Physics, asked by paechuarsenal6066, 10 months ago

a. State Newton's second law of motion. Hence derive the equation of motion F = ma from it.b. A body is moving along a circular path such that its speed always remains constant. Should there be a force acting on the body?

Answers

Answered by gadakhsanket

Hii dear,

● Newton’s second law of motion-
- The net external force applied on an object is directly proportional to the rate of change of linear momentum of the object.

● Deriving F=ma -
By above law
F = k × dp/dt
F = k × d(mv)/dt
F = k × m × dv/dt
But dv/dt = a
F = k × m × a
Experimentally calculated k = 1
F = m × a

● Circular motion with constant speed-
- Though speed is constant along the path, velocity is not.
- So the body have non-zero acceleration leading to non-zero external force.
- This force is called centripetal force.

Hope that is helpful...

Answered by ElegantDoll

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❤. Newtonś Second Law :

"The rate of change of momentum of a body is directly proportional to the external force acting on the body and it is in the direction ,in which the force acts"

❤. yes , there should be a force acting on it

REASON: when a body is moving along a circular path , the direction of velocity at a point is along the tangent at that point .

⭐so the direction of velocity continuously changes from point to point .
⭐So the body has acceleration which is directed towards the centre of the circle.
⭐The acceleration is called centripetal acceleration.
⭐As there is acceleration, there must be a force acting on the body towards the centre of the circle .
⭐The force is called centripetal force.

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