Question

Ek = 12 x m X v2. Re-arrange to give an equation for:

a) The mass m.
b) Velocity squared v2.
c) Velocity.

Answer 1

a)
`m = (2\cdot E_(k))/(v^(2))`, b)
`v^(2) = (2\cdot E_(k))/(m)`, c)
`v = \sqrt{(2\cdot E_(k))/(m ) }`

Step-by-step explanation:

a) Translational kinetic energy (
`E_(k)`), measured in joules, is represented by the following expression:

`E_(k) = (1)/(2)\cdot m \cdot v^(2)` (1)

Where:

`m` - Mass, measured in kilograms.

`v` - Velocity, measured in meters per second.

Now we clear the mass within the formula:

`E_(k) = (1)/(2)\cdot m\cdot v^(2)`

`2\cdot E_(k) = m\cdot v^(2)`

`m = (2\cdot E_(k))/(v^(2))`

b) Now we clear the velocity squared:

`v^(2) = (2\cdot E_(k))/(m)`

c) Now we clear the velocity:

`v = \sqrt{(2\cdot E_(k))/(m ) }`