What Is the Speed of a Wagon After Ascending a Hill?

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SUMMARY

The discussion focuses on calculating the speed of a 40.0 kg wagon towed up a hill inclined at 18.0° with a tension of 140 N in the tow rope. The acceleration of the wagon can be determined by analyzing the forces acting on it, specifically the tension and the gravitational component acting against the motion. The gravitational force component is calculated as mg sin(θ), where m is the mass and θ is the incline angle. After determining the net force, the acceleration can be found using Newton's second law, and subsequently, the final speed after moving 77 m can be calculated using kinematic equations.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Basic knowledge of trigonometry (sine function)
  • Familiarity with kinematic equations
  • Concept of gravitational force components on an incline
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  • Calculate gravitational force components on an incline using mg sin(θ)
  • Learn how to apply Newton's second law to inclined planes
  • Explore kinematic equations for motion under constant acceleration
  • Study examples of forces acting on objects moving up and down inclines
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Students in physics, educators teaching mechanics, and anyone interested in understanding dynamics of objects on inclined planes.

TJ the Tornado
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A 40.0 kg wagon is towed up a hill inclined at 18.0° with respect to the horizontal. The tow rope is parallel to the incline and has a tension of 140 N. Assume that the wagon starts from rest at the bottom of the hill, and neglect friction. How fast is the wagon going after moving 77 m up the hill?


so all i need is the accel to do this one, how do you find it using a box moving up a incline i only know going down.
 
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for box going down show your work.

Hint
Tension is the driving force and component of gravity is opposing.
 
The only difference between going down a slope and going up is the direction!

Of course the acceleration due to gravity is always down so it's really the difference between adding and subtracting.
 

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