Newton's Second Law: Calculating Net Force on a Wagon with a Child (28.5kg)

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SUMMARY

The discussion focuses on calculating the net force acting on a wagon carrying a child with a combined mass of 28.5 kg. The wagon is pulled at a 40-degree angle, with a frictional force of 12.0 N opposing the motion. To determine the pulling force (F), a right-angled triangle is constructed, where the horizontal component equals the frictional force. The net force is then calculated by performing vector addition of the weight (W) and the pulling force (F), with the angle between them being 130 degrees.

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  • Understanding of Newton's Second Law of Motion
  • Basic knowledge of vector addition
  • Familiarity with trigonometric functions in right triangles
  • Concept of frictional forces in physics
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  • Calculate the pulling force (F) using trigonometric relationships
  • Learn about vector addition in physics
  • Explore the implications of friction on net force calculations
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A wagon carries a child. Together mass is 28.5kg. You pull on the handle of the wagon at an angle of 40degrees from the horizontal. The wagon travels over a level horizontal sidewalk. A force of friction of 12.0N acts on the wagon.

a) What is the net force acting on the wagon?



Note: I'm really having trouble with calculating this (triangle wise). Please help ASAP.
 
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There's a force W operating vertically downwards. It's the weight of the trolley.
There's a force F pulling on the trolley. All I know about that force is that the horizontal component is sufficient to overcome a 12N frictional force.
So build a right angled triangle with a 40° angle in it to represent the force vectors. The hypotenuse is length F (unknown for the moment). The force adjacent to the 40° angle is length 12. Now can you calculate F?

Then you need to do the vector addition of W and F to find the net force.
The angle between F and W will be 90° + 40°.
 

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