Answer:
1. mass = 4
2. mass = 6
3. mass = 0.28
Explanation:
All these questions require the equation:
F=ma
Where F is force, m is mass and a is accleration. If we do some algebra, we can modify this equation to find mass by dividing both sides by a.
[tex]F=ma --> \frac{F}{a} =\frac{ma}{a} --> \frac{F}{a} = m[/tex]
The a on the left side cancels out and leaves us with [tex]\frac{F}{a}=m[/tex]. Now we can plug in the numbers given to find the mass.
1.[tex]\frac{F}{a} =m-->\frac{20.0}{5.0}=m-->m=4[/tex]
2.[tex]\frac{F}{a} =m -->\frac{12.0}{2.0} =m -->m=6[/tex]
3.[tex]\frac{F}{a}=m--> \frac{4.6}{16.3}=m--> m=0.28[/tex]
So the answers are m=4, m=6, and m=0.28.