Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 8, Problem 26SP
A billiard ball moving at a speed
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A bowling ball onboard a space station is floating at rest relative to the station and an astronaut nudges a Ping-Pong ball toward it at speed v, initiating a perfectly elastic headon collision. Which answer is closest to the Ping-Pong ball’s speed after the collision? (a) 0 (b) v/2 (c) v (d) 2v (e) 3v
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Starting with equations
m1v1 =m1v′1 cos θ1+m2v′2 cosθ2 and 0 =m1v′1 sinθ1+m2v′2 sinθ2 for conservation of momentum in the x- and y-directions and assuming that one object is originally stationary, prove that for an elastic collision of two objects of equal masses, 1/ 2mv 12 = 1 /2mv′12+1 /2mv′22+mv′1v′2 cos( θ1−θ2).
Chapter 8 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 8 - 21. A ball having a mass of 0.500 kg is thrown at...Ch. 8 - 22. A projectile experiences a force of 2.0 kN for...Ch. 8 - 8.23 [I] Imagine an automobile traveling at a...Ch. 8 - 24. Imagine a space vehicle floating in the void....Ch. 8 - 8.25 [I] A billiard ball moving at a speed ...Ch. 8 - 8.26 [I] A billiard ball moving at a speed ...Ch. 8 - 8.27 [I] Using the results of the previous two...Ch. 8 - 28. Imagine that a 1.20-kg hard-rubber ball...Ch. 8 - 29. Suppose the ball in the previous problem is in...Ch. 8 - 30. A force of 1000 N is applied to a small space...
Ch. 8 - 31. Typically, a tennis ball hit during a serve...Ch. 8 - 32. During a soccer game a ball (of mass 0.425...Ch. 8 - 33. A 40 000-kg freight car is coasting at a speed...Ch. 8 - 34. An empty 15 000-kg coal car is coasting on a...Ch. 8 - 35. Sand drops at a rate of 2000 kg/min from the...Ch. 8 - 36. Two bodies of masses 8 kg and 4 kg move along...Ch. 8 - 37. A 1200-kg gun mounted on wheels shoots an...Ch. 8 - 38. Three masses are placed on the y-axis: 2 kg at...Ch. 8 - 39. Four masses are positioned in the xy-plane as...Ch. 8 - 40. A ball of mass m sits at the coordinate origin...Ch. 8 - 41. A ball of mass m at rest at the coordinate...Ch. 8 - 42. A 2.0-kg block of wood rests on a long...Ch. 8 - 43. A 2.0-kg block of wood rests on a tabletop. A...Ch. 8 - 44. A 6000-kg truck traveling north at 5.0 m/s...Ch. 8 - 45. What average resisting force must act on a...Ch. 8 - 46. A 7.00-g bullet moving horizontally at 200 m/s...Ch. 8 - 47. Two balls of equal mass, moving with speeds of...Ch. 8 - 48. A 90-g ball moving at 100 cm/s collides...Ch. 8 - 8.49 [III] A ball is dropped onto a horizontal...Ch. 8 - 50. Two identical balls undergo a collision at the...Ch. 8 - 8.51 [II] Two identical balls traveling parallel...Ch. 8 - 8.52 [II] (a) What minimum thrust must the engines...
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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_forwardIn 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 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
- 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_forwardThe momentum of an object is increased by a factor of 4 in magnitude. By what factor is its kinetic energy changed? (a) 16 (b) 8 (c) 4 (d) 2 (e) 1arrow_forwardThe mass of the blue puck in Figure P9.44 is 20.0% greater than the mass of the green puck. Before colliding, the pucks approach each other with momenta of equal magnitudes and opposite directions, and the green puck has an initial speed of 10.0 m/s. Find the speeds the pucks have after the collision if half the kinetic energy of the system becomes internal energy during the collision.arrow_forward
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Elastic and Inelastic Collisions; Author: Professor Dave Explains;https://www.youtube.com/watch?v=M2xnGcaaAi4;License: Standard YouTube License, CC-BY