A crane lifts a load of mass m = 500 kg vertically at constant speed v = 2 ms-'. Find the power expended by the crane motor. What is the work done by the crane if the load is lifted through h = 20 m? A second cranc is able to lift the same load at twice the vertical speed. Find the power expended and the work done in lifting the load through the same height.
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- (a) Find the useful power output (in W) of an elevator motor that lifts a 2600 kg load a height of 30.0 m in 12.0 s, if it also increases the speed from rest to 4.00 m/s. Note that the total mass of the counterbalanced system is 10,000 kg-so that only 2600 kg is raised in height, but the full 10,000 kg is accelerated. (Enter a number.) X W 72100 (b) What does it cost (in cents), if electricity is $0.0900 per kW h? (Enter a number.) 2.163 X centsA skier of mass 77 kg is pulled up a slope by a motor-driven cable. (a) How much work is required to pull him 55 m up a 30° slope (assumed frictionless) at a constant speed of 2.4 m/s? kJ (b) What power (expressed in hp) must a motor have to perform this task? hp Need Help? Read ItA 61.8-kg skateboarder starts out with a speed of 1.75 m/s. He does 80.4 J of work on himself by pushing with his feet against the ground. In addition, friction does -221 J of work on him. In both cases, the forces doing the work are non-conservative. The final speed of the skateboarder is 9.19 m/s. (a) Calculate the change (PEF - PEo) in the gravitational potential energy. (b) How much has the vertical height of the skater changed? Give the absolute value. (a) Number (b) Number i Units Units
- can someone answer these for me please? Thank you!In a time of T seconds, a motorcycle can accelerate from rest to the speed v. (a) Determine the amount of time (in terms of 7) required for it to accelerate from v to 6v if the power output remains constant. At = (b) Determine the speed of the motorcycle (in terms of v) 3T after starting. Vf=If the hand does 40 J of work on the 2.5 kg cart, how fast will it travel? If the person does 480 J of work on the 32kg box to move it at a speed of 4 m/s, how much energy is dissipated due friction? If the spring is compressed 12 cm and has a constant of 860 N/m, how high will the 1.3 kg chicken go?Use the values given in the problem. How much work does the weightlifter do?Use the values given in the problem. How much work does the cable do?
- 13-An elevator motor lifts a 2750-kg load to a height of 37m in 12.5s. Find the useful power output of the elevator motor, if it also increases the speed from rest to 3.95 m/s. Assume that the total mass of the counterbalanced system is 10,000 kg — so that only 2750 kg is raised in height, but the full 10,000 kg is accelerated. How much does it cost, in dollars per hour, if the electricity cost is $0.075 per kW⋅h?What average mechanical power (in W) must a 70.5 kg mountain climber generate to climb to the summit of a hill of height 305 m in 47.0 min? Note: Due to inefficiencies in converting ch energy to mechanical energy, the amount calculated here is only a fraction of the power that must be produced by the climber's body. HINT W Need Help? Read It Watch It
- Calculate the work done (in J) on a 1550 kg elevator car by its cable to lift it 37.5 m at a constant speed, assuming friction averages 115 N. What is the total work done (in J) on the lift?Calculate the work done (in J) by a 75.0 kg man who pushes a crate 4.30 m up along a ramp that makes an angle of 20.0° with the horizontal. (See the figure below.) He exerts a force of 540 N on the crate parallel to the ramp and moves at a constant speed. Be certain to include the work he does on the crate and on his body to get up the ramp.A 699-kg elevator starts from rest and moves upward for 2.60 s with constant acceleration until it reaches its cruising speed, 1.83 m/s. (a) What is the average power of the elevator motor during this period? hp (b) How does this amount of power compare with its power during an upward trip with constant speed? (Give the power during an upward trip with constant speed.) hp Need Help? Read It