Question

Gravity on the surface of the moon is only 1
6
as strong as gravity on the Earth.
What is the weight of a 30 kg object on the
Earth? The acceleration of gravity is 10 m/s
2
.
Answer in units of N

What is the weight on the moon?
Answer in units of N

What is the mass on the earth?
Answer in units of kg

What is the mass on the moon?
Answer in units of kg

Answer 1

on the Earth
W= mg=30•10=300 N
on the Moon
W₁=mg₁=mg/6 = =W/6 =300/6 = 50 N
mg=GmM/R²
g=G M/R² =>
M=gR²/G
the gravitational constant G =6.67•10⁻¹¹ N•m²/kg²,
Earth’s radius is R = 6.378•10⁶ m.
mg₁= GmM₁/R₁²
g₁= GM₁/R₁²
M₁=g₁R₁²/G
Radius of the Moon 1.74•10⁶ m