a. Explanation Given data: Δ τ = 20 y and m = 20 , 000 kg . Formula used: Write the expression for time dilation in terms of proper time ( Δ τ ) . Δ τ = Δ t ( 1 − β 2 ) (1) Here, Δ t is the change in time. Write the general expression for β . β = v c (2) Here, v is the speed, and c is the speed of light , which is known as 3.0 × 10 8 m s . Explanation: Since the red giant star is 430 ly away, then the round-trip distance ( L ) is 860 ly ( 2 × 430 ly ) Consider that the rocket takes Δ t time to complete a round trip. Find v c . v c = L c Δ t Substitute 860 ly for L , v c = 860 ly c Δ t = 860 ly ( 1 ly y ) Δ t { ∵ c = 1 ly y } v c = 860 y Δ t (3) Substitute equation (2) in equation (1), Δ τ = Δ t ( 1 − ( v c ) 2 ) Rearrange the equation b. To determine To find: The energy required to accelerate the rocket to its speed. c. To determine To find: How many times larger is energy needed to accelerate the rocket than the total energy used by the united states in the year 2012.

College Physics: A Strategic Approach (3rd Edition)

3rd Edition

ISBN: 9780321879721

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

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Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience …

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Chapter 27, Problem 54GP

To determine

To find: The fast that the rocket travels relative to earth.

To determine

To find: The energy required to accelerate the rocket to its speed.

To determine

To find: How many times larger is energy needed to accelerate the rocket than the total energy used by the united states in the year 2012.

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Chapter 27, Problem 53GP

Chapter 27, Problem 55GP

Chapter 27 Solutions

College Physics: A Strategic Approach (3rd Edition)

Ch. 27 - Prob. 1CQ Ch. 27 - Frame S moves relative to frame S as shown in...Ch. 27 - a. Two balls move as shown in Figure Q27.3. What...Ch. 27 - A lighthouse beacon alerts ships to the danger of...Ch. 27 - As a racket passes the earth at 0.75c, it fires a...Ch. 27 - At the instant that a clock standing next to you...Ch. 27 - Prob. 7CQ Ch. 27 - Firecrackers 1 and 2 are 600 m apart. You are...Ch. 27 - Your clocks and calendars are synchronized with...Ch. 27 - Two trees are 600 m apart. You are standing...

Ch. 27 - Figure Q27.11 shows Peggy standing at the center...Ch. 27 - In Figure Q27.12, clocks C1 and C2, in frame S are...Ch. 27 - A meter stick passes you at a speed of 0.5c....Ch. 27 - Youre passing a car on the highway. You want to...Ch. 27 - Prob. 15CQ Ch. 27 - Prob. 16CQ Ch. 27 - The rocket speeds shown in Figure Q27.18 are...Ch. 27 - Can a particle of mass m have total energy less...Ch. 27 - In your chemistry classes, you have probably...Ch. 27 - Lee and Leigh are twins. At their first birthday...Ch. 27 - A space cowboy wants to eject from his spacecraft...Ch. 27 - A lamp flashes at the origin. Then, 1 s later, a...Ch. 27 - Prob. 24MCQ Ch. 27 - A particle moving at speed 0.40c has momentum p0....Ch. 27 - A particle moving at speed 0.40c has kinetic...Ch. 27 - A sprinter crosses the finish line of a race. The...Ch. 27 - A baseball pitcher can throw a ball with a speed...Ch. 27 - A boy on a skateboard coasts along at 5 m/s. He...Ch. 27 - A boat takes 3.0 hours to travel 30 km down a...Ch. 27 - When the moving sidewalk at the airport is broken,...Ch. 27 - Prob. 6P Ch. 27 - An out-of-control alien spacecraft is diving into...Ch. 27 - A starship blasts past the earth at 2.0 103 m/s....Ch. 27 - You are flying at 0.99c with respect to Kara. At...Ch. 27 - You are standing at the point x = 300 m, y = 400 m...Ch. 27 - Prob. 11P Ch. 27 - Bianca is standing at x = 600 m. Firecracker 1, at...Ch. 27 - You are standing at x = 9.0 km Lightning bolt 1...Ch. 27 - A light flashes at position x = 0 m. One...Ch. 27 - Jose is baking to the east. Lightning bolt 1...Ch. 27 - Your 1000-m-long starship has warning lights at...Ch. 27 - There is a lightbulb exactly halfway between the...Ch. 27 - A cosmic ray travels 60 km through the earths...Ch. 27 - At what speed relative to a laboratory does a...Ch. 27 - An astronaut travels to a star system 4.5 ly away...Ch. 27 - Prob. 21P Ch. 27 - At what speed as a fraction of c, will a moving...Ch. 27 - Jill claims that her new rocket is 100 m long. As...Ch. 27 - A muon travels 60 km through the atmosphere at a...Ch. 27 - The Stanford Linear Accelerator (SLAC) accelerates...Ch. 27 - Our Milky Way galaxy is 100,000 ly in diameter. A...Ch. 27 - The X-15 rocket-powered plane holds the record for...Ch. 27 - A rocket cruising past earth at 0.800c shoots a...Ch. 27 - A base on Planet X fires a missile toward an...Ch. 27 - A solar flare blowing out from the sun at 0.90c is...Ch. 27 - Prob. 31P Ch. 27 - Prob. 32P Ch. 27 - Prob. 33P Ch. 27 - Prob. 34P Ch. 27 - What are the kinetic energy, the rest energy, and...Ch. 27 - A quarter-pound hamburger with all the fixings has...Ch. 27 - How fast much an electron move so that its total...Ch. 27 - At what speed is a particle's kinetic energy twice...Ch. 27 - A firecracker explodes at x = 0 m, t = 0 s. A...Ch. 27 - Youre standing on an asteroid when you see your...Ch. 27 - A subatomic particle moves through the laboratory...Ch. 27 - Prob. 42GP Ch. 27 - A very fast-moving train car passes you, moving to...Ch. 27 - Two events in reference frame S occur 10 s apart...Ch. 27 - A spaceship heads directly toward an asteroid at a...Ch. 27 - Hill Two spaceships approach each other at speeds...Ch. 27 - A cube has a density of 2000 kg/m3 while at rest...Ch. 27 - A railroad car that is 20 m long when at rest...Ch. 27 - A spaceship flies past an experimenter who...Ch. 27 - Marissas spaceship approaches Josephs at a speed...Ch. 27 - At a speed of 0.90c, a spaceship travels to a star...Ch. 27 - Prob. 54GP Ch. 27 - A rocket traveling at 0.500c sets out for the...Ch. 27 - A distant quasar is found to be moving away from...Ch. 27 - Two rockets approach each other. Each is traveling...Ch. 27 - A railcar has a velocity of 0.5c relative to the...Ch. 27 - James, Daniella, and Tara all possess identical...Ch. 27 - A space beacon on Planet Karma emits a pulse of...Ch. 27 - Two rockets, A and B, approach the earth from...Ch. 27 - What is the speed of an electron after being...Ch. 27 - What is the speed of a proton after being...Ch. 27 - Prob. 66GP Ch. 27 - What is the momentum of a particle with speed...Ch. 27 - Prob. 68GP Ch. 27 - What is the total energy, in MeV, of a. A proton...Ch. 27 - Prob. 70GP Ch. 27 - At what speed is the kinetic energy of a particle...Ch. 27 - Prob. 72GP Ch. 27 - The chemical energy of gasoline is 46 MJ/kg. If...Ch. 27 - A standard nuclear power plant generates 3.0 GW of...Ch. 27 - The sun radiates energy at the rate 3.8 1026 W....Ch. 27 - The radioactive element radium (Ra) decays by a...Ch. 27 - Prob. 77GP Ch. 27 - MCAT-Style Passage Problems Pion Therapy Subatomic...Ch. 27 - MCAT-Style Passage Problems Pion Therapy Subatomic...Ch. 27 - MCAT-Style Passage Problems Pion Therapy Subatomic...Ch. 27 - MCAT-Style Passage Problems Pion Therapy Subatomic...

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The fast that the rocket travels relative to earth.

Solution Summary: The author explains how the rocket travels relative to earth.

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To find: The fast that the rocket travels relative to earth.

To find: The energy required to accelerate the rocket to its speed.

To find: How many times larger is energy needed to accelerate the rocket than the total energy used by the united states in the year 2012.

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Chapter 27 Solutions