High School

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Naoki's bicycle has a mass of 9 kg. If Naoki sits on her bicycle and starts pedaling with a force of 107.2 N, causing an acceleration of 1.6 m/s², what is Naoki's mass?

A. 69 kg
B. 58 kg
C. 67 kg
D. 14 kg

Answer :

Answer:

Explanation:

F = ma

m = F/a

m = 107.2/1.6 = 67 kg

so Naoki's mass must be the total mass - mass of the bike

so her mass is 67 - 9 = 58 kg...B

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Rewritten by : Barada

Final answer:

Using Newton's second law (F = ma), given the total force and the acceleration, we calculated the mass of Naoki by subtracting the bicycle's mass from the total mass. The result is that Naoki's mass is 58 kg.

Explanation:

To determine Naoki's mass, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). Here, Naoki is pedaling her bicycle with a force of 107.2 N and causing the bicycle to accelerate at 1.6 m/s2. Given that the mass of the bicycle is 9 kg, we can set up the equation as follows:

F = (mass of Naoki + mass of bicycle) × a

We can rearrange the equation to solve for Naoki's mass:

mass of Naoki = (F / a) - mass of bicycle

Now, substituting the given values:

mass of Naoki = (107.2 N / 1.6 m/s2) - 9 kg

mass of Naoki = 67 kg - 9 kg

mass of Naoki = 58 kg

Therefore, the correct answer is B. 58 kg.