   Chapter 28, Problem 38PE

Chapter
Section
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 2000kg.
• The satellite is orbiting with speed 4kms-1.
• Convert kilometer per second to meter per second.

4kms-1=4kms-1×1000m1km=4000ms-1

Formula used:

Formula to find the relativistic momentum of asteroids is,

p=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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