A force of 40N Will stretch it through 5.0cm and what work will be done in stretching the wire through 5.0M
F = k x
40 N = k * 0.05 m
k = 40/.05 = 800 Newtons/ meter
work = w = (1/2) k x^2
= 400 * 25 Joules
by the way I bet you have a typo, really cm and meters?
F = 40N/0.05m * 5m = 4000 N.
Work = F * D = 4000 * 5 = 20,000 J.
To find the work done in stretching the wire, we can use the equation:
Work = Force × Distance
Given:
Force = 40 N
Distance = 5.0 m
Let's plug in the values into the equation:
Work = 40 N × 5.0 m
To calculate the work, we multiply the force by the distance. So, the work done in stretching the wire through 5.0 m is:
Work = 200 N·m
Alternatively, we can convert the units of N·m to Joules (J) because energy and work are measured in Joules:
1 N·m = 1 J
So, the work done in stretching the wire through 5.0 m is also 200 J.