m = mass of granite boulder = 20 g
c = specific heat of granite boulder = 0.79 J/gC
T₀ = initial temperature of granite boulder = 10 °C
T = final temperature of granite boulder = 29 °C
Q = heat gained by granite boulder as energy from the sun
heat gained by granite boulder is given as
Q = m c (T - T₀)
inserting the values
Q = (20) (0.79) (29 - 10)
Q = 300.2 J
To solve this problem we need to use the equations related to Elastic Potential Energy, which allows us to know the Energy stored in a spring based on its elastic constant and its respective compression. By definition it is described as
Where,
k = Spring constant
x = Displacement
Our values are given as
As we do not know the spring constant but if the energy stored at the compression given then,
In the case of the second compression and understanding that the spring constant is intrinsic to the internal force of the spring, then
Replacing,
Therefore the elastic potential energy in the spring at this elongation is 45J
Answer: 4.08kg/J
Explanation: Please find the attached file for the solution