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?

Respuesta :

Answer:

[tex] 1.3310\times 10^8 m/s[/tex] is the rock's speed.

Explanation:

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

[tex]Momentum(P)=Mass(m)\times velocity(v)[/tex]

Given : Mass of rock = m = 1.45 kg

Velocity of the rock = v

Momentum of the rock = P =[tex]1.93\times 10^8 kg m/s[/tex]

[tex]1.93\times 10^8 kg m/s=1.45 kg\times v[/tex]

[tex]v=\frac{1.93\times 10^8 kg m/s}{1.45 kg}=1.33\times 10^8 m/s[/tex]

[tex] 1.3310\times 10^8 m/s[/tex] is the rock's speed.