A force of 18N extends a wire by 0.4cm.what force will extend the wire by 1.25cm,if the elastic limit is not exceed

Answer 1

To find the force that will extend the wire by 1.25cm, we can first calculate the spring constant (k) of the wire using the given information.

The formula for calculating the spring constant is:

F = k * x

Where:
F = force applied (18N)
k = spring constant
x = extension (0.4cm)

Rearranging the formula to solve for k, we get:

k = F / x
k = 18N / 0.4cm
k = 45 N/cm

Now that we have the spring constant, we can find the force required to extend the wire by 1.25cm using the same formula:

F = k * x
F = 45 N/cm * 1.25cm
F = 56.25 N

Therefore, a force of 56.25N will extend the wire by 1.25cm without exceeding the elastic limit.