The acceleration of gravity at the surface of the moon is approximately 1/6 that at the surface of the Earth (9.8m/s). What is the weight of an astronaut standing on the moon whose weight on Earth is 180lbs?
1/6 of 180 lb = _____
To calculate the weight of an astronaut standing on the moon, we need to use the formula:
Weight = mass x acceleration due to gravity
First, let's convert the weight from pounds to kilograms. We know that 1 pound is approximately 0.454 kilograms. So, we have:
Weight on Earth = 180 lbs = 180 x 0.454 kg = 81.72 kg
Next, we can calculate the weight on the moon using the acceleration due to gravity on the moon, which is approximately 1/6th of that on Earth.
Acceleration due to gravity on the moon = 1/6 x 9.8 m/s^2 = 1.6333 m/s^2
Now, we can plug the values into the formula:
Weight on the moon = 81.72 kg x 1.6333 m/s^2 = 133.14 N
Therefore, the weight of an astronaut standing on the moon, whose weight on Earth is 180 lbs, is approximately 133.14 Newtons.
To calculate the weight of an astronaut on the moon, given their weight on Earth, we can use the formula:
Weight on Moon = (Weight on Earth) * (Acceleration of Gravity on Moon / Acceleration of Gravity on Earth)
First, let's convert the weight of the astronaut from pounds to kilograms. We know that 1 pound is approximately equal to 0.4536 kilograms.
Weight on Earth = 180 lbs * 0.4536 kg/lb = 81.648 kg
Next, we can use the given information that the acceleration of gravity on the moon is approximately 1/6 of that on Earth (9.8 m/s^2) to calculate the acceleration of gravity on the moon.
Acceleration of Gravity on Moon = (1/6) * (9.8 m/s^2) = 1.6333 m/s^2
Now we can substitute these values into the formula to find the weight on the moon.
Weight on Moon = 81.648 kg * (1.6333 m/s^2 / 9.8 m/s^2)
Weight on Moon = 81.648 kg * (0.1663)
Weight on Moon = 13.56 kg
Therefore, the weight of the astronaut standing on the moon would be approximately 13.56 kg.