8. A block of mass 5.0 kg starts with an initial speed of 3 m/s at point A and slides without friction from a height of 5.00 m along a curved slide (see figure). (a) Determine the total amount of energy at point B (b) Find the speed of the block at point C on the slide. (c) Find the speed of the block when it impacts the ground. 5.00 m 3.20 m 2.00 m

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Chapter1: Units, Trigonometry. And Vectors
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**Physics Problem: Kinetic and Potential Energy of a Sliding Block**

**Problem Statement:**

A block of mass 5.0 kg starts with an initial speed of 3 m/s at point A and slides without friction from a height of 5.00 m along a curved slide (see figure).

(a) Determine the total amount of energy at point B.

(b) Find the speed of the block at point C on the slide.

(c) Find the speed of the block when it impacts the ground.

**Diagram Explanation:**

The diagram illustrates a curved slide with three important points marked: A, B, and C. These points correspond to different elevations on the slide. The heights at each point are indicated as follows:

- Point A: 5.00 m above the ground
- Point B: 3.20 m above the ground
- Point C: 2.00 m above the ground

Arrows pointing downward from each point indicate the height from which measurements are taken. The slide is depicted with a swooping wavy line, representing a frictionless path for the block as it moves downwards due to gravity.

**Solution Strategy:**

To solve this problem, we will use the principles of conservation of energy. Since there is no friction, mechanical energy (potential energy + kinetic energy) will be conserved throughout the block’s motion. We will:

1. Calculate the total energy at point B using initial conditions.
2. Use energy conservation to determine the speed of the block at point C.
3. Find the speed when the block reaches the ground, where potential energy is zero.
Transcribed Image Text:**Physics Problem: Kinetic and Potential Energy of a Sliding Block** **Problem Statement:** A block of mass 5.0 kg starts with an initial speed of 3 m/s at point A and slides without friction from a height of 5.00 m along a curved slide (see figure). (a) Determine the total amount of energy at point B. (b) Find the speed of the block at point C on the slide. (c) Find the speed of the block when it impacts the ground. **Diagram Explanation:** The diagram illustrates a curved slide with three important points marked: A, B, and C. These points correspond to different elevations on the slide. The heights at each point are indicated as follows: - Point A: 5.00 m above the ground - Point B: 3.20 m above the ground - Point C: 2.00 m above the ground Arrows pointing downward from each point indicate the height from which measurements are taken. The slide is depicted with a swooping wavy line, representing a frictionless path for the block as it moves downwards due to gravity. **Solution Strategy:** To solve this problem, we will use the principles of conservation of energy. Since there is no friction, mechanical energy (potential energy + kinetic energy) will be conserved throughout the block’s motion. We will: 1. Calculate the total energy at point B using initial conditions. 2. Use energy conservation to determine the speed of the block at point C. 3. Find the speed when the block reaches the ground, where potential energy is zero.
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