A cable and electric winch is used to pull a 2800kg boulder out of a ravine at c
ID: 2095961 • Letter: A
Question
A cable and electric winch is used to pull a 2800kg boulder out of a ravine at constant speed. The boulder undergoes a vertical displacement of 18m by sliding along a 27-degree incline in a time of 81 seconds. The boulder-incline system has a kinetic friction coefficient of 0.77.a) What is the tension in the cable while the boulder is being pulled uphill? b) What minimum power is used by the winch for it to pull the boulder to the top of the incline? A cable and electric winch is used to pull a 2800kg boulder out of a ravine at constant speed. The boulder undergoes a vertical displacement of 18m by sliding along a 27-degree incline in a time of 81 seconds. The boulder-incline system has a kinetic friction coefficient of 0.77.
a) What is the tension in the cable while the boulder is being pulled uphill? b) What minimum power is used by the winch for it to pull the boulder to the top of the incline?
Explanation / Answer
T=mgsintheta+(mu)mgcostheta
=31.2834 KN
B)V=0.4895 M/S (18/SIN27 /81)
POwer=31.2834*0.4895=15.036 kilowattt
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