Find the magnitude of the horizantal force

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SUMMARY

The problem involves calculating the horizontal force required to accelerate a 7.5-kg shopping cart at 1.41 m/s² up a 13-degree incline. The correct answer is 28N, as confirmed by the discussion. The initial calculations attempted by the user included multiplying the acceleration by the mass and applying the cosine function, but they did not account for the gravitational force acting on the cart. Properly incorporating gravitational effects is essential for accurate results.

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dg_5021
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Hey can someone please help me with this problem. accorning to the back of the book the answer is 28N. I tried doing this first multipling 1.41*7.5 = 10.575. Then i used this formula 10.575cos(13)= but i got 9.59625.
Am I missing a step, please help?

Problem:
a shopper pushes a 7.5-kg shopping cart up a 13 incline. Find the magnitude of the horizantal force, F, needed to give the cart an acceleration of 1.41 m/s2.
 
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someone please help?
 
You need to account for the fact that gravity is tending to accelerate the shopping cart downhill. :-)
 

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