A spring requires a force of 25 N to produce an extension of 2 cm in it. What is the work done in further extending it by 3 cm.

Question

anonymous · Answer

applesbfhj

rock_mit182 · Answer

$$F = k x$$The equation to find this :
 Where F = Spring's force
           x = displacement
           k = constant

rock_mit182 · Answer

now, 1 newton(N) =
$$Kg*\frac{ m }{ s ^{2} }$$

rock_mit182 · Answer

so to have the same units in the equation you need to convert 2 cm to meters

rock_mit182 · Answer

$$25 Kg \frac{ m }{ s ^{2} } = k * 2 cm(\frac{ 1m }{ 100cm})$$so you'll have: the displacemnt in meters cause the centimiters cancel each other out,

now solve for k to find the constant,

and finally multiply  the value of the constant with the displacement 3cm

Don't forget to convert 3 cm to meters