Physics

To find the tension in the rope, we can follow these steps:

1. Calculate the weight of the sled:

 

2. Write the equation of motion:

Using Newton's second law, the net force acting on the sled can be expressed as:

 

Where:

 

So,

 

3. Identify forces acting on the sled:

The tension in the rope, , has a horizontal component that helps accelerate the sled and a vertical component that affects the normal force.

The frictional force opposes the motion.

 

4. Express the net force in the horizontal direction:

The net force acting on the sled in the horizontal direction is:

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