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One day a human being will land on mars. mars has a diameter of 6786 km and a massof 6.42 × 1023 kg. if you weighed 834 n on earth, how much would you weigh on mars?

Respuesta :

wolf1728
Mars radius = 3,393 km
Mars Mass = 6.42 x 10^23 kg
Earth Radius = 6,371 km
Earth Mass = 5.97237×10^24kg

Gravity is directly proportional to mass and

Gravity is inversely proportional to the square of the distance. 

So, we can come up with this equation:
Force = Mass / radius^2

Force Earth = 5.97237 x 10^24 / 6,371^2
Force = 1.471 x 10^17

Force Mars = 6.42 x 10^23 / 3,393^2
Force = 5.577 x 10^16

Earth's gravity vs Mars' Gravity = 1.471 x 10^17 / 5.577 x 10^16
= 2.64

Earth has 2.64 times the gravitational attraction that Mars has.
So, you would weigh 834 / 2.64 =
316 Newtons on Mars.


raphealnwobi

If you weighed 834N on earth, you will weigh 31.6N on Mars.

On earth the acceleration due to gravity is 9.81 m/s². Since the weight on earth is 834N, hence:

Weight = mass * acceleration due to gravity

834 = mass * 9.81

Mass = 85 kg

The acceleration due to gravity (g) on Mars is:

g = GM/r²

Where G = gravitational constant = 6.67 * 10⁻¹¹ Nm²/kg², r is radius, M = mass

M = 6.42 × 10²³ kg, r = diameter / 2 = 6786 km / 2 = 3393 km = 3393000 m. Hence:

g = 6.67 * 10⁻¹¹ * 6.42 × 10²³ / (3393000)² = 3.72 m/s³

Weight on Mars = 85 kg * 3.72 m/s² = 31.6 N

Find out more at: https://brainly.com/question/21536611

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