Question

Recall that the formula for momentum is:

P=mv

Which of the following correctly shows momentum being calculated?

(1 point)
Responses

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

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

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

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

Answer 1

To determine which of the given responses correctly shows the calculation of momentum using the formula \( P = mv \), we can evaluate each option:

1. **4 kg*m/s = (9 kg)(5 m/s)**
- Calculate the right side: \( (9 \text{ kg})(5 \text{ m/s}) = 45 \text{ kg*m/s} \)
- This is incorrect since \( 4 \text{ kg*m/s} \neq 45 \text{ kg*m/s} \).

2. **45 N = (9 kg)(5 m/s)**
- Calculate the right side: \( (9 \text{ kg})(5 \text{ m/s}) = 45 \text{ kg*m/s} \)
- The left side is incorrectly labeled as Newtons (N); it should be kg*m/s for momentum. This is incorrect.

3. **14 kg*/s = (9 kg)(5 m/s)s**
- The units are incorrect and nonsensical as written on the left side, and the right side correctly calculates to \( 45 \text{ kg*m/s} \). This is incorrect due to both units and value.

4. **45 kg*m/s = (9 kg)(5 m/s)**
- Calculate the right side: \( (9 \text{ kg})(5 \text{ m/s}) = 45 \text{ kg*m/s} \)
- This is correct as both sides are equal.

Therefore, the correct response showing momentum being calculated is:

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