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College Physics

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

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BuyFindarrow_forward

College Physics

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

(a) Find the momentum of a 1.00 × 10 9 kg asteroid heading towards the Earth at 30.0 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 asteroid.

Explanation

Given info:

  • The mass of the asteroid is 1×109kg.
  • The asteroid is moving towards Earth with speed 30kms-1.

Convert kilometer per second to meter per second.

  

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.

Calculation:

Substituting the given values, we get,

  p=1×109kg×3×104ms-1(1+1<

To determine

(b)

The ratio of the relativistic momentum and classical momentum.

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