Question

exam lesson name: motion and forces
exam number: 700696rr
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▶ exam instructions

question 20 of 20 :
select the best answer for the question.

1. whats the velocity of a skateboarder whose momentum is 100 kg-m/s and mass is 15 kg? round to the nearest hundredth.

○ a. 3.33 m/s
○ b. 13.25 m/s
○ c. 6.67 kg
○ d. 6.67 m/s

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Explanation:

Step1: Recall momentum formula

The formula for momentum \( p \) is \( p = mv \), where \( m \) is mass and \( v \) is velocity. We need to solve for \( v \), so rearrange the formula to \( v=\frac{p}{m} \).

Step2: Substitute values

Given \( p = 100\space kg\text{-}m/s \) and \( m = 15\space kg \), substitute into the formula: \( v=\frac{100}{15} \).

Step3: Calculate and round

\( \frac{100}{15}\approx6.67\space m/s \) (rounded to the nearest hundredth). Also, note that option C has the wrong unit (kg instead of m/s), A and B are incorrect calculations.

Answer:

D. 6.67 m/s