# A 10 kg bowling ball would require what force to accelerate it down an alleyway at a rate of 3 m/s^2?

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Morgan Share
Jan 6, 2017

$\vec{F} = 30 N$

#### Explanation:

Forces cause objects to accelerate.

Newton's second law of motion states that the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object (Physics Classroom).

This is given by the familiar equation: $\vec{F} = m \vec{a}$.

Given a mass of $10 k g$ and an acceleration of $3 \frac{m}{s} ^ 2$, we can calculate the net force on the bowling ball from the above equation.

$\vec{F} = \left(10 k g\right) \left(3 \frac{m}{s} ^ 2\right)$

$\implies \vec{F} = 30 \frac{k g m}{s} ^ 2 = 30 N$

Therefore, $30 N$ of force is required to accelerate the bowling ball down the alleyway at a rate of $3 \frac{m}{s} ^ 2$.

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