a couple part in a car on moonlit evening. Find that their car is stop in the sand. The women having studied physics, ties a rope to the car's bumper and stretches it around a tree in front of a car. She then pushes with 200 newton force against the horizontal. The cars starts to move. calculate the force of the rope on the car.

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To calculate the force of the rope on the car, we need to understand the concept of tension. Tension is the pulling force that exists in a stretched rope or any other object that is being pulled.

In this scenario, the woman applies a force of 200 Newtons against the horizontal, which is exerted on the rope. This force creates tension in the rope, which acts in both directions. One end of the rope is tied to the car's bumper, and the other end is anchored to the tree.

Now, assuming that there is no friction between the car's tires and the sand, and neglecting any other external forces, we can explain the forces acting on the car:

1. Tension force from the rope: The tension force in the rope pulls the car forward. Let's denote this force as T.
2. Applied force: The woman's force of 200 Newtons against the horizontal also contributes to accelerating the car. Let's denote this force as F.

According to Newton's third law of motion, the tension force in the rope (T) will be equal in magnitude but opposite in direction to the applied force (F) by the woman. Therefore, the force of the rope on the car (T) will also be 200 Newtons.

So, the force of the rope on the car is 200 Newtons.