Dear Mr-R. Welcome to Physics Forums.Mr-R said:Hello everyone,
What does it mean if I integrate Newton's law of universal gravitation with respect to r.
F= GMm/r^2 become 3GMm/r^3 . Is this the work needed to escape a gravitational pull ?
Thank you
Chestermiller said:Dear Mr-R. Welcome to Physics Forums.
You integrated incorrectly. Please try again.
Mr-R said:Oh that's quiet embarrassing. It should be = GMm/r which is the work. Thank you very much.
Newton's law of motion is a fundamental principle of physics that describes the relationship between an object's motion and the forces acting upon it. It states that an object will remain at rest or continue moving at a constant velocity unless acted upon by an external force.
Newton's law can be integrated into scientific experiments by using it as a framework for understanding and predicting the motion of objects. It can also be used to design experiments that test the effects of different forces on an object's motion.
Integrating Newton's law in scientific research allows for a better understanding of the fundamental principles of motion and how forces interact with objects. This knowledge is crucial in many fields of science, such as engineering, physics, and astronomy.
Yes, Newton's law can be applied to all types of motion, including linear, rotational, and orbital motion. It is a universal law that applies to all objects, regardless of their size or mass.
While Newton's law is an extremely useful and accurate principle, it does have limitations. It is only applicable in situations where there are no external forces acting on an object, and it does not take into account the effects of relativity and quantum mechanics.