A $2\,kg$ block slides on a horizontal floor with a speed of $4\, m/s$. It strikes a  uncompressed spring, and compresses it till the block is motionless. The kinetic friction  force is $110\,N$ and spring constant is $1000\, N/m$. The spring compresses by ........ $cm$

A car is moving with uniform velocity on a rough horizontal road. Therefore, according to Newton's first law of motion

Calculate the maximum acceleration (in $m s ^{-2}$) of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is $0.15$ $\left( g =10 m s ^{-2}\right)$.

Imagine the situation in which the given arrangement is placed inside a trolley that can move only in the horizontal direction, as shown in figure. If the trolley is accelerated horizontally along the positive $x$ -axis with $a_0$, then Identify the correct statement $(s)$ related to the tension $T$ in the string

Which of the following is self adjusting in nature?

A coin placed on a rotating table just slips when it is placed at a distance of $1\,cm$ from the center. If the angular velocity of the table in halved, it will just slip when placed at a distance of from the centre $............\,cm$