Exam 6: Applications of Newtons Laws

In a shuffleboard game,the puck slides a total of 12 m on a horizontal surface before coming to rest.If the coefficient of kinetic friction between the puck and board is 0.10,what was the initial speed of the puck?

In a carnival ride,passengers stand with their backs against the wall of a cylinder.The cylinder is set into rotation and the floor is lowered away from the passengers,but they remain stuck against the wall of the cylinder.For a cylinder with a 2.0-m radius,what is the minimum speed that the passengers can have so they do not fall if the coefficient of static friction between the passengers and the wall is 0.25?

A policeman investigating an accident measures the skid marks left by a car on the horizontal road.He determines that the distance between the point that the driver slammed on the brakes (thereby locking the wheels)and the point where the car came to a stop was 28.0 m.From a reference manual he determines that the coefficient of kinetic friction between the tires and the road under the prevailing conditions was 0.300.How fast was the car going when the driver applied the brakes?

A baseball player is running to second base at 5.03 m/s.When he is 4.80 m from the plate he goes into a slide.The coefficient of kinetic friction between the player and the ground is 0.180,and the coefficient of static friction is 3.14.What is his speed when he reaches the plate?

A jet plane flying 600 m/s experiences an acceleration of 4.0 g when pulling out of the circular section of a dive.What is the radius of curvature of this section of the dive?

A car traveling at a steady 20 m/s rounds an 80-m radius horizontal unbanked curve with the tires on the verge of slipping.What is the maximum speed with which this car can round a second unbanked curve of radius 320 m if the coefficient of static friction between the car's tires and the road surface is the same in both cases?

Two blocks,A and B,are being pulled to the right along a horizontal surface by a horizontal 100-N pull,as shown in the figure.Both of them are moving together at a constant velocity of 2.0 m/s to the right,and both weigh the same. Which of the figures below shows a correct free-body diagram of the horizontal forces acting on the lower block,B?

A 3.0-kg mass and a 5.0-kg mass hang vertically at the opposite ends of a very light rope that goes over an ideal pulley.If the masses are gently released,what is the resulting acceleration of the masses?

Three boxes rest side-by-side on a smooth,horizontal floor.Their masses are 5.0 kg,3.0 kg,and 2.0 kg,with the 3.0-kg mass in the center.A force of 50 N pushes on the 5.0-kg box,which pushes against the other two boxes.What magnitude force does the 5.0-kg box exert on the 3.0-kg box?

Two horizontal curves on a bobsled run are banked at the same angle,but one has twice the radius of the other.The safe speed (for which no friction is needed to stay on the run)for the smaller radius curve is v.What is the safe speed on the larger-radius curve?

A flatbed truck is carrying a 20-kg crate up a sloping road.The coefficient of static friction between the crate and the bed is 0.40,and the coefficient of kinetic friction is 0.30.What is the maximum angle of slope that the truck can climb at constant speed if the crate is to stay in place?

The figure shows a block of mass M hanging at rest.The light wire fastened to the wall is horizontal and has a tension of 38 N.The wire fastened to the ceiling is also very light,has a tension of And makes an angle θ with the ceiling.Find the angle θ.

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 hill exerts on the sled parallel to the surface of the hill?

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 0.40,at what rate does the box accelerate down the slope?

A jet plane flying 600 m/s experiences an acceleration of 4.0 g when pulling out of a circular dive.What is the radius of curvature of the circular part of the path in which the plane is flying?

A flatbed truck is carrying a 20.0-kg crate along a level road.The coefficient of static friction between the crate and the bed is 0.400,and the coefficient of kinetic friction is 0.300.What is the maximum acceleration that the truck can have if the crate is to stay in place relative to the truck?

A 50.0-kg block is being pulled up a 16.0° slope by a force of 250 N that is parallel to the slope.The coefficient of kinetic friction between the block and the slope is 0.200.What is the acceleration of the block?

A 10.0-kg picture is held in place by two wires,the first one hanging at 50.0° to the left of the vertical and the second one at 45.0° to the right of the vertical.What is the tension in the first wire?

As shown in the figure,a 10-kg block on a perfectly smooth horizontal table is connected by a horizontal string to a 63-kg block that is hanging over the edge of the table.What is the magnitude of the acceleration of the 10-kg block when the other block is gently released?

A 0.50-kg toy is attached to the end of a 1.0-m very light string.The toy is whirled in a horizontal circular path on a frictionless tabletop.If the maximum tension that the string can withstand without breaking is 350 N.What is the maximum speed the mass can have without breaking the string?