Kinetic energy = 1/2 m v²
If we reduce the mass by half > m/2
Kinetic energy = 1/2 m/2 v²
We should know that 1/2 × 1/2 = 1/4
So kinetic energy will be :
1/4 × m × v²
A. scatter plot (100% positive, btw quizzes is a good tool for answers)
Dimensional analysis is a method of checking the dimensions of each value in an equation. I will give you an example.

Is a know equation which equates energy and mass. So our question is, is this true or not? The method is following:
knowing that c has the dimension of [m/s] and m has [kg], what is the dimension of E? So here the dimensional analysis begins.
![E = mc^2 \Rightarrow [E] = \text{kg} \cdot \left( \frac{\text{m}} {\text{s}}\right)^2 = \text{kgms}^{-2}](https://tex.z-dn.net/?f=E%20%3D%20mc%5E2%20%5CRightarrow%20%5BE%5D%20%3D%20%5Ctext%7Bkg%7D%20%5Ccdot%20%5Cleft%28%20%5Cfrac%7B%5Ctext%7Bm%7D%7D%20%7B%5Ctext%7Bs%7D%7D%5Cright%29%5E2%20%3D%20%5Ctext%7Bkgms%7D%5E%7B-2%7D)
This can be used also to solve "equations" to prove certain dimensions of unknown constants.
Answer:
Force = Mass * Acceleration,
Your force is 74 Newtons because force is measured in newtons, your mass is 20kg,
Plug it into the formula
74N= 20KG* ?M/S^2
Divide both sides by 20 to Isolate the Variable,
Your Acceleration would be 3.7 M/s^2
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