High School

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A bicycle has a momentum of [tex]$36 \, \text{kg} \cdot \text{m/s}$[/tex] and a velocity of [tex]$4 \, \text{m/s}$[/tex]. What is the mass of the bicycle?

A. 9 kg
B. 32 kg
C. 40 kg
D. 144 kg

Answer :

The momentum of an object is given by the formula:
[tex]$$
p = m \cdot v
$$[/tex]

Here, the momentum is \[tex]$36 \, kg \cdot m/s\$[/tex] and the velocity is \[tex]$4 \, m/s\$[/tex]. We want to find the mass \[tex]$m\$[/tex]. To do so, we rearrange the equation to solve for \[tex]$m\$[/tex]:
[tex]$$
m = \frac{p}{v}
$$[/tex]

Substitute the given values into the equation:
[tex]$$
m = \frac{36}{4} = 9 \, kg
$$[/tex]

Thus, the mass of the bicycle is \[tex]$\boxed{9 \, kg}\$[/tex].

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