A particle of mass $200 \,g$ is moving in a circle of radius $2 \,m$. The particle is just 'looping the loop'. The speed of the particle and the tension in the string at highest point of the circular path are $\left(g=10 \,ms ^{-2}\right)$
$4 \,ms ^{-1}, 5 \,N$
$4.47 \,ms ^{-1}$, zero
$2.47 \,ms ^{-1}$, zero
$1 \,ms ^{-1}$, zero
A car is moving at a speed of $40 \,m / s$ on a circular track of radius $400 \,m$. This speed is increasing at the rate of $3 \,m / s ^2$. The acceleration of car is ....... $m / s ^2$
The driver of a car travelling at velocity $v$ suddenly see a broad wall in front of him at a distance $d$. He should
Which of the following quantities remains constant during uniform circular motion?
A ball is moving uniformly in a circular path of radius $1 m$ with a time period of $1.5 \,s$. If the ball is suddenly stopped at $t=8.3 \,s$, the magnitude of the displacement of the ball with respect to its position at $t=0 \,s$ is closest to .......... $m$
A particle describes a horizontal circle of radius $r$ on the smooth surface of an inverted cone as shown. The height of plane of circle above vertex is $h$. The speed of particle should be