An astronaut on earth has a weight of 850 N calculate his weight on the moon where the gravity is 5 times less
To calculate the weight of the astronaut on the moon, you need to know the value of gravity on the moon relative to Earth. Given that the gravity on the moon is 5 times less than on Earth, we can use the following steps to find the weight of the astronaut on the moon:
Step 1: Determine the weight on Earth.
The weight of the astronaut on Earth is given as 850 N.
Step 2: Calculate the gravity on the moon.
Since the gravity on the moon is 5 times less than on Earth, we can use the formula:
gravity on the moon = gravity on Earth / 5
Step 3: Calculate the weight on the moon.
To find the weight on the moon, we need to use the formula:
Weight on the moon = mass × gravity on the moon
The mass of the astronaut is not provided in the question. However, we don't need the mass to find the weight ratio, as mass doesn't affect the ratio of weights between two places with different gravitational forces. Therefore, we can calculate the weight ratio directly.
Step 4: Calculate the weight ratio between Earth and the moon.
Weight ratio = weight on the moon / weight on Earth
Substituting the given values into the formulas, we get:
gravity on the moon = 9.8 m/s^2 / 5 = 1.96 m/s^2
weight ratio = weight on the moon / weight on Earth = (mass × gravity on the moon) / 850 N
Since we are not given the mass, we cannot calculate the exact weight of the astronaut on the moon. However, we can express it in terms of the weight on Earth. The final answer would be:
Weight on the moon = weight ratio × weight on Earth = weight ratio × 850 N.
Please note that the weight calculated will be proportional to the weight on Earth, but not equal to it, as weight depends on both mass and gravity.
If you know the mass of the astronaut, you can substitute it into the formula to find the exact weight on the moon.
To find the astronaut's weight on the moon, where gravity is 5 times less than on Earth, follow these steps:
Step 1: Calculate the weight on Earth using the formula: Weight = Mass * Gravity.
Given that the weight on Earth is 850 N, we need to find the mass.
Step 2: Rearrange the formula to solve for mass: Mass = Weight / Gravity.
Since the gravity on Earth is approximately 9.8 m/s^2, substitute the values into the formula:
Mass = 850 N / 9.8 m/s^2.
Step 3: Calculate the weight on the Moon using the formula: Weight = Mass * Gravity.
Since gravity on the Moon is 5 times less than on Earth, we can substitute the gravity with 1/5th of Earth's gravity: 9.8 m/s^2 / 5.
Step 4: Substitute the values into the formula to calculate the weight on the Moon:
Weight = Mass * (9.8 m/s^2 / 5).
Step 5: Calculate the weight on the Moon:
Weight = (850 N / 9.8 m/s^2) * (9.8 m/s^2 / 5).
Weight = (850 N / 9.8) * (9.8 / 5).
Step 6: Simplify the expression:
Weight = 850 N / 5.
Weight = 170 N.
Therefore, the astronaut's weight on the Moon is 170 N.
850/5 = 170 Newtons
(actually it is closer to 1/6 )
Remember the mass is the same on both earth and the moon and weight is m * local g