Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Textbook Question
Chapter 2, Problem 13CQ
Two objects isolated from the rest of the universe collide and stick together. Does the system’s final kinetic energy depend on the frame of reference in which it is viewed? Does the system’s change in kinetic energy depend on the frame in which his viewed? Explain your answers.
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Sending spaceships to the outer regions of the solar system requires large energies. The slingshot effect is a frequently used
method for speeding up spaceships without using much rocket fuel. To use this effect, the spaceship is diverted to pass around
one of the inner planets (such as Venus). If the spaceship is sent in the right direction, it will reach to greater speeds after it
passes around the planet. You will see the effect at play in this question.
A spaceship is sent with an initial velocity of is = (30 - j – 20 - î) km/s towards a planet. The planet is moving with velocity
úp = 20i km/s. After the encounter with the planet, the spaceship emerges to be moving along the +r direction (with a final
velocity of the form is = vgi). Find the final speed of the spaceship in units of km/s.
= 40
km/s. 40
Incorrect answer.
Hint 1: This is an elastic "collision". When you hear the word collision, you usually imagine something that happens quickly; in
contrast this collision happens…
Chapter 2 Solutions
Modern Physics
Ch. 2 - Explain to your friend, who is willing to accept...Ch. 2 - A friend says, “It makes no sense that Anna could...Ch. 2 - The Lorentz transformation equations have x and t...Ch. 2 - You are gliding over Earth’s surface at a high...Ch. 2 - A thin plate has a round hole whose diameter in...Ch. 2 - In the twin paradox situation, a fellow student...Ch. 2 - Does the asymmetric aging of an Earthbound...Ch. 2 - You are floating in space when you notice a flying...Ch. 2 - Prob. 9CQCh. 2 - A relativity enthusiast says, “If E=mc2 and energy...
Ch. 2 - Prob. 11CQCh. 2 - Prob. 12CQCh. 2 - Two objects isolated from the rest of the universe...Ch. 2 - Particles of light have no mass. Does the Sun’s...Ch. 2 - Prob. 15CQCh. 2 - In a television picture tube, a beam of electrons...Ch. 2 - Prob. 17ECh. 2 - Verify that the special case x=vt,x=0 leads to...Ch. 2 - If an object actually occupies less space...Ch. 2 - Through a window in Carl’s spaceship, passing at...Ch. 2 - According to an observer on Earth, a spacecraft...Ch. 2 - According to Bob on Earth, Planet Y (uninhabited)...Ch. 2 - Anna is on a railroad flatcar moving at 0.6c...Ch. 2 - A polevaulter holds a 16 ft. pole. A barn has...Ch. 2 - Anna and Bob are in identical spaceships, each 100...Ch. 2 - Bob is watching Anna fly by in her new highspeed...Ch. 2 - Rob and Bob Jr. stand at open doorways at opposite...Ch. 2 - The diagram shows Bob’s view of the passing of two...Ch. 2 - Refer to Figure 2.18. 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Anna is on a spacecraft moving...Ch. 2 - According to Anna, on Earth, Bob is on a spaceship...Ch. 2 - Prove that if v and u are less than c, it is...Ch. 2 - In a particle collider experiment, particle 1 is...Ch. 2 - A light beam moves in the xyplane and has an...Ch. 2 - A light beam moves at an angle ? with the xaxis as...Ch. 2 - You tire a light signal at 60° north of west. (a)...Ch. 2 - At t=0 , a bright beacon at the origin flashes,...Ch. 2 - Prob. 67ECh. 2 - By applying the relativistic velocity...Ch. 2 - Prob. 69ECh. 2 - What are the momentum, energy, and kinetic energy...Ch. 2 - What would be the internal energy, kinetic energy,...Ch. 2 - By how much (in picograms) does the mass of 1 mol...Ch. 2 - Prob. 73ECh. 2 - A typical household uses 500 kWh of energy in 1...Ch. 2 - Prob. 75ECh. 2 - Prob. 76ECh. 2 - Prob. 77ECh. 2 - Show that the relativistic expression for kinetic...Ch. 2 - At Earth’s location, the intensity of sunlight is...Ch. 2 - Prob. 80ECh. 2 - Prob. 81ECh. 2 - Prob. 82ECh. 2 - How fast must an object be moving for its kinetic...Ch. 2 - How much work must be done to accelerate an...Ch. 2 - An electron accelerated from rest through a...Ch. 2 - What is the momentum of a proton accelerated...Ch. 2 - A proton is accelerated from through a potential...Ch. 2 - xzA particle of mass m0 moves the lab at 0.6c....Ch. 2 - 89. The boron14 nucleus (mass: 14.02266 u) “beta...Ch. 2 - A 3.000 u object moving to the right through a...Ch. 2 - A 10 kg object is moving to the right at 0.6c. It...Ch. 2 - Particle 1, of mass m1 , moving at 0.8c relative...Ch. 2 - Consider the collisions of two identical...Ch. 2 - A kaon (denoted K0 ) ¡s an unstable particle mass...Ch. 2 - In the frame of reference shown, a stationary...Ch. 2 - Prob. 96ECh. 2 - Show that E2=p2c2+m2c4 follows from expressions...Ch. 2 - Equation (2-30) is an approximation correct only...Ch. 2 - According to an observer at Earth’s equator, by...Ch. 2 - If it is fundamental to nature that a given mass...Ch. 2 - Prob. 101ECh. 2 - Suppose particles begin moving in one dimension...Ch. 2 - Prob. 103ECh. 2 - From the Lorentz transformation equations, show...Ch. 2 - (a) Determine the Lorentz transformation matrix...Ch. 2 - For the situation given in Exercise 22, find the...Ch. 2 - Show that equation (236) follows from the...Ch. 2 - A 1 kg object moves at 0.8crelative to Earth. (a)...Ch. 2 - From p=umu (i.e., px=umux , py=umuy , and pz=umuz...Ch. 2 - Prob. 110ECh. 2 - An object of mass 3m0 moves to the right at...Ch. 2 - Prob. 112ECh. 2 - Derive the following expressions for the...Ch. 2 - (a) Determine the Lorentz transformation matrix...Ch. 2 - A point charge +q rests halfway between two steady...Ch. 2 - Prob. 116CECh. 2 - Prob. 117CECh. 2 - A rocket maintains a constant thrust F, giving it...Ch. 2 - Exercise 117 gives the speed u of an object...Ch. 2 - In Example 2.5, we noted that Anna could go...
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