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Exam 6: Applications of Newtons Laws

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Question 1

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A 50-kg box is being pushed along a horizontal surface.The coefficient of static friction between the box and the ground is 0.65,and the coefficient of kinetic friction is 0.35.What horizontal force must be exerted on the box for it to accelerate at 1.2 m/s²?

A) 60 N
B) 120 N
C) 170 N
D) 230 N
E) 490 N

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Question 2

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A 3.0-kg and a 5.0-kg box rest side-by-side on a smooth,level floor.A horizontal force of 32 N is applied to the 5.0-kg box pushing it against the 3.0-kg box,and,as a result,both boxes slide along the floor.How hard do the two boxes push against each other?

A) 12 N
B) 20 N
C) 24 N
D) 32 N
E) 0 N

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Question 3

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The curved section of a horizontal highway is a circular unbanked arc of radius 740 m.If the coefficient of static friction between this roadway and typical tires is 0.40,what would be the maximum safe driving speed for this horizontal curved section of highway?

A 200-N sled of slides down a frictionless hillside that rises at 37° above the horizontal.What is the magnitude of the force that the surface of the hill exerts on the sled?

An object moves in a circular path at a constant speed.Compare the direction of the object's velocity and acceleration vectors.

A race car traveling at a constant speed of 50 m/s drives around a circular track that is 500 m in diameter.What is the magnitude of the acceleration of the car?

Two boxes,A and B,are connected by a horizontal string S on a horizontal floor.A very light wire pulls horizontally on box B,as shown in the figure,with a force of 100 N.The reaction force to this pull is

In the figure,a 10-lb weight is suspended from two spring scales,each of which has negligible weight.Which one of the following statements about the readings in the scales is true?

If you swing a bucket of water fast enough in a vertical circle,at the highest point the water does not spill out.This happens because an outward force balances the pull of gravity on the water.

The figure shows a 100-kg block being released from rest from a height of 1.0 m.It then takes 0.53 s for it to reach the floor.What is the mass m of the block on the left? There is no friction or mass in the pulley,and the connecting rope is very light.

A 50-kg box is resting on a horizontal floor.A force of 250 N directed at an angle of 30.0° below the horizontal is applied to the box.The coefficient of static friction between the box and the surface is 0.40,and the coefficient of kinetic friction is 0.30.What is the force of friction on the box?

A 1000-kg car is slowly picking up speed as it goes around a horizontal unbanked curve whose radius is 100 m.The coefficient of static friction between the tires and the road is 0.35.At what speed will the car begin to skid sideways?

The figure shows a block of mass m resting on a 20° slope.The block has coefficients of friction And With the surface of the slope.It is connected using a very light string over an ideal pulley to a hanging block of mass 2.0 kg.The string above the slope pulls parallel to the surface.What is the minimum mass m so the system will remain at rest when it is released from rest?

A push of magnitude P acts on a box of weight W as shown in the figure.The push is directed at an angle θ below the horizontal,and the box remains a rest.The box rests on a horizontal surface that has some friction with the box.The normal force on the box due to the floor is equal to

When a car goes around a banked circular curve at the proper speed speed for the banking angle,what force cause it to follow the circular path?

A force of Stretches a very light ideal spring From equilibrium.What is the force constant (spring constant) of the spring?

An object is being acted upon by three forces and as a result moves with a constant velocity.One force is 60.0 N along the +x-axis,and the second is 75.0 N along the +y-axis.What is the magnitude of the third force?

Two forces act on a Object.One force has magnitude 65 N directed 59° clockwise from the positive x-axis,and the other has a magnitude 35 N at 32° clockwise from the positive y-axis.What is the magnitude of this object's acceleration?

Pulling out of a dive,the pilot of an airplane guides his plane into a vertical circle with a radius of 600 m.At the bottom of the dive,the speed of the airplane is 150 m/s.What is the apparent weight of the 70-kg pilot at that point?

The curved section of a speedway is a circular arc having a radius of 190 m.This curve is properly banked for racecars moving at 34 m/s.At what angle with the horizontal is the curved part of the speedway banked?