A person applies a constant force vector F on a particle of mass m and

1.	A person applies a constant force vector F on a particle of mass m and finds that the particle moves in a circle of radius r with a uniform speed v as seen from an inertial framelt-of reference.(a) This is not possible.(b) There are other forces on the particle.(c) The resultant of the other forces is mv2/r towards the centre.(d) The resultant of the other forces varies in magnitude as well as in direction.
Answer» (b) There are other forces on the particle. (d) The resultant of the other forces varies in magnitude as well as in direction. Explanation: Above situation is possible when resultant of external forces (R) is perpendicular to direction of motion and always directed towards center with a constant magnitude. So the direction of this resultant force is changing continuously. Since the force applied by the person (F) is constant hence there are other forces acting on the particle and the resultant of these other forces (P) is varying in magnitude and direction so that resultant (R) of the force applied by the person (F) and resultant of other forces (P) has a constant magnitude and always directed towards the center. So options (b) and (d) are correct and (a) & (c) are incorrect.

A person applies a constant force vector F on a particle of mass m and finds that the particle moves in a circle of radius r with a uniform speed v as seen from an inertial framelt-of reference.(a) This is not possible.(b) There are other forces on the particle.(c) The resultant of the other forces is mv2/r towards the centre.(d) The resultant of the other forces varies in magnitude as well as in direction.

Answer»

(b) There are other forces on the particle.
(d) The resultant of the other forces varies in magnitude as well as in direction.

Explanation:

Above situation is possible when resultant of external forces (R) is perpendicular to direction of motion and always directed towards center with a constant magnitude. So the direction of this resultant force is changing continuously. Since the force applied by the person (F) is constant hence there are other forces acting on the particle and the resultant of these other forces (P) is varying in magnitude and direction so that resultant (R) of the force applied by the person (F) and resultant of other forces (P) has a constant magnitude and always directed towards the center. So options (b) and (d) are correct and (a) & (c) are incorrect.

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