a 2.00 kg mass vibrates according to the equation x= .60 cos7.40t where x is in meters and t is in seconds. Determine (a) Amplitude (b) frequency (c) the total energy (d) kinetic energy and potential energy when x= 0.260m

for (a) I got .65m
(b) I did (7.4/2pi) and got 11.6 Hz
(c) I have no clue how to find the total energy, so if anyone can help, I would appreciate it :)
(d) I know that w= (k/m)^ 1/2 But I really don't know what to do to get the answer!
I look forward to any feedback, please and thank you!

Question

a 2.00 kg mass vibrates according to the equation  x= .60 cos7.40t where x is in meters and t is in seconds. Determine (a) Amplitude (b) frequency (c) the total energy (d) kinetic energy and potential energy  when x= 0.260m

for (a) I got .65m
(b) I did (7.4/2pi) and got 11.6 Hz
(c) I have no clue how to find the total energy, so if anyone can help, I would appreciate it :)
(d) I know that w= (k/m)^ 1/2 But I really don't know what to do to get the answer! 
I look forward to any feedback, please and thank you!

anonymous · Answer

* The equation was  x= .65 cos7.40t

anonymous · Answer

From point (d) you mentioned, I see that you do know the equations and formulas you need to. 

Since we are dealing with a spring, the energy stored in it will be $$\frac{1}{2}kx ^{2}$$You already know the amplitude and the angular frequency. So, find k using that relation you mentioned in (d) and you're done. 

After you're done with the question, consider looking up SHM again and spend some time understanding the various quantities in the equation. It'll help you a lot more than simply knowing the formulas. I know it helped me a lot.