Question

Solve a = mg - kv^ ÷ m... if a = 2.8, m = 12, g = 9.8, I = 8/3 find v​

Answer 1

Given :

An equation ,
`a=mg-(kv^2)/(m)` .

To Find :

The value of v in above equation if a = 2.8, m = 12, g = 9.8, k
`v=\sqrt{(12(12* 9.8-2.8))/((8)/(3))}\\\\v= \$22.73` = 8/3 .

Solution :

Simplifying the given statement in terms of v = ..... .

`(kv^2)/(m)=mg-a\\\\v^2=(m(mg-a))/(k)\\\\v=\sqrt{(m(mg-a))/(k)}` ...... 1 )

Putting all given values in above equation , we get :

`v=\sqrt{(12(12* 9.8-2.8))/((8)/(3))}\\\\v= 22.73`

Therefore , the value of v is 22.73 .

Hence , this is the required solution .