A body with mass of 500 g is attached to the end of a spring that is stretched 50 cm by a force of 9 N At time t=0 the body is pulled 1 m to the right, stretching the spring, and set in motion with an initial velocity of 8 m/s to the left (a) Find x(t) in the form C cos (oot - a). (b) Find the amplitude and the period of motion of the body (a) x(t) = (Use integers or decimals for any numbers in the expression. Round to four decimal places as needed) (b) The amplitude is (Round to four decimal places as needed.) The period is (Type an exact answer)
A body with mass of 500 g is attached to the end of a spring that is stretched 50 cm by a force of 9 N At time t=0 the body is pulled 1 m to the right, stretching the spring, and set in motion with an initial velocity of 8 m/s to the left (a) Find x(t) in the form C cos (oot - a). (b) Find the amplitude and the period of motion of the body (a) x(t) = (Use integers or decimals for any numbers in the expression. Round to four decimal places as needed) (b) The amplitude is (Round to four decimal places as needed.) The period is (Type an exact answer)
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Transcribed Image Text:A body with mass of 500 g is attached to the end of a spring that is stretched 50 cm by a force of 9 N. At time t = 0 the body is pulled 1 m to the right, stretching the spring, and set in motion with an initial velocity of 8 m/s to the left. (a)
Find x(t) in the form C cos (@ot-a) (b) Find the amplitude and the period of motion of the body
.
(a) x(t) = |
(Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.)
(b) The amplitude is
(Round to four decimal places as needed.)
The period is
(Type an exact answer.)
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