An object undergoes a displacement while being acted on by a constant force directed to the north. The work done on this object by the force is positive during the displacement. Which statement is necessarily true about the average velocity of the object during the displacement?
A.The average velocity is zero.
B.The average velocity is toward the south.
C.The average velocity is toward the north.
D.The average velocity has a component toward the north.
E.The average velocity has a component toward the south.
...I think it's either C or D...?
D. The average velocity has a component toward the north.
The correct answer is D. The average velocity of the object during the displacement necessarily has a component toward the north.
When a constant force is applied to an object, it can accelerate the object in the direction of the force. Since the work done on the object by the force is positive, it means that the force and displacement are in the same direction. As a result, the object will move in the same direction as the force, which is toward the north.
Therefore, the average velocity of the object during the displacement will have a component toward the north. Option D, "The average velocity has a component toward the north," is the correct answer.
To determine the correct answer, let's analyze the information provided:
1. The object undergoes a displacement while being acted on by a constant force directed to the north.
2. The work done on the object by the force is positive.
Work, in physics, is defined as the product of the applied force and the displacement of the object in the direction of the force. Positive work indicates that the force and displacement are in the same direction.
Now, let's consider the nature of average velocity. Average velocity is the total displacement divided by the total time taken. Displacement is a vector quantity that includes both magnitude (distance) and direction.
Since the object is being acted upon by a constant force directed to the north, it means that the displacement of the object is also in the north direction. The work done on the object is positive, which means the force and displacement are in the same direction. Thus, the average velocity of the object during the displacement must also have a component towards the north.
Considering the options, the only statement that aligns with this information is:
D. The average velocity has a component toward the north.
Therefore, the correct answer is D.