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

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To determine the required horizontal force to push a 7.3 kg shopping cart up a 13° incline with an acceleration of 1.67 m/s², one must consider the forces acting on the cart. The applied force is horizontal, which complicates the calculation as it differs from the incline's angle. After analyzing the forces, the correct approach leads to the solution for the horizontal force needed. The discussion highlights the importance of understanding force components in inclined scenarios. Ultimately, the problem is resolved with the correct application of physics principles.
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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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