To calculate Saturn's radius, we can use the formula for gravitational force:
F = (G * m1 * m2) / r^2
Where:
F = gravitational force
G = gravitational constant (6.67430 × 10^-11 N(m/kg)^2)
m1 = mass of object 1 (Mohit's mass, 50.0 kg)
m2 = mass of object 2 (Saturn's mass)
r = distance between the center of the two objects (Saturn's radius, what we're trying to find)
From the problem, we are given that Mohit weighs 554 N on Saturn. Weight is the gravitational force acting on an object, so we can replace F with 554 N.
Let's rearrange the formula to solve for r:
r^2 = (G * m1 * m2) / F
Plugging in the known values:
r^2 = (6.67430 × 10^-11 N(m/kg)^2 * 50.0 kg * m2) / 554 N
To solve for r, we need to know Saturn's mass, m2. However, this information is not given in the problem. Without Saturn's mass, we cannot calculate its radius.
Mohit has a mass of 50.0 kg and weighs 554 N on Saturn. Calculate Saturn’s radius.
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