Question

c. The mass and weight of an object on earth are 5 kg and 49 N respectively. What will be their values on the moon? Assume that the acceleration due to gravity on the moon is 1/6th of that on the earth

Answer 1

Mass of the substance remains constant. It is the multiplication of density and volume that will remain unchanged in the whole universe. So mass of the object will remain 5 kg anywhere in the universe. Weight has meaning only when an object having a specific mass is placed in an acceleration field, such as the gravitational field .

Weight = Mass × Acceleration 

Acceleration due to gravity on the earth's surface :

Weight = mg

49N = 5 × g

5g = 49

g = 9.8 m/s²

Acceleration on the moon :

1/6 × 9.8 = 1.6333 m/s²

The weight on the moon:

5 × 1.6333 = 8.1665N

Answer is 5kg and 8.17 N

 

 

Answer 2

On Earth, the weight of an object is given by the formula:

Weight = mass * acceleration due to gravity (on Earth)

Given that the weight on Earth is 49 N and the mass is 5 kg, we can rearrange the formula to solve for the acceleration due to gravity on Earth:

Acceleration due to gravity (on Earth) = Weight / mass

Substituting the given values:

Acceleration due to gravity (on Earth) = 49 N / 5 kg = 9.8 m/s²

Now, we need to find the weight and mass on the moon. The acceleration due to gravity on the moon is stated to be 1/6th of that on Earth. Therefore:

Acceleration due to gravity (on Moon) = (1/6) * Acceleration due to gravity (on Earth) = (1/6) * 9.8 m/s² = 1.6333 m/s² (approximately)

The weight on the moon can be calculated using the same formula as on Earth:

Weight (on Moon) = mass * acceleration due to gravity (on Moon)

Substituting the mass (5 kg) and acceleration due to gravity on the moon (1.6333 m/s²):

Weight (on Moon) = 5 kg * 1.6333 m/s² ≈ 8.1665 N

Therefore, the weight of the object on the moon would be approximately 8.1665 N.

The mass of the object remains the same regardless of the location, as mass is a fundamental property of an object and does not change with gravitational acceleration. Therefore, the mass on the moon would also be 5 kg.