Why Is Gravitational Force Equal to Mass Times Acceleration?

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SUMMARY

The gravitational force acting on an object is defined by the equation F = m * g, where F represents the gravitational force, m is the mass of the object, and g is the acceleration due to gravity. This relationship is grounded in Newton's laws of motion, specifically the second law, which states that force equals mass times acceleration. In the context of gravitational force, the acceleration is constant at approximately 9.81 m/s² near the Earth's surface, leading to the conclusion that gravitational force is directly proportional to mass.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of physics concepts such as force and acceleration
  • Familiarity with the equation F = m * a
  • Concept of gravitational acceleration (g = 9.81 m/s²)
NEXT STEPS
  • Study Newton's second law of motion in detail
  • Explore the concept of gravitational acceleration and its variations
  • Learn about the implications of mass in gravitational force calculations
  • Investigate real-world applications of gravitational force in physics
USEFUL FOR

Students of physics, educators teaching Newtonian mechanics, and anyone interested in understanding the fundamental principles of gravitational force and motion.

Quantum Velocity
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Why is gravitational force equal mass multiply gravitational acceleration
F=m.g
 
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Give some background for your question, which is pretty broad. Are you familiar with Newton's laws?
 
i don't understand it very much
 
If a mass m is falling with acceleration a=g, and F=ma, then the force on the body must be F =mg.
 

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