At t = 0, a cart of mass m = 5 kg starts rolling down an incline, making an angle α = 20o with the horizontal. Initially the cart rolls down with no friction, but after traveling a distance of ∆ = 10 m it encounters a rough surface, where the coefficient of friction is k = 0.45. Find the acceleration of the cart along the incline (positive direction is downhill) after it encounters the rough surface.   A.9.8 m/s2  B.9.2 m/s2  C.7.7 m/s2  D.3.6 m/s2  E.3.4 m/s2  F.-0.8 m/s2

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Chapter1: Units, Trigonometry. And Vectors
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At t = 0, a cart of mass m = 5 kg starts rolling down an incline, making an angle α = 20o with the horizontal. Initially the cart rolls down with no friction, but after traveling a distance of ∆ = 10 m it encounters a rough surface, where the coefficient of friction is k = 0.45.

Find the acceleration of the cart along the incline (positive direction is downhill) after it encounters the rough surface.

 

A.9.8 m/s2

 B.9.2 m/s2

 C.7.7 m/s2

 D.3.6 m/s2

 E.3.4 m/s2

 F.-0.8 m/s2

Expert Solution
Step 1

Given:- 

The mass of the cart is m = 5 kg 

the angle of the incline making an angle α = 20o with the horizontal. 

it encounters a rough surface, where the coefficient of friction is μk = 0.45.

Find:- 

The acceleration of the cart along the incline (positive direction is downhill) after it encounters the rough surface.

A.9.8 m/s2

 B.9.2 m/s2

 C.7.7 m/s2

 D.3.6 m/s2

 E.3.4 m/s2

 F.-0.8 m/s2

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