Consider the data for a block of mass m = 0.280 kg given in the table below, which gives the position of a block connected to a horizontal spring at several times. Friction is negligible. Time of measurement, t (s) 0 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 Position of block, x (m) 4.85 3.43 0 -3.43 -4.85 -3.43 0 (a) What is the mechanical energy of the block-spring system? 31.1 X K= 3.43 4.85 3.43 0 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. J U= (b) Write expressions for the kinetic and potential energies as functions of time. (Use the following as necessary: t. Assume K and U are measured in joules. Do not include units in your answer.)

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Chapter1: Units, Trigonometry. And Vectors
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Consider the data for a block of mass m = 0.280 kg given in the table below, which gives the position of a block connected to a horizontal spring at several
times. Friction is negligible.
Time of measurement, t (s) Position of block, x (m)
4.85
K=
0
U =
0.25
0.50
0.75
1.00
1.25
1.50
1.75
2.00
2.25
2.50
3.43
0
-3.43
-4.85
-3.43
0
(a) What is the mechanical energy of the block-spring system?
31.1
X
Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all
intermediate results to at least four-digit accuracy to minimize roundoff error. J
3.43
4.85
3.43
0
(b) Write expressions for the kinetic and potential energies as functions of time. (Use the following as necessary: t. Assume K and U are measured in
joules. Do not include units in your answer.)
Transcribed Image Text:Consider the data for a block of mass m = 0.280 kg given in the table below, which gives the position of a block connected to a horizontal spring at several times. Friction is negligible. Time of measurement, t (s) Position of block, x (m) 4.85 K= 0 U = 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 3.43 0 -3.43 -4.85 -3.43 0 (a) What is the mechanical energy of the block-spring system? 31.1 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. J 3.43 4.85 3.43 0 (b) Write expressions for the kinetic and potential energies as functions of time. (Use the following as necessary: t. Assume K and U are measured in joules. Do not include units in your answer.)
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