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29 August, 03:04

The position of a 50 g oscillating mass is given by x (t) = (2.0cm) cos (10t-π/4), where t is in s. If necessary, round your answers to three significant figures. Determine:

the amplitude

2cm

the period

.628s

the spring constant

5N/m

the phase constant

-.785rad

the initial coordinate of the mass

1.41cm

the initial velocity

14.1 cm/s

maximum speed 20 cm/s

what's the total energy?

+3
Answers (1)
  1. 29 August, 05:39
    0
    For the answer to the question above, this is the maximum displacement, the spring has only elastic potential energy.

    spring is constant @ 5 N/m

    maximum displacement = 2 cm = 0.02 m

    elastic potential energy = 1/2 kx²

    = 0.5 x 5 x 0.02²

    So the answer would be

    = 0.001 Joules
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