### Problem 3A block of mass \( m \) is pushed against a spring with spring constant \( k \) at the bottom of a long ramp that makes an angle \( \theta \) with respect to the horizontal. The block compresses the spring a distance \( d \) from its natural rest length but is **not** physically attached to the spring. There is a coefficient of friction \( \mu \) between the box and the ramp. If the block is released from rest and begins sliding up the incline, how far will it travel before coming to rest? Draw the **free-body force diagram** for the block at the instant the block is released from rest.**Law****Application**### Description of DiagramThe diagram shows a block of mass \( m \) compressed against a spring at the bottom of an inclined ramp. The ramp makes an angle \( \theta \) with the horizontal. There are no markings on the spring to indicate any specific details apart from its compression. The setup visually represents the initial conditions described: the block pressed against the spring and the incline with angle \( \theta \).

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Answered: A block of mass m is pushed against a…

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