A body weighs 700 gm wt on the surface of the earth. How much will it ...
A body weighs 700 gm wt on the surface of the earth. How much will it ...
Weight of the body on the surface of the Earth:
The weight of an object on the surface of the Earth is given by the equation:
Weight = mass x acceleration due to gravity
The mass of the body is given as 700 gm wt (gram weight). To convert it into kilograms, we divide it by 1000:
Mass = 700 gm wt / 1000 = 0.7 kg
Acceleration due to gravity on the surface of the Earth is approximately 9.8 m/s^2.
Using the equation for weight, we can calculate the weight of the body on the surface of the Earth:
Weight = 0.7 kg x 9.8 m/s^2 = 6.86 N (Newton)
Weight of the body on the surface of the given planet:
The weight of an object on the surface of a planet is also given by the equation:
Weight = mass x acceleration due to gravity
To find the weight of the body on the given planet, we need to determine the acceleration due to gravity on that planet.
Acceleration due to gravity on the given planet:
The acceleration due to gravity on a planet is given by the equation:
g = (G * M) / R^2
Where:
g is the acceleration due to gravity on the planet,
G is the gravitational constant,
M is the mass of the planet,
R is the radius of the planet.
Given that the mass of the given planet is 1/7th of the Earth's mass, and the radius of the given planet is half of the Earth's radius, we can substitute these values into the equation to calculate the acceleration due to gravity on the given planet.
Calculating the weight of the body on the given planet:
Once we have determined the acceleration due to gravity on the given planet, we can use the weight equation to calculate the weight of the body on that planet.
Weight = mass x acceleration due to gravity
Substituting the mass of the body and the acceleration due to gravity on the given planet, we can calculate the weight of the body on the given planet.
Answer:
- The weight of the body on the surface of the Earth is 6.86 N (Newton).
- To find the weight of the body on the given planet, we need to determine the acceleration due to gravity on that planet.
- The acceleration due to gravity on the given planet can be calculated using the equation: g = (G * M) / R^2, where G is the gravitational constant, M is the mass of the planet, and R is the radius of the planet.
- Given that the mass of the given planet is 1/7th of the Earth's mass, and the radius of the given planet is half of the Earth's radius, we can substitute these values into the equation to calculate the acceleration due to gravity on the given planet.
- Once we have determined the acceleration due to gravity on the given planet, we can use the weight equation to calculate the weight of the body on that planet.
- Substituting the mass of the body and the acceleration due to gravity on the given planet, we can calculate the weight of the body on the given planet.
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