A student decides to move a box of books into her dormitory room bypulling on a

Question

A student decides to move a box of books into her dormitory room bypulling on a rope attached to the box. She pulls with a forceof 100.0 N at an angleof 21.0° above the horizontal. The box has amass of 25.0 kg, and the coefficient of kinetic friction betweenbox and floor is 0.300. (a) Findthe acceleration of the box.
m/s2

(b) The student now pulls the moving box up a 10.0° incline,keeping her 100.0 N forcedirected at 21.0°above the line of the incline. If thecoefficient of friction is unchanged, what is the new accelerationof the box?
m/s2
(a) Findthe acceleration of the box.
m/s2

(b) The student now pulls the moving box up a 10.0° incline,keeping her 100.0 N forcedirected at 21.0°above the line of the incline. If thecoefficient of friction is unchanged, what is the new accelerationof the box?
m/s2

Explanation / Answer

(a) Findthe acceleration of the box.
m/s2
resultantforce=100cos21-k*(25*9.8-100sin21)=30.599
acceleration=1.22396m/sec2

(b) The student now pulls the moving box up a 10.0° incline,keeping her 100.0 N forcedirected at 21.0°above the line of the incline. If thecoefficient of friction is unchanged, what is the new accelerationof the box?
m/s2
resultantforce=100cos10- k*25*9.8*cos21=98.48-68.61/25=1.194m/sec*sec

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