Question

If a block has a mass of 10kg and weight of 60 lbs what would its mass and weight be on the moon

Answer 1

The mass of a 10 kg block remains the same on the Moon, but its weight decreases to about 10 lbs (or about 8.4 N using the Moon's gravitational acceleration).

Step-by-step explanation:

Mass is a measure of the amount of matter in an object and is usually measured in kilograms (kg). It remains constant regardless of the object's location. Weight, on the other hand, is the force exerted on a mass by gravity and is dependent on the gravitation field strength where the object is located. On earth, weight is expressed as a force in newtons (N) and can also be measured in pounds (lbs).

On the Moon, the acceleration due to gravity is approximately 1.67 m/s², which is much less than the 9.80 m/s² acceleration on Earth. Therefore, an object's weight on the Moon is about one-sixth of its weight on Earth. Since the block in question has a mass of 10 kg and a weight of 60 lbs on Earth, its mass will remain the same on the Moon but its weight will significantly decrease. By calculating the Moon's weight using the Moon's gravitational acceleration, we conclude that:

• The mass on the Moon: 10 kg (unchanged from Earth)
• The weight on the Moon: Approximately 10 lbs (1/6th of the weight on Earth)

To convert pounds to newtons on Earth, where 1 lb is approximately 4.448 N, we find the weight to be about 49 N (10 kg x 9.80 m/s²). On the Moon with the lower gravity, using the same conversion, a 10 kg mass would weigh about 8.4 N (10 kg x 1.67 m/s²).

Answer 2

Mass is a constant, howver weight is not constant on planet becuase the gravitational force is directly proportional to the acceleratoin due to gravity (gravitational constant). The force on gravity is shown on a scale and equal to weight

I'll be using the gravitational constant of the moon 1.6m/s² OR one can calculate the graviational constant on the moon, using the equation for universal gravitation

Using Newton's second law we can find weight, F (F-force of gravity)

F=ma We can deduct that mass is constand and a=g
F=mg Insert value of g, mass (constant)
F=10(1.6)
F=160 Weight=F
Weight=160 kg

In conclusion, a 10kg object has a mass of 10kg and 160 kg weight on the moon