Find th 002 (part 1 of 2) 10.0 points A student decides to move a box of books i

Question

Find th 002 (part 1 of 2) 10.0 points A student decides to move a box of books into her dormitory room by pulling on a rope at- tached to the box. She pulls with a force of The coe 160 N at an angle of 29 above the horizon-4.26 kg tal. The box has a mass of 26.2 kg, and the The a coefficient of friction between box and floor is 0.297. The acceleration of gravity is 9.8 m/s2 29° 26.2 kg = 0.2971 Find the acceleration of the box. What r the crate vent thec Answer Answer in units of m/s. 003 (part 2 of 2) 10.0 points The student now starts moving the box up a 14.1° incline, keeping her 160 N force directed at 29° above the line of the incline. 26.2 kg 14.1 If the coefficient of friction is unchanged,

Explanation / Answer

1) acceleration of box a = Fnet /m

= (160 cos 29 degree - 0.297*(26.2*9.8-160 sin 29 degree)) /26.2

= 3.31 m/s^2 Answer

2) here balancing force along the incline,

Mg sin theta = uN

4.26*9.8* sin 28.3 degree = 0.339*( 4.26*9.8*cos 28.3 degree +F)

19.792 /0.339 = 36.758 +F

F = 19.792 /0.339 - 36.758

= 21.625 N answer

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