If there is just one force acting on an object, does its work necessarily result in an increase in kinetic energy? Explain. (Select all that apply.)

1.Yes, when a force does work on an object it always results in an increase in kinetic energy.
2.The work done by the force on the object might result in an increase in kinetic energy.
3.No, if the force is at right angles to a body moving in a circular path, this centripetal force does no work and cannot change the kinetic energy.
4.No, if there is a force component along the line of motion, the force could act opposite to the motion and cause a decrease in kinetic energy.

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The correct answers are:

2. The work done by the force on the object might result in an increase in kinetic energy.
3. No, if the force is at right angles to a body moving in a circular path, this centripetal force does no work and cannot change the kinetic energy.
4. No, if there is a force component along the line of motion, the force could act opposite to the motion and cause a decrease in kinetic energy.

To understand why these answers are correct, let's break down the concept:

1. Yes, when a force does work on an object, it can result in an increase in kinetic energy. This is because work is defined as the product of force and displacement in the direction of the force. If the force and displacement are in the same direction, the work is positive, and it increases the object's kinetic energy.

2. It is correct to say that the work done by the force on the object might result in an increase in kinetic energy. This statement acknowledges that there may be cases where the force does work, but it does not necessarily always lead to an increase in kinetic energy. The increase in kinetic energy depends on various factors, such as the direction and magnitude of the force relative to the motion of the object.

3. No, if the force is at right angles to a body moving in a circular path, this centripetal force does no work and cannot change the kinetic energy. In circular motion, the force required to keep the object moving in a circle is called the centripetal force. This force is always directed toward the center of the circular path and is perpendicular to the displacement of the object. Since the force and displacement are at right angles, no work is done, and thus, the kinetic energy remains unchanged.

4. No, if there is a force component along the line of motion, the force could act opposite to the motion and cause a decrease in kinetic energy. In cases where there is a force component acting opposite to the direction of motion, the force does negative work. Negative work decreases the object's kinetic energy, slowing it down or even bringing it to a stop, depending on the magnitude of the force and the distance over which it acts.

In summary, the work done by a force on an object does not necessarily always result in an increase in kinetic energy. It depends on various factors such as the direction and magnitude of the force relative to the motion of the object.

3 and 4 are true. 1. is false

2.says "might result in an increase" which is a true statement, but they asked if it necessarly causes an increase, which it does not.