Two projectiles, one fired from surface of earth with velocity 10 ,m/s and other fired fr

English

Gujarati

Hindi

3-2.Motion in Plane

medium

Two projectiles, one fired from surface of earth with velocity $10 \,m/s$ and other fired from the surface of another planet with initial speed $5\, m/s$ trace identical trajectories. The value of acceleration due to the gravity on the planet is ......... $m/s^2$

A

$2.5 $

B

$3.6$

C

$4.9 $

D

$6.4 $

Solution

$\mathrm{H}_{1}=\mathrm{H}_{2}$

$\frac{(10)^{2} \sin ^{2} \theta}{2 \mathrm{g}_{1}}=\frac{(5)^{2} \sin ^{2} \theta}{2 \mathrm{g}_{2}}$

$\frac{g_{2}}{g_{1}}=\frac{1}{4} \Rightarrow g_{2}=\frac{g_{1}}{4}=\frac{10}{4}=2.5 \mathrm{m} / \mathrm{s}^{2}$

Standard 11

Physics

Share

Similar Questions

The maximum vertical height to which a man can throw a ball is $136\,m$. The maximum horizontal distance upto which he can throw the same ball is $…..\,m$

medium

(JEE MAIN-2023)

At what angle the particle should be projected to cover maximum range ?

easy

A small boy is throwing a ball towards a wall $6 \,m$ in front of him. He releases the ball at a height of $1.4 \,m$ from the ground. The ball bounces from the wall at a height of $3 \,m$, rebounds from the ground and reaches the boy's hand exactly at the point of release. Assuming the two bounces (one from the wall and the other from the ground) to be perfectly elastic, ………. $m$ far ahead of the boy did the ball bounce from the ground

normal

(KVPY-2013)

A projectile is projected with speed $u$ at an angle $\theta$ with the horizontal. The average velocity of the projectile between the instants it crosses the same level is …………

easy

Show that for a projectile the angle between the velocity and the $x$ -axis as a function of time is given by

$\theta(t)=\tan ^{-1}\left(\frac{v_{0 y}-g t}{v_{0 x}}\right)$

Show that the projection angle $\theta_{0}$ for a projectile launched from the origin is given by

$\theta_{0}=\tan ^{-1}\left(\frac{4 h_{m}}{R}\right)$

Where the symbols have their usual meaning.

medium