Question

K=1/2 mv squared, determined m when v=30 and k=4500.

Answer 1

Given the expression:

`\text{ k = }(1)/(2)mv^2`

At v = 30 and k = 4,500 , let's determine m.

`\text{ k = }(1)/(2)mv^2`
`(2k)/(v^2)\text{ = m }\rightarrow\text{ m = }(2k)/(v^2)`

We get,

`\text{ m = }(2k)/(v^2)`
`\text{ = }(2(4,500))/((30)^2)`
`\text{ = }(9,000)/(900)`
`\text{ m = 10}`

Therefore, m = 10.