Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 5, Problem 45P
To determine
To Find: The magnitude of the acceleration of the masses and the tension in the cord.
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A block is placed on a wooden plank, which is initially horizontal. One end of the plank is slowly raised to make it more and more inclined, and for a while the block stays in place on the plank and doesn't slide due to static friction. Finally, when the plank reaches an incline of 56.3oabove horizontal, the block begins to slide. What is the coefficient of static friction between the block and the plank?
Skid marks left by the driver are 56.0 m long and the roadway is level. Tires matching those on the car of the driver have been dragged over the same roadway to determine that the coefficient of kinetic friction between the tires and the roadway is 0.82 at all points along the skid mark. The speed limit on the road is 35 mi/h
A flat (unbanked) curve on a highway has a radius of 170.0 m. A car rounds the curve at a speed of 25.0 m>s. (a) What is the minimum coefficient of static friction that will prevent sliding? (b) Suppose that the highway is icy and the coefficient of static friction between the tires and pavement is only one-third of what you found in part (a). What should be the maximum speed of the car so that it can round the curve safely?
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Physics for Scientists and Engineers
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- 15-102. The 800-lb roller-coaster car starts from rest on the track having the shape of a cylindrical helix. If the normal force of the tracks on the car has a transverse component of No = 68 lb, determine the transverse component of its Ne velocity in t = 4s. Also, what is the car's velocity when it descends 8 ft? Neglect the size of the car. r=8 ft Probs. 15-101/102 8 ftarrow_forwardAfter seeing a giant rock rolls into the highway, the driver slams on the brake and steers the truck onto an emergency escape ramp. The angle between the ramp and the horizontal is 0 = 15.0', and the magnitude of the velocity i of the truck is 30.0 m/s right after entering the ramp. If the coefficient of kinetic friction µk (for the ramp) is 0.720, then how far along the ramp does the truck travel until it stops? *Use work-energy theorem to answer this question and assumed that the wheels of the truck are locked (not rolling). *Include a free body diagram to solve this problem.arrow_forwardFour people are attempting to move a stage platform across the floor. If they exert the horizontal forces shown, determine (a) the equivalent force-couple system at O and (b) the points on the x- and y-axes through which the line of action of the single resultant force R passes. Assume F1-69 lb, F2-60 lb, F3-32 lb. F4-61 lb,a-75 in, b-60 in, and = 47° F₁ F₁- Answers: (a) The force-couple system at O R= b Mo- (i i (b) The line of action of the single resultant R: On the x-xx- On the y-axis y i klb-in in. in.arrow_forward
- You are driving a car at a constant speed of 14.0 m/s along a straight level road. As you approach anintersection, the stoplight turns red and you slam on breaks and the wheels lock and you skid to a stop in25.0 m. What is the coefficient of kinetic friction between your tires and the road?arrow_forwardThe figure shows an overhead view of a 0.026 kg lemon half and two of the three horizontal forces that act on it as it is on a frictionless table. Force F has a magnitude of 3N and is at 8, -31. Force F2 has a magnitude of 10 N and is at 02 = 33". In unit-vector notation, what is the third force if the lemon half (a) is stationary, (b) has the constant velocity V= (131- 14) m/s, and (c) has the V = (12i – 14i) m/s², where t is time? %3D %3D jUnits (a) Number i i+ jUnits (b) Number (c) Number i+ jUnitsarrow_forwardA block of mass m = 10.5 kg rests on an inclined plane with a coefficient of static friction of us = 0.055 between the block and the plane. The inclined plane is L = 6.8 m long and it has a height of h = 3.8 m at its tallest point. ) What angle, in degrees, does the plane make with respect to the horizontal? b) What is the magnitude of the normal force, Fy in newtons, that acts on the block? 0 m L →X c) What is the component of the force of gravity along the plane, Fex in newtons? gx d) Write an expression, in terms of 0, the mass m, the coefficient of static friction us, and the gravitational constant g, for the magnitude of the force due to static friction, F, just before the block begins to slide. (e) Will the block slide?arrow_forward
- Two packing crates of masses m, = 10.0 kg and m, = 7.10 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 7.10-kg crate lies on a smooth incline of angle 41.0°. Find the following. (a) the acceleration of the 7.10-kg crate m/s? (up the incline) (b) the tension in the string Narrow_forwardA block of mass m1 = 3.9 kg is placed on top of a block with mass m2 = 5.4 kg. A force, F = is applied to m2, at an angle 16.1 degrees above the horizontal. If the coefficient of static friction between all moving surfaces is 0.42 and the coefficient of kinetic friction is 0.32, determine the magnitude of the minimum force that will get the blocks moving.arrow_forwardThe snowboarder of glides down a slope that is inclined at θ =45° to the horizontal. The coefficient of kinetic friction between the board and the snow is μk = 0.28. What is the acceleration of the snowboarder?arrow_forward
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