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?

Question

Jonathan Henderson

Physics

27 January, 21:08

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)

Know the Answer?

Braylen Thornton · Answer 1

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