How Accurate Are These Calculations for Simple Harmonic Motion?

[nyyfan0729]

A block of mass 0.5kg moving on a horizontal frictionless surface at 2.0 m/s collides with and sticks to a massless pan attached to the end of a horizontal ideal spring whose spring constan is 32 N/m.
a) Determine the function for x(t), the displacement from equilibrium position as a function of time.
I got this to be x(t) = .25sin(8t)

b) What is the period T, of the subsequent oscillations?
I got the period to be .785 sec

c) What is the kinetic energy of the mass 4.0 sec after it collides with the spring?
I got this to be .997j

d) What force is exerted by the spring on the block at t=1.2 sec? Which way is the block moving? Explain
I got the force to be -1.334N

ARE MY ANSWERS RIGHT, I ALSO SAID THAT Xo=0m when using my equation.

 

[Hootenanny]

You have to show your working, it is much easier to check for systematic errors, you can't expect someone to work through your problems from scratch.

 

[kyle8921]

I would say that your answers seem to be correct based on the given information. However, it is always important to show your work and explain your reasoning in order to ensure the accuracy of your calculations. Additionally, it would be helpful to include units for each of your values to make the answer more clear. Overall, your understanding of simple harmonic motion and its related concepts appears to be accurate.