Exam 6: Dynamics I: Motion Along a Line

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A box of mass 50 kg is at rest on a horizontal frictionless surface.A constant horizontal force F then acts on the box and accelerates it to the right.It is observed that it takes the box 6.9 seconds to travel 28 meters.What is the magnitude of the force?

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In the figure,a T-bar ski tow pulls a skier up a hill inclined at 10° above horizontal.The skier starts from rest and is pulled by a cable that exerts a tension T at an angle of 30° above the surface of the hill.The mass of the skier is 60 kg and the effective coefficient of kinetic friction between the skis and the snow is 0.100.What is the maximum tension in the cable if the starting acceleration is not to exceed 0.400 g? In the figure,a T-bar ski tow pulls a skier up a hill inclined at 10° above horizontal.The skier starts from rest and is pulled by a cable that exerts a tension T at an angle of 30° above the surface of the hill.The mass of the skier is 60 kg and the effective coefficient of kinetic friction between the skis and the snow is 0.100.What is the maximum tension in the cable if the starting acceleration is not to exceed 0.400 g?

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A packing crate rests on a horizontal surface.It is acted on by three horizontal forces: 600 N to the left,200 N to the right,and friction.The weight of the crate is 400 N.If the 600-N force is removed,the resultant force acting on the crate is

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A 1000-kg car is driving toward the north along a straight horizontal road at a speed of 20.0 m/s.The driver applies the brakes and the car comes to a rest uniformly in a distance of 200 m.What are the magnitude and direction of the net force applied to the car to bring it to rest?

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An 80.0-kg object is falling and experiences a drag force due to air resistance.The magnitude of this drag force depends on its speed,v,and obeys the equation An 80.0-kg object is falling and experiences a drag force due to air resistance.The magnitude of this drag force depends on its speed,v,and obeys the equation   What is the terminal speed of this object? What is the terminal speed of this object?

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Jason takes off from rest across level water on his jet-powered skis.The combined mass of Jason and his skis is 75 kg (the mass of the fuel is negligible).The skis have a thrust of 200 N and a coefficient of kinetic friction on water of 0.10.Unfortunately,the skis run out of fuel after only 48 s.What is Jason's top speed?

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A 60.0-kg person rides in elevator while standing on a scale.The elevator is traveling downward but slowing down at a rate of 2.00 m/s2.The reading on the scale is closest to

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A block is on a frictionless horizontal table,on earth.This block accelerates at 3.6 m/ A block is on a frictionless horizontal table,on earth.This block accelerates at 3.6 m/   when a   horizontal force is applied to it.The block and table are then set up on the moon where the acceleration due to gravity is 1.62 m/   .A horizontal force of 45 N is applied to the block when it is on the moon.What acceleration does this force impart to the block? when a A block is on a frictionless horizontal table,on earth.This block accelerates at 3.6 m/   when a   horizontal force is applied to it.The block and table are then set up on the moon where the acceleration due to gravity is 1.62 m/   .A horizontal force of 45 N is applied to the block when it is on the moon.What acceleration does this force impart to the block? horizontal force is applied to it.The block and table are then set up on the moon where the acceleration due to gravity is 1.62 m/ A block is on a frictionless horizontal table,on earth.This block accelerates at 3.6 m/   when a   horizontal force is applied to it.The block and table are then set up on the moon where the acceleration due to gravity is 1.62 m/   .A horizontal force of 45 N is applied to the block when it is on the moon.What acceleration does this force impart to the block? .A horizontal force of 45 N is applied to the block when it is on the moon.What acceleration does this force impart to the block?

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A 4.00-kg block rests on a 30.0° incline as shown in the figure.If the coefficient of static friction between the block and the incline is 0.700,what magnitude horizontal force F must act on the block to start it moving up the incline? A 4.00-kg block rests on a 30.0° incline as shown in the figure.If the coefficient of static friction between the block and the incline is 0.700,what magnitude horizontal force F must act on the block to start it moving up the incline?

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A box of mass m is pulled with a constant acceleration a along a horizontal frictionless floor by a wire that makes an angle of 15° above the horizontal.If T is the tension in this wire,then

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In the figure,a block of mass M hangs at rest.The rope that is fastened to the wall is horizontal and has a tension off 52 N.The rope that is fastened to the ceiling has a tension of In the figure,a block of mass M hangs at rest.The rope that is fastened to the wall is horizontal and has a tension off 52 N.The rope that is fastened to the ceiling has a tension of   and makes an angle θ with the ceiling.What is the angle θ?  and makes an angle θ with the ceiling.What is the angle θ? In the figure,a block of mass M hangs at rest.The rope that is fastened to the wall is horizontal and has a tension off 52 N.The rope that is fastened to the ceiling has a tension of   and makes an angle θ with the ceiling.What is the angle θ?

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A 6.0 kg box slides down an inclined plane that makes an angle of 39° with the horizontal.If the coefficient of kinetic friction is 0.19,at what rate does the box accelerate down the slope?

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Two objects,each of weight W,hang vertically by spring scales as shown in the figure.The pulleys and the strings attached to the objects have negligible weight,and there is no appreciable friction in the pulleys.The reading in each scale is Two objects,each of weight W,hang vertically by spring scales as shown in the figure.The pulleys and the strings attached to the objects have negligible weight,and there is no appreciable friction in the pulleys.The reading in each scale is

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The magnitude of the drag force of air resistance on a certain 20.0-kg object is proportional to its speed.If the object has a terminal speed 80.0 m/s,what is the magnitude of the drag force on the object when it is falling with a speed 30.0 m/s?

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A 50.0-kg box rests on a horizontal surface.The coefficient of static friction between the box and the surface is 0.300 and the coefficient of kinetic friction is 0.200.What is the friction force on the box if (a)a horizontal 140-N push is applied to it? (b)a horizontal 175-N push is applied to it?

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A 250-kg crate is on a rough ramp,inclined at 30° above the horizontal.The coefficient of kinetic friction between the crate and ramp is 0.22.A horizontal force of 5000 N is applied to the crate,pushing it up the ramp.What is the acceleration of the crate?

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An object weighing 4.00 N falls from rest subject to a frictional drag force given by Fdrag = bv2,where v is the speed of the object and An object weighing 4.00 N falls from rest subject to a frictional drag force given by F<sub>drag</sub> = bv<sup>2</sup>,where v is the speed of the object and   What terminal speed will this object approach? What terminal speed will this object approach?

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A 60.0-kg person rides in an elevator while standing on a scale.The scale reads 400 N.The acceleration of the elevator is closest to

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A box is sliding down an incline tilted at a 12.0° angle above horizontal.The box is initially sliding down the incline at a speed of 1.50 m/s.The coefficient of kinetic friction between the box and the incline is 0.340.How far does the box slide down the incline before coming to rest?

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A traffic light weighing 100 N is supported by two ropes as shown in the figure.The tensions in the ropes are closest to A traffic light weighing 100 N is supported by two ropes as shown in the figure.The tensions in the ropes are closest to

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