Final Answer:
Weight is a measure of the gravitational force between the object and the earth. The acceleration of gravity on Earth is 9.8 m/s². Weight is measured in units of newtons (N). If one object has more mass than another then it weighs more than the other object.
As an astronaut goes to the moon, his mass stays the same but his weight decreases. This is because as he got further away from the Earth, the acceleration of gravity decreases.
Part 1: Weight Problems
1. Force (F) = ?
Mass (m) = 75 kg
Gravity (g) = 9.8 m/s²
Formula: F = m × g
Substitution: F = 75 × 9.8
Answer: 735 N
2. Force (F) = 490 N
Mass (m) = ?
Gravity (g) = 9.8 m/s²
Formula: m = F ÷ g
Substitution: m = 490 ÷ 9.8
Answer: 50 kg
3. What is the force on a 1 kg ball that is falling freely due to the pull of gravity?
Force (F) = ?
Mass (m) = 1 kg
Gravity (g) = 9.8 m/s²
Formula: F = m × g
Substitution: F = 1 × 9.8
Answer: 9.8 N
4. What is the mass of a person who weighs 500 N?
Force (F) = 500 N
Mass (m) = ?
Gravity (g) = 9.8 m/s²
Formula: m = F ÷ g
Substitution: m = 500 ÷ 9.8
Answer: ≈ 51.02 kg
Parent Tip: Review the logic above to help your child master the concept of mass and weight worksheet.