The work that a force does by acting on an object is equal to what?
1) the product of force (in the direction of motion) and distance and is negative if the force and motion are in the same direction
2) the product of force (in the direction of motion) and distance and is positive if the force and motion are in the same direction
3) the product of force and distance without regard to direction
4) the product of distance and kinetic energy
5) the product of momentum and force (in the direction of motion)
1J = 1N-m
so, work = force * distance
now consider whether the quantities are vectors or scalars.
This question is flawed, except for a very beginning student. Work is force IN THE DIRECTION OF MOVEMENT times distance moved.
The work that a force does on an object is equal to the product of the force and the distance over which it acts. It can be calculated using the formula:
Work = Force * Distance * cos(theta)
Here, theta represents the angle between the direction of the force and the direction of the displacement (or motion) of the object.
Now, let's go through the options one by one to determine the correct answer:
1) The statement that the work is the product of force and distance, and is negative if the force and motion are in the same direction, is incorrect. The work is negative when the force and displacement are in opposite directions.
2) The statement that the work is the product of force and distance, and is positive if the force and motion are in the same direction, is correct. When the force and displacement are in the same direction, the work is positive.
3) The statement that the work is the product of force and distance without regard to direction is incorrect since the direction of the force is essential in determining the work.
4) The statement that the work is the product of distance and kinetic energy is incorrect. The work is not directly related to kinetic energy.
5) The statement that the work is the product of momentum and force (in the direction of motion) is incorrect. The work is not related to momentum.
Therefore, the correct answer is option 2) the product of force (in the direction of motion) and distance, and the work is positive if the force and motion are in the same direction.