Final answer:
To find the value of k, we need to use the equation m_r = k and substitute the given values for the radius and mass of the sphere. Simplifying the equation, we find that k = 20 kg/m.
Step-by-step explanation:
To find the value of k, we need to use the equation provided and solve for k. The equation given is:
mr = k
Given that the radius of the sphere is 50mm and the mass is 1kg, we can substitute these values into the equation:
(1kg) = k(50mm)
Converting mm to meters (1m = 1000mm), we get:
(1kg) = k(0.05m)
Simplifying the equation, we find that:
k = 1kg / 0.05m = 20 kg/m