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Which would require more force: accelerating a $10 g$ mass at $5 m / s^{2}$ or accelerating a $20 g$ mass at $2 m / s$ 2?

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20 g

mass

10 g

mass

Equal force required

Data insufficient

answer is B.

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Detailed Solution

[202][203]
Accelerating a

10 g

mass at

5 m / s^{2}

requires more force than accelerating a

20 g

mass at

2 m / s

2
Given,
For

10 g

mass

acceleration (a) = 5 m / s^{2}

We know

F = ma

\Rightarrow \frac{10}{1000} kg \times 5 m / s^{2}

\Rightarrow 0.05 N

given
For

20 g

mass

acceleration (a) = 2 m / s^{2}

We know that,

F = ma

\Rightarrow \frac{20}{1000} kg \times 2 m / s^{2}

\Rightarrow 0.04 N

Thus,

0.05 N

force required to accelerate

10 g

mass is more.

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Which would require more force: accelerating a 10 g mass at 5 m/s2 or accelerating a 20 g mass at 2 m/s2?

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Which would require more force: accelerating a $10 g$ mass at $5 m / s^{2}$ or accelerating a $20 g$ mass at $2 m / s$ 2?