2. Suppose instead that the hand were to push with a force of the same magnitude as before but do zero work. The displacement of the block is the same as before. In the space at right, draw an arrow to show the direction of the force by the hand. Displacement Force on block of block by hand 3. A block is initially moving to the right on a level, frictionless surface. A hand exerts a constant horizontal force on the block that causes the block to slow down (stage 1), turn around, then move in the opposite direction while speeding up (stage 2). 1. Complete the table below. Draw arrows to indicate relevant directions, and take the positive x-direction to the right. Displacement Sign Force by hand Work done Direction Direction Sign Sign Stage 1 Stage 2

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Could you help with sections B and C?

## Work and Changes in Kinetic Energy

### I. Relating Work, Force, and Displacement

#### A. The figure at right shows a hand pushing a block as it moves through a displacement Δs.

- **Diagram 1**: 
  - It depicts a hand pushing a block to the right with a displacement denoted as Δs.
  - **Arrow**: Indicates the direction of the original force applied by the hand.

##### Questions:

1. Suppose instead the force exerted by the hand were directed partially downward as shown. Both the displacement of the block and the magnitude of the force are the same as before.
   
   **Question**: Would the work done by the new force be greater than, less than, or equal to the work done by the original force? Explain.
   
2. Suppose instead that the hand were to push with a force of the same magnitude as before but do zero work. The displacement of the block is the same as before. In the space at right, draw an arrow to show the direction of the force by the hand.

   - **Diagram 2**:
     - Shows the same block with the displacement Δs.
     - **Arrow**: Indicates the direction of the new force applied by the hand.

#### B. A block is initially moving to the right on a level, frictionless surface. A hand exerts a constant horizontal force on the block that causes the block to slow down (stage 1), turn around, then move in the opposite direction while speeding up (stage 2).

##### Questions:

1. Complete the table below. Draw arrows to indicate relevant directions, and take the positive x-direction to the right.

   |                   | Displacement | Force by hand | Work done |
   |-------------------|:------------:|:-------------:|:---------:|
   |                   | Direction    | Sign          | Direction | Sign | Sign |
   | **Stage 1**       |              |               |           |      |      |
   | **Stage 2**       |              |               |           |      |      |

2. Which entries in the table, if any, would differ if instead the positive x-direction were to the left? Explain your reasoning.

3. Consider the following statement:

   "The force is always to the left. So if left is negative, then the work done is negative in both stages. If we change the coordinate system and make left positive
Transcribed Image Text:## Work and Changes in Kinetic Energy ### I. Relating Work, Force, and Displacement #### A. The figure at right shows a hand pushing a block as it moves through a displacement Δs. - **Diagram 1**: - It depicts a hand pushing a block to the right with a displacement denoted as Δs. - **Arrow**: Indicates the direction of the original force applied by the hand. ##### Questions: 1. Suppose instead the force exerted by the hand were directed partially downward as shown. Both the displacement of the block and the magnitude of the force are the same as before. **Question**: Would the work done by the new force be greater than, less than, or equal to the work done by the original force? Explain. 2. Suppose instead that the hand were to push with a force of the same magnitude as before but do zero work. The displacement of the block is the same as before. In the space at right, draw an arrow to show the direction of the force by the hand. - **Diagram 2**: - Shows the same block with the displacement Δs. - **Arrow**: Indicates the direction of the new force applied by the hand. #### B. A block is initially moving to the right on a level, frictionless surface. A hand exerts a constant horizontal force on the block that causes the block to slow down (stage 1), turn around, then move in the opposite direction while speeding up (stage 2). ##### Questions: 1. Complete the table below. Draw arrows to indicate relevant directions, and take the positive x-direction to the right. | | Displacement | Force by hand | Work done | |-------------------|:------------:|:-------------:|:---------:| | | Direction | Sign | Direction | Sign | Sign | | **Stage 1** | | | | | | | **Stage 2** | | | | | | 2. Which entries in the table, if any, would differ if instead the positive x-direction were to the left? Explain your reasoning. 3. Consider the following statement: "The force is always to the left. So if left is negative, then the work done is negative in both stages. If we change the coordinate system and make left positive
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