FIgure shows a sphere of mass $500\ g$ moving in a steady flow of air in the $x- $ direction. The air-stream exerts an essentially constant force of $0.9\ N$ on the sphere in the $x-$ direction. If at $t = 0$ the sphere is moving a s shown in the figure, determine the time required for the sphere to cross the $y-$ axis again ........ $\sec$
$1.66$
$2.66$
$3.66$
$4.66$
On a calm day, a boat can go across a lake and return in time $T_0$ at a speed $V$. On a rough day, there is uniform current at speed $v$ to help the onward journey and impede the return journey. If the time taken to go across and return on the rough day be $T$, then $T / T_0$ is
The system shown in figure is released then $a_1$ and $a_2$ is
A swimmer swims in still water at a speed $= 5\,\, km/hr$. He enters a $200\,\, m$ wide river, having river flow speed $= 4\,\, km/hr$ at point A and proceeds to swim at an angle of $127^o$ (sin $37^o = 0.6$) with the river flow direction.Another point $B$ is located directly across Aon the other side. The swimmer lands on the other bank at a point $C$, from which he walks the distance $CB$ with a speed $= 3\,\, km/hr.$ The total time in which he reachrs from $A$ to $B$ is..........$minutes$
A girl standing at point $P$ on a beach wishes to reach a point $Q$ in the sea as quickly as possible. She can run at $6 \,kmh ^{-1}$ on the beach and swim at $4 \,kmh ^{-1}$ in the sea. She should take the path
Rain is falling vertically with a speed of $35 \;m s ^{-1} .$ A woman rides a bicycle with a speed of $12 \;m s ^{-1}$ in east to west direction. What is the direction in which she should hold her umbrella?