Newton's First Law (College Board AP® Physics 1: Algebra-Based)

Study Guide

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Ann Howell

Written by: Ann Howell

Reviewed by: Caroline Carroll

Newton's first law

  • Newton’s first law of motion states:

If the net force exerted on a system is zero, the velocity of that system will remain constant

  • A constant velocity could also be a velocity of zero i.e. when the system is stationary

  • If the net force acting on an object is zero, it is said to be in translational equilibrium

A football obeying Newton's first law

A soccer ball at rest on grass with balanced forces and at constant velocity with arrows pointing in opposite directions, illustrating zero resultant force.
An object with a net force of zero has a constant velocity

Worked Example

If there are no external forces acting on the car other than friction, and it is moving at a constant velocity, what is the value of the magnitude of the frictional force Ff when the driving force is 6 kN?

we-newtons-first-law-question

A      –6 N

B      –6 kN

C      6 kN

D      12 kN

The correct answer is C

Answer:

  • Since the car is moving at a constant velocity, there is no resultant force. This means that the driving force and the frictional forces are balanced

  • The question asks for the magnitude of the frictional force, therefore, Ff = 6 kN

Examiner Tips and Tricks

This law may sound counter-intuitive for an object that is moving at constant velocity. How can it be moving if the forces on it are balanced?

This is because a resultant force causes an acceleration. An object moving at constant velocity has no acceleration, so its forces must be balanced, which means the resultant force is zero. The drag forces are invisible to us, which makes this tricky to see.

Inertial reference frame

  • An inertial reference frame is a non-accelerating reference frame

    • A reference frame is a coordinate system in which an observer makes position and time measurements of physical events

  • In an inertial reference frame, an observer can verify Newton’s first law of motion

    • Newton's first law is also called the law of inertia

  • Inertia is the tendency of an object to

    • remain in a constant state of motion

    • resist a change in motion

  • For example, a moving vehicle travelling at a constant velocity provides an inertial reference frame for the passengers inside

    • The passengers and the car are moving together

Inertia and mass

  • Objects with a greater mass have a greater inertia

    • Objects with a greater mass have a greater tendency to resist a change in motion

  • It is more difficult to move a box with a greater mass than it is to move a box with a smaller mass

Moving boxes of different masses

Two illustrations show different forces applied to boxes. The first shows a person applying a small force to move a 5 kg box. The second shows a person applying a large force to move a 50 kg box.
An object with a greater mass requires a greater force to get it to start moving

Worked Example

Explain why it is more difficult to stop a fully loaded dump truck than a small passenger car.

Answer:

  • A fully loaded dump truck is more difficult to stop than a small passenger car because it has a greater mass

  • Objects with a greater mass have greater inertia

  • Objects with greater inertia have a greater tendency to resist the change in motion

Diagram showing a car with a box on the roof. As the car accelerates and stops, the box moves backwards and forwards, indicating inertia.

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Ann Howell

Author: Ann Howell

Expertise: Physics Content Creator

Ann obtained her Maths and Physics degree from the University of Bath before completing her PGCE in Science and Maths teaching. She spent ten years teaching Maths and Physics to wonderful students from all around the world whilst living in China, Ethiopia and Nepal. Now based in beautiful Devon she is thrilled to be creating awesome Physics resources to make Physics more accessible and understandable for all students, no matter their schooling or background.

Caroline Carroll

Author: Caroline Carroll

Expertise: Physics Subject Lead

Caroline graduated from the University of Nottingham with a degree in Chemistry and Molecular Physics. She spent several years working as an Industrial Chemist in the automotive industry before retraining to teach. Caroline has over 12 years of experience teaching GCSE and A-level chemistry and physics. She is passionate about creating high-quality resources to help students achieve their full potential.