Gravitational and Inertial Masss

In summary, the relationship between gravitational mass and inertial mass can be defined as follows: gravitational mass is the property that determines how objects interact via gravity, while inertial mass is the property that causes objects to resist changes in motion. If the inertial mass and gravitational mass of a body are equal at rest, they will also be equal when the body is in motion. This can be seen when considering a mass on a platform in a gravitation-free space, where the mass will experience the same force regardless of the type of mass.
  • #1
nla
1
0

Homework Statement



Determine the relationship between inertial mass and gravitational mass.


Homework Equations



F=Ma

The Attempt at a Solution



To establish a relationship between gravitational and inertial mass they firstly need to be defined. Gravitational mass is the property of objects that determines how they interact via gravity, for example how the Moon rotates around Earth. Inertia is the property of matter that causes it to resist any change in its motion, therefore inertial mass is an objects property that determines how much the object resists any change in motion when force is applied. With the only difference between gravitational and inertial mass being the method used, there are many relationships. If the inertial mass of a body and its gravitational mass are strictly equal at rest, and then they are still equal when the body moves at high velocity.
 
Physics news on Phys.org
  • #2
What is Newton's law of universal gravitation?
 
  • #3
think of a mass on a platform and the platform is moving upward with an accln. g in a gravitation free space. what force the mass will experience (both magnitude and direction)?
 
  • #4
That has nothing to do with gravitational mass, bjd40. You are talking about inertial mass.
 
  • #5
yes i am. the question is to determine the relation btwn the masses (gravitational and inertial). i have started with the experience the inertial one faces and wondering whether the gravitational one faces the same experience. does it lead to anywhere? what is yr opinion? please correct me if i am off course.
 

Related to Gravitational and Inertial Masss

1. What is the difference between gravitational and inertial mass?

Gravitational mass refers to the amount of gravitational force an object experiences, while inertial mass is a measure of an object's resistance to changes in its state of motion.

2. How are gravitational and inertial mass related?

According to the Equivalence Principle, gravitational and inertial mass are equivalent and have the same value. This means that all objects experience the same acceleration due to gravity regardless of their mass.

3. Why is it important to distinguish between gravitational and inertial mass?

Understanding the difference between the two types of mass is crucial in the study of gravity and motion. It allows us to make accurate predictions about the behavior of objects in gravitational fields and to develop theories such as Einstein's General Theory of Relativity.

4. How is gravitational mass measured?

Gravitational mass can be measured by observing the gravitational force between two objects. By measuring the distance between the objects and their masses, the gravitational mass can be calculated using the formula F = G(m1m2)/r^2, where G is the gravitational constant.

5. Can gravitational and inertial mass be different for the same object?

No, based on the Equivalence Principle, the gravitational and inertial mass of an object must be the same. This has been confirmed by numerous experiments and is a fundamental principle in physics.

Similar threads

  • Introductory Physics Homework Help
Replies
5
Views
858
  • Introductory Physics Homework Help
Replies
4
Views
854
  • Classical Physics
Replies
6
Views
270
  • Introductory Physics Homework Help
Replies
28
Views
2K
  • Introductory Physics Homework Help
Replies
15
Views
415
  • Introductory Physics Homework Help
Replies
17
Views
795
  • Introductory Physics Homework Help
Replies
1
Views
767
  • Introductory Physics Homework Help
Replies
12
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
1K
Replies
2
Views
773
Back
Top