Answered

If the velocity of an object is 10 m/s and its momentum is 50 kg·m/s, what is its mass?

A. 15 kg
B. 5 kg
C. 10 kg
D. 50 kg



Answer :

To find the mass of an object when the velocity and momentum are given, we can use the formula for momentum:

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

We can rearrange this formula to solve for mass:

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

Given:
- Velocity ([tex]\( v \)[/tex]) = 10 m/s
- Momentum ([tex]\( p \)[/tex]) = 50 kgm/s

Substituting the given values into the formula:

[tex]\[ \text{mass} = \frac{50 \, \text{kgm/s}}{10 \, \text{m/s}} \][/tex]

[tex]\[ \text{mass} = 5 \, \text{kg} \][/tex]

Therefore, the mass of the object is:

B. 5 kg