EASY
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A toy car of mass 80 g is maintained to move in a horizontal circle of radius 0.8 m with a velocity v m s-1. If the centripetal force acting on it is 10 N, then the value of v in m s-1 is

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Important Questions on Force

MEDIUM
The potential energy of a particle of mass m at a distance r from a fixed point O is given by Vr=kr2/2, where k is a positive constant of appropriate dimensions. This particle is moving in a circular orbit of radius R about the point O. If v is the speed of the particle and L is the magnitude of its angular momentum about O, which of the following statements is (are) true?
EASY
What will be the minimum speed of the roller-coaster so that the passenger at the top, when becomes upside down, does not fall out? Consider the acceleration due to gravity as 10 m s-2, and the radius of curvature of the roller coaster is 10 m.
MEDIUM
Is centrifugal force the force of reaction of centripetal force?
MEDIUM
A metal wire of length 0.5 m and cross-sectional area 10-4 m2 has breaking stress 5×108 N m-2. A block of 10 kg is attached at one end of the string and is rotating in a horizontal circle. The maximum linear velocity of block will be _____ m s-1.
MEDIUM
A body of mass 10 kg is attached to a wire of 0.3 m length. The breaking stress is 4.8×107 N m-2. The area of cross-section from the wire is 10-6 m2. The maximum angular velocity with which it can be rotated in a horizontal circle is
EASY
A cork is immersed in a jar of water and released. How the cork will move if the jar is assumed to be kept in a satellite orbiting earth: 
MEDIUM
With reference to the direction of action, how does a centripetal force differ from a centrifugal force during uniform circular motion?
EASY
A curved road of diameter 1.8 km is banked so that no friction is required at a speed of 30 m s-1. What is the banking angle?
MEDIUM
Assertion (A): Two identical trains move in opposite senses in equatorial plane with same speeds relative to the earth's surface. They have equal magnitude of normal reaction.
Reason (R): The trains have different centripetal accelerations due to different speeds.
MEDIUM
A motor cyclist wants to drive in horizontal circles on the vertical inner surface of a large cylindrical wooden well of radius 8.0 m, with minimum speed of 55 m s-1. The minimum value of coefficient of friction between the tyres and the wall of the well must be
g=10 m s-2
EASY

A car of mass 200 kg is revolving in a circular track of radius 70 m with angular velocity 0.2 rad s-1, then find the centripetal force in Newton.

MEDIUM
A point mass m is moved in a vertical circle of the radius r with the help of a string. The velocity of the mass is 7gr at the lowest point. The tension in the string at the lowest point is:
MEDIUM

A small block of mass 100 g is tied to a spring of spring constant 7.5 N m-1 and length 20 cm. The other end of spring is fixed at a particular point A. If the block moves in a circular path on a smooth horizontal surface with constant angular velocity 5 rad s-1about point A, then tension in the spring is

MEDIUM

 Compare the magnitudes of centripetal and centrifugal force.

MEDIUM
A mass attached to one end of a string crosses topmost point on a vertical circle with critical speed. Its centripetal acceleration when string becomes horizontal will be ( g= gravitational acceleration)
HARD
A particle of mass m is fixed to one end of a light spring having force constant k and unstretched length l. The other end is fixed. The system is given an angular speed ω about the fixed end of the spring such that it rotates in a circle in gravity free space. Then the stretch in the spring is:
HARD
A smooth wire of length 2πr is bent into a circle and kept in a vertical plane. A bead can slide smoothly on the wire. When the circle is rotating with angular speed ω about the vertical diameter AB, as shown in figure, the bead is at rest with respect to the circular ring at position P as shown. Then the value of ω2 is equal to:
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EASY
A 500 kg car takes a round turn of radius 50 m with a velocity of 36kmph. The centripetal force acting on the car is
EASY
A mass m is tied to one end of a spring and whirled in a horizontal circle with constant angular velocity. The elongation in the spring is 1 cm. If the angular speed is doubled, the elongation in the spring is 6 cm. The original length of the spring is
EASY

Two stones of masses m and 2m are whirled in horizontal circles, the heavier one in radius r2 and the lighter one in radius r. The tangential speed of lighter stone is n times that of the tangential speed of the heavier stone. They are reported to experience the same centripetal force. The value of n is,