Final answer:
The weight of a particle with a mass of 15 kg on Earth is 147 N, on the Moon it is approximately 24.5 N, its mass remains the same at 15 kg on the Moon, and its weight in outer space far from any gravitational influence would be 0 N.
Step-by-step explanation:
The mass of a particle is 15 kg. (a) What is its weight on Earth? To find the weight of an object on Earth, you use the formula: weight = mass × gravity. The standard acceleration due to gravity on Earth is 9.8 m/s2. Therefore, the weight on Earth is 15 kg × 9.8 m/s2 = 147 N.
(b) What is its weight on the Moon? The gravity on the Moon is about one-sixth of Earth's, approximately 1.625 m/s2. So, the weight on the Moon is 15 kg × 1.625 m/s2 = 24.375 N, which rounds to 24.5 N if we're using standard significant figures.
(c) What is its mass on the Moon? Mass is a scalar quantity that does not change with location, so the mass on the Moon remains 15 kg.
(d) What is its weight in outer space far from any massive body? In outer space, far away from any gravitational influences, the weight would effectively be 0 N, because weight depends on gravitational pull, which is negligible in such a location.