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 )

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

kg
*
m
/

Answer 1

To correctly calculate momentum using the formula \( P = mv \), we need to ensure both sides of the equation have consistent units and that the calculation is correct.

The formula \( P = mv \) can be used as follows:

1. **Substitute the values for mass (m) and velocity (v):**
Given:
- Mass (m) = 9 kg
- Velocity (v) = 5 m/s

2. **Calculate momentum (P):**
\[
P = 9 \, \text{kg} \times 5 \, \text{m/s} = 45 \, \text{kg m/s}
\]

The first response, "45 N = (9 kg)(5 m/s)" is incorrect because it incorrectly labels the units of momentum as newtons (N), which is a unit of force, rather than \( \text{kg m/s} \).

The second response, "4 kg*m/s = (9 kg)(5 m/s)", is also incorrect for two reasons:
1. The calculation is incorrect, as \( 9 \times 5 = 45 \), not 4.
2. The left side states 4 kg*m/s which is incorrect.

Thus, neither response correctly shows the calculation of momentum. The correct calculation using the values provided should yield:

\[
P = 45 \, \text{kg m/s}
\]