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

[you too]

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

 

[Office_Shredder]

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

 

[kyle8921]

for the question. In order to calculate the angle of the slide, you will need to know the following information:
1. The mass of the object (113.5 kg)
2. The acceleration of the object (3 m/s squared)
3. The coefficient of friction (.13)
4. The slope of the slide (10 degrees).
With these values, you can use the formula for calculating the angle of the slide: tanθ = (μ*g*sinθ)/(cosθ - μ*g*cosθ), where θ is the angle of the slide, μ is the coefficient of friction, and g is the acceleration due to gravity (9.8 m/s squared).
I hope this helps. Let me know if you have any further questions.