A car is moving on a horizontal curved road with radius $50 \mathrm{m}$. The approximate maximum speed of car will be, if friction between tyres and road is $0.34$. [Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$]

The figure represents the momentum time $(p-t)$ curve for a particle moving along an axis under the influence of the force. Identify the regions on the graph where the magnitude of the force is maximum and minimum respectively ?

If $\left(t_3-t_2\right)<t_1$

A block of $\sqrt{3} \mathrm{kg}$ is attached to a string whose other end is attached to the wall. An unknown force $F$ is applied so that the string makes an angle of $30°$ with the wall. The tension $T$ is : (Given g $=10 \mathrm{m} {\mathrm{s}}^{–2}$)