Let
F--------> represent the force
m--------> represent the mass
a-------> represent the acceleration
we know that
The formula that relates three quantities: Force (F), mass (m), and acceleration (a) is equal to
![F=ma](https://tex.z-dn.net/?f=%20F%3Dma%20)
<u>Part a)</u> Solve this equation for a
![F=ma](https://tex.z-dn.net/?f=%20F%3Dma%20)
Divide both sides by the mass
![a=\frac{F}{m}](https://tex.z-dn.net/?f=%20a%3D%5Cfrac%7BF%7D%7Bm%7D)
therefore
<u>the answer part a) is equal to</u>
![a=\frac{F}{m}](https://tex.z-dn.net/?f=%20a%3D%5Cfrac%7BF%7D%7Bm%7D)
<u>Part b) </u>Let the force be 25 units and the mass be m = 10 units. What is the acceleration, a?
we know that
the formula of acceleration is equal to
![a=\frac{F}{m}](https://tex.z-dn.net/?f=%20a%3D%5Cfrac%7BF%7D%7Bm%7D)
in this problem
we have
![F=25\\m=10](https://tex.z-dn.net/?f=%20F%3D25%5C%5Cm%3D10)
Substitute the values n the formula
![a=\frac{25}{10}](https://tex.z-dn.net/?f=%20a%3D%5Cfrac%7B25%7D%7B10%7D)
![a=2.5](https://tex.z-dn.net/?f=%20a%3D2.5)
therefore
<u>the answer part b( is equal to</u>
![a=2.5](https://tex.z-dn.net/?f=%20a%3D2.5)
<u>Part c)</u> Let the force be F = 25 units and the acceleration be a = 5 units. What is the mass, m?
we know that
![F=ma](https://tex.z-dn.net/?f=%20F%3Dma%20)
Solve for m
Divide both sides by the acceleration
![m=\frac{F}{a}](https://tex.z-dn.net/?f=%20m%3D%5Cfrac%7BF%7D%7Ba%7D)
in this problem
we have
![F=25\\a=5](https://tex.z-dn.net/?f=%20F%3D25%5C%5Ca%3D5)
Substitute the values n the formula
![m=\frac{25}{5}](https://tex.z-dn.net/?f=%20m%3D%5Cfrac%7B25%7D%7B5%7D)
![m=5](https://tex.z-dn.net/?f=%20m%3D5)
therefore
<u>the answer Part c) is </u>
![m=5](https://tex.z-dn.net/?f=%20m%3D5)