A45.2-kg wagon is towed up a hill inclined at 18.5∘ with respect to the horizontal. the tow rope is parallel to the incline and has a tension of 191 n in it. assume that the wagon starts from rest at the bottom of the hill, and neglect friction. how fast is the wagon going after moving 83.8 m up the hill?

The speed is 29.9 m/s

Explanation:

The force created from gravity due to the wagon mass is:

140.55 N pull the wagon down. Two parallel rope with tension of 191N creates 382 N on the wagon. Therefore:

241.45 N force is pulling up the wagon. Then we need to find the acceleration of the wagon under this force:

acceleration is 5.34 m/s^2. The distance is multiplication of acceleration and square of the time.

After 5.6 second the wagon will ride 83.8 m up to hill. And the speed of wagon at that point is:

a and b sometimes have a positive value