A projectile is fired from the surface of the | vedclass

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

Question

(A) The equation of the trajectory of a projectile is given by $y = x 	an 	heta - \frac{g x^2}{2 u^2 \cos^2 	heta}$.For two trajectories to be iden

Vedclass · Accepted Answer

$3.5$

Vedclass · Answer

(A) The equation of the trajectory of a projectile is given by $y = x 	an 	heta - \frac{g x^2}{2 u^2 \cos^2 	heta}$.For two trajectories to be identical,the coefficients of $x$ and $x^2$ must be the same.Since the angle $	heta$ is the same,$	an 	heta$ is constant.For the $x^2$ term to be identical,$\frac{g_e}{u_e^2} = \frac{g_p}{u_p^2}$,where $g_e$ and $u_e$ are gravity and velocity on Earth,and $g_p$ and $u_p$ are gravity and velocity on the planet.Given $u_e = 5\, ms^{-1}$,$u_p = 3\, ms^{-1}$,and $g_e = 9.8\, ms^{-2}$.Substituting the values: $\frac{9.8}{5^2} = \frac{g_p}{3^2}$.$g_p = 9.8 	imes \frac{9}{25} = 9.8 	imes 0.36 = 3.528\, ms^{-2}$.Rounding to the nearest provided option,we get $3.5\, ms^{-2}$.

Similar Questions

Which of the following compounds is an optically inactive compound?

The general solution of $y^2 dx + (x^2 - xy + y^2) dy = 0$ is:

Two spheres of the same material have radii $1\ m$ and $4\ m$ and temperatures $4000\ K$ and $2000\ K$ respectively. The ratio of the energy radiated per second by the first sphere to that by the second is

Which of the following is an example of a heterogeneous catalysis reaction?

What is the function of the algal component in a lichen?

Vedclass Test Series

Exam Paper Generator

Online Exam Module