Question

7. Use the equation E =2- my for the following questions:2(a) Rearrange the equation so that it's solved for m.Show your work here:Solution:m =

Answer 1

Solution: (a)

Given the equation;

`E=(1)/(2)mv^2`

Multiply both sides of the equation by 2;

`\begin{gathered} 2* E=2((1)/(2))mv^2 \\ 2E=mv^2 \end{gathered}`

Divide both sides by the square of the velocity v;

`\begin{gathered} (2E)/(v^2)=(mv^2)/(v^2) \\ m=(2E)/(v^2) \end{gathered}`

ANSWER:

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

(b) Given;

`E=125,000J,v=24ms^(-1)`

We would substitute the value of the energy and the velocity into the formula for mass, we have;

`\begin{gathered} m=(2E)/(v^2) \\ m=(2(125000))/(24^2) \\ m=(250000)/(576) \\ m=434.03 \end{gathered}`