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?
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Answered by
35
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...
● 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
8
❤. 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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