(a) PE = 0.016J
(b) PE = 1470J
Step-by-step explanation:
Given:
Mass, m = 4 kg
distance, x = 0.12 m
Spring constant, k = 2.3N/m
Potential energy, PE = ?
We know:
![PE = (1)/(2) kx^2](https://img.qammunity.org/2021/formulas/physics/college/4tviiyr9wo7bi487z2jvssx2xmllnjaqll.png)
On substituting the value we get:
![PE = (1)/(2) X 2.3 X (0.12)^2\\\\PE = 0.016J](https://img.qammunity.org/2021/formulas/physics/middle-school/ocwew17tn77kiarnzvde76iupnwabyqe6c.png)
(b)
Mass, m = 10kg
Height, h = 15m
Potential energy, PE = ?
Acceleration due to gravity, g = 9.8 m/s²
![PE = mgh\\\\PE = 10 X 15 X 9.8\\\\PE = 1470J](https://img.qammunity.org/2021/formulas/physics/middle-school/6k2fh9juppt60c7d381haxl4g2z3okhoks.png)