Find the size of the net force produced by a 4 N and a 14 N force in each of the following arrangements.
To find the size of the net force produced by two forces, you need to use vector addition. The net force is the vector sum of the individual forces. The size of the net force can be determined by finding the magnitude of the resultant vector.
Let's consider the following arrangements:
1) When the forces act in the same direction:
In this case, the net force is the sum of the two forces. Simply add the magnitudes of the forces together.
Net force = 4 N + 14 N
2) When the forces act in opposite directions:
In this case, the net force is the difference between the two forces. Subtract the magnitude of the smaller force from the magnitude of the larger force.
Net force = |14 N - 4 N|
3) When the forces act at right angles to each other:
In this case, you need to use the Pythagorean theorem to find the magnitude of the net force. Square each force, add them together, and then take the square root of the sum.
Net force = √(4 N^2 + 14 N^2)
By following these steps, you can find the size of the net force in each of the given arrangements.