Gravitation (2 of 17) Calculate Your Weight Two Different Ways

TL;DR

Learn how to calculate your weight on Earth using Newton's second law and Newton's law of universal gravitation.

Transcript

okay in today's video I'm going to do something amazing I'm gonna show you two different ways to calculate your weight on earth or the force of attraction gravitational attraction between you and the earth here's you and here's the earth this big green thing here is you look how happy you are you have a mass of 75 kilograms this is your mass a lot ... Read More

Key Insights

• 🏋️ Weight is a force, measured in Newtons, that accounts for gravitational attraction between objects.
• 👮 Newton's second law, force equals mass times acceleration, is utilized to calculate weight on Earth.
• 👮 Newton's law of universal gravitation considers the masses of two objects and the distance between their centers of mass to determine gravitational attraction.
• ☺️ The gravitational constant (6.67 x 10^-11 Nm^2/kg^2) plays a significant role in weight calculations using Newton's law of universal gravitation.
• 👮‍♂️ The acceleration due to gravity on Earth is 9.81 m/s^2, essential in determining weight accurately using Newton's laws.
• 💆 Calculating weight on Earth involves understanding the relationships between mass, force, and gravitational attraction.
• 👮 Newton's laws provide the foundation for calculating weight accurately, whether through direct force calculations or universal gravitation equations.

Questions & Answers

Q: What is the difference between weight and mass when calculating your weight on Earth?

Weight is a force measured in Newtons, while mass is the amount of matter in kilograms. To calculate weight on Earth, we must account for gravitational attraction using Newton's laws.

Q: How does Newton's second law help in calculating weight on Earth?

Newton's second law, force equals mass times acceleration, is crucial in determining weight on Earth as it considers the acceleration due to gravity (9.81 m/s^2) acting on an object.

Q: What does Newton's law of universal gravitation entail in weight calculations?

Newton's law of universal gravitation calculates the force of attraction between two objects based on their masses and the distance between their centers of mass, providing an alternate method for determining weight.

Q: How is the radius of the Earth considered in calculating weight using Newton's law of universal gravitation?

The radius of the Earth is used as the distance between the center of mass of the Earth and an object, like a person standing on Earth, to determine the gravitational attraction between them.

Summary & Key Takeaways

• Explanation of weight vs. mass and the importance of using Newton's second law to calculate weight on Earth.

• Detailed breakdown of Newton's law of universal gravitation and the role of gravitational constant.

• Comparing the two methods of calculating weight to show they yield the same result for an object on Earth.