$A$ car is travelling at $40\text{ m/s}$ on a circular path of radius $40\text{ m}$. It is increasing its speed at the rate of $2\text{ m/s}^2$. Its net acceleration is (in $\text{m/s}^2$) nearly (in $\text{ m/s}^2$)

The magnitude of the centripetal force acting on a body of mass $m$ executing uniform circular motion in a circle of radius $r$ with speed $v$ is:

If the mass,speed,and radius of an object are increased by $50\%$,what is the percentage increase in the centripetal force?

$A$ particle moves on a circle of radius $0.1 \ m$ with a velocity $v = 1.0t$. The total acceleration at $t = 5 \ s$ will be ........ $m/s^2$.

$A$ particle is moving along a circular path of radius $R$ in such a way that at any instant the magnitude of radial acceleration and tangential acceleration are equal. If at $t = 0$ the velocity of the particle is $V_0$,the time period of the first revolution of the particle is:

The acceleration of a train travelling with a speed of $400 \, m/s$ as it goes round a curve of radius $160 \, m$ is: