Assume that the acceleration due to gravity o | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The formula for the horizontal range of a projectile is given by $R = \frac{u^2 \sin 2	heta}{g}$.Given that the velocity of projection $u$ and th

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(D) The formula for the horizontal range of a projectile is given by $R = \frac{u^2 \sin 2	heta}{g}$.Given that the velocity of projection $u$ and the angle of projection $	heta$ are constant,the range $R$ is inversely proportional to the acceleration due to gravity $g$,i.e.,$R \propto \frac{1}{g}$.Let $R_e$ and $g_e$ be the range and acceleration due to gravity on Earth,and $R_m$ and $g_m$ be the range and acceleration due to gravity on the Moon.We are given $g_m = 0.2 \, g_e$.Using the proportionality $R_m \, g_m = R_e \, g_e$,we get:$R_m = R_e \left( \frac{g_e}{g_m} ight)$$R_m = R_e \left( \frac{g_e}{0.2 \, g_e} ight)$$R_m = \frac{R_e}{0.2} = 5 \, R_e$.Therefore,the maximum range on the surface of the moon is $5 \, R_e$.

Similar Questions

If a body is projected with an angle $\theta$ to the horizontal, then

$A$ projectile has initially the same horizontal velocity as it would acquire if it had moved from rest with uniform acceleration of $3 \, ms^{-2}$ for $0.5 \, minutes$. If the maximum height reached by it is $80 \, m$,then the angle of projection is (Take $g = 10 \, ms^{-2}$)

Two bodies are projected with the same velocity. If one is projected at an angle of $30^\circ$ and the other at an angle of $60^\circ$ to the horizontal,the ratio of the maximum heights reached is

$A$ projectile is thrown with an initial velocity of $10 \ m/s$ at an angle $\alpha$ with the horizontal. It has a range of $5 \ m$. Taking $g = 10 \ m/s^2$ and neglecting air resistance, what will be the estimated value of $\alpha$ (in $^{\circ}$)?

The horizontal and vertical displacements of a projectile at time $t$ are $x=36 t$ and $y=48 t-4.9 t^2$, respectively. Initial velocity of the projectile in $m/s$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module