SQU is trying a new particle accelerator design with a mechanical component using a spring that does not obey Hooke's law. When stretched/compressed x metres, it exerts a force of 37.6x+32.6x (a) Compute the work required to stretch the spring from x = 0.5 m to x = 2.2 m. (b) With one end of the spring fixed, a particle of mass 3.2 kg is attached to the other end of the spring when it is stretched by an amount x = 2.2 m. If the particle is then released from rest, what is its speed at the instant the stretch in the spring is x = 0.5 m? m/s (c) Is the force exerted by the spring conservative or nonconservative? Explain.

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SQU is trying a new particle accelerator design with a mechanical component using a spring that does not obey Hooke's
law. When stretched/compressed x metres, it exerts a force of 37.6x* + 32.6x²
(a) Compute the work required to stretch the spring from x = 0.5 m to x = 2.2 m.
(b) With one end of the spring fixed, a particle of mass 3.2 kg is attached to the other end of the spring when it is
stretched by an amount x = 2.2 m. If the particle is then released from rest, what is its speed at the instant the stretch in
the spring is x = 0.5 m?
m/s
(c)
Is the force exerted by the spring conservative or nonconservative? Explain.
Transcribed Image Text:SQU is trying a new particle accelerator design with a mechanical component using a spring that does not obey Hooke's law. When stretched/compressed x metres, it exerts a force of 37.6x* + 32.6x² (a) Compute the work required to stretch the spring from x = 0.5 m to x = 2.2 m. (b) With one end of the spring fixed, a particle of mass 3.2 kg is attached to the other end of the spring when it is stretched by an amount x = 2.2 m. If the particle is then released from rest, what is its speed at the instant the stretch in the spring is x = 0.5 m? m/s (c) Is the force exerted by the spring conservative or nonconservative? Explain.
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