u2 = u1. If the initial kinetic energies of the two particles are equal, find the conditions on u1/u2 and m1/m2 such that m1 is at rest after the collision. Examine both cases for the sign of .arrow_forwardA particle of mass m moving along the x-axis with a velocity component +u collides head-on and sticks to a particle of mass m/3 moving along the x-axis with the velocity component −u. What is the mass M of the resulting particle?arrow_forwardFrom what might be a possible scene in the comic book The X-Men, the Juggernaut (mJ) is charging into Colossus (mC) and the two collide. The initial speed of the Juggernaut is vJi and the initial speed of Colossus is vCi. After the collision, the final speed of the Juggernaut is vJf and the final speed of Colossus is vCf as they each bounce off of the other, heading in opposite directions. a. What is the impulse experienced by the Juggernaut? b. What is the impulse experienced by Colossus? c. In your own words, explain how these impulses must compare with each other and how they are related to the average force each superhero experiences during the collision.arrow_forward
- Check Your Understanding Would the ball’s change of momentum have been larger, smaller, or the same, if it had collided with the floor and stopped (without bouncing)? Would the ball’s change of momentum have been larger, smaller, or the same, if it had collided with the floor and stopped (without bouncing)?arrow_forwardA hockey puck of mass 150 g is sliding due east on a frictionless table with a speed of 10 m/s. Suddenly, a constant force of magnitude 5 N and direction due north is applied to the puck for 1.5 s. Find the north and east components of the momentum at the end of the 1.3-s interval.arrow_forwardTwo particles of masses m1 and m2 , move uniformly in different circles of radii R1 and R2 R2 about origin in the x, y-plane. The x- and y-coordinates of the center of mass and that of particle 1 are given as follows (where length is in meters and tin seconds): x1(t)=4cos(2t) , y1(t)=4sin(2t) and: xCM(t)=4cos(2t) , yCM(t)=3sin(2t) . a. Find the radius of the circle in which particle 1 moves. b. Find the x- and y-coordinates of particle 2 and the radius of the circle this particle moves.arrow_forward
- (VA)1=5 m/s (Vg)₁ = 2 m/s B Disk A has a mass of 2 kg and is sliding forward on the smooth surface with velocity 5 m/s when it strikes a 4-kg disk B, which is sliding towards A at a velocity of 2 m/s with direct central impact. If the coefficient of restitution between the disks is e = 0.6, compute the velocities of A and B just after the collision. Velocity of A and B: Aarrow_forward(The complete question is in the picture) A puck of mass mA that is moving along the +x axis with speed va collides with another puck of mass mB = 2mA. The collision is not head-on, so that after they collide, mB is located at 45◦south of east, while mA collides head-on elastically with a stationary puck of mass mC = 3mA. If, after the second collision, the final velocity of mC is 0.450 [m/s], 25◦ north of east, what is the initial speed va?A. 0.540 [m/s]B. 1.80 [m/s]C. 1.20 [m/s]D. 0.900 [m/s]arrow_forwardTwo billiard balls A and B move towards each other with velocity v, and v,. The two balls B have masses m and m, respectively. If the balls collided elastically, in terms of the A B given variables, what is the velocity of each ball after collision?arrow_forward
- Two solid iron spheres of masses m and 2m respectively, are suspended from two inextensible ropes of length l. We separate the ball of mass m from its equilibrium position at an angle α, keeping the string extended in the same plane. The mass is released and collides elastically with the sphere of mass 2m. The speed of the sphere sphere of mass m immediately after the collision is:arrow_forwardFor an isolated system where two masses collide in two dimensions (2D), check all TRUE statements: Piy = Pfy %3D J = 0, since the x and y components cancel each other out. If the masses collide in 2D, the collision must be inelastic. Pfx =Pix If the collision is inelastic, the final momentum, Pf, can be derived by the vector addition of the momentum vectors of the two masses prior to collision.arrow_forwardA 5 kg block moving along a frictionless surface at 2 m/s to the right collides with a 10 kg block moving to the left at 5 m/s. Determine their velocities after collision if a) they stick together after collision; b) the collision is elastic; and c) the collision is inelastic wherein the coefficient of restitution is 0.8. How much kinetic energy is lost in this particular collision?arrow_forward
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning