Choose the correct option for each question. There is only one correct response for each question.
A container is used to move cement bags with different masses to a construction site. Identify the container which will resist the maximum when we apply a force to move them

Options

A.
B.
C.
D.

Answer

To solve the problem of identifying which container will resist the maximum when a force is applied to move cement bags of different masses, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Friction**:
- Friction is the force that opposes the motion of an object. It is affected by the weight of the object and the nature of the surfaces in contact.

2. **Identify the Factors Affecting Friction**:
- The frictional force (F_friction) can be expressed as:
\[ F_{\text{friction}} = \mu \cdot N \]
where \( \mu \) is the coefficient of friction and \( N \) is the normal force (which is equal to the weight of the object when on a horizontal surface).

3. **Determine the Normal Force**:
- The normal force (N) is equal to the weight of the cement bags, which can be calculated using the formula:
\[ N = m \cdot g \]
where \( m \) is the mass of the object and \( g \) is the acceleration due to gravity (approximately \( 9.8 \, \text{m/s}^2 \)).

4. **Compare the Masses of the Cement Bags**:
- The problem states that there are cement bags with different masses: 5 kg, 10 kg, 15 kg, and 20 kg.

5. **Calculate the Friction for Each Mass**:
- For each mass, the normal force and thus the frictional force can be calculated:
- For 5 kg: \( N = 5 \cdot 9.8 = 49 \, \text{N} \)
- For 10 kg: \( N = 10 \cdot 9.8 = 98 \, \text{N} \)
- For 15 kg: \( N = 15 \cdot 9.8 = 147 \, \text{N} \)
- For 20 kg: \( N = 20 \cdot 9.8 = 196 \, \text{N} \)

6. **Identify the Maximum Resistance**:
- Since the frictional force is directly proportional to the normal force, the bag with the highest mass will have the highest frictional force.
- Comparing the normal forces calculated, the 20 kg bag has the highest normal force (196 N), thus it will resist the maximum when a force is applied.

7. **Select the Correct Option**:
- Therefore, the correct option is **A: 20 kg**.