An astronaut in a spacesuit has a mass of 100 kilograms. What is the weight of this astronaut on the surface of the Moon where the strength of gravity is approximately 1/6 that of Earth?
A man pushes a 45-kg cart an acceleration of 3.0m/s^2. What is the force on the cart?
To find the weight of the astronaut on the surface of the Moon, we can use the formula:
Weight = mass × gravity
Here, the mass of the astronaut is given as 100 kilograms, and the strength of gravity on the Moon is approximately 1/6 that of Earth. So, we need to calculate 1/6 of the weight on Earth.
On Earth, the acceleration due to gravity is approximately 9.8 m/s². Therefore, the weight of the astronaut on Earth can be calculated as:
Weight on Earth = 100 kg × 9.8 m/s²
Now, let's calculate 1/6 of the weight on Earth:
Weight on Moon = (Weight on Earth) × (1/6)
Weight on Moon = (100 kg × 9.8 m/s²) × (1/6)
Weight on Moon = 980 N × (1/6)
Weight on Moon = 980 N / 6
Weight on Moon ≈ 163.33 N
So, the weight of the astronaut on the surface of the Moon is approximately 163.33 Newtons.