What is the acceleration due to gravity on (a) Venus, (b) Pluto, and (c) the moon?

Solutions

Expert Solution

Acceleration due to gravity on the surfce of a Very large Body can be calculated using the following formula:

Where G= Universal Gravitational Constant (6.673×10⁻¹¹N-m²Kg²)

M= Mass of Very large body

r= Radius of Very large body

Note: This formula is derived with the help of Newton's Second law (F= m.a) and Equation of Gravitational Force.

A). Acceleration due to gravity on Venus (g_venus) = G.M_venus/ r_venus²

M_venus=4.867 × 10²⁴ kg

r_venus= 60518 x 10² m

g_venus = (6.673×10⁻¹¹N-m²Kg²) (4.867 × 10²⁴ kg) / (60518 x 10² m)²

g_venus = 8.82 m/s²

B). Acceleration due to gravity on Venus (g_Pluto) = G.M_pluto/ r_pluto²

M_pluto= 1.31 × 10²² kg

r_pluto= 11883 x 10² m

g_Pluto=(6.673×10⁻¹¹N-m²Kg²) (1.31 × 10²² kg) / (11883 x 10² m)²

g_Pluto= 0.62 m/s²

A). Acceleration due to gravity on Venus (g_moon) = G.M_moon/ r_moon²

M_moon= 7.35 × 10²² kg

r_moon= 17371 x 10² m

g_moon= (6.673×10⁻¹¹N-m²Kg²) (7.35 × 10²² kg) / (17371 x 10² m)²

g_moon = 1.625 m/s²

genius_generous answered 1 year ago

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