A ball is released from a depressed spring as in the diagram shown. Neglecting the 50 cm distance by

College Physics
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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Question 3:**

A diagram illustrates a scenario described as follows:

- **Mass of the ball (m):** 10 kg
- **Spring constant (k):** 300 N/m
- **Compression distance (x):** 0.5 m
- **Height (from which the ball starts):** 7 m
- **Angle (θ):** 55° relative to horizontal

Additional information:
- 40% of potential energy is lost as heat.

**Diagram Explanation:**

The diagram depicts a spring compressed and held at an angle of 55° from the horizontal, positioned in such a way that when released, the ball moves vertically from a height of 7 m.

**Problem Statement:**

A ball is released from a depressed spring as shown in the diagram. Neglect the 0.5 m distance by which the spring compresses. What is the final velocity of the ball when it hits the ground, considering the energy lost?

**Answer Choices:**

- 11.9 m/s
- 11.3 m/s
- 24.5 m/s
- 40.1 m/s
- 42.2 m/s
- NOTA (None of the Above)
Transcribed Image Text:**Question 3:** A diagram illustrates a scenario described as follows: - **Mass of the ball (m):** 10 kg - **Spring constant (k):** 300 N/m - **Compression distance (x):** 0.5 m - **Height (from which the ball starts):** 7 m - **Angle (θ):** 55° relative to horizontal Additional information: - 40% of potential energy is lost as heat. **Diagram Explanation:** The diagram depicts a spring compressed and held at an angle of 55° from the horizontal, positioned in such a way that when released, the ball moves vertically from a height of 7 m. **Problem Statement:** A ball is released from a depressed spring as shown in the diagram. Neglect the 0.5 m distance by which the spring compresses. What is the final velocity of the ball when it hits the ground, considering the energy lost? **Answer Choices:** - 11.9 m/s - 11.3 m/s - 24.5 m/s - 40.1 m/s - 42.2 m/s - NOTA (None of the Above)
Expert Solution
Step 1

Given that:

Mass of the ball, m=10 kg

Compression of spring, x= 50 cm= 0.5 m

Spring constant, k=300 N/m

Angle of projection, θ=55°

Height, h=7m

 

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