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7.Gravitation
medium
The acceleration due to gravity on a planet is $1.96 \,m / s ^2$. If it is safe to jump from a height of $3 \,m$ on the earth, the corresponding height on the planet will be ........ $m$
A
$3$
B
$6$
C
$9$
D
$15$
Solution
(d)
It is safer to jump from a height of $3 \,m$ on earth,
$\Rightarrow$ Corresponding velocity attained $=\sqrt{2 g_1 h_1}$
It will be safer to jump from a height on other planet
If the velocity attained is same $=\sqrt{2 g_2 h_2}$
$\Rightarrow \sqrt{2 g_1 h_1}=\sqrt{2 g_2 h_2}$
$9.8 \times 3=1.96 \times h_2$
$\Rightarrow h_2=5 \times 3=15 \,m$
Standard 11
Physics
