Consider a 100-kg box of tools in location:
A: on Earth
B: on the Moon
C: on Jupiter.
Rank from greatest to the least the a) masses of the 100 kg box of tools and b) the weights of the 100-kg box of tools.
a) When ranking the masses of the 100 kg box of tools, there is no difference between the locations since mass is an inherent property of an object and is independent of the location. Therefore, the ranking of the masses would be the same for all three locations:
Ranking: A = B = C
b) The weight of an object is dependent on the gravitational force acting upon it, which varies from one location to another.
Ranking of greatest to least weight for the 100 kg box of tools:
1. On Earth (Location A): The weight on Earth is determined by the acceleration due to gravity, which is approximately 9.8 m/s². Therefore, the weight of the 100 kg box of tools on Earth would be:
Weight = mass × acceleration due to gravity = 100 kg × 9.8 m/s² = 980 N
2. On Jupiter (Location C): Jupiter has a much stronger gravitational force compared to Earth. The acceleration due to gravity on Jupiter is approximately 24.79 m/s². Hence, the weight of the 100 kg box of tools on Jupiter would be:
Weight = mass × acceleration due to gravity = 100 kg × 24.79 m/s² = 2479 N
3. On the Moon (Location B): The Moon has a weaker gravitational force compared to Earth. The acceleration due to gravity on the Moon is approximately 1.6 m/s². Therefore, the weight of the 100 kg box of tools on the Moon would be:
Weight = mass × acceleration due to gravity = 100 kg × 1.6 m/s² = 160 N
Ranking: C > A > B
To rank the masses and weights of the 100-kg box of tools in locations A, B, and C, we need to understand the concepts of mass and weight.
a) The mass of an object remains the same regardless of its location. Mass is a measure of the amount of matter in an object. Therefore, the mass of the 100-kg box of tools will be the same in all three locations: A, B, and C.
Ranking the masses from greatest to least:
1) Earth (Location A)
2) Moon (Location B)
3) Jupiter (Location C)
b) Weight, on the other hand, depends on the gravitational pull on the object. Weight is the force exerted on an object due to gravity. To calculate weight, we use the formula:
Weight = Mass x Acceleration due to Gravity
Given that the acceleration due to gravity is different on Earth, the Moon, and Jupiter, the weight of the 100-kg box of tools will vary in each location.
Ranking the weights from greatest to least:
1) Earth (Location A)
2) Jupiter (Location C)
3) Moon (Location B)
The weight on Earth will be the greatest because it has the highest acceleration due to gravity. Jupiter will have the second highest weight due to its stronger gravity compared to the Moon, which would have the least weight because it has a much weaker gravitational pull.
So, the ranking for a) masses and b) weights would be:
Masses: A > B > C
Weights: A > C > B
Mass is the same no matter where.
Weight is greatest on planet with largest G and smallest on planet with smallest G.