An object has a relativistic momentum that is 7.3 times greater than its classical momentum. What...

An object has a relativistic momentum that is 7.3 times greater than its classical momentum.

What is its speed?

Express your answer using two significant figures.

v=__________c

Solutions

Expert Solution

Relativistic momentum P = 7.3 ( classical momentum)

(m _o v) / [1 -(v ² / c ² ) ] ^1/2 = 7.3 m _o v

(m _o ) / [1 -(v ² / c ² ) ] ^1/2 = 7.3 m _o

1 / [1 -(v ² / c ² ) ] ^1/2 = 7.3

[1 -(v ² / c ² ) ] ^1/2 = 1 / 7.3

= 0.1369

[1 -(v ² / c ² ) ] = 0.0187

(v ² / c ² ) = 0.9812

v / c = 0.9905

v = 0.9905 c

v = 0.99 c

genius_generous answered 1 week ago

Next > < Previous

Related Solutions

What is the classical and relativistic momentum of an object with a mass of 5 kg...

What is the classical and relativistic momentum of an object with a mass of 5 kg moving at a speed of 0.8c?

What is the magnitude of the relativistic momentum of a proton with a relativistic total energy...

What is the magnitude of the relativistic momentum of a proton with a relativistic total energy of 3.8 × 10-10 J?

Compare and contrast the relativistic and classical expressions for the kinetic energy of an object. How...

Compare and contrast the relativistic and classical expressions for the kinetic energy of an object. How does the relativistic expression explain the impossibility of an object to reach the speed of light?

An object will sink in a liquid if the density of the object is greater than...

An object will sink in a liquid if the density of the object is greater than that of the liquid. The mass of a sphere is 0.723 g. If the volume of this sphere is less than ________ cm3, then the sphere will sink in liquid mercury (density = 13.6 g/cm3). A) 0.0532 B) 18.6 C) 9.31 D) 7.48 E) 0.345

Is the total relativistic energy in 1 kg of 238U greater than, equal to, or less...

Is the total relativistic energy in 1 kg of 238U greater than, equal to, or less than the total energy in 1 kg of 12C? You’re in a park listening to a concert that’s 70 m away. The music is faint, and you want the sound intensity to be a factor of 4 times higher. How far from the stage do you need to be?

12. Object 1 has twice the mass of Object 2. Object 2 has the same momentum...

12. Object 1 has twice the mass of Object 2. Object 2 has the same momentum as Object 1. Which of the following is true? a. One object has 0.707 times the kinetic energy of the other. b. One object has twice the kinetic energy of the other. c. One object has 4 times the kinetic energy of the other. d. Both objects have the same kinetic energy.

An 8kg mass is observed traveling with a speed of .08*c. What is its classical momentum?...

An 8kg mass is observed traveling with a speed of .08*c. What is its classical momentum? What is the relativisitic momentum? What is the difference between the two values? Repeat the problem for a speed of .2*c and .8*c

Linear Momentum of an object is conserved At all times b. Only when the net external...

Linear Momentum of an object is conserved At all times b. Only when the net external force on the object is Zero When the net external torque on the object is Zero d. Never A truck of mass 4000 (kg) is moving at 10 (m/s). A car of mass 1000 (kg) is moving at 40 (m/s). So, the truck’s momentum, compared to the car, is Greater b. Smaller c. the same d. Cannot say without knowing their accelerations A 1000...

Why does classical physics seem more intuitive to us than modern physics does Relativistic quantum mechanics...

Why does classical physics seem more intuitive to us than modern physics does Relativistic quantum mechanics is the best theory that we have in physics. What does it describe What are the four fundamental physical quantities? How are fundamental units different from derived units What are three advantages of the metric system? By how many orders of magnitude do the diameter of the sun and the diameter of an atom differ?

As a red giant, the Sun’s luminosity will be about 2000 times greater than it is...

As a red giant, the Sun’s luminosity will be about 2000 times greater than it is now. Calculate the surface temperature of the Earth under these conditions assuming that the Earth is still at 1 AU and that the photosphere of the sun is well within 1 AU. the answer should be about 1900 K but im not sure what am i getting wrong in my calculations, please help!

Subjects