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Course Number: PHYS 1441, Fall 2010

College/University: UT Arlington

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shin (ns22684) Homework 5 Spurlock (41003) This print-out should have 39 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points A plane designed for vertical takeoff has a mass of 8.0 103 kg. Find the net work done on the plane as it accelerates upward at 1.6 m/s2 through a distance of 33.5 m after starting from rest. Answer in units of...

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(ns22684) shin Homework 5 Spurlock (41003) This print-out should have 39 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points A plane designed for vertical takeoff has a mass of 8.0 103 kg. Find the net work done on the plane as it accelerates upward at 1.6 m/s2 through a distance of 33.5 m after starting from rest. Answer in units of J. 002 (part 1 of 2) 10.0 points A force F = Fx ^ + Fy ^ acts on a particle that i undergoes a displacement of s = sx ^ + sy ^ i where Fx = 1 N, Fy = -2 N, sx = 5 m, and sy = 1 m. Find the work done by the force on the particle. Answer in units of J. 003 (part 2 of 2) 10.0 points Find the angle between F and s. Answer in units of . 004 10.0 points A crate is pulled by a force (parallel to the incline) up a rough incline. The crate has an initial speed shown in the figure below. The crate is pulled a distance of 9.47 m on the incline by a 150 N force. The acceleration of gravity is 9.8 m/s2 . m/ s N . 24 1 150 13 k g .289 21 1 horizontal component of 6.9 m/s. The projectile rises to a maximum height of y above the end of the cannon's barrel and strikes the ground a horizontal distance x past the end of the cannon's barrel. vi y 51 6.7 m x Find the magnitude of the velocity vector when the projectile hits the ground. The acceleration of gravity is 9.8 m/s2 . Answer in units of m/s. 006 10.0 points A 12 g bullet is accelerated in a rifle barrel 90.6 cm long to a speed of 1060 m/s. Use the work-energy theorem to find the average force exerted on the bullet while it is being accelerated. Answer in units of N. 007 10.0 points A 1.4 10 kg elevator carries a maximum load of 784.6 kg. A constant frictional force of 3.3 103 N retards the elevator's motion upward. The acceleration of gravity is 9.81 m/s2 . What minimum power must the motor deliver to lift the fully loaded elevator at a constant speed 2.71 m/s? Answer in units of kW. 3 0 = What is the change in kinetic energy of the crate? Answer in units of J. 005 10.0 points A projectile of mass 0.268 kg is shot from a cannon, at height 6.7 m, as shown in the figure, with an initial velocity vi having a 008 10.0 points When an automobile moves with constant velocity, the power developed is used to overcome the frictional forces exerted by the air and the road. If the engine develops 10 hp, what total frictional force acts on the car at 160 mph? One horsepower equals 746 W, and one mile is 1609 m. Answer in units of N. shin (ns22684) Homework 5 Spurlock (41003) 009 10.0 points A 1300 kg pile driver is used to drive a steel I-beam into the ground. The pile driver falls 3.18 m before contacting the beam, and it drives the beam 18.7 cm into the ground before coming to rest. Find the magnitude of the average force the beam exerts on the pile driver while the pile driver is brought to rest. The acceleration of gravity is 9.8 m/s2 . Answer in units of N. 010 (part 1 of 2) 10.0 points The force required to stretch a Hooke's-law spring varies from 0 N to 59.8 N as we stretch the spring by moving one end 11.3 cm from its unstressed position. Find the force constant of the spring. Answer in units of N/m. 011 (part 2 of 2) 10.0 points Find the work done in stretching the spring. Answer in units of J. 012 0.0 points This question is typical on some driver's license exams: A car moving at 47 km/h skids 17 m with locked brakes. How far will the car skid with locked brakes at 117.5 km/h? Answer in units of m. 013 0.0 points A cart loaded with bricks has a total mass of 8.3 kg and is pulled at constant speed by a rope. The rope is inclined at 21.5 above the horizontal and the cart moves 9.7 m on a horizontal floor. The coefficient of kinetic friction between ground and cart is 0.5 . The acceleration of gravity is 9.8 m/s2 . How much work is done on the cart by the rope? Answer in units of kJ. 014 (part 1 of 2) 0.0 points A team of dogs drags a 98.5 kg sled 2.63 km over a horizontal surface at a constant speed. The coefficient of friction between the sled and the snow is 0.194. The acceleration of gravity is 9.8 m/s2 . Find the work done by the dogs. Answer in units of kJ. 015 (part 2 of 2) 0.0 points Find the energy lost due to friction. Answer in units of kJ. 2 016 0.0 points A force F = Fx^ + Fy^ acts on an object with i Fx = 4 N and Fy = 4 N. The angle between F and the displacement vector s is 33 , and 123 J of work is done by F . Find the magnitude of s. Answer in units of m. 017 (part 1 of 2) 0.0 points A horizontal force of 145 N is used to push a 40.0 kg packing crate a distance of 7.00 m on a rough horizontal surface. The acceleration of gravity 9.81 is m/s2 . If the crate moves with constant velocity, calculate a) the work done by the force. Answer in units of J. 018 (part 2 of 2) 0.0 points b) the coefficient of kinetic friction. 019 0.0 points Melvin pulls a sled across level snow with a force of 378 N along a rope that is 50 above the horizontal. If the sled moved a distance of 53.2 m, how much work did Melvin do? Answer in units of J. 020 0.0 points A 3794 N piano is to be pushed up a(n) 2.09 m frictionless plank that makes an angle of 30.8 with the horizontal. Calculate the work done in sliding the piano up the plank at a slow constant rate. Answer in units of J. 021 (part 1 of 4) 0.0 points A particle moving in the xy plane undergoes shin (ns22684) Homework 5 Spurlock (41003) a displacement s = (sx ^ + sy ^), with sx = i 1.26 m, sy = 4.98 m, while a constant force F = (Fx ^ + Fy ^), with Fx = 6.53 N, Fy = i 1.67 N, acts on the particle. Calculate the magnitude of the displacement. Answer in units of m. 022 (part 2 of 4) 0.0 points Find the magnitude of the force. Answer in units of N. 023 (part 3 of 4) 0.0 points Calculate the work done by F . Answer in units of J. 024 (part 4 of 4) 0.0 points Calculate the angle between F and s. Answer in units of . 025 (part 1 of 2) 0.0 points A person lifts a 4.0 kg cement block a vertical distance of 1.5 m and then carries the block horizontally a distance of 8.6 m. The acceleration of gravity is 9.81 m/s2 . a) Determine the work done by the person in the process. Answer in units of J. 026 (part 2 of 2) 0.0 points b) Determine the work done by the force of gravity in the process. Answer in units of J. 027 0.0 points A spring with a force constant of 5.0 N/m has a relaxed length of 2.64 m. When a mass is attached to the end of the spring and allowed to come to rest, the vertical length of the spring is 3.65 m. Calculate the elastic potential energy stored in the spring. Answer in units of J. 028 0.0 points A 58.2 kg diver steps off a diving board and drops straight down into the water. The water provides an average net force of resistance of 3 1596 N to the diver's fall. The acceleration of gravity is 9.81 m/s2 . If the diver comes to rest 6 m below the water's surface, what is the total distance between the diving board and the diver's stopping point underwater? Answer in units of m. 029 0.0 points It takes 4.99 J of work to stretch a Hooke's-law spring 6 cm from its unstressed length. How much the extra work is required to stretch it an additional 8.41 cm? Answer in units of J. 030 0.0 points A 4.47 kg block initially at rest is pulled to the right along a horizontal surface by a constant, horizontal force of 15.4 N. The coefficient of kinetic friction is 0.133. The acceleration of gravity is 9.8 m/s2 . Find the speed of the block after it has moved 3.39 m. Answer in units of m/s. 031 0.0 points A 2.5 10 kg car accelerates from rest under the action of two forces. One is a forward force of 1148 N provided by traction between the wheels and the road. The other is a 946 N resistive force due to various frictional forces. How far must the car travel for its speed to reach 2.2 m/s? Answer in units of m. 3 032 0.0 points A 5.8 kg bowling ball is lifted 1.9 m into a storage rack. The acceleration of gravity is 9.8 m/s2 . Calculate the increase in the ball's potential energy. Answer in units of J. 033 0.0 points A student weighing 712 N climbs at constant speed to the top of an 6 m vertical rope in 10 s. What is the average power expended by the student to overcome gravity? shin (ns22684) Homework 5 Spurlock (41003) Answer in units of W. 034 (part 1 of 2) 0.0 points Assume your mass is 92 kg. The acceleration due to gravity is 9.8 m/s2 . How much work against gravity do you do when you climb a flight of stairs 3.1 m high? Answer in units of J. 035 (part 2 of 2) 0.0 points Consider the energy consumed by a 60 W light bulb in an hour. How many flights of stairs would you have to climb to equal the work of the lightbulb? 036 (part 1 of 2) 0.0 points A force of 474 N is used to push a 167 kg mass 78 m horizontally in 1.1 s. Calculate the work done on the mass. Answer in units of J. 037 (part 2 of 2) 0.0 points Calculate the power. Answer in units of kW. 038 (part 1 of 2) 0.0 points One of the most powerful cranes in the world, operating in Switzerland, can slowly raise a load of 6000 tonne to a height of 9 m. (1 tonne = 1000 kg) The acceleration of gravity is 9.81 m/s2 . How much work is done by the crane? Answer in units of MJ. 039 (part 2 of 2) 0.0 points If it takes 2.2 min to lift the load at constant velocity to this height, find the power developed by the crane. Answer in units of MW. 4

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