As part of an experiment on momentum, a billiard ball with a mass of 0.180 kg travels 1.5 m in0.5 s. What is the momentum of the ball?

Question

(1 point)
0.06 kg ⋅ m/s
0.14 kg ⋅ m/s
0.81 kg ⋅ m/s
0.54 kg ⋅ m/s

Answer 1

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

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

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

\[ v = \frac{\text{distance}}{\text{time}} \]

Given:

• Distance = 1.5 m
• Time = 0.5 s

Now we can calculate the velocity:

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

Next, we can calculate the momentum using the mass of the ball:

Given:

• Mass \( m = 0.180 , \text{kg} \)

Now we calculate the momentum:

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

So the momentum of the ball is:

0.54 kg ⋅ m/s

Therefore, the correct answer is:

0.54 kg ⋅ m/s