A man can jump 1.5 m on earth. calculate the approximate height he might be
able to jump on
a planet whose
density is one quarter of the earth and where radius
is one third that of earth.

Radius of earth = 6400km
Acc. due to gravity=9.8 m/s²
Mass of earth = 6X10^24 kg

18 m

Explanation:

G = Gravitational constant

m = Mass of planet =

= Density of planet

V = Volume of planet assuming it is a sphere =

r = Radius of planet

Acceleration due to gravity on a planet is given by

So,

Density of other planet =

Radius of other planet =

Since the person is jumping up the acceleration due to gravity will be negative.

From kinematic equations we have

On the other planet

The man can jump a height of 18 m on the other planet.

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards