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With the coefficient of static friction between the floor of a truck and a box resting on given, if the truck has an initial velocity of Vi , what is the least distance in which the truck can stop if the box is never to slide?
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- In the figure, the coefficient of kinetic friction between the surface and the blocks is k. If M=1.0kg , find an expression for the magnitude of the acceleration of either block (in terms of F , k , and g ).In a television commercial, a small, spherical bead of mass 4.00 g is released from rest at t=0in a bottle of liquid shampoo. The terminal speed is observed to be 2.00 cm/s. Find (a) the value of the constant bin the equation v=mgb(1ebt/m), and (b) the value of the resistive force when the bead reaches terminal speed.If the order of the barges of the preceding exercise is reversed so that the tugboat pulls the 3.00103-kgbarge with a force of 20.0103N , what are the acceleration of the barges and the tension in the coupling cable?
- A helicopter with mass 2.35104kg has a position given by r(t)=(0.020t3)i +(2.2t)j -(0.060t2)k . Find the net force on the helicopter at t=3.0s .Show that the acceleration of any object down an incline where friction behaves simply (that Is, where fk=kN ) is a=(sinkcos) . Note that the acceleration Is independent of mass and reduces to the expression found in the previous problem when friction becomes negligibly small (k=0) .Two blocks connected by a string are pulled across a horizontal surface by a force applied to one of the blocks, as shown below. The coefficient of kinetic friction between the blocks and the surface is 0.25. If each block has an acceleration of 2.0m/s2to the right, what is the magnitude Fof the applied force?
- Calculate the maximum acceleration of a car that is heading down a 6.00slope (one that makes an angle of 6.00with the horizontal) under the following road conditions. You may assume that the weight of the car is evenly distributed on all four tires and that the coefficient of static friction is involved—hat Is, the tires are not allowed to slip during the deceleration. (Ignore rolling.) Calculate for a car (a) On dry concrete. (b) On wet concrete. (c) On ice, assuming that s=0.100 , the same as for shoes on ice.By what factor does the drag force on a car increase as it goes from 65 to 110 km/h?Suppose the coefficient of static friction between a quarterand the back wall of a rocket car is 0.330. At what minimumrate would the car have to accelerate so that a quarter placedon the back wall would remain in place?
- A child wants to pull a wagon with a mass of 5.0 kg up a hill, the slope of which forms an angle of 8° with respect to the horizontal. If the child is on the slope, with the trolley stationary, what is the coefficient of static friction?The wheels of an automobile are locked as it slides to a stop from an initial speed of 30.0 m/s. If the coefficient of kinetic friction is 0.200 and the road is horizontal, approximately how long does it take the car to stop?A uniform push of 150 N, applied at an angle of 30 deg to a 20 kg block which rests on a horizontal surface, gives the block a velocity of 6.5 m/s in 4 s. Find the coefficient of kinetic friction.
