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  3. consider the data for a block of mass m = 0.245 kg

Consider the data for a block of mass m = 0.245 kg given in the table below,...

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Physics

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)
04.75
0.253.36
0.500
0.75−3.36
1.00−4.75
1.25−3.36
1.500
1.753.36
2.004.75
2.253.36
2.500

(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.)

K=
U=

Answer & Explanation Solved by verified expert
3.8 Ratings (649 Votes)
From the table we can see that the motion is a simple harmonicmotionThe amplitude of the SHM is 475 m and the period of SHM is 2sAn SHM can be described by a cosine function iePutting the    See Answer
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