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The weight of man on surface of earth is 588 Newton find his mass if gravity is equal to 9.8 metre per second square if the man is taken to moon his weight is equal to 98 Newton what is his mass on moon also calculate acceleration due to gravity on Moon?
Verified Answer
The weight of man on surface of earth is 588 Newton find his mass if g...
Given, weight on earth = 600 N
Since, W = mg
As, acceleration due to gravity (g) on earth ≈≈ 10 m/s2
So, 600 = m X 10
m = 60 kg
On moon weight of the man, W' = 100 N
Mass of the man will remain same on moon as that of the earth = 60 kg
Since, W' = m g'
where g' is the value of acceleration due to gravity on the moon
So, g' = W'/ m = 100/60 = 1.67 m/s2.
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Most Upvoted Answer
The weight of man on surface of earth is 588 Newton find his mass if g...
The weight and mass of a man on Earth and the Moon
To find the mass of a man, we need to understand the concepts of weight and mass and how they relate to each other. Weight is the force with which an object is pulled towards the center of the Earth (or any other celestial body) due to gravity, while mass is the amount of matter contained in an object.
Weight and mass on Earth:
Given that the weight of the man on the surface of the Earth is 588 Newtons and the acceleration due to gravity on Earth is 9.8 meters per second squared, we can use the formula: Weight = Mass * Acceleration due to gravity.
Therefore, 588 N = Mass * 9.8 m/s^2.
Calculating mass on Earth:
Rearranging the formula, we find:
Mass = Weight / Acceleration due to gravity.
Hence, the mass of the man on Earth is:
Mass = 588 N / 9.8 m/s^2 = 60 kg.
Weight and mass on the Moon:
Given that the weight of the man on the Moon is 98 Newtons, we need to calculate the acceleration due to gravity on the Moon and the mass of the man on the Moon.
Acceleration due to gravity on the Moon:
The acceleration due to gravity on the Moon is approximately 1/6th of that on Earth, which is 9.8 m/s^2. Therefore, the acceleration due to gravity on the Moon is:
9.8 m/s^2 / 6 = 1.63 m/s^2.
Calculating mass on the Moon:
Using the same formula as before, we find:
Mass = Weight / Acceleration due to gravity.
Hence, the mass of the man on the Moon is:
Mass = 98 N / 1.63 m/s^2 = 60 kg.
Summary:
- The weight of the man on Earth is 588 Newtons, and his mass is 60 kg.
- The weight of the man on the Moon is 98 Newtons, and his mass is also 60 kg.
- The acceleration due to gravity on the Moon is approximately 1.63 m/s^2, which is 1/6th of that on Earth.
To find the mass of a man, we need to understand the concepts of weight and mass and how they relate to each other. Weight is the force with which an object is pulled towards the center of the Earth (or any other celestial body) due to gravity, while mass is the amount of matter contained in an object.
Weight and mass on Earth:
Given that the weight of the man on the surface of the Earth is 588 Newtons and the acceleration due to gravity on Earth is 9.8 meters per second squared, we can use the formula: Weight = Mass * Acceleration due to gravity.
Therefore, 588 N = Mass * 9.8 m/s^2.
Calculating mass on Earth:
Rearranging the formula, we find:
Mass = Weight / Acceleration due to gravity.
Hence, the mass of the man on Earth is:
Mass = 588 N / 9.8 m/s^2 = 60 kg.
Weight and mass on the Moon:
Given that the weight of the man on the Moon is 98 Newtons, we need to calculate the acceleration due to gravity on the Moon and the mass of the man on the Moon.
Acceleration due to gravity on the Moon:
The acceleration due to gravity on the Moon is approximately 1/6th of that on Earth, which is 9.8 m/s^2. Therefore, the acceleration due to gravity on the Moon is:
9.8 m/s^2 / 6 = 1.63 m/s^2.
Calculating mass on the Moon:
Using the same formula as before, we find:
Mass = Weight / Acceleration due to gravity.
Hence, the mass of the man on the Moon is:
Mass = 98 N / 1.63 m/s^2 = 60 kg.
Summary:
- The weight of the man on Earth is 588 Newtons, and his mass is 60 kg.
- The weight of the man on the Moon is 98 Newtons, and his mass is also 60 kg.
- The acceleration due to gravity on the Moon is approximately 1.63 m/s^2, which is 1/6th of that on Earth.
Community Answer
The weight of man on surface of earth is 588 Newton find his mass if g...
Acceleration due to gravity - moon is 1/6 that of earth
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The weight of man on surface of earth is 588 Newton find his mass if gravity is equal to 9.8 metre per second square if the man is taken to moon his weight is equal to 98 Newton what is his mass on moon also calculate acceleration due to gravity on Moon? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The weight of man on surface of earth is 588 Newton find his mass if gravity is equal to 9.8 metre per second square if the man is taken to moon his weight is equal to 98 Newton what is his mass on moon also calculate acceleration due to gravity on Moon? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The weight of man on surface of earth is 588 Newton find his mass if gravity is equal to 9.8 metre per second square if the man is taken to moon his weight is equal to 98 Newton what is his mass on moon also calculate acceleration due to gravity on Moon?.
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