College

A ball has a momentum of 13.5 kg·m/s when thrown with a velocity of 1.57 m/s outwards.

Find the mass of the ball.

Answer :

Sure! To find the mass of the ball, we need to use the formula for momentum. The formula for momentum (p) is:

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

Here, we are given the momentum of the ball as 13.5 kg·m/s and the velocity as 1.57 m/s. We need to find the mass of the ball.

To do this, we can rearrange the formula to solve for mass:

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

Plugging in the values:

[tex]\[ \text{mass} = \frac{13.5 \, \text{kg·m/s}}{1.57 \, \text{m/s}} \][/tex]

After performing the division, we find that the mass of the ball is approximately:

[tex]\[ \text{mass} \approx 8.60 \, \text{kg} \][/tex]

So, the mass of the ball is approximately 8.60 kg.