Recall that the formula for momentum is:

Question

P=mv

Which of the following correctly shows momentum being calculated?

(1 point)
Responses

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

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

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

Answer 1

To determine which option correctly shows momentum being calculated using the formula P = mv, we need to evaluate each response.

1. 45 kg*m/s=(9 kg) (5 m/s)

   • This correctly uses the formula, showing that momentum (P) equals mass (m) multiplied by velocity (v). Here, \( P = 9 , \text{kg} \times 5 , \text{m/s} = 45 , \text{kg*m/s} \).
   • This is correct.

2. 14 kg/s=(9 kg) (5 m/s)s*

   • This does not make sense as it includes an extra "s" and the resulting units do not match. So this is incorrect.

3. 45 N=(9 kg) (5 m/s)

   • This incorrectly represents momentum. The units on the left (N for Newtons) do not match the units for momentum (kg*m/s). Thus, this is incorrect.

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

   • This is incorrect because the calculation \( 9 , \text{kg} \times 5 , \text{m/s} \) equals 45, not 4. So this is incorrect.

The only correct response that shows momentum being calculated accurately is:

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