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2.3.4Motion and Forces

Mass and Inertia

5 min read 6 parts Lesson 20 of 24 1 quiz

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Section 1 of 6Inertia (HT only)

Definition
  • Definition Inertia is the tendency of an object to stay at rest, or keep moving at a constant velocity, unless a resultant force acts on it.
  • It is the same idea as Newton's first law of motion.
At rest
  • At rest A stationary object stays stationary until a force makes it move.
    • Pull a tablecloth quickly and the crockery stays almost where it was.
In motion
  • In motion A moving object keeps the same speed in a straight line.
    • Passengers lurch forward when a car brakes because their bodies tend to keep moving.

Section 2 of 6Inertial mass (HT only)

Inertial mass, m = F ÷ a
Meaning
  • Meaning Inertial mass measures how hard it is to change an object's velocity.
Equation
  • Equation inertial mass (kg) = force (N) ÷ acceleration (m/s2).
Large mass
  • Large mass For a given force, a large inertial mass gives a small acceleration.
Small mass
  • Small mass For the same force, a small inertial mass gives a large acceleration.
Link to F = ma
  • Link to F = ma Rearranging F = m × a gives the same relationship, so calculating mass from force and acceleration finds the inertial mass.

Section 3 of 6Comparing objects

Same force applied toAccelerationInertial mass
Object A1.5 m/s2Medium
Object B0.7 m/s2Largest (smallest acceleration)
Object C2.0 m/s2Smallest (largest acceleration)

Section 4 of 6Using the equation

1
Write down the force and the acceleration, checking both are in base units (newtons and m/s2).
2
State the equation m = F ÷ a.
3
Substitute the values: a 12 N force producing 4 m/s2 gives m = 12 ÷ 4.
4
Calculate and include the unit: m = 3 kg.
5
If asked which object has the greater inertial mass, argue from the equal-force comparison: the one with the smaller acceleration.

Section 5 of 6Key terms

TermMeaning
InertiaThe tendency of an object to resist any change in its state of rest or uniform motion.
Inertial massThe ratio of the resultant force applied to an object to the acceleration it produces.
Resultant forceThe single force that has the same effect as all the forces acting on an object.
AccelerationThe rate of change of velocity, measured in m/s2.
Uniform motionMotion at constant speed in a straight line.

Section 6 of 6Exam technique

1
Saying inertia is a forceit is a property of matter, not a push or pull.
2
Thinking a moving object needs a force to keep it moving: a force is only needed to change its velocity.
3
Concluding the object with the largest acceleration has the largest inertial mass: it has the smallest.
4
Confusing mass with weightmass is in kg and does not change, weight is a force in newtons.
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