Define central force
Answers
Answer:
The central force in classical mechanics is defined as the force that is acting on an object which is directed along the line joining the object and the origin. The magnitude of the central force depends only on the distance of the object and the centre.
Central Force Equation
F=F(r)r^
Where,
F: conservative central force
r: vector magnitude |r| is the distance to the center of force
r^=rr
Central force is a conservative force which is expressed as follows:
F(r)=−dUdr
Where,
F(r) is the magnitude of a central force
U(r) is the time-independent potential energy
For a particle under central force to be in a uniform circular motion should have centripetal force as follows:
mv2r=F(r)
Where,
r is the initial radius
v is the speed that satisfies the equation of centripetal force
Answer:
n classical mechanics, a central force on an object is a force that is directed along the line joining the object and the origin: where is the force, F is a vector valued force function, F is a scalar valued force function, r is the position vector, ||r|| is its length, and = r/||r|| is the corresponding unit vector.
Explanation: