How Fast is the Wagon Going After Moving Up the Hill?

What is the weight of the wagon and the tension in the tow rope?

The wagon has a weight of 35.1 kg and the tension in the tow rope is 125 N.

Answer:

The weight of the wagon is 35.1 kg and the tension in the tow rope is 125 N.

When a 35.1 kg wagon is towed up a hill inclined at 18.3 degrees with respect to the horizontal, and the tow rope has a tension of 125 N, there are forces at play that determine the acceleration and speed of the wagon. The weight of the wagon, which is 35.1 kg, creates a force due to gravity. This force can be calculated by multiplying the mass of the wagon by the acceleration of gravity, which is 9.8 m/s^2.

Next, we need to consider the components of the weight force that are parallel and perpendicular to the hill. By applying trigonometry, we can find that a portion of the weight force, equal to 108 N, is parallel to the hill and opposes the tension of the rope which is also 125 N. The net force moving the wagon up the hill is therefore 125 N - 108 N = 17 N.

Using Newton's second law (F = ma), we can calculate the acceleration of the wagon to be 0.4843 m/s^2. By integrating the acceleration with respect to time, we can find the velocity of the wagon after it has moved a distance of 75.4 m up the hill, which is 4.933 m/s.