Answer:
[tex]m = \frac{E}{c^2}[/tex]
[tex]c = \sqrt{\frac{E}{m} }[/tex]
[tex]E = 12.8 J[/tex]
Explanation:
Part 1: Solving for m
We are given that:
E = mc²
To solve for m, we will need to isolate the m on one side of the equation
This means that we will simply divide both sides by c²
[tex]m = \frac{E}{c^2}[/tex]
Part 2: Solving for c
We are given that:
E = mc²
To solve for c, we will need to isolate the m on one side of the equation
This means that first we will divide both sides by m and then take square root for both sides to get the value of c
[tex]c^2 = \frac{E}{m}\\ \\ c=\sqrt{\frac{E}{m}}[/tex]
Part 3: Solving for E
We are given that:
m = 80 and c = 0.4
To get the value of E, we will simply substitute in the given equation:
E = mc²
E = (80) × (0.4)²
E = 12.8 J
Hope this helps :)
