Question

If E=mc^2,solve for both m and c. Also, if m=80 and c=0.40 what is the value of E?

Answer 1

`m = (E)/(c^2)`

`c = \sqrt{(E)/(m) }`

`E = 12.8 J`

Step-by-step 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

`m = (E)/(c^2)`

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

`c^2 = (E)/(m)\\  \\ c=\sqrt{(E)/(m)}`

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 :)