Two balls of mass $M$ and $2 \,M$ are thrown horizontally with the same initial velocity $v_{0}$ from top of a tall tower and experience a drag force of $-k v(k > 0)$, where $v$ is the instantaneous velocity. then,
the heavier ball will hit the ground further away than the lighter ball
the heavier ball will hit the ground closer than the lighter ball
both balls will hit the ground at the same point
both balls will hit the ground at the same time
An aeroplane flying at a constant velocity releases a bomb.As the bomb drops down from the aeroplane,
Two paper screens $A$ and $B$ are separated by distance $100 \,m$. A bullet penetrates $A$ and $B$, at points $P$ and $Q$ respectively, where $Q$ is $10 \,cm$ below $P$. If bullet is travelling horizontally at the time of hitting $A$, the velocity of bullet at $A$ is nearly .......... $m / s$
A man runs across the roof, top of a tall building and jumps horizontally with the hope of landing on the roof of the next building which is at a lower height than the first. If his speed is $9\, m/s$. the (horizontal) distance between the two buildings is $10\, m$ and the height difference is $9\, m$, will be able to land on the next building ? $($ Take $g = 10 \,m/s^2)$
Two particles are projected from a tower in opposite directions horizontally with speed $10\,m / s$ each. At $t=1\,s$ match the following two columns.
Column $I$ | Column $II$ |
$(A)$ Relative acceleration between two | $(p)$ $0$ SI unit |
$(B)$ Relative velocity between two | $(q)$ $5$ SI unit |
$(C)$ Horizontal distance between two | $(r)$ $10$ SI unit |
$(D)$ Vertical distance between two | $(s)$ $20$ SI unit |
A child stands on the edge of the cliff $10\,m$ above the ground and throws a stone horizontally with an initial speed of $5\,ms ^{-1}$. Neglecting the air resistance, the speed with which the stone hits the ground will be $..........ms ^{-1}$ (given, $g =10\,ms ^{-2}$)