An object is moving due east. You push the object. Work is being done at all times when you push...
East or West.
When you push the object, work is being done on the object by applying a force and displacing it in the same direction. Here are the steps to understand how work is being done:
Step 1: Work is defined as the product of the force applied on an object and the displacement of the object in the direction of the force. Mathematically, work (W) is given by:
W = force (F) × displacement (d) × cos(θ) (Equation 1)
where θ is the angle between the applied force and the direction of the displacement.
Step 2: Since the object is moving due east and you push it, the force you apply is also in the east direction.
Step 3: Assuming the displacement is also in the east direction, the angle between the force and displacement is 0 degrees. Therefore, the cosine of 0 degrees is 1.
Step 4: Plug in the values into Equation 1. Since the angle is 0 degrees, the cosine of 0 degrees is 1, so the equation simplifies to:
W = F × d
Step 5: The work done is directly proportional to the magnitude of the force applied and the magnitude of the displacement. If the force and displacement are both positive (in the east direction), the work will be positive.
Therefore, when you push the object and it is moving due east, work is being done on the object as long as the force you apply and the displacement are in the same direction.
When an object is moving due east and you push it, work is being done because a force is applied on the object in the direction of its displacement. To determine the amount of work being done, we need to know the force you applied and the distance over which you pushed the object.
The work done, W, is calculated using the equation:
W = F * d * cos(theta)
where F is the magnitude of the force applied, d is the distance over which the force is applied, and theta is the angle between the direction of the force and the direction of displacement.
In this case, since the object is moving due east and you push it in the same direction, the angle between the force and the displacement is 0 degrees, which means cos(theta) = 1. Therefore, the equation simplifies to:
W = F * d
So, the work done is equal to the magnitude of the force multiplied by the distance you pushed the object.
Note: If the force or distance varies over time, you would need to integrate the equation to find the total work done over that interval.