an elastic material of length 3m is to be stretched to produce an extension three times it's original length. Calculate the force required to produce the extension if the force constant of the material is 982.3 Newton per metre

F = 8840.7 N

Explanation:

The parameters given are:

Length L = 3 metres

Extension e = 3 × 3 = 9m

Force constant K = 982.3 Newton per metre

From Hook's law,

Provided the elastic limit is not extended, the extension is directly proportional to the force applied.

That is,

F = Ke

Substitute all the parameters into the formula

F = 982.3 × 9

F = 8840.7 N

we're given that v₀ = 0 and a = 5.4 m/s². therefore, since v = at + v₀ for constant acceleration the equation for velocity is

after 28s,

m/s

which i would round to 150 m/s as my final answer