Answered

If the mass of an object is 6 kg and its momentum is -12 kg·m/s, what is its velocity?

A. 12 m/s
B. 18 m/s
C. 2 m/s
D. -2 m/s



Answer :

To determine the velocity of an object given its mass and momentum, we can use the formula for momentum, which is:

[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]

We need to solve for the velocity (v). By rearranging the formula, we get:

[tex]\[ \text{velocity} = \frac{\text{momentum}}{\text{mass}} \][/tex]

Given:
- The mass of the object is [tex]\( 6 \, \text{kg} \)[/tex]
- The momentum of the object is [tex]\( -12 \, \text{kgm/s} \)[/tex]

Substitute these values into the formula:

[tex]\[ \text{velocity} = \frac{-12 \, \text{kgm/s}}{6 \, \text{kg}} \][/tex]

[tex]\[ \text{velocity} = -2 \, \text{m/s} \][/tex]

Therefore, the velocity of the object is [tex]\(-2 \, \text{m/s}\)[/tex].

The correct answer is:
D. -2 m/s