Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

sapling learning Map A piece of luggage is being loaded onto an airplane by way

ID: 1354886 • Letter: S

Question

sapling learning Map A piece of luggage is being loaded onto an airplane by way of an inclined conveyor belt. The bag, which has a mass of 15.0 kg, travels 6.50 m up the conveyor belt at a constant speed without slipping. If the conveyor belt is inclined at a 50.0° angle, calculate the work done on the bag by: 6.50 m the force of gravity (Wg) the normal force (WN) the friction force (W) 50.0 the conveyor belt (W Conveyor the net force (Whet) 733 J 956 J -956 J 733 J 615 J Zero -615 J Branimui (R Give Up & View Solution 2 Check Answer Next Exit Gri Pol You You up or You C you g You lo in you answe O eTex O Help Web O Techn

Explanation / Answer

Work done by the force of gravity Wg = Fg*S*cos(180) = -Fg*S

Fg =m*g*sin(theta)
= 15*9.81*sin(50) = 112.8 N
S = 6.5 m

then Wg = -112.8*6.5 = -732.7 J = -733 J

---------------------------------------------------

work done by normal force = Fn*S*cos(90) = 0 J

----------------------------------------------------

Work done by the frictional force = -fk*S

fk = mu_k*m*g*cos(50)


coeficient of kinetic friction is not given..if it is a frictionless surface then Wf = 0 J


WORK DONE BY the conveyor belt Wconveyor = 0 J

Work done by the net force = Wg+Wf