A cyclist is riding with a speed of $36 \mathrm{~km} / \mathrm{h}$. As he approaches a circular turn on the road of radius 50 m , he applies brakes and reduces his speed at the constant rate of $0.5 \mathrm{~m} / \mathrm{s}$ every second. The magnitude and direction of the net acceleration of the cyclist on the circular turn respectively, are
A body of mass $m$ slides down along a frictionless inclined plane from height $h$ and just completes motion in a vertical circle of radius 2 m after reaching the bottom. What is the value of $h$ ? [Use, $g=10 \mathrm{~m} / \mathrm{s}^2$ ]
A merry-go-round rotating at a constant angular speed completes 9 rotations is 18 s . What is its angular speed?
Consider a particle is moving with a minimum speed $v$ at highest point of vertical circle of radius $R$. If the radius of the circle doubled the corresponding minimum speed will be
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