Question

The space capsule is on its way back to earth after deploying its first two parachutes falls at a speed of 100 mph what is the space capsules velocity?

Answer 1

The speed of the space capsule relative to the ship can be calculated using the relativistic velocity addition equation.

Step-by-step explanation:

The speed of the space capsule relative to the ship can be calculated using the relativistic velocity addition equation:

v' = (v + u) / (1 + vu/c^2)

Where:

v' is the relative velocity of the capsule to the ship

v is the velocity of the ship (0.1c = 0.1 * speed of light)

u is the velocity of the capsule relative to the Earth (0.1c = 0.1 * speed of light)

c is the speed of light

Substituting the given values:

v' = (0.1c + 0.1c) / (1 + 0.1c * 0.1c / c^2)

Simplifying the equation gives:

v' = 0.2c / (1 + 0.01)

v' = 0.2c / 1.01

Therefore, the speed of the capsule relative to the ship is approximately 0.198c (where c is the speed of light).