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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 :

To solve the problem, we start with the formula for momentum:

$$ p = m \times v, $$

where
\( p \) is the momentum,
\( m \) is the mass, and
\( v \) is the velocity.

Given that the momentum is \( 36 \, \text{kg} \cdot \text{m/s} \) and the velocity is \( 4 \, \text{m/s} \), we can rearrange the formula to solve for mass \( m \) by dividing both sides of the equation by \( v \):

$$ m = \frac{p}{v}. $$

Substitute the given values into the equation:

$$ m = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}}. $$

Now, perform the division:

$$ m = 9 \, \text{kg}. $$

Thus, the mass of the bicycle is \( 9 \, \text{kg} \).

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