Advertisement
Higher Bitesize
Print

Physics

Forces

Page:

  1. 1
  2. 2
  1. Next

Newton's Second Law

Newton's First Law of motion predicts the behaviour of objects for which all existing forces are balanced. The First Law states that objects with balanced forces acting on them will stay at rest, or in constant motion.

Newton discovered that objects will continue to do what they are doing until a net, or unbalanced force, acts on the object.

From this we can determine that:

  • forces act on objects
  • forces cause changes

We can also determine that forces acting on an object can change:

  • the shape of the object
  • the speed of the object
  • the direction in which the object is moving

When an unbalanced force acts on an object Newton discovered that:

  • the direction of the object's acceleration is the same as the direction of the unbalanced force
  • the magnitude of the object's acceleration varies in direct proportion with the size of the unbalanced force
  • the magnitude of the object's acceleration varies inversely with the mass of the object

This is Newton's Second Law.

The unit of force is called the newton (N).

1 newton is defined as that unbalanced force which produces an acceleration of 1 ms-2 when it acts on a mass of 1 kg. An average sized apple weighs about 1 newton.

Newton's Second Law can be written as the following relationship:

F = ma

F = unbalanced force

m = mass

a = acceleration

When you use this relationship - F always stands for unbalanced force.

Question

An aircraft of mass of 1200 kg starts from rest and accelerates along a straight horizontal runway. The aircraft engine produces a constant thrust of 3400 N. A constant frictional force of 400 N acts on the aircraft.

Calculate the acceleration of the aircraft.

toggle answer

Answer

m = 1200 kg

Fengine = 3400 N

Ffriction = 400 N

F = (3400 - 400) = 3000 N

 

F = ma

3000 = 1200 × a

a = 2.5 ms-2

In some situations, forces on an object act in more than one dimension. For example, for an aircraft in flight there are at least four forces acting:

  • the forces of the engine (horizontal force)
  • air resistance (horizontal force)
  • the force of gravity (vertical force)
  • the up-thrust from the wings (vertical force)

When you are doing this kind of problem, always work in one dimension at a time.

Question

A submarine is travelling horizontally at a steady speed of 10 ms-1 due West at a constant depth of 15 m below the surface of the sea.

Draw a labelled diagram to show the forces acting on the submarine. You must name each force and show the direction in which each force is acting.

toggle answer

Answer
forces acting on a submarine

Question

Now state the resultant force acting on the submarine.

toggle answer

Answer

The horizontal motion is at a constant speed in a straight line, as such the horizontal forces balance.

The depth below the surface of the sea is constant so vertical forces are balanced.

Therefore, the resultant force on submarine is zero.

The words 'buoyancy' and 'gravity' on their own are not forces - you must always state 'buoyancy force' or 'gravity force' when you use these terms to label forces.

Page:

  1. 1
  2. 2
  1. Next

Back to Mechanics and properties of matter index

Explore the BBC

This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.