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The radius of earth is about 6400 km and Mars is 3200 km . The mass of earth is about 10 times the mass of Mars . An object weighs 200 N on the surface of earth . Its weight on the surface of Mars will be ?
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The radius of earth is about 6400 km and Mars is 3200 km . The mass of...
Understanding Weight on Different Planets
Weight is the force exerted on an object due to gravity. It can be calculated using the formula:
Weight = mass × gravitational acceleration (g).
Gravitational Acceleration on Earth and Mars
- The gravitational acceleration on Earth (g_E) is approximately 9.81 m/s².
- The gravitational acceleration on Mars (g_M) can be derived using the relationship between mass and radius.
Given:
- Mass of Earth (M_E) = 10 × Mass of Mars (M_M)
- Radius of Earth (R_E) = 6400 km
- Radius of Mars (R_M) = 3200 km
Using the formula for gravitational acceleration (g = G * M / R²), we can substitute the known values.
Calculating Gravitational Acceleration on Mars
- The ratio of gravitational accelerations can be expressed as:
g_M / g_E = (M_M / R_M²) / (M_E / R_E²)
- Substituting M_E = 10M_M and R_E = 2R_M, we find:
g_M = (1/4) * g_E
- Therefore, g_M ≈ 2.45 m/s².
Weight Calculation on Mars
- The weight of the object on Earth is 200 N.
- Mass of the object (m) can be calculated from Earth's weight:
m = Weight_E / g_E = 200 N / 9.81 m/s² ≈ 20.39 kg.
- Now, calculate the weight on Mars:
Weight_M = m × g_M = 20.39 kg × 3.71 m/s² ≈ 75.7 N.
Conclusion
- The weight of the object on the surface of Mars will be approximately 75.7 N.
This demonstrates how weight changes due to variations in gravitational acceleration on different celestial bodies.
Weight is the force exerted on an object due to gravity. It can be calculated using the formula:
Weight = mass × gravitational acceleration (g).
Gravitational Acceleration on Earth and Mars
- The gravitational acceleration on Earth (g_E) is approximately 9.81 m/s².
- The gravitational acceleration on Mars (g_M) can be derived using the relationship between mass and radius.
Given:
- Mass of Earth (M_E) = 10 × Mass of Mars (M_M)
- Radius of Earth (R_E) = 6400 km
- Radius of Mars (R_M) = 3200 km
Using the formula for gravitational acceleration (g = G * M / R²), we can substitute the known values.
Calculating Gravitational Acceleration on Mars
- The ratio of gravitational accelerations can be expressed as:
g_M / g_E = (M_M / R_M²) / (M_E / R_E²)
- Substituting M_E = 10M_M and R_E = 2R_M, we find:
g_M = (1/4) * g_E
- Therefore, g_M ≈ 2.45 m/s².
Weight Calculation on Mars
- The weight of the object on Earth is 200 N.
- Mass of the object (m) can be calculated from Earth's weight:
m = Weight_E / g_E = 200 N / 9.81 m/s² ≈ 20.39 kg.
- Now, calculate the weight on Mars:
Weight_M = m × g_M = 20.39 kg × 3.71 m/s² ≈ 75.7 N.
Conclusion
- The weight of the object on the surface of Mars will be approximately 75.7 N.
This demonstrates how weight changes due to variations in gravitational acceleration on different celestial bodies.
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The radius of earth is about 6400 km and Mars is 3200 km . The mass of earth is about 10 times the mass of Mars . An object weighs 200 N on the surface of earth . Its weight on the surface of Mars will be ?
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The radius of earth is about 6400 km and Mars is 3200 km . The mass of earth is about 10 times the mass of Mars . An object weighs 200 N on the surface of earth . Its weight on the surface of Mars will be ? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The radius of earth is about 6400 km and Mars is 3200 km . The mass of earth is about 10 times the mass of Mars . An object weighs 200 N on the surface of earth . Its weight on the surface of Mars will be ? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radius of earth is about 6400 km and Mars is 3200 km . The mass of earth is about 10 times the mass of Mars . An object weighs 200 N on the surface of earth . Its weight on the surface of Mars will be ?.
The radius of earth is about 6400 km and Mars is 3200 km . The mass of earth is about 10 times the mass of Mars . An object weighs 200 N on the surface of earth . Its weight on the surface of Mars will be ? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The radius of earth is about 6400 km and Mars is 3200 km . The mass of earth is about 10 times the mass of Mars . An object weighs 200 N on the surface of earth . Its weight on the surface of Mars will be ? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radius of earth is about 6400 km and Mars is 3200 km . The mass of earth is about 10 times the mass of Mars . An object weighs 200 N on the surface of earth . Its weight on the surface of Mars will be ?.
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