DMENTUM PLAY STOP 19 A 50 kg ball rolls down the street at $$ 5 \mathrm{~m} / \mathrm{s} $$. Calculate the momentum of the ball. (A) $$ 250 \mathrm{~kg} \hbar \mathrm{~m} / \mathrm{s} $$ (B) $$ 500 \mathrm{~kg} \hbar \mathrm{~m} / \mathrm{s} $$ (C) $$ 100 \mathrm{~kg}^{\star} \mathrm{m} / \mathrm{s} $$ (D) $$ 55 \mathrm{~kg} \pi \mathrm{~m} / \mathrm{s} $$

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UpStudy AI · Accepted Answer

To calculate the momentum of the ball, we can use the formula for momentum $$ p $$:

$$
p = m \cdot v
$$

where:
- $$ p $$ is the momentum,
- $$ m $$ is the mass of the object (in kg),
- $$ v $$ is the velocity of the object (in m/s).

Given:
- Mass $$ m = 50 \, \text{kg} $$
- Velocity $$ v = 5 \, \text{m/s} $$

Now, we can substitute the values into the formula:

$$
p = 50 \, \text{kg} \cdot 5 \, \text{m/s}
$$

Calculating this gives:

$$
p = 250 \, \text{kg} \cdot \text{m/s}
$$

Now, let's compare this result with the provided options:

(A) $$ 250 \, \text{kg} \cdot \text{m/s} $$  
(B) $$ 500 \, \text{kg} \cdot \text{m/s} $$  
(C) $$ 100 \, \text{kg} \cdot \text{m/s} $$  
(D) $$ 55 \, \text{kg} \cdot \text{m/s} $$

The correct answer is:

**(A) $$ 250 \, \text{kg} \cdot \text{m/s} $$**.
The momentum of the ball is 250 kg·m/s.

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