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 P11.50

A 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?

A 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?

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.

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.

A 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?

A block with mass m1 = 8.0 kg moves with an initial velocity of 10 m/s and collides with another block of mass m 2 = 5.0 kg that is at rest. Both end up moving together with the same speed. (a) Find the final speed of both. (b) Check that the collision is inelastic, calculate kinetic energy before and after the collision.

A proton is traveling with a velocity of 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.

A particle of mass m and velocity u collides elastically with a particle of mass M initially at rest. As a result of the collision, the particle of mass m is deflected 90 ° and its speed reduced to uv3. The particle of mass M, recoils with a velocity v forming an angle 0 with the original direction of m. All angles and speeds are observed in the laboratory system. Obtain the value of M as a function of m, v, u, and 0. At what angles are the particles deflected in the center of mass system? М - 2т, v — и/3,0 — п/6; бл — 2п/3,бм — 5л/3 m ans.