Imagine a spaceship traveling at a constant speed through outer space. The length of the ship, as measured by a passenger aboard the ship, is 28.2 m. An observer on Earth, however, sees the ship as contracted by 16.1 cm along the direction of motion. What is the speed of the spaceship with respect to the Earth

Explanation:

Let

The Lorentz length contraction formula is given by

where L is the length measured by the moving observer and L' is the length measured by the stationary Earth-based observer. We can rewrite the above equation as

Taking the square of the equation, we get

or

Solving for v, we get

we need to know the time interval during which the force acts. impulse of force = momentum change

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