A tug is capable of building a ship with a force of 100 KN.if two such tugs are pulling on one ship,they can produce any force ranging from a minimum of 0 KN to a maximum of 200 KN.give a detailed explanation of how this is possible. Use diagram to support your result?

if they pull in opposite directions with 180º between the forces

the net force is zero

if they pull in the same direction
with 0º between the forces
the net force is 200KN

angles in between produce net forces in between

To understand how two tugs can produce a force ranging from 0 KN to 200 KN, we first need to understand how forces combine when multiple forces act on an object.

When two forces act on an object in the same direction, their magnitudes add up to produce a combined force. This is known as vector addition. Similarly, when forces act in opposite directions, the magnitudes subtract from each other.

Let's consider the scenario where two tugs are pulling on a ship. We'll assume each tug is capable of applying a force of 100 KN.

When the tugs pull in the same direction, their forces add up. Therefore, the maximum force they can produce is the sum of their individual forces, which is 100 KN + 100 KN = 200 KN. This occurs when both tugs' forces are aligned and pulling in the same direction.

Here's a diagram to illustrate this scenario:

Tug 1 Tug 2
-----> ----->
100 KN 100 KN
Force Force
(towards (towards
right) right)

When the tugs pull in opposite directions, their forces subtract from each other. Therefore, the minimum force they can produce is the difference between their individual forces. In this case, it would be 100 KN - 100 KN = 0 KN. This happens when both tugs' forces are aligned but pulling in opposite directions, canceling each other out.

Here's a diagram to illustrate this scenario:

Tug 1 Tug 2
-----> ----->
100 KN 100 KN
Force Force
(towards (towards
right) left)

By manipulating the directions in which the tugs pull, any force between 0 KN and 200 KN can be achieved.