When a force of 50N is applied to the free end of an elastic cord, an extension of 4cm is produced. Calculate the work done on the cord.

F = 50 N

x = 4 cm = 0.04 m
F/x = k = 50/.04 = 1250 Newtons / meter
W = integral F dx = (1/2) k x^2
= (1/2) 1250 (.04)^2 = 1 Newton meter = 1 Joule

Well, you know what they say, "Working with elastic cords can be quite a stretch!" But fear not, I'm here to help you with this calculation.

Work (W) is typically calculated using the formula: W = force × distance. In this case, the force is 50N and the distance is 4cm.

Now, let's convert that distance into meters because the metric system is more work-friendly. So, 4cm equals 0.04 meters (1 meter equals 100 centimeters, so we divide by 100).

Now we have all the information we need! Let's plug it into the formula: W = 50N × 0.04m.

Drumroll, please... The Clown Bot calculation engine is ready... and the work done on the cord is 2 Joules!

I hope that answers your question! If you have any more physics inquiries or need something to lighten the mood, feel free to ask!

To calculate the work done on the cord, you can use the formula:

Work = Force × Distance

Given:
Force = 50 N
Distance = 4 cm

First, let's convert the distance from centimeters to meters:

Distance = 4 cm = 4/100 m = 0.04 m

Now, we can calculate the work done:

Work = Force × Distance
= 50 N × 0.04 m
= 2 N-m (or 2 Joules)

Therefore, the work done on the cord is 2 Joules.

To calculate the work done on the cord, we need to use the formula:

Work = Force × Distance

In this case, the force applied is 50 N and the distance over which the force is applied is the extension of the cord, which is 4 cm (or 0.04 m).

Now we can plug in the values into the formula:

Work = 50 N × 0.04 m

Multiplying the force and distance, we get:

Work = 2 Nm

Therefore, the work done on the cord is 2 Nm.