A force of 3N stretches an elstics material by 40mm. What additional force will stretch the material 45mm? Assuming the elastic limit is not exceeded.

1 answer

To find the additional force needed to stretch the material by 45mm, we can use the concept of proportionality between force and extension.

We can set up a proportion:
(Force1 / Extension1) = (Force2 / Extension2)

Using the given values, we have:
(3N / 40mm) = (Force2 / 45mm)

Cross-multiplying, we get:
3N * 45mm = Force2 * 40mm

Simplifying, we find:
Force2 = (3N * 45mm) / 40mm

Calculating, we get:
Force2 = 3.375N

Therefore, an additional force of 3.375N will stretch the material by 45mm.