In the figure, a block of mass m = 19 kg is released from rest on a frictionless incline of angle = 27°. Below the block is a spring that can be compressed 4.8 cm by a force of 230 N. The block momentarily stops when it compresses the spring by 5.7 cm. (a) How far does the block move down the incline from its rest position to this stopping point? (b) What is the speed of the block just as it touches the spring? 0 "

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Chapter1: Units, Trigonometry. And Vectors
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In the figure, a block of mass \( m = 19 \, \text{kg} \) is released from rest on a frictionless incline of angle \( \theta = 27^\circ \). Below the block is a spring that can be compressed 4.8 cm by a force of 230 N. The block momentarily stops when it compresses the spring by 5.7 cm. 

(a) How far does the block move down the incline from its rest position to this stopping point? 

(b) What is the speed of the block just as it touches the spring?

**Diagram Explanation:**

The diagram illustrates a block resting on an incline. The incline makes an angle \( \theta = 27^\circ \) with the horizontal. A spring is positioned at the base of the incline, and it is shown in a compressed state under the block. The block is labeled with a mass \( m \). The setup depicts the process as the block slides down the incline and compresses the spring. The incline is marked with a right triangle to indicate the angle \( \theta \).
Transcribed Image Text:In the figure, a block of mass \( m = 19 \, \text{kg} \) is released from rest on a frictionless incline of angle \( \theta = 27^\circ \). Below the block is a spring that can be compressed 4.8 cm by a force of 230 N. The block momentarily stops when it compresses the spring by 5.7 cm. (a) How far does the block move down the incline from its rest position to this stopping point? (b) What is the speed of the block just as it touches the spring? **Diagram Explanation:** The diagram illustrates a block resting on an incline. The incline makes an angle \( \theta = 27^\circ \) with the horizontal. A spring is positioned at the base of the incline, and it is shown in a compressed state under the block. The block is labeled with a mass \( m \). The setup depicts the process as the block slides down the incline and compresses the spring. The incline is marked with a right triangle to indicate the angle \( \theta \).
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