To convert newtons (N) to joules (J), you need to multiply the force in newtons by the distance through which the force is applied in meters. In other words, the formula for converting newtons to joules is:

$$Energy (J) = Force (N) × Distance (m)$$

Here's how the conversion works:

- Newtons (N) represent the unit of force in the International System of Units (SI). One newton is equal to the force required to accelerate a mass of one kilogram at a rate of one meter per second squared (1 N = 1 kg·m/s²).

- Joules (J) represent the unit of energy in the SI. One joule is equal to the energy transferred or work done when a force of one newton is applied over a distance of one meter (1 J = 1 N·m).

So, if you have a force of 10 newtons acting over a distance of 5 meters, you can calculate the energy in joules by multiplying 10 N by 5 m:

$$Energy (J) = 10 N × 5 m = 50 J$$

In this example, 50 joules of energy is transferred or work is done as a result of the force of 10 newtons acting through a distance of 5 meters.

Remember that joules and newtons are different units; joules measure energy, while newtons measure force. This conversion formula allows you to determine the energy transferred or work done by a force acting over a certain distance.