Worksheet: The Relationship between Mass and Weight

In this worksheet, we will practice applying Newton's second law of motion to define gravitational field strength as the force acting on an object per kilogram of its mass.

Q1:

What is the gravitational field strength on a planet where an object with a mass of 25 kg has a weight of 300 N?

Q2:

A man standing on the ground applies a force of 735 N to the ground beneath him due to his weight. What is the mass of the man?

  • A 735 kg
  • B 7 2 0 3 kg
  • C 9.5 kg
  • D 75 kg
  • E 150 kg

Q3:

A chair has a mass of 50 kg. What force does the chair’s weight apply to the ground below it?

  • A 9.8 N
  • B 50 N
  • C 560 N
  • D 490 N
  • E 500 N

Q4:

An astronaut on Earth, where the gravitational field strength is 9.8 N/kg, has a mass of 65 kg and a weight of 637 N. The astronaut is sent to a space station, where the gravitational field strength is 9.5 N/kg.

What is the astronaut’s mass on the space station?

What is the astronaut’s weight on the space station?

Q5:

An astronaut who has a mass of 81.25 kg goes to the Moon, where the acceleration due to gravity is 1.6 m/s2. What force does the astronaut’s weight apply to the lunar surface beneath the astronaut’s feet?

Q6:

An astronaut who has a mass of 80 kg goes to Mars. On Mars, the astronaut applies a force of 296 N to the ground beneath her due to her weight. What is the acceleration due to gravity at the surface of Mars?

Q7:

The gravitational field strength of a planet becomes weaker as the distance from the planet’s surface increases. Several thousand kilometers above a planet, its gravitational field strength is 2.4 N/kg. What force, in kilonewtons, toward the planet’s surface is experienced by a spacecraft with a mass of 25 000 kg?

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