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A net force of
10N accelerates object to
5.0m//s^(2). What net force would be required to acceler ate the same object
1.0m//s^(2) ?

A net force of $10 \mathrm{~N}$ accelerates object to $5.0 \mathrm{~m} / \mathrm{s}^{2}$ . What net force would be required to acceler ate the same object $1.0 \mathrm{~m} / \mathrm{s}^{2}$ ?

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Transformations of functions

Full solution

Q. A net force of

10 \mathrm{~N}

accelerates object to

5.0 \mathrm{~m} / \mathrm{s}^{2}

. What net force would be required to acceler ate the same object

1.0 \mathrm{~m} / \mathrm{s}^{2}

?

Calculate Mass: Use Newton's second law, $F = ma$ , where $F$ is the force, $m$ is the mass, and $a$ is the acceleration. $\newline$ Given $F_1 = 10\,\text{N}$ and $a_1 = 5.0\,\text{m/s}^2$ , find the mass $m$ . $\newline$ $m = \frac{F_1}{a_1}$ $\newline$ $m = \frac{10\,\text{N}}{5.0\,\text{m/s}^2}$ $\newline$ $m = 2\,\text{kg}$
Find Force for Acceleration: Now, find the force $F_2$ needed to accelerate the same mass $m$ at $a_2 = 1.0 \, \text{m/s}^2$ . Use $F_2 = ma_2$ . $F_2 = m \times a_2$ $F_2 = 2 \, \text{kg} \times 1.0 \, \text{m/s}^2$ $F_2 = 2\,\text{N}$

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