Answer:
(a) W = 635.9 N
(b) W = 475.2 N
(c) W = 677.3 N
(d) W = 655.3 N
Explanation:
A person weight is given by the following equation:
(1)
Where W: is the person weight, m: is the person mass, and g is the acceleration due to gravity.
The acceleration due to gravity, g, is:
(2)
Where G: is the gravitational constant = 6.67x10⁻¹¹ m³kg⁻¹s⁻², M: is the planet mass, and r: is the total radius
By introducing equation (2) into (1), we have:
(3)
With equation (3) we will find the weight of the person in all locations:
(a) On the surface of the Earth, r is the Earth's radius = 6.38x10⁶m and M is the Earth's mass = 5.97x10²⁴kg:
(b) 1000 km above the surface of Earth, r = 6.38x10⁶m + 10⁶m = 7.38x10⁶m:
(c) On the surface of Saturn, r = 6.03x10⁷m, and M= 5.68x10²⁶kg:
(d) 1000 km above the surface of Saturn, r = 6.03x10⁷m + 10⁶m = 6.13x10⁷m:
I hope it helps you!