Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 5, Problem 78P
In Fig. 5-64, a force
Figure 5-64 Problem 78.
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A man is pushing a box across an inclined plane with an angle of inclination of 60
degrees away from the horizontal. The box has a mass of 20kg and is moving at a
constant speed. The force applied by the person has a magnitude of 250N and
the surface of the inclined plane is not frictionless.
m> 20 kg
Go°
A block of mass m = 13 kg rests on an inclined plane with a coefficient of static friction of μs = 0.085 between the block and the plane. The inclined plane is L = 6.9 m long and it has a height of h = 3.15 m at its tallest point.
Part (a) What angle, θ in degrees, does the plane make with respect to the horizontal?
Part (b) What is the magnitude of the normal force, FN in newtons, that acts on the block?
Part (c) What is the component of the force of gravity along the plane, Fgx in newtons?
Part (d) Write an expression, in terms of θ, the mass m, the coefficient of static friction μs, and the gravitational constant g, for the magnitude of the force due to static friction, Fs, just before the block begins to slide.
Part (e) Will the block slide?
A crate of mass m = 91 kg rests on a rough surface inclined at an angle of θ = 31° with the horizontal. A massless rope to which a force can be applied parallel to the surface is attached to the crate and leads to the top of the incline. In its present state, there is no tension in the rope and the crate is just ready to slip and start to move down the plane. The coefficient of kinetic friction is given by μk=fμs where μs refers to the coefficient of static friction and f = 0.75
a) With a slightly greater applied force than what is found to be the maximum force the rope can exert parallel to the surface of the plane before the crate begins to move, the crate will slide up the plane. Write an equation for the acceleration of the crate when it begins to slide upwards. Give your equation in terms of variables from the problem statement together with g for acceleration due to gravity and μs for the coefficient of static friction.
b) After the crate begins to move, we reduce the force on…
Chapter 5 Solutions
Fundamentals of Physics Extended
Ch. 5 - Figure 5-19 gives the free-body diagram for four...Ch. 5 - Two horizontal forces, F1=(3N)i (4N)jandF2=(1N)i...Ch. 5 - In Fig. 5-21, forces F1 and F2 are applied to a...Ch. 5 - At time t = 0, constant F begins to act on a rock...Ch. 5 - Figure 5-22 shows overhead views of four...Ch. 5 - Figure 5-23 shows the same breadbox in four...Ch. 5 - July 17, 1981, Kansas City: The newly opened Hyatt...Ch. 5 - Figure 5-25 gives three graphs of velocity...Ch. 5 - Figure 5-26 shows a train of four blocks being...Ch. 5 - Figure 5-27 shows three blocks being pushed across...
Ch. 5 - A vertical force F is applied to a block of mass m...Ch. 5 - Figure 5-28 shows four choices for the direction...Ch. 5 - Only two horizontal forces act on a 3.0 kg body...Ch. 5 - Two horizontal forces act on a 2.0 kg chopping...Ch. 5 - If the 1 kg standard body has an acceleration of...Ch. 5 - While two forces act on it, a particle is to move...Ch. 5 - GO Three astronauts, propelled by jet backpacks,...Ch. 5 - In a two-dimensional tug-of-war, Alex, Betty, and...Ch. 5 - SSM There are two forces on the 2.00 kg box in the...Ch. 5 - A 2.00 kg object is subjected to three forces that...Ch. 5 - A 0.340 kg particle moves in an xy plane according...Ch. 5 - GO A 0.150 kg particle moves along an x axis...Ch. 5 - A 2.0 kg particle moves along an x axis, being...Ch. 5 - GO Two horizontal forces F1 and F2 act on a 4.0 kg...Ch. 5 - Figure 5-33 shows an arrangement in which four...Ch. 5 - A block with a weight of 3.0 N is at rest on a...Ch. 5 - SSM a An 11.0 kg salami is supported by a cord...Ch. 5 - Some insects can walk below a thin rod such as a...Ch. 5 - SSM WWW In Fig. 5-36, let the mass of the block be...Ch. 5 - In April 1974, John Massis of Belgium managed to...Ch. 5 - SSM A 500 kg rocket sled can be accelerated at a...Ch. 5 - A car traveling at 53 km/h hits a bridge abutment....Ch. 5 - A constant horizontal force Fa pushes a 2.00 kg...Ch. 5 - A customer sits in an amusement park ride in which...Ch. 5 - Tarzan, who weighs 820 N, swings from a cliff at...Ch. 5 - 24 There are two horizontal forces on the 2.0 kg...Ch. 5 - Sunjamming. A sun yacht is a spacecraft with a...Ch. 5 - The tension at which a fishing line snaps is...Ch. 5 - SSM An electron with a speed of 1.2 107 m/s moves...Ch. 5 - A car that weighs 1.30 104 N is initially moving...Ch. 5 - A firefighter who weighs 712 N slides down a...Ch. 5 - The high-speed winds around a tornado can drive...Ch. 5 - SSM WWW A block is projected up a frictionless...Ch. 5 - Figure 5-39 shows an overhead view of a 0.0250 kg...Ch. 5 - An elevator cab and its load have a combined mass...Ch. 5 - GO In Fig. 5-40, a crate of mass m = 100 kg is...Ch. 5 - The velocity of a 3.00 kg particle is given by...Ch. 5 - Holding on to a towrope moving parallel to a...Ch. 5 - A 40 kg girl and an 8.4 kg sled are on the...Ch. 5 - A 40 kg skier skis directly down a frictionless...Ch. 5 - ILW A sphere of mass 3.0 104 kg is suspended from...Ch. 5 - GO A dated box of dates, of mass 5.00 kg, is sent...Ch. 5 - Using a rope that will snap if the tension in it...Ch. 5 - GO In earlier days, horses pulled barges down...Ch. 5 - SSM In Fig. 5-43, a chain consisting of five...Ch. 5 - A lamp hangs vertically from a cord in a de...Ch. 5 - An elevator cab that weighs 27.8 kN moves upward....Ch. 5 - An elevator cab is pulled upward by a cable. The...Ch. 5 - GO The Zacchini family was renowned for their...Ch. 5 - GO In Fig. 5-44, elevator cabs A and B are...Ch. 5 - In Fig. 5-45, a block of mass m = 5.00 kg is...Ch. 5 - GO Fig. 5-46, three ballot boxes are connected by...Ch. 5 - GO Figure 5-47 shows two blocks connected by a...Ch. 5 - An 85 kg man lowers himself to the ground from a...Ch. 5 - In Fig. 5-48, three connected blocks are pulled to...Ch. 5 - GO Figure 5-49 shows four penguins that are being...Ch. 5 - SSM ILW WWW Two blocks are in contact on a...Ch. 5 - GO In Fig. 5-51a, a constant horizontal force Fa...Ch. 5 - ILW A block of mass m1 = 3.70 kg on a frictionless...Ch. 5 - Figure 5-53 shows a man sitting in a bosuns chair...Ch. 5 - SSM A 10 kg monkey climbs up a massless rope that...Ch. 5 - Figure 5-45 shows a 5.00 kg block being pulled...Ch. 5 - SSM ILW A hot-air balloon of mass M is descending...Ch. 5 - In shot putting, many athletes elect to launch the...Ch. 5 - GO Figure 5-55 gives, as a function of time t, the...Ch. 5 - GO Figure 5-56 shows a box of mass m2 = 1.0 kg on...Ch. 5 - GO Figure 5-47 shows Atwoods machine, in which two...Ch. 5 - GO Figure 5-57 shows a section of a cable-car...Ch. 5 - Figure 5-58 shows three blocks attached by cords...Ch. 5 - A shot putter launches a 7.260 kg shot by pushing...Ch. 5 - In Fig. 5-59, 4.0 kg block A and 6.0 kg block B...Ch. 5 - An 80 kg man drops to a concrete patio from a...Ch. 5 - SSM Figure 5-60 shows a box of dirty money mass m1...Ch. 5 - Three forces act on a particle that moves with...Ch. 5 - SSM In Fig. 5-61, a tin of antioxidants m1 = 1.0...Ch. 5 - The only two forces acting on a body have...Ch. 5 - Figure 5-62 is an overhead view of a 12 kg tire...Ch. 5 - A block of mass M is pulled along a horizontal...Ch. 5 - SSM A worker drags a crate across a factory floor...Ch. 5 - In Fig. 5-64, a force F of magnitude 12 N is...Ch. 5 - A certain particle has a weight of 22 N at a point...Ch. 5 - An 80 kg person is parachuting and experiencing a...Ch. 5 - A spaceship lifts off vertically from the Moon,...Ch. 5 - In the overhead view of Fig. 5-65, five forces...Ch. 5 - SSM A certain force gives an object of mass m1 an...Ch. 5 - Prob. 84PCh. 5 - A 52 kg circus performer is to slide down a rope...Ch. 5 - Compute the weight of a 75 kg space ranger a on...Ch. 5 - An object is hung from a spring balance attached...Ch. 5 - Imagine a landing craft approaching the surface of...Ch. 5 - A 1400 kg jet engine is fastened to the fuselage...Ch. 5 - An interstellar ship has a mass of 1.20 106 kg...Ch. 5 - SSM A motorcycle and 60.0 kg rider accelerate at...Ch. 5 - Prob. 92PCh. 5 - SSM Figure 5-66a shows a mobile hanging from a...Ch. 5 - For sport, a 12 kg armadillo runs onto a large...Ch. 5 - Suppose that in Fig. 5-12, the masses of the...Ch. 5 - A nucleus that captures a stray neutron must bring...Ch. 5 - If the 1 kg standard body is accelerated by only...
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