A mass of 1.53 kg is attached to a spring and the system is undergoing simple harmonic oscillations with a frequency of 1.95 Hz and an amplitude of 7.50 cm What is the total mechanical energy of the system? Select one: 0.955 0J 0.646 J 0.633 j 0.844

Question

Answer 1

To find the total mechanical energy of the system, we can use the formula for the total mechanical energy in simple harmonic motion:

where:-

is the total mechanical energy,-

is the spring constant,-

is the amplitude.First, we need to find the spring constant

. We can use the formula for the angular frequency

in simple harmonic motion:

where:-

is the angular frequency,-

is the frequency.Given that the frequency

is 1.95 Hz, we can calculate the angular frequency

:

Next, we can use the formula for the spring constant

:

where:-

is the mass.Given that the mass

is 1.53 kg, we can calculate the spring constant

:

Now, we can calculate the total mechanical energy

using the amplitude

of 7.50 cm (or 0.075 m):

Therefore, the correct answer is:

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