Question

Find the net gravitational force on a 2.00-kg object halfway between Earth and Venus. Earth has a mass of 5.79 x 10²⁴ kg, Venus has a mass of 4.86 x 10²⁴ kg, and assume the distance between Earth and Venus is 4.16 x 10¹⁰ m

Answer 1

Answer:

Explanation:

Earth's mass = 5.79*10²⁴ kg

Venus's Mass = 4.86 x 10²⁴ kg

Radius = 4.16 x 10¹⁰ m

G = 6.67*10⁻¹¹ Nm²/kg²

Gravitational Force = Gm₁m₂/r²

= {6.67*10⁻¹¹} * {5.79*10²⁴} * {4.86 x 10²⁴} / {4.16 x 10¹⁰}² N

= [{6.67*5.79*4.86} * 10⁻¹¹⁺²⁴⁺²⁴] / 1.73*10²¹ N

= [187.68*10³⁷] / 1.73*10²¹  N

= [187.68/1.73] * 10³⁷⁻²¹ N

= 108.48*10¹⁶ N

= Or,

= 10.848*10¹⁷ N

Mass = 2 kg

Force = Mass*Gravitational Force

= 10.848*10¹⁷ = 2g

= 5.42*10¹⁷ N = g

Hope this helps.