Classical Dynamics of Particles and Systems
5th Edition
ISBN: 9780534408961
Author: Stephen T. Thornton, Jerry B. Marion
Publisher: Cengage Learning
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In an elastic collision of particles, one particle is stationary and another one is moving to the particle at speed u. After colliding, particle 1 and 2 moves at two different velocity, say v1 and v2. Why is the angle between v1 and v2 must be 90 degrees if the resulting particles and the initial particles all have the same mass?
two particles collide in a totally inelastic way. if we know the masses m1 and m2, the angle a and the velocities before the collision v1 and v2. Find the speed of the particles after the collision.
A proton is travelling with velocity 1000 m/s in the positive x-direction. In a glancing elastic collision, it strikes a stationary proton.
Following the collision, both protons have the same speed.
Find the final speed of each proton, and the direction of the velocity vectors following the collision.
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- A 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_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_forward
- In a laboratory experiment, an electron with a kinetic energy of 50.5 keV is shot toward another electron initially at rest (Fig. P11.50). (1 eV = 1.602 1019 J) The collision is elastic. The initially moving electron is deflected by the collision. a. Is it possible for the initially stationary electron to remain at rest after the collision? Explain. b. The initially moving electron is detected at an angle of 40.0 from its original path. What is the speed of each electron after the collision? FIGURE P11.50arrow_forwardA proton with an initial speed of 2.00 108 m/s in the x direction collides elastically with another proton initially at rest. The first protons velocity after the collision is 1.64 108 m/s at an angle of 35.0 with the horizontal. What is the velocity of the second proton after the collision?arrow_forwardA cannon is rigidly attached to a carriage, which can move along horizontal rails but is connected to a post by a large spring, initially unstretchcd and with force constant k = 2.00 104 N/m, as shown in Figure P8.60. The cannon fires a 200-kg projectile at a velocity of 125 m/s directed 45.0 above the horizontal. (a) Assuming that the mass of the cannon and its carriage is 5 000 kg, find the recoil speed of the cannon. (b) Determine the maximum extension of the spring. (c) Find the maximum force the spring exerts on the carriage. (d) Consider the system consisting of the cannon, carriage, and projectile. Is the momentum of this system conserved during the firing? Why or why not?arrow_forward
- A 2-kg object moving to the right with a speed of 4 m/s makes a head-on, elastic collision with a 1-kg object that is initially at rest. The velocity of the 1-kg object after the collision is (a) greater than 4 m/s, (b) less than 4 m/s, (c) equal to 4 m/s, (d) zero, or (e) impossible to say based on the information provided.arrow_forwardA particle with mass mA is struck head-on by another particle with mass mB that is initially moving at speed v0. The collision is elastic. (a) What percentage of the original energy does each particle have after the collision? (b) For what values, if any, of the mass ratio mA/mB is the original kinetic energy shared equally by the two particles after the collision?arrow_forwardTwo particles of equal mass collide. Before the collision, particle A has initial velocity VA, while particle B is at rest. After the collision, the angle of deflection of particle A is 0,=30°. Assume, at first (in parts a and b), that the collision if elastic. (a) Find the angle of deflection of particle B. (b) Assume that the velocity of particle A before the collision is VA = 100 m/s and that the kinetic energy of particle B after the collision is Kg' = 20 J. Find the particles' mass. (c) If, instead, the collision is fully inelastic, what is the angle of deflection and the velocity of the combined A+B particle after the collision?arrow_forward
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