Classical Dynamics of Particles and Systems
5th Edition
ISBN: 9780534408961
Author: Stephen T. Thornton, Jerry B. Marion
Publisher: Cengage Learning
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Consider the collision below between two objects of unequal mass.
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- 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_forwardDetermine the final velocities Va and Vb by using the linear-impulse relationsarrow_forwardProve that the linear momentum of a system of particles is conserved.arrow_forward
- Rock A of mass M and another rock B of mass 2M are released from a height h above the ground. Upon impact which relationship correctly states the momenta of rocks A and B?arrow_forwardConsider a head-on, elastic collision between twobodies whose masses are m and M, with Itis well known that if m has speed and M is initiallyat rest, m will bounce straight back with its speedunchanged, while M will remain at rest (to anexcellent approximation). Use this fact to predict thefinal velocities if M approaches with speed and mis initially at rest.arrow_forwardStarting from Newton’s second law of motion, prove that impulse imparted on an object is equal to the change in momentum its momentum. Two masses m1 and m2 with a separation distance of d, attract each with a force F. What is the relationship between the F, m1, m2, and d? By what factor will the force of attraction change if the distance is quadrupled? A 400 kg object moving at a speed of 5 m/s to the right collides with a 600 moving at 2 m/s to the left. After the collision, the 600 kg object moves to the right at a speed of 3 m/s. Determine, the velocity of the 400 kg object after the collisionarrow_forward
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