What Information Is Needed to Calculate the Angle of a Slide on a Hill?

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To calculate the angle of a slide on a hill, key information includes the mass of the object, its acceleration, and the coefficient of friction. The slide's slope is given as 10 degrees, and the mass is 113.5 kg with an acceleration of 3 m/s². The force of gravity acting on the object and the force of friction must be determined to derive the necessary equations. By establishing these forces, the angle of the hill can be isolated as the only unknown in the equations. Understanding these components is essential for accurately calculating the angle of the slide.
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what must be known to figure out the angle of the slide to the hill?

a slide is on a hill. the slide sits at a 10 degree slope. a 113.5 kg mass accelerates down the slide at 3 m/s squared. the coefficient of friction is .13.

what do i need to figure out here before finding the angle?

thanks
 
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What is the equation to calculate the force of friction on the object?

What is the force of gravity pushing down the slide?

From here, you should be able to get an equation with the angle of the hill as your only unknown
 

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