College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

Chapter
Section

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

(a) What is the momentum of a 2000 kg satellite orbiting at 4.00 km/s? (b) Find the ratio of this momentum to the classical momentum. (Hint: Use the approximation that γ = 1 + ( 1 / 2 ) v 2 / c 2 at low velocities.)

To determine

(a)

The relativistic momentum of the satellite.

Explanation

Given info:

• The mass of the satellite is 2000â€‰kg.
• The satellite is orbiting with speed 4â€‰kms-1.
• Convert kilometer per second to meter per second.

â€ƒâ€ƒ4â€‰kms-1=â€‰â€‰4â€‰kms-1Ã—1000â€‰m1â€‰km=â€‰4000â€‰ms-1

Formula used:

Formula to find the relativistic momentum of asteroids is,

â€ƒâ€ƒpâ€‰=â€‰mv(1+12v2c2)

Here, vis the velocity of the asteroid, mis the mass of the asteroid and cis the speed of light

To determine

(b)

The ratio of the relativistic momentum and classical momentum.

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