A body is projected vertically upwards from the surface of a planet of radius r with a velocity equal to 1/3rd the escape velocity for that planet. The maximum height attained by the body is:

Question

A body is projected vertically upwards from the surface of a planet of radius r with a velocity equal to 1/3rd the escape velocity for that planet. The maximum height attained by the body is: (A) R/2 (B) R/3 (C) R/S (D) R/8

Tardigrade Admin · Accepted Answer

u2=2gh ⇒ ( (1/3)√2gR )2=2gh ⇒ h=(R/9)

Q. A body is projected vertically upwards from the surface of a planet of radius r with a velocity equal to 1/3rd the escape velocity for that planet. The maximum height attained by the body is:

R/2

R/3

R/S

R/8

R/9

$u^{2} = 2 g h$ $\Rightarrow$ $(\frac{1}{3} 2 g R)^{2} = 2 g h$ $\Rightarrow$ $h = \frac{R}{9}$

Q. A body is projected vertically upwards from the surface of a planet of radius r with a velocity equal to 1/3rd the escape velocity for that planet. The maximum height attained by the body is:

R/2

R/3

R/S

R/8

R/9

u2=2gh ⇒ (31​2gR​)2=2gh ⇒ h=9R​

$u^{2} = 2 g h$ $\Rightarrow$ $(\frac{1}{3} 2 g R)^{2} = 2 g h$ $\Rightarrow$ $h = \frac{R}{9}$