Question

Recall that the formula for momentum is:

P=mv
P
=
mv

Which of the following correctly shows momentum being calculated?

(1 point)
Responses

45 N=(9 kg) (5 m/s)
45

N
=
(
9

kg
)

(
5

m
/
s
)
45 N = ( 9 kg ) ( 5 m / s )

45 kg*m/s=(9 kg) (5 m/s)
45

kg
*
m
/
s
=
(
9

kg
)

(
5

m
/
s
)
45 kg * m / s = ( 9 kg ) ( 5 m / s )

14 kg*/s=(9 kg) (5 m/s)s
14

kg
*
/
s
=
(
9

kg
)

(
5

m
/
s
)
s
14 kg * / s = ( 9 kg ) ( 5 m / s ) s

4 kg*m/s=(9 kg) (5 m/s)
4

kg
*
m
/
s
=
(
9

kg
)

(
5

m
/
s
)
4 kg * m / s = ( 9 kg ) ( 5 m / s )

Answer 1

To determine the correct calculation of momentum using the formula \( P = mv \), where \( m \) is mass and \( v \) is velocity, we can follow the process below:

Given:
- Mass, \( m = 9 \, \text{kg} \)
- Velocity, \( v = 5 \, \text{m/s} \)

Calculating momentum:
\[ P = mv = (9 \, \text{kg})(5 \, \text{m/s}) = 45 \, \text{kg} \cdot \text{m/s} \]

Now let's analyze the provided options:

1. **45 N = (9 kg) (5 m/s)**: This is incorrect. The left side is a force (in Newtons), not momentum.

2. **45 kg*m/s = (9 kg) (5 m/s)**: This is correct. It matches the calculation of momentum.

3. **14 kg*/s = (9 kg) (5 m/s)**: The left side does not match the momentum calculation and also has a typographical error. This is incorrect.

4. **4 kg*m/s = (9 kg) (5 m/s)**: This is also incorrect as it does not match the calculation.

Based on the analysis, the correct answer is:

**45 kg*m/s = (9 kg) (5 m/s)**.