The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B . A man jumps to a height of 2 m on the surface of A . What is the height of jump by the same on the planet B ?

Question

The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B . A man jumps to a height of 2 m on the surface of A . What is the height of jump by the same on the planet B ? (A) 6m (B) (2/3) m (C) (2/9) m (D) 18 m

Tardigrade Admin · Accepted Answer

It is given that, acceleration due to gravity on plane

A

is

9

times the acceleration due to gravity on the planet

B

, i.e.,

g_{A} = 9 g_{B}

.... (i)
From the 3rd equation of motion, we have

v^{2} = 2 g h

At planet

A

,

h_{A} = \frac{v ^{2}}{2 g _{A}}

.... (ii)
At planet

B

,

h_{B} = \frac{v ^{2}}{2 g _{B}}

.... (iii)
Dividing equation (ii) by equation (iii), we get

\frac{h _{A}}{h _{B}} = \frac{g _{B}}{g _{A}}

From equation (i),

g_{A} = 9 g_{B}

\frac{h _{A}}{h _{B}} = \frac{g _{B}}{9 g _{A}} = \frac{1}{9} \Rightarrow h_{B} = 9 h_{A} = 9 \times 2 = 18 m

Q. The acceleration due to gravity on the planet $A$ is $9$ times the acceleration due to gravity on planet $B$ . A man jumps to a height of $2 m$ on the surface of $A$ . What is the height of jump by the same on the planet $B$ ?

$6 m$

$\frac{2}{3} m$

$\frac{2}{9} m$

$18 m$

Q. The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B . A man jumps to a height of 2m on the surface of A . What is the height of jump by the same on the planet B ?

6m

32​m

92​m

18m

Q. The acceleration due to gravity on the planet $A$ is $9$ times the acceleration due to gravity on planet $B$ . A man jumps to a height of $2 m$ on the surface of $A$ . What is the height of jump by the same on the planet $B$ ?

$6 m$

$\frac{2}{3} m$

$\frac{2}{9} m$

$18 m$