As part of an experiment on momentum, a billiard ball with a mass of 0.180 kg travels 1.5 m in 0.5 s. What is the momentum of the ball?(1 point)

Question

Responses

0.14 kg⋅m/s
0 point 14 kilograms times meters per second

0.54 kg⋅m/s
0 point 0 6 kilograms times meters per second

0.06 kg⋅m/s
0 point 0 6 kilograms times meters per second

0.81 kg⋅m/s

Answer 1

To calculate the momentum of the billiard ball, we can use the formula:

\[ \text{Momentum} (p) = \text{mass} (m) \times \text{velocity} (v) \]

First, we need to determine the velocity of the ball. The velocity can be calculated using the formula:

\[ \text{Velocity} (v) = \frac{\text{distance}}{\text{time}} \]

Given that the distance is 1.5 m and the time is 0.5 s, we find the velocity:

\[ v = \frac{1.5 , \text{m}}{0.5 , \text{s}} = 3 , \text{m/s} \]

Now we can calculate the momentum:

\[ p = m \times v = 0.180 , \text{kg} \times 3 , \text{m/s} = 0.540 , \text{kg}\cdot\text{m/s} \]

Thus, the momentum of the ball is:

\[ \text{Momentum} = 0.54 , \text{kg}\cdot\text{m/s} \]

So the correct response is:

0.54 kg⋅m/s