Question

compare the weight of the object on a planet whose mass is twice the mass of earth and radius is 4 times the radius of earth​

Answer 1

Answer:

Let mass of the earth is M and radius of the earth is R.

So, acceleration due to gravity on earth's surface, g=

R

2

GM

......(1)

Then, mass of planet =4M

and radius of the planet =8R

So, acceleration due to gravity on planet's surface, g

1

=

(8R)

2

G(4M)

=

16R

2

GM

From equation (1),

g

1

=

16

g

we know, weight of body = mass of body × acceleration due to gravity.

Here, mass of body is a constant term. it doesn't vary. so, weight of body depends on acceleration due to gravity.

So,

W

p

W

e

=

g

p

g

e

Here, W

e

denotes weight of body on the earth, W

p

weight of body on the planet. similarly, g

e

denotes acceleration due to gravity on the earth and g

p

denotes acceleration due to gravity on the planet.

so,

W

p

640

=

(g/16)

g

or,

W

p

640

=16

hence, W

p

=40N

Hope it heps

Pls mark as brainliest!!!