Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
A force is defined as a push or a pull on an object resulting from its interaction with another object. An interaction of one object with another object results in a force between the two objects.
Force has both magnitude (strength) and direction. It is a vector quantity. If the direction or magnitude of the applied force changes, its effect also changes.
The SI unit of force is the Newton, represented by the symbol .
Net Force (): If two forces act on an object in the same direction, the net force is the sum of the two forces. If they act in opposite directions, the net force is the difference between the two forces.
Effects of Force: (1) A force can move a stationary object. (2) It can stop a moving object. (3) It can change the speed of an object. (4) It can change the direction of motion of an object. (5) It can change the shape or size of an object.
Force per unit area is called pressure (), which is related to the force () applied perpendicularly to a surface of area ().
📐Formulae
💡Examples
Problem 1:
Two boys, A and B, are pushing a heavy box. Boy A exerts a force of and Boy B exerts a force of in the same direction. What is the net force acting on the box?
Solution:
Given and . Since they are in the same direction, .
Explanation:
When forces are applied in the same direction, they add up to produce a larger resultant force.
Problem 2:
In a tug-of-war, Team X pulls the rope with a force of towards the left, while Team Y pulls with a force of towards the right. Calculate the net force and specify the direction of motion.
Solution:
. The direction of the net force is towards the left (direction of the larger force).
Explanation:
When forces act in opposite directions, the net force is the difference between them, and the object moves in the direction of the greater force.
Problem 3:
Identify the effect of force in the following scenario: A goalkeeper dives to save a football heading towards the goal.
Solution:
The force applied by the goalkeeper stops the moving ball or changes its direction.
Explanation:
This demonstrates that a force can change the state of motion (speed or direction) of an object.