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The mass of a body on earth is 100 kg (acceleration due to gravity, ge = 10 m/s2). If the acceleration due to gravity on the moon is (ge/6), then the mass of the body on the moon is
- a)100/6 kg
- b)60 kg
- c)100 kg
- d)600 kg
Correct answer is option 'C'. Can you explain this answer?
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The mass of a body on earth is 100 kg (acceleration due to gravity, ge...
Mass will be the same i.e 100 kg... Weight will be 1/6 th... of that on Earth...
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The mass of a body on earth is 100 kg (acceleration due to gravity, ge...
Mass of the body on the moon
Given:
Mass of the body on Earth = 100 kg
Acceleration due to gravity on Earth (ge) = 10 m/s^2
Acceleration due to gravity on the moon = ge/6
To find the mass of the body on the moon, we can use the principle of weight.
Weight of an object is given by the formula:
Weight = Mass x Acceleration due to gravity
On Earth:
Weight of the body on Earth = Mass x Acceleration due to gravity on Earth
Wearth = 100 kg x 10 m/s^2 = 1000 N
On the Moon:
Weight of the body on the moon = Mass x Acceleration due to gravity on the moon
Wmoon = Mass x (ge/6)
Since weight is directly proportional to mass, we can equate the weights on Earth and the Moon.
Wearth = Wmoon
1000 N = Mass x (ge/6)
To find the mass of the body on the moon, we can rearrange the equation:
Mass = (1000 N) / (ge/6)
Simplifying further:
Mass = 1000 N x (6/ge)
Mass = 1000 N x (6/10)
Mass = 1000 N x 0.6
Mass = 600 N
Therefore, the mass of the body on the moon is 600 kg.
So, the correct answer is option 'D' - 600 kg.
Given:
Mass of the body on Earth = 100 kg
Acceleration due to gravity on Earth (ge) = 10 m/s^2
Acceleration due to gravity on the moon = ge/6
To find the mass of the body on the moon, we can use the principle of weight.
Weight of an object is given by the formula:
Weight = Mass x Acceleration due to gravity
On Earth:
Weight of the body on Earth = Mass x Acceleration due to gravity on Earth
Wearth = 100 kg x 10 m/s^2 = 1000 N
On the Moon:
Weight of the body on the moon = Mass x Acceleration due to gravity on the moon
Wmoon = Mass x (ge/6)
Since weight is directly proportional to mass, we can equate the weights on Earth and the Moon.
Wearth = Wmoon
1000 N = Mass x (ge/6)
To find the mass of the body on the moon, we can rearrange the equation:
Mass = (1000 N) / (ge/6)
Simplifying further:
Mass = 1000 N x (6/ge)
Mass = 1000 N x (6/10)
Mass = 1000 N x 0.6
Mass = 600 N
Therefore, the mass of the body on the moon is 600 kg.
So, the correct answer is option 'D' - 600 kg.
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The mass of a body on earth is 100 kg (acceleration due to gravity, ge = 10 m/s2). If the acceleration due to gravity on the moon is (ge/6), then the mass of the body on the moon isa)100/6 kgb)60 kgc)100 kgd)600 kgCorrect answer is option 'C'. Can you explain this answer?
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