Calculations of Force, Mass, and Gravity

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Questions and Answers

What is the weight of an object with a mass of 75 kg on Earth, where gravity is $9.8 ext{ m/s}^{2}$?

  • 800 N
  • 850 N
  • 735 N (correct)
  • 600 N

What is the force acting on a 1 kg ball that falls freely due to gravity?

  • 1 N
  • 19.6 N
  • 9.8 N (correct)
  • 0 N

If the weight of an object is 500 N, what is its mass on Earth where gravity is $9.8 ext{ m/s}^{2}$?

  • 51.02 kg (correct)
  • 55 kg
  • 45 kg
  • 60 kg

What is the astronaut's weight on the moon where gravity is $1.6 ext{ m/s}^{2}$, given that the astronaut weighs 75 kg on Earth?

<p>120 N (C)</p> Signup and view all the answers

What is the acceleration of gravity on a distant planet where a spaceship has a mass of 9000 kg and a weight of 390,000 N?

<p>39 m/s² (C)</p> Signup and view all the answers

Flashcards

Weight

The force acting on an object due to gravity. It is measured in Newtons (N).

Mass

The amount of matter in an object. It is measured in kilograms (kg).

Earth's Gravity

The acceleration due to gravity on Earth. It is approximately 9.8 m/s². This means that an object on Earth will accelerate downwards at a rate of 9.8 meters per second every second.

Force of Gravity

The force acting on an object due to gravity. It is measured in Newtons (N).

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Acceleration due to Gravity

The rate at which an object changes its velocity. It is measured in meters per second squared (m/s²).

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Study Notes

Calculations Involving Force, Mass, and Gravity

  • Formula: Force (F) = mass (m) × acceleration due to gravity (g)
  • Problem 1: An object with a mass of 75 kg on Earth (gravity = 9.8 m/s²) has a weight of 735 N.
  • Problem 2: A 1 kg ball falling due to gravity experiences a force of 9.8 N.
  • Problem 3: An object weighing 500 N on Earth (gravity = 9.8 m/s²) has a mass of 51.02 kg.
  • Problem 4: An astronaut weighing 75 kg on Earth would weigh 120 N on the moon (gravity = 1.6 m/s²).
  • Problem 5: A spaceship with a mass of 9000 kg and a weight of 390,000 N on a distant planet has an acceleration due to gravity of 43.33 m/s².

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