Question

The mass and radius of moon are 7.34 × 10²² kg and 1.75 × 10⁶ m. Find the acceleration due to gravity at the moon.( G = 6.67 × 10⁻¹¹ m³ kg⁻¹ s⁻² )​

Answer 1

Answer:

Correct option is

C 1.620m/s

2

On the surface of the moon, the distance to the center of mass is the same as the radius:

r=

1.74×

10 6

17,40,000

m. The acceleration due to gravity on the surface of the moon can be found using the formula:

g=

r

2

GM

g=

17400000

(6.673×

10

−11

) (7.4×

10

22

)

The acceleration due to gravity on the surface of the moon is 1.620 m

s 2

Answer 2

Answer:

g = 1.63 m/s²

Explanation:

M = 7.34 × 10²² kg

R = 1.75 × 10⁶m

G = 6.67 × 10–¹¹ m³/kg/s²

Acceleration due to gravity = g

g =GM÷R²

g = ( 6.67 × 10–11 × 7.34 × 10²²) ÷ (1.75 × 10⁶)²

g = 1.63 m/s²