大象传媒

Force and Newton's laws - CCEAMass and acceleration

In 1687, Isaac Newton created three laws of motion to describe the relationship between a body and the forces acting upon it, and how the body moves in response to those forces.

Part of Physics (Single Science)Force

Mass and acceleration

A second experiment can be carried out using the apparatus above, to investigate how the of an object depends on its , if the resultant force remains constant.

Use an accelerating force of 5 N and keep this constant.

Record acceleration as additional 0.5 kg masses are added to the trolley.

Graph

Plot a graph of mass m in kg on the y-axis against acceleration a in m/s2 on the x-axis.

Draw a smooth curve through the points.

The graph is not a straight line through the origin 鈥 mass and acceleration are not directly proportional.

A graph of mass m in kg on the y-axis against acceleration a in m/s2 on the x-axis

Plot a second graph of 1/mass in 1/kg on the y-axis against acceleration a in m/s2 on the x-axis. Draw the line of best fit

A graph of 1/mass in 1/kg on the y-axis against acceleration a in m/s2 on the x-axis

This graph is a straight line through the origin. Acceleration is directionally proportional to \(\frac{\text{1}}{\text{m}}\)

We say that mass and acceleration are inversely proportional.

If you double the mass, you half the acceleration.

In other words, a resultant force on a body will cause it to change its .

This simply means that unbalanced forces will cause:

  • acceleration
  • deceleration
  • change in direction