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5) A 50 kg ball rolls down the street at 5 m/s. Calculate the momentum of the ball.
A) 55 kgm/s
B) 100 kgm/s
C) 250 kgm/s
D) 500 kgm/s

Verified Answer :

GinnyAnswer

To solve the problem of finding the momentum of a 50 kg ball rolling down the street at 5 m/s, you can follow these steps:

1. Understand the Concept of Momentum:
Momentum is a measure of the motion of an object and is calculated by multiplying the object's mass by its velocity. The formula for momentum (p) is:
\(\[ p = m \times v \]\)
where \(\( m \)\) is the mass in kilograms (kg) and \(\( v \)\) is the velocity in meters per second (m/s).

2. Identify the Given Values:
- Mass (\(\( m \)\)) of the ball = 50 kg
- Velocity (\(\( v \)\)) of the ball = 5 m/s

3. Substitute the Given Values into the Formula:
Substitute the mass and velocity into the momentum formula to calculate the momentum.
\(\[ p = 50 \, \text{kg} \times 5 \, \text{m/s} \]\)

4. Perform the Multiplication:
Multiply the mass by the velocity.
\(\[ p = 50 \times 5 = 250 \, \text{kg} \cdot \text{m/s} \]\)

5. Select the Correct Option:
From the provided choices:
- A) 55 kgm/s
- B) 100 kgm/s
- C) 250 kgm/s
- D) 500 kgm/s

The calculated momentum (250 kgm/s) matches option C.

Therefore, the momentum of the ball is \(\( 250 \, \text{kg} \cdot \text{m/s} \)\), so the correct answer is:

C) 250 kgm/s

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