A spring with a spring constant of 35.0 N/m is attached to different masses, and the system is set in motion.
What is the period for a mass of 34 g?
Answer in units of s
To find the period of a mass-spring system, you can use the formula:
T = 2π√(m/k)
Where T is the period, m is the mass, and k is the spring constant.
In this case, the mass is 34 g, which can be converted to kilograms by dividing by 1000:
m = 34 g / 1000 = 0.034 kg
And the spring constant is given as 35.0 N/m.
Now, we can plug these values into the formula:
T = 2π√(0.034 kg / 35.0 N/m)
T = 2π√(0.034 / 35.0) s
Calculating this expression using a calculator, we find:
T ≈ 0.713 s
Therefore, the period for a mass of 34 g in this system is approximately 0.713 seconds.