A projectile from Earth (speed 5text m/s at angle theta) follows the same trajectory as one from another planet (speed 3text m/s , same angle). The gravitational acceleration on that planet is (g_ text Earth = 9.8text m/s ^2):

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NEET Physics QUESTION #7344

Question 1

A projectile from Earth (speed $5\text{ m/s}$ at angle $\theta$) follows the same trajectory as one from another planet (speed $3\text{ m/s}$, same angle). The gravitational acceleration on that planet is ($g_{\text{Earth}} = 9.8\text{ m/s}^2$):

$3.5\text{ m/s}^2$✔️
$5.9\text{ m/s}^2$
$16.3\text{ m/s}^2$
$110.8\text{ m/s}^2$

Correct Answer Explanation

For identical trajectories at the same angle, the ratio $\dfrac{u^2}{g}$ must be equal (since all trajectory dimensions scale with $u^2/g$):

$\dfrac{25}{9.8} = \dfrac{9}{g'} \Rightarrow g' = \dfrac{9 \times 9.8}{25} = \dfrac{88.2}{25} \approx \mathbf{3.5\text{ m/s}^2}$

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