Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Distance is a scalar quantity representing the total path length, while displacement is a vector quantity representing the change in position in a specific direction.
Speed is defined as the distance traveled per unit of time () and is measured in .
Velocity is speed in a specified direction. It changes if either the speed or the direction of motion changes.
Acceleration is the rate of change of velocity over time, measured in . It is calculated using .
A force is a push or a pull acting upon an object resulting from its interaction with another object. Forces are measured in Newtons ().
Newton's Second Law states that the acceleration of an object is directly proportional to the resultant force and inversely proportional to its mass: .
Mass is the amount of matter in an object (measured in ), whereas weight is the force of gravity acting on that mass ().
Friction is a force that opposes the motion of an object. It always acts in the opposite direction to the direction of motion.
Balanced forces result in a zero resultant force, meaning an object at rest stays at rest, and an object in motion continues at a constant velocity.
📐Formulae
💡Examples
Problem 1:
A car travels a distance of in a time of . Calculate its average speed.
Solution:
Explanation:
To find the speed, we use the formula , substituting the given distance and time.
Problem 2:
An object with a mass of is pushed with a resultant force of . What is the acceleration of the object?
Solution:
Explanation:
Using Newton's Second Law , we rearrange the formula to solve for acceleration: .
Problem 3:
On Earth, where the gravitational field strength is approximately , calculate the weight of a suitcase.
Solution:
Explanation:
Weight is the product of mass and the gravitational acceleration constant ().