Gravity pulls everything down. How hard it pulls is one number. Another number stays the same wherever you go. Sam packs a bag with exactly 5 kg of stuff.
What does that 5 kg measure?
Distinguish between mass (amount of matter, measured in kg) and weight (gravitational force, measured in N), use the equation weight = mass × gravitational field strength, and explain why g differs on other planets and stars
Mass and weight sound alike, but they are not the same thing. Mass is the amount of matter (stuff) packed into something, measured in kilograms (kg). Weight is the pull of gravity on that mass, measured in newtons (N). Your mass never changes, no matter where you go. Your weight does change, because it depends on how strong gravity is around you.
Sam packs a bag with a mass of 5 kg. On Earth, gravitational field strength is g = 10 N/kg, so the bag's weight is weight = mass x g = 5 x 10 = 50 N. If the bag's mass stayed exactly the same but it travelled to the Moon, where g is about 1.6 N/kg, its weight would drop to 5 x 1.6 = 8 N.
Read g as newtons per kilogram. On Earth, g = 10 N/kg means each kilogram is pulled with 10 newtons. To work backwards, divide: mass = weight / g. A crate weighing 120 N on Earth has a mass of 120 / 10 = 12 kg.
Use the units to check yourself. Kilograms (kg) always mean mass. Newtons (N) always mean weight. If a question gives you kg and asks for N, multiply by g.
Mass (kg) is fixed and measures how much matter you have. Weight (N) is a force that changes with gravity, found using weight = mass x g.
Reading summaries adapted from OpenStax University Physics Volume 1 (CC BY-NC-SA 4.0), openstax.org. Practice items x1-x4 are original to this dataset.
Gravity pulls everything down. How hard it pulls is one number. Another number stays the same wherever you go. Sam packs a bag with exactly 5 kg of stuff.
What does that 5 kg measure?
Weigh the same rock on Earth, the Moon, and Jupiter, and watch which number never moves.
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