(c) The position, in terms of time, of a block of mass 0.20 kg on a frictionless horizontal surface, a the end of a horizontal spring which has a force constant of 1200 N/m, is x= (0.044m)cos(2aft) (i) Determine the total mechanical energy of the system. (ii) Determine the maximum velocity of the block. (iii) Determine the velocity of the block when x- 0.022 m.

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Chapter1: Units, Trigonometry. And Vectors
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(c) The position, in terms of time, of a block of mass 0.20 kg on a frictionless horizontal surface, a
the end of a horizontal spring which has a force constant of 1200 N/m, is
x= (0.044m) cos(2rft)
(i) Determine the total mechanical energy of the system.
Determine the maximum velocity of the block.
(iii) Determine the velocity of the block when x = 0.022 m.
(iv) What would the graph of x = (0.044m))cos(27fr)+r/4 represent? [Discuss the similaritie
and the differences between the two graphs of x = (0.044m) cos(27ft) and
x = (0.044m)cos(27ft) +n/4).]
(v) Draw the acceleration vs time graphs on top of each other, of
x = (0.044m)cos(2aft) and
x = (0.044m)cos[(2mft) +1
Interpret what is represented graphically.
Transcribed Image Text:(c) The position, in terms of time, of a block of mass 0.20 kg on a frictionless horizontal surface, a the end of a horizontal spring which has a force constant of 1200 N/m, is x= (0.044m) cos(2rft) (i) Determine the total mechanical energy of the system. Determine the maximum velocity of the block. (iii) Determine the velocity of the block when x = 0.022 m. (iv) What would the graph of x = (0.044m))cos(27fr)+r/4 represent? [Discuss the similaritie and the differences between the two graphs of x = (0.044m) cos(27ft) and x = (0.044m)cos(27ft) +n/4).] (v) Draw the acceleration vs time graphs on top of each other, of x = (0.044m)cos(2aft) and x = (0.044m)cos[(2mft) +1 Interpret what is represented graphically.
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