Answer:
E = 0.01 J
Explanation:
Given that,
The mass of the cart, m = 0.15 kg
The force constant of the spring, k = 3.58 N/m
The amplitude of the oscillations, A = 7.5 cm = 0.075 m
We need to find the total mechanical energy of the system. It can be given by the formula as follows :
[tex]E=\dfrac{1}{2}kA^2[/tex]
Put all the values,
[tex]E=\dfrac{1}{2}\times 3.58\times (0.075)^2\\\\=0.01\ J[/tex]
So, the value of total mechanical energy is equal to 0.01 J.