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)
0 4.75
0.25 3.36
0.50 0
0.75 âˆ’3.36
1.00 âˆ’4.75
1.25 âˆ’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 blockâ€“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 =

Time of measurement, t (s)	Position of block, x (m)
0	4.75
0.25	3.36
0.50	0
0.75	âˆ’3.36
1.00	âˆ’4.75
1.25	âˆ’3.36
1.50	0
1.75	3.36
2.00	4.75
2.25	3.36
2.50	0

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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