$\left(\mathrm{i}\right)$ Why does a motorcyclist lean inward when moving along a curved path?

$\left(\mathrm{ii}\right)$ By how much angle a motorcyclist should lean inwards from the vertical if he goes round a circular track of diameter $125 \mathrm{m}$ with a speed of $90 \mathrm{km} {\mathrm{h}}^{-1} ?$

A body of mass $40 \mathrm{kg}$ is suspended with the help of two strings as shown in the given figure. Find tension ${\mathrm{T}}_1$ and ${\mathrm{T}}_2$ in strings.

The acceleration of the block of mass $3 \mathrm{kg}$ kept on a smooth horizontal surface is

A ball of mass $1 \mathrm{kg}$ strikes a rigid wall with speed $2 \mathrm{m} {\mathrm{s}}^{-1}$ and gets reflected without any loss of speed as shown. The magnitude of impulse is

A block of mass $M=2 \mathrm{kg}$ is resting on a rough horizontal surface for which the coefficient of friction is $0.2.$ When a force $F=20 N$ is applied, the acceleration of the block will be $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

A body of mass $1 \mathrm{kg}$ is acted on by a force $\left(F\right)$ which varies with time $\left(t\right)$ as shown in the graph below. The momentum acquired by the body in $2 \mathrm{s}$ if it starts from rest is