Naoki's bicycle has a mass of 8 kg. If Naoki sits on her bicycle and starts pedaling with a force of 99 N, causing an acceleration of [tex]1.5 \, \text{m/s}^2[/tex], what is Naoki's mass?

Naoki's mass can be calculated using Newton's second law. After finding the total mass by dividing the total force by the acceleration (66 kg), the mass of the bike (8 kg) is subtracted to give Naoki's mass (58 kg).

Explanation:

To find Naoki's mass, we use Newton's second law, which states that the force (F) is the product of mass (m) and acceleration (a). This can be represented by the formula F = m * a. In this case, we know the force (99 N) and the total acceleration (1.5 m/s2). If we suppose that the total mass is the mass of Naoki plus the mass of the bike, to find Naoki's mass we subtract the mass of the bike from the total mass.

Firstly, we rearrange the formula to find the total mass: m = F / a = 99 N / 1.5 m/s2 = 66 kg. As the bike has a mass of 8 kg, we subtract this from the total mass to get Naoki's mass: 66 kg - 8 kg = 58 kg. So, Naoki's mass is 58 kg.

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