Consider the data for a block of mass
m = 0.245 kg
given in the table below, which gives the position of a blockconnected to a horizontal spring at several times. Friction isnegligible.
| Time of measurement, t (s) | Position of block, x (m) |
|---|
| 0 | 4.75 |
| 0.25 | 3.36 |
| 0.50 | 0 |
| 0.75 | −3.36 |
| 1.00 | −4.75 |
| 1.25 | −3.36 |
| 1.50 | 0 |
| 1.75 | 3.36 |
| 2.00 | 4.75 |
| 2.25 | 3.36 |
| 2.50 | 0 |
(a) What is the mechanical energy of the block–springsystem?
J
(b) Write expressions for the kinetic and potential energies asfunctions of time. (Use the following as necessary: t.Assume K and U are measured in joules. Do notinclude units in your answer.)
