calculate the weight of an astronaut of mass 50 kg on the surface of t...
F=ma
F=50kg×9.8 aprox take as 10(a=g)
F=500N on Earth
Which is 1/6th on moon
=1/6×500
=83.3 aprox
Ratio=?
Mass of astronaut on earth is 50 kg
on Moon will be 8.3 aprox.
Ratio=
50/8.3
.
calculate the weight of an astronaut of mass 50 kg on the surface of t...
Weight of Astronaut on Earth
The weight of an object is the force of gravity acting on it. On the surface of the Earth, the acceleration due to gravity is approximately 9.8 m/s^2. To calculate the weight of an object, we use the formula:
Weight = Mass x Acceleration due to gravity
Given that the mass of the astronaut is 50 kg, we can calculate the weight of the astronaut on the surface of the Earth as follows:
Weight on Earth = 50 kg x 9.8 m/s^2 = 490 N
Therefore, the weight of the astronaut on the surface of the Earth is 490 Newtons.
Weight of Astronaut on the Moon
The acceleration due to gravity on the surface of the Moon is only one-sixth of that on Earth. This means that the gravitational force acting on the astronaut on the Moon is weaker compared to that on Earth. Therefore, the weight of the astronaut on the Moon will be less than on Earth.
To find the weight of the astronaut on the Moon, we use the same formula as before:
Weight = Mass x Acceleration due to gravity
However, this time the acceleration due to gravity is one-sixth of that on Earth, which is approximately 1.6 m/s^2. Substituting the values, we get:
Weight on Moon = 50 kg x 1.6 m/s^2 = 80 N
Therefore, the weight of the astronaut on the surface of the Moon is 80 Newtons.
Ratio of Mass on Earth and Moon
The mass of an object remains the same regardless of its location. The mass of the astronaut is given as 50 kg. Hence, the mass of the astronaut on both Earth and the Moon is the same, which is 50 kg.
The ratio of the mass of the astronaut on Earth to the mass of the astronaut on the Moon is therefore:
Mass on Earth / Mass on Moon = 50 kg / 50 kg = 1
Therefore, the ratio of the mass of the astronaut on Earth to the mass of the astronaut on the Moon is 1:1.
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