Problem 9.43 How much work does gravity do on the elevator? A 1900 kg elevator a

Question

Problem 9.43 How much work does gravity do on the elevator? A 1900 kg elevator accelerates upward at 1.20 m/s2 for 14.0 m, starting from rest. Express your answer with the appropriate units. WgVale Units Submit Request Answer Part B How much work does the tension in the elevator cable do on the elevator? Express your answer with the appropriate units. WrValue Units Submit Request Answer PartC What is the elevator's kinetic energy after traveling 14.0 m? Express your answer with the appropriate units. K. Value Units SubmitRec Reguest Answer

Explanation / Answer

part A)

let the tension in the cable is T

T = m * (g + a)

T = 1900 * (1.20 + 9.80)

T = 20900 N

the tension in the cable is 20900 N

work done by gravity = m * g * (-d)

work done by gravity = 1900 * 9.8 * (-14)

work done by gravity = -260680 J

part B)

work done by tension = 20900 * 14

work done by tension = 292600 J

part C)

kinetic energy of the elevator = total work done

kinetic energy of the elevator = -260680 + 292600

kinetic energy of the elevator = 31920 J

the kinetic energy of the elevator is 31920 J

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