1. An object accelerates 5.0 m/s when a force of 20.0 newtons is applied to it.
What is the mass of the object?

2. An object accelerates 2.0 m/s when a force of 12.0 newtons is applied to it.
What is the mass of the object?

3.An object accelerates 16.3 m/s when a force of 4.6 newtons is applied to it.
What is the mass of the object?

Respuesta :

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.