Question

As you take your leisurely tour through the solar system, you come across a 1.45 kg rock that was ejected from a collision of asteroids. Your spacecraft's momentum detector shows a value of 1.93 x 108 kg.m/s for this rock. What is the rock's speed?

Answer 1

`1.3310* 10^8 m/s` is the rock's speed.

Step-by-step explanation:

Momentum is defined as motion possessed by the moving body's mass. Mathematically it a product of mas and velocity of the body.

`Momentum(P)=Mass(m)* velocity(v)`

Given : Mass of rock = m = 1.45 kg

Velocity of the rock = v

Momentum of the rock = P =
`1.93* 10^8 kg m/s`

`1.93* 10^8 kg m/s=1.45 kg* v`

`v=(1.93* 10^8 kg m/s)/(1.45 kg)=1.33* 10^8 m/s`

`1.3310* 10^8 m/s` is the rock's speed.