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Weight (Edexcel IGCSE Physics)
Revision Note
Weight
- Weight is defined as:
The force experienced by an object with mass when placed in a gravitational field
Weight and mass
- Weight and mass are different in physics
- Mass is a measure of how much matter there is in an object
- Mass has magnitude but not direction
- Therefore, mass is a scalar quantity
- Weight is a force
- Forces have magnitude and direction
- Therefore, weight is a vector quantity
Gravitational field strength
- Planets have strong gravitational fields
- Hence, they attract nearby masses with a strong gravitational force
- Different planets have different gravitational field strengths
- This depends on the mass of the planet
- More massive planets have stronger gravitational field
Weight, mass and gravitational field strength
- Because of weight:
- Objects stay firmly on the ground
- Objects will always fall to the ground
- Satellites are kept in orbit
Some of the phenomena associated with gravitational attraction and the weight force
- Weight, mass and gravitational field strength are related using the equation:
- Where:
- = weight, measured in newtons (N)
- = mass, measured in kilograms (kg)
- = gravitational field strength, measured in newtons per kilogram (N/kg)
- The gravitational field strength on Earth is 10 N/kg
- is also used to describe the acceleration of an object in freefall in a gravitational field
- The acceleration of freefall on Earth is 10 m/s2
- These quantities are two ways of describing the thing
- The weight that an object experiences depends on:
- The object's mass
- The mass of the planet attracting it
- The mass of an object and the weight acting on it are directly proportional
- If one doubles, the other also doubles
- If one is halved, the other is also halved
- The magnitude of the weight force depends on the gravitational field strength
Worked example
NASA's Artemis mission aims to send the first woman astronaut to the Moon. Isabelle hopes to one day become an astronaut. She has a mass of 40 kg.
Earth's gravitational field strength is 10 N/kg, and the Moon's gravitational field strength is 2 N/kg.
Discuss the difference between Isabelle's weight on Earth, and her weight on the Moon.
Answer:
Step 1: State the equation linking weight and mass
- The equation linking weight and mass is:
W = m × g
Step 2: List the known values
- Earth's gravitational field strength, g = 10 N/kg
- The Moon's gravitational field strength, g = 2 N/kg
- Mass, m = 40 kg
Step 3: Calculate Isabelle's weight on Earth
- Substituting the values of mass and Earth's gravitational field strength into the equation gives:
W = 40 × 10 = 400 N
Step 4: Calculate Isabelle's weight on the Moon
- Substituting the values of mass and the Moon's gravitational field strength into the equation gives:
W = 40 × 2 = 80 N
Step 5: Discuss the two values of weight
- Isabelle's weight is greater on Earth than on the Moon
- This is because the Earth has a larger gravitational field strength than the Moon, so Isabelle's weight force (the force of gravity pulling down on her) is larger on Earth than on the Moon
Examiner Tip
It is a common misconception that mass and weight are the same, but they are in fact very different
- Since weight is a force - it is a vector quantity
- Since mass is an amount - it is a scalar quantity
You do not need to remember the value of g on Earth; it will be given to you in the exam.
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