What is the Required Horizontal Force for a Shopping Cart on an Inclined Plane?

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SUMMARY

The required horizontal force to push a 7.3 kg shopping cart up a 13° incline with an acceleration of 1.67 m/s² is determined using the principles of physics. The applied force must be horizontal, which is crucial for calculating the net force acting on the cart. The solution involves resolving the forces acting on the cart and applying Newton's second law. The final answer is derived from the correct application of force equations relevant to inclined planes.

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Homework Statement


A shopper pushes a 7.3 kg shopping cart up a 13° incline, as shown in Figure 5-24. Find the magnitude of the horizontal force, F, needed to give the cart an acceleration of 1.67 m/s2.

05-21.gif

Figure 5-24

Homework Equations


All forces equations.


The Attempt at a Solution


wrhoas.jpg


Help?
 
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Realize that the applied force is horizontal, not parallel to the incline.
 
Ohhh, thank you, I got the answer!
 

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