002 (part 1 of 2) 10.0 points A student decides to move a box of books into her
ID: 1539369 • Letter: 0
Question
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 160 N at an angle of 29° above the horizon- tal. The box has a mass of 26.2 kg, and the coefficient of friction between box and floor is 0.262. 2 N 160 The acceleration of gravity is9.8 m/s 26.2 kg 0.262 Find the acceleration of the box. Answer in units of m/s 003 (part 2 of 2) 10.0 points The student now starts moving the box up a 13.40 incline, keeping her 160 N force directed at 29f above the line of the incline. 26.2 kg 13.45 If the coefficient of friction is unchanged.Explanation / Answer
F =160 N , m = 26.2 kg, uk = 0.262 , g = 9.8 m/s^2
Net force along vertical direction
N +Fsin(29) = mg
N +160*sin(29) = 26.2*9.8
N = 179.2 N
Net force along horizontal direction
Fcos(29) -Fk = ma
Fk = uk*N
160*cos(29) - 0.262*179.2 = 26.2*a
a = 3.55 m/s^2
Net force along vertical direction
N +Fsin(29+13.4) = mgcos(13.4)
N +160*sin(29) = 26.2*9.8cos(13.4)
N =172.2 N
Net force along horizontal direction
Fcos(29+13.4) -Fk -mgsin(13.4) = ma
160*cos(29+13.4) - 0.262*172.2 - 26.2*9.8*sin(13.4) = 26.2*a
a = 0.52 m/s^2
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.