2 years, 11 months ago
If you can jump three inches on the earth, how many inches could you jump on the moon? What are some intuitive ways to determine the number
Newtons on the Moon
Assume:
weight: 70 kg
Moon's mass: 7.36*10^22 kg
Moon radius: 737.4 km
resulting Newtons: 632 N
Earth Mass=6E+24kg
Person=70kg
Radius=6,380,000 meters
Result is 688.230265 newtons
The difference between the earth's is 52 N, how much more lift does 52 N give you?
One approach is to figure out how much you would weigh on the moon. Then take that weight and create a machine where you could push upward on the weight with your legs and see how far the weight displaces.
This would tell you, if the astronauts were actually running on the moon with 4 foot strides.
Assume:
weight: 70 kg
Moon's mass: 7.36*10^22 kg
Moon radius: 737.4 km
resulting Newtons: 632 N
Earth Mass=6E+24kg
Person=70kg
Radius=6,380,000 meters
Result is 688.230265 newtons
The difference between the earth's is 52 N, how much more lift does 52 N give you?
One approach is to figure out how much you would weigh on the moon. Then take that weight and create a machine where you could push upward on the weight with your legs and see how far the weight displaces.
This would tell you, if the astronauts were actually running on the moon with 4 foot strides.
Separate topics with commas, or by pressing return. Use the delete or backspace key to edit or remove existing topics.
You can leave an optional "tip" with Mahalo's virtual currency, Mahalo Dollars. If you are asking a difficult question that might require some research, or if you'd like a wide variety of feedback, a higher tip often leads to more answers to your question.
M$1 Answer
The moon's radius is about 1737 km (I presume you lost the leading 1 somewhere), which gives a value of 113.9 N for the person on the moon based on your "Newtons on the Moon" calculator. The Earth/moon ratio is then 688.2/113.9, or 6.04, which is usually rounded to 6.
If you weigh 70 kg on Earth, you would weigh one-sixth as much, or 11.7 kg, on the moon. The energy required for a three-inch jump on Earth would result in a jump six times higher (18 inches) on the moon. A four-foot vertical leap on the moon would require the same energy as an 8-inch jump on Earth.
If you weigh 70 kg on Earth, you would weigh one-sixth as much, or 11.7 kg, on the moon. The energy required for a three-inch jump on Earth would result in a jump six times higher (18 inches) on the moon. A four-foot vertical leap on the moon would require the same energy as an 8-inch jump on Earth.
You can leave an optional "tip" with Mahalo's virtual currency, Mahalo Dollars. If you are asking a difficult question that might require some research, or if you'd like a wide variety of feedback, a higher tip often leads to more answers to your question.
M$Report Abuse
