Question

claculate the value of g for a planet whose mass is 8.4*10^25 kg and diameter 6.2*10^7m.?​

Answer 1

Answer:

Earth:

9.78

m/s

2

Moon:

1.62

m/s

2

Mars:

3.71 m/s

2

Explanation:

Acceleration due to gravity

(g)

at surface of planet is given by the formula

g

=

GM

R

2

where

G =

Universal Gravitational constant

M =

Mass of planet

R =

Radius of planet

—

—

—

—

—

—

—

—

(1)

At the surface of Earth

g

earth

=

6.67

×

10

−

11

N m

2

/kg

2

×

5.97

×

10

24

kg

(

6378

×

10

3

m

)

2

=

9.78 m/s

2

—

—

—

—

—

—

—

—

(2)

At the surface of Moon

g

moon

=

6.67

×

10

−

11

N m

2

/kg

2

×

7.35

×

10

22

kg

(

1738

×

10

3

m

)

2

=

1.62 m/s

2

—

—

—

—

—

—

—

—

(3)

At the surface of Mars

g

mars

=

6.67

×

10

−

11

N m

2

/kg

2

×

0.642

×

10

24

kg

(

3396

×

10

3

m

)

2

=

3.71 m/s

2