Mass & Weight (AQA GCSE Combined Science: Synergy: Physical Sciences): Revision Note

Exam code: 8465

Weight

  • Weight is defined as:

The force acting on an object due to gravitational attraction

  • Planets have strong gravitational fields

    • So, they attract nearby masses with a strong gravitational force

  • Because of weight:

    • Objects stay firmly on the ground

    • Objects will always fall to the ground

    • Satellites are kept in orbit

Diagram illustrating Earth, with a satellite orbiting and an object falling towards the surface, labelled "Falling Objects" and "Satellite".
Some of the phenomena associated with gravitational attraction and the weight force
  • Mass (kg) is related to the amount of matter in an object

  • Weight (N) is the gravitational force exerted on an object with mass

    • The more mass an object has, the larger the weight force it will experience

  • Weight and mass are directly proportional

  • The size of the weight force depends on the gravitational field strength (g)

Measuring Weight

  • Mass is commonly measured using a top pan balance

    • The weight can be found indirectly by calculation

  • Weight can be measured directly using a calibrated spring-balance, also known as a newton-meter

    • This device is a type of weighing scale which measures force in Newtons

    • It consists of a spring fixed at one end with a hook to attach an object at the other

Digital scales showing 100g and a spring balance reading 1 newton with labelled parts; illustrating the relationship between mass and weight.
Weight can be measured indirectly using a top-pan balance or directly using a newton-meter

Examiner Tips and Tricks

Mass and weight are not the same and this is one of the most common misconceptions in GCSE Physics.

  • Mass is a measure of how much matter there is in a substance or object. It is measured in kilograms (kg) and is a scalar quantity.

  • Weight is the force experienced by an object with mass in a gravitational field. It is measured in newtons (N) and is a vector quantity.

Avoid using the term 'gravity' in your exam because it can mean different things. Specify either gravitational force / weight or gravitational field strength / acceleration due to gravity.

Since mass is measured in kilograms, if a value is given in grams convert it to kg by dividing by 1000.

Calculating Weight

  • Weight, mass and gravitational field strength are related using the equation:

Equation W = mg with arrows pointing to "Weight (N)," "Mass (kg)," and "Acceleration due to gravity on Earth (9.81 N/kg or ms⁻²)."
  • g is known as the acceleration due to gravity or the gravitational field strength

    • On Earth, g = 9.8 m/s2 (or N/kg)

Weight on other planets

  • An object’s mass always remains the same

    • However, its weight depends on the strength of the gravitational field on different planets

  • For example, the gravitational field strength on the Moon is 1.6 N/kg

    • This means that an object’s weight will be about 6 times less than on Earth

Man standing on Earth and Moon, illustrating weight differences; 70 kg mass, 687 N weight on Earth, 114 N on Moon due to gravity variation.
On the moon, your mass will stay the same but your weight will be much lower
  • The value of g (gravitational field strength) varies from planet to planet depending on their mass and radius:

Diagram of gravity on celestial bodies: Sun 293.0, Jupiter 24.7, Saturn 10.5, Uranus 9.0, Earth 9.8, Mars 3.7, Moon 1.7 N/kg.
Gravitational field strength of objects in our solar system

Worked Example

A student estimates they would have a weight of 190 N on Mars.

The gravitational field strength on Earth is 9.8 N/kg.

The gravitational field strength on Mars is 3.8 N/kg.

Calculate the weight of the student on Earth.

Answer:

Step 1: List the known quantities

  • Weight on Mars, WM = 190 N

  • Gravitational field strength on Mars, gM = 3.8 N/kg

  • Gravitational field strength on Earth, gE = 9.8 N/kg

Step 2: Write out the equation relating mass and weight and rearrange for mass

W = mg

  • Divide both sides by g:

m equals W over g

Step 3: Calculate the student’s mass

  • The student’s mass is the same anywhere in the universe

m equals W subscript M over g subscript M equals W subscript E over g subscript E

m equals fraction numerator 190 over denominator 3.8 end fraction equals 50 space kg

Step 4: Calculate the student’s weight on Earth

WE = m × gE = 50 × 9.8 = 490 N

Unlock more, it's free!

Join the 100,000+ Students that ❤️ Save My Exams

the (exam) results speak for themselves:

Katie M

Author: Katie M

Expertise: Physics Content Creator

Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.