A body, thrown upwards with some velocity, reaches maximum height of 20,m . Another body with double

English

Gujarati

Hindi

2.Motion in Straight Line

easy

A body, thrown upwards with some velocity, reaches the maximum height of $20\,m$. Another body with double the mass thrown up, with double initial velocity will reach a maximum height of..........$m$

A

$200$

B

$16$

C

$80$

D

$40$

Solution

(c) Mass does not affect on maximum height.

$H = \frac{{{u^2}}}{{2g}} \Rightarrow H \propto {u^2}$,

So if velocity is doubled then height will become four times. i.e. $H = 20 \times 4 = 80\,m$

Standard 11

Physics

Share

Similar Questions

A stone is thrown vertically upward with an initial velocity $v_0$. The distance travelled in time $\frac{1.5\,v_0}{g}$ is

hard

$Assertion$ : The two bodies of masses $M$ and $m$ $(M > m)$ are allowed to fall from the same height if the air resistance for each be the same then both the bodies will reach the earth simultaneously.

$Reason$ : For same air resistance, acceleration of both the bodies will be same

easy

(AIIMS-2014)

A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity $4\,m s ^{-1}$. The ball strikes the water surface after $4\,s$. The height of bridge above water surface is $……\,m$ $\left(\right.$ Take $\left.g=10\,m s ^{-2}\right)$

medium

(NEET-2023)

A stone is allowed to fall freely from rest. The ratio of the times taken to fall through the first metre and the second metre distance is

medium

A parachutist after bailing out falls $50\, m$ without friction. When parachute opens, it decelerates at $2\, m/s^2$. He reaches the ground with a speed of $3\, m/s$. At what height, did he bail out ?……..$m$

hard

(AIIMS-2008)