There are two blocks connected by a rope which is wound over an ideal pulley. This is depicted in Figure 3. The blocks are released from rest. When the bottom block hits the ground, the top block is still to the left of the pulley. (a) When the bottom block hits the ground, how fast is it moving? (b) What is the work done by gravity on the bottom block, as it moves from its initial position to the ground? What is the total work done by gravity on the top block during the same time? (c) What is the tension in the rope, as the bottom block falls? (d) Using the work-energy theorem, compute the velocity of the bottom block as it hits the ground. Make sure you obtain the same result as in part (a).

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3. There are two blocks connected by a rope which is wound over an ideal
pulley. This is depicted in Figure 3. The blocks are released from rest.
When the bottom block hits the ground, the top block is still to the left
of the pulley.
(a) When the bottom block hits the ground, how fast is it moving?
(b) What is the work done by gravity on the bottom block, as it moves
from its initial position to the ground? What is the total work done by
gravity on the top block during the same time?
(c) What is the tension in the rope, as the bottom block falls?
(d) Using the work-energy theorem, compute the velocity of the bottom
block as it hits the ground. Make sure you obtain the same result as in
part (a).

**Figure 3: Block and Pulley System Diagram**

This figure represents a mechanical setup involving a block and pulley system, crucial for understanding basic physics concepts such as gravity, tension, and mechanical advantage.

**Diagram Details:**

- **Upper Block:** 
  - Weight: 3 kg
  - Positioned horizontally on a surface adjacent to the pulley.

- **Pulley:**
  - Acts as a pivotal support for the rope connecting the two blocks.
  - Positioned at the edge of the surface, facilitating the vertical drop of the second block.

- **Lower Block:**
  - Weight: 2 kg
  - Suspended vertically, hanging 2 meters from the ground.

**Concept Application:**
- **Tension and Forces:** Analyze the tension in the rope and forces acting on each block.
- **Gravitational Effects:** Consider the gravitational force impacting the 2 kg block.
- **Potential Energy:** Evaluate the potential energy stored in the elevated 2 kg block, considering its height.

This figure is used for solving the specific problem presented in question 3, often involving calculations of acceleration, force, and energy within the system.
Transcribed Image Text:**Figure 3: Block and Pulley System Diagram** This figure represents a mechanical setup involving a block and pulley system, crucial for understanding basic physics concepts such as gravity, tension, and mechanical advantage. **Diagram Details:** - **Upper Block:** - Weight: 3 kg - Positioned horizontally on a surface adjacent to the pulley. - **Pulley:** - Acts as a pivotal support for the rope connecting the two blocks. - Positioned at the edge of the surface, facilitating the vertical drop of the second block. - **Lower Block:** - Weight: 2 kg - Suspended vertically, hanging 2 meters from the ground. **Concept Application:** - **Tension and Forces:** Analyze the tension in the rope and forces acting on each block. - **Gravitational Effects:** Consider the gravitational force impacting the 2 kg block. - **Potential Energy:** Evaluate the potential energy stored in the elevated 2 kg block, considering its height. This figure is used for solving the specific problem presented in question 3, often involving calculations of acceleration, force, and energy within the system.
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