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 :

We are given the momentum [tex]$p = 36 \, \text{kg} \cdot \text{m/s}$[/tex] and the velocity [tex]$v = 4 \, \text{m/s}$[/tex]. We know that the momentum of an object is calculated by the equation:

[tex]$$
p = m \cdot v
$$[/tex]

where [tex]$m$[/tex] is the mass of the object.

To find the mass, we can rearrange the equation to solve for [tex]$m$[/tex]:

[tex]$$
m = \frac{p}{v}
$$[/tex]

Substitute the given values:

[tex]$$
m = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}}
$$[/tex]

Calculating the expression, we get:

[tex]$$
m = 9 \, \text{kg}
$$[/tex]

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

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