If an astronaut in full gear has a weight of 1150 N on Earth, how much will the astronaut weigh on the Moon?
To find out how much the astronaut will weigh on the Moon, we need to know the acceleration due to gravity on the Moon. The acceleration due to gravity on the Moon is approximately 1/6th of that on Earth.
So, if the astronaut weighs 1150 N on Earth, the astronaut's weight on the Moon can be calculated as follows:
Weight on the Moon = Weight on Earth * (Acceleration due to gravity on the Moon / Acceleration due to gravity on Earth)
Given:
Weight on Earth = 1150 N
Acceleration due to gravity on the Moon = 1/6 * Acceleration due to gravity on Earth
Acceleration due to gravity on Earth = 9.8 m/s^2 (approximate value)
Weight on the Moon = 1150 N * (1/6 * 9.8 m/s^2 / 9.8 m/s^2)
Weight on the Moon = 1150 N * (1/6)
Weight on the Moon ≈ 191.7 N
Therefore, the astronaut will weigh approximately 191.7 N on the Moon.
To find out the weight of the astronaut on the Moon, we need to use the equation
Weight = mass × acceleration due to gravity
However, since the question only gives us the weight on Earth, we first need to find the mass of the astronaut.
To do this, we can use the formula
Weight = mass × acceleration due to gravity
Rearranging the formula, we have
mass = Weight / acceleration due to gravity
The acceleration due to gravity on Earth is approximately 9.8 m/s².
Plugging in the values, we get
mass = 1150 N / 9.8 m/s²
mass ≈ 117.35 kg
Now that we have the mass, we can find the weight on the Moon using the same formula,
Weight = mass × acceleration due to gravity
However, the acceleration due to gravity on the Moon is different from that on Earth. It is approximately 1.6 m/s².
Plugging in the values, we have
Weight = 117.35 kg × 1.6 m/s²
Weight ≈ 187.76 N
Therefore, the astronaut will have a weight of approximately 187.76 N on the Moon.