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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 57.6x +72.6x² (a) Compute the work required to stretch the spring from x= 0.6 m to x = 1.3 m. (b) With one end of the spring fixed, a particle of mass 1.2 kg is attached to the other end of the %3D spring when it is stretched by an amount x = 1.3 m. If the particle is then released from rest, what is its speed at the instant the stretch in the spring is x = 0.6 m? (c) Is the force exerted by the spring conservative or nonconservative? Explain.

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 57.6x +72.6x² (a) Compute the work required to stretch the spring from x= 0.6 m to x = 1.3 m. (b) With one end of the spring fixed, a particle of mass 1.2 kg is attached to the other end of the %3D spring when it is stretched by an amount x = 1.3 m. If the particle is then released from rest, what is its speed at the instant the stretch in the spring is x = 0.6 m? (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 57.6x +72.6x² (a) Compute the work required to stretch the spring from x= 0.6 m to x = 1.3 m. (b) With one end of the spring fixed, a particle of mass 1.2 kg is attached to the other end of the %3D spring when it is stretched by an amount x = 1.3 m. If the particle is then released from rest, what is its speed at the instant the stretch in the spring is x = 0.6 m? (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 57.6x +72.6x² (a) Compute the work required to stretch the spring from x= 0.6 m to x = 1.3 m. (b) With one end of the spring fixed, a particle of mass 1.2 kg is attached to the other end of the %3D spring when it is stretched by an amount x = 1.3 m. If the particle is then released from rest, what is its speed at the instant the stretch in the spring is x = 0.6 m? (c) Is the force exerted by the spring conservative or nonconservative? Explain.
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