An inclined plane of angle e = 20.0° has a spring of force constant k = 525 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in the figure below. A block of mass m = 2.61 kg is placed on the plane at a distance d = 0.315 m from the spring. From this position, the block is projected downward toward the spring with speed v = 0.750 m/s. By what distance sthe spring compressed when the block momentarily comes to rest? Enter a number. differs from the correct answer by more than 10%. Double check your calculations. m

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**

An inclined plane with an angle \( \theta = 20.0^\circ \) has a spring with a force constant \( k = 525 \, \text{N/m} \) fastened securely at the bottom, ensuring the spring is parallel to the surface. See the figure below for reference. A block with a mass \( m = 2.61 \, \text{kg} \) is placed on the plane at a distance \( d = 0.315 \, \text{m} \) from the spring. From this position, the block is projected downward toward the spring with a speed \( v = 0.750 \, \text{m/s} \). Determine the distance by which the spring is compressed when the block momentarily comes to rest.

**Diagram Explanation:**

The diagram illustrates an inclined plane with a spring attached at the bottom. The spring is parallel to the incline. There is a block on the plane positioned at a distance \( d \) from the spring. An arrow indicates the initial velocity of the block directed towards the spring.

**Feedback Message:**

A prompt box for entering a numerical answer is shown. A feedback message states: "Your answer differs from the correct answer by more than 10%. Double check your calculations. m"
Transcribed Image Text:**Problem Statement:** An inclined plane with an angle \( \theta = 20.0^\circ \) has a spring with a force constant \( k = 525 \, \text{N/m} \) fastened securely at the bottom, ensuring the spring is parallel to the surface. See the figure below for reference. A block with a mass \( m = 2.61 \, \text{kg} \) is placed on the plane at a distance \( d = 0.315 \, \text{m} \) from the spring. From this position, the block is projected downward toward the spring with a speed \( v = 0.750 \, \text{m/s} \). Determine the distance by which the spring is compressed when the block momentarily comes to rest. **Diagram Explanation:** The diagram illustrates an inclined plane with a spring attached at the bottom. The spring is parallel to the incline. There is a block on the plane positioned at a distance \( d \) from the spring. An arrow indicates the initial velocity of the block directed towards the spring. **Feedback Message:** A prompt box for entering a numerical answer is shown. A feedback message states: "Your answer differs from the correct answer by more than 10%. Double check your calculations. m"
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