If a man has a mass of 90 kg on earth, what is his mass on the moon?
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Since mass is same at every place
The mass at moon will be 90 kg
To determine the mass of a person on the moon, we need to understand the concept of mass and how it relates to gravity. Mass is a measure of the amount of matter in an object and is usually measured in kilograms (kg). On the other hand, weight is the force exerted on an object due to gravity and varies depending on the strength of gravity in a particular location.
On Earth, the acceleration due to gravity is approximately 9.8 meters per second squared (m/s^2). This means that a 90 kg man on Earth would experience a gravitational force of approximately 90 kg x 9.8 m/s^2 = 882 Newtons (N).
The moon has a much weaker gravitational pull compared to Earth. The acceleration due to gravity on the surface of the moon is approximately 1.6 m/s^2. To determine the man's mass on the moon, we need to calculate the force exerted by the moon's gravity on him. Using the equation F = m x g, where F is the force, m is the mass, and g is the acceleration due to gravity, we can rearrange the equation to solve for mass.
Given that the force exerted by the moon's gravity on the man is the same as on Earth (882 N) and the acceleration due to gravity on the moon is 1.6 m/s^2, we can rearrange the equation as follows:
m = F / g
m = 882 N / 1.6 m/s^2
m ≈ 551.25 kg
Therefore, the man would have a mass of approximately 551.25 kg on the moon. Note that mass is constant regardless of the location, while weight varies depending on the strength of gravity.