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usu34ny.theexpertta.com The Expert TA | Human-like Grading, Automated! A Box Of

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Question

usu34ny.theexpertta.com The Expert TA | Human-like Grading, Automated! A Box Of Mass M Is Initially At Rest At The Highes... I Chegg.com (10%) Problem 4: A brick of mass m is initially at rest at the highest point of an inclined plane, which has a height of 4.4 m and has an angle of = 292 with respect to the horizontal. After letting go of the object, it is observed to be traveling at v- 0.85 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the brick and the plane isMp-0.1, and the coefficient of friction on the horizontal surface is 0.2 initial Final tatus for ew Otheexpertta.com tatus ompleted ompleted artial 50% Part (a) What is the speed of the brick, in meters per second, just after it leaves the inclined plane? Grade Summary bottom 0% 100% sinO cotan0asin acos0 atan acotan sinh0 cosh0tanh) cotanhO Submissions Attempts remaining: S (3% per attempt) tan detailed view END Degrees Radians Submit Hint I give up! Hints: 1 % deduction or hint. Hints remaining: 2 Feedback: 0% deduction per feedback. 50% Part (b) Find the distance, d, in meters

Explanation / Answer

a)

acceleration of the brick

a=g(SIn(o)-uCos(o)) =9.81(sin29-0.1Cos29)

a=3.9 m/s2

Speed at the bottom

Vbottom=sqrt[2ad] =sqrt[2*3.9*(4.4/sin29)]

Vbottom=8.41 m/s

b)

Distance moved by the box

d=V2/2ug =8.412/2*0.2*9.81

d=18.03 m