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

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

To answer these questions, we need to use the formula for weight, which is weight = mass * acceleration due to gravity.

1) To find the weight of a 30 kg object on Earth, we can use the formula weight = mass * acceleration due to gravity. Given that the mass is 30 kg and the acceleration due to gravity is 10 m/s², we can calculate the weight as follows:

weight = 30 kg * 10 m/s² = 300 N

Therefore, the weight of a 30 kg object on Earth is 300 Newtons.

2) To find the weight on the moon, we need to multiply the weight on Earth by the ratio of the moon's gravity to Earth's gravity. Given that the gravity on the moon is 1/6 the strength of gravity on Earth, we can use the following calculation:

weight on the moon = weight on Earth * (gravity on the moon / gravity on Earth)

weight on the moon = 300 N * (1/6) = 50 N

Therefore, the weight of a 30 kg object on the moon is 50 Newtons.

3) To find the mass on Earth, we can rearrange the formula weight = mass * acceleration due to gravity to solve for mass:

mass = weight / acceleration due to gravity

Given that the weight is 300 Newtons and the acceleration due to gravity is 10 m/s², we can calculate the mass as follows:

mass = 300 N / 10 m/s² = 30 kg

Therefore, the mass of the object on Earth is 30 kilograms.

4) Similarly, to find the mass on the moon, we can use the same formula:

mass on the moon = weight on the moon / acceleration due to gravity

Given that the weight on the moon is 50 Newtons and the acceleration due to gravity is 10 m/s², we can calculate the mass as follows:

mass on the moon = 50 N / 10 m/s² = 5 kg

Therefore, the mass of the object on the moon is 5 kilograms.