Answer:
Step-by-step explanation:
To determine which statement best describes what must be true for Object A to have a greater value of work, we need to understand the concept of work in physics. In physics, work is defined as the product of the force applied to an object and the distance over which the force is applied. Mathematically, work (W) is represented by the equation W = F × d, where F is the applied force and d is the distance.
In the given scenario, Object B is pushed across a longer distance than Object A. We are looking for the condition under which Object A would have a greater value of work.
1. A greater force is applied to Object A: If a greater force is applied to Object A compared to Object B, then Object A would indeed have a greater value of work. This is because work is directly proportional to the applied force. So, if the force applied to Object A is larger, it would result in a greater value of work.
2. Equal forces are applied to Objects A and B: If equal forces are applied to both Object A and Object B, then the force factor does not play a role in determining the difference in work. Therefore, this statement does not address the condition required for Object A to have a greater value of work.
3. The distance traveled by Object A is greater: If the distance traveled by Object A is greater than the distance traveled by Object B, while the applied forces are equal, then Object A would indeed have a greater value of work. As mentioned earlier, work is directly proportional to the distance over which the force is applied. So, if Object A travels a greater distance, it would result in a greater value of work.
4. The distance traveled by Object B is lower: This statement does not address the condition required for Object A to have a greater value of work. The relationship between the distances traveled by Object A and Object B does not affect the comparison of their work values.
In summary, the statement that best describes what must be true for Object A to have a greater value of work is: "The distance traveled by Object A is greater." If Object A travels a greater distance, while the applied forces remain equal, it would result in a greater value of work for Object A.