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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?

Verified Answer :

MissPhiladelphia

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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