Answer:
To solve this question I had to search in google the spring constant = 375 N/m!
The velocity of the mass is 1.22 m/s.
Explanation:
To solve this question I had to search in google the spring constant = 375 N/m!
We can find the velocity of the mass by energy conservation:
[tex] E_{i} = E_{f} [/tex]
[tex] \frac{1}{2}kx_{i}^{2} = \frac{1}{2}mv^{2} + \frac{1}{2}kx_{f}^{2} [/tex]
Where:
m: is the mass = 0.500 kg
v: is the velocity of the mass=?
k: is the spring constant = 375 N/m (found in google)
[tex] x_{i}[/tex] and [tex]x_{f}[/tex]: are the initial and final position of the spring respectively
[tex]mv^{2} =k(x_{i}^{2} - x_{f}^{2})[/tex]
[tex] v = \sqrt{\frac{k(x_{i}^{2} - x_{f}^{2})}{m}} = \sqrt{\frac{375 N/m[(0.060m)^{2} - (-0.04 m)^{2}]}{0.500 kg}} = 1.22 m/s [/tex]
Therefore, the velocity of the mass is 1.22 m/s.
I hope it helps you!
