EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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*13–112. The pilot of an airplane executes a vertical loop
which in part follows the path of a “four-leaved rose,"
r = (-600cos 20) ft, where 0 is in radians. If his speed is a
constant vp = 80 ft/s, determine the vertical reaction the
seat of the plane exerts on the pilot when the plane is at A.
He weights 130 lb. Hint: To determine the time derivatives
necessary to compute the acceleration components a,
and a, take the first and second time derivatives of
r = 400(1 + cos0). Then, for further information, use
Eq. 12–26 to determine ô. Also, take the time derivative of
Eq. 12–26, noting that vp = 0 to determine ở.
80 ft/s
r=-600 cos 20
A kid whirls a rock of mass 0.5 kg in a vertical circle of radius 0.80 m. (a) What is the minimum speed of the rock at the top of the circle such that the rope does not go slack? (b) What is the speed of the rock at the bottom of the circle if the tension in the rope is 17.0 N?
(4). a) How fast should a 1,150 kg car
move to make a
circular turn of radius 48m on a flat
concrete road, if
the coefficient of friction between
the tires and the
road is 0.56? Purpose is to avoid
skidding.
(b) How fast should a 1,150 kg car
move to make a
circular turn of radius 56 m on a
banked road
elevated 9° with respect to the
horizontal.
Chapter 5 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 5.1 - If s = 0.40 and mg = 20 N, what minimum force F...Ch. 5.1 - Prob. 1BECh. 5.2 - Prob. 1CECh. 5.2 - If the radius is doubled to 1.20m but the period...Ch. 5.3 - Prob. 1EECh. 5.3 - A rider on a Ferris wheel moves in a vertical...Ch. 5.4 - Prob. 1GECh. 5.4 - Can a heavy truck and a small car travel safely at...Ch. 5.5 - When the speed of the race car in Example 516 is...Ch. 5 - A heavy crate rests on the bed of a flatbed truck....
Ch. 5 - A block is given a push so that it slides up a...Ch. 5 - Cross-country skiers prefer their skis to have a...Ch. 5 - Prob. 4QCh. 5 - It is not easy to walk on an icy sidewalk without...Ch. 5 - Why is the stopping distance of a truck much...Ch. 5 - A car rounds a curve at a steady 50 km/h. If it...Ch. 5 - Will the acceleration of a car be the same when a...Ch. 5 - Describe all the forces acting on a child riding a...Ch. 5 - A child on a sled comes flying over the crest of a...Ch. 5 - Sometimes it is said that water is removed from...Ch. 5 - Technical reports often specify only the rpm for...Ch. 5 - A girl is whirling a ball on a string around her...Ch. 5 - The game of tetherball is played with a ball tied...Ch. 5 - Astronauts who spend long periods in outer space...Ch. 5 - A bucket of water can be whirled in a vertical...Ch. 5 - A car maintains a constant speed v as it traverses...Ch. 5 - Why do bicycle riders lean in when rounding a...Ch. 5 - Why do airplanes bank when they turn? How would...Ch. 5 - For a drag force of the form F = bv, what are the...Ch. 5 - Suppose two forces act on an object, one force...Ch. 5 - Prob. 2MCQCh. 5 - Prob. 3MCQCh. 5 - Prob. 4MCQCh. 5 - Prob. 5MCQCh. 5 - Prob. 6MCQCh. 5 - Prob. 7MCQCh. 5 - Prob. 8MCQCh. 5 - Prob. 9MCQCh. 5 - Prob. 12MCQCh. 5 - Prob. 13MCQCh. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - (I) Suppose you are standing on a train...Ch. 5 - (I) The coefficient of static friction between...Ch. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - (II) A car can decelerate at 3.80 m/s2 without...Ch. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - (II) A box is given a push so that it slides...Ch. 5 - (II) A skier moves down a 27 slope at constant...Ch. 5 - (II) A wet bar of soap slides freely down a ramp...Ch. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Prob. 15PCh. 5 - (II) Police investigators, examining the scene of...Ch. 5 - (II) Piles of snow on slippery roofs can become...Ch. 5 - Prob. 18PCh. 5 - (II) Two crates, of mass 65 kg and 125 kg, are in...Ch. 5 - Prob. 20PCh. 5 - (II) A crate is given an initial speed of 3.0 m/s...Ch. 5 - (II) A flatbed truck is carrying a heavy crate....Ch. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - (II) A package of mass m is dropped vertically...Ch. 5 - (II) Two masses mA = 2.0 kg and mB = 5.0 kg are on...Ch. 5 - Prob. 27PCh. 5 - (II) (a) Suppose the coefficient of kinetic...Ch. 5 - Prob. 29PCh. 5 - (II) For two blocks, connected by a cord and...Ch. 5 - Prob. 31PCh. 5 - (III) A 3.0-kg block sits on top of a 5.0-kg block...Ch. 5 - (III) A 4.0-kg block is stacked on top of a...Ch. 5 - (III) A small block of mass m rests on the rough...Ch. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - (I) A jet plane traveling 1890 km/h (525 m/s)...Ch. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - (II) How fast (in rpm) must a centrifuge rotate if...Ch. 5 - Prob. 43PCh. 5 - (II) Redo Example 511, precisely this time, by not...Ch. 5 - (II) Highway curves are marked with a suggested...Ch. 5 - Prob. 46PCh. 5 - (II) At what minimum speed must a roller coaster...Ch. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - (II) Two blocks with masses mA and mB, are...Ch. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - (II) A pilot performs an evasive maneuver by...Ch. 5 - (III) The position of a particle moving in the xy...Ch. 5 - (III) If a curve with a radius of 85 m is properly...Ch. 5 - Prob. 65PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - (III) An object of mass m is constrained to move...Ch. 5 - (I) Use dimensional analysis (Section 17) in...Ch. 5 - (II) The terminal velocity of a 3 105 kg raindrop...Ch. 5 - (III) Determine a formula for the position and...Ch. 5 - (III) The drag force on large objects such as...Ch. 5 - (II) An object moving vertically has v=v0at t = 0....Ch. 5 - Prob. 77PCh. 5 - Prob. 78PCh. 5 - (III) A motorboat traveling at a speed of 2.4 m/s...Ch. 5 - A coffee cup on the horizontal dashboard of a car...Ch. 5 - Prob. 81GPCh. 5 - Prob. 82GPCh. 5 - Prob. 83GPCh. 5 - A flat puck (mass M) is revolved in a circle on a...Ch. 5 - In a Rotor-ride at a carnival, people rotate in a...Ch. 5 - Prob. 86GPCh. 5 - Prob. 87GPCh. 5 - The 70.0-kg climber in Fig. 550 is supported in...Ch. 5 - A small mass m is set on the surface of a sphere,...Ch. 5 - Prob. 90GPCh. 5 - Prob. 91GPCh. 5 - Prob. 92GPCh. 5 - Prob. 93GPCh. 5 - Prob. 94GPCh. 5 - Prob. 95GPCh. 5 - A car is heading down a slippery road at a speed...Ch. 5 - Prob. 97GPCh. 5 - A banked curve of radius R in a new highway...Ch. 5 - Earth is not quite an inertial frame. We often...Ch. 5 - Prob. 100GPCh. 5 - Prob. 101GPCh. 5 - A car starts rolling down a 1-in-4 hill (1-in-4...Ch. 5 - The sides of a cone make an angle with the...Ch. 5 - Prob. 104GPCh. 5 - A ball of mass m = 1.0 kg at the end of a thin...Ch. 5 - Prob. 106GP
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- A stone of mass 100 g attached to a string of length 50 cm is whirled in a vertical circle by giving velocity at lowest point as 7 m/s. Find the velocity at the highest point. JAsseleration due to gravity = 9.8 m/s']arrow_forwardA roller-coaster car has a mass of 1050 kg when fully loaded with passengers. As the car passes over the top of a circular hill of radius 18 m, its speed is not changing. (a) At the top of the hill, what is the normal force (using the negative sign for the downward direction) EN on the car from the track if the car's speed is v = 8.4 m/s? (b) What is FN if v = 17 m/s? Use g=9.81 m/s?. (a) Number i Units (b) Number i Unitsarrow_forwardA ball is attached to one end of a string with a length of 18 cm, while the other end is anchored at a fixed point O. The ball rotates in a horizontal circle as depicted. The string's maximum tension capacity is 3.70 times the ball's weight before it risks breaking. Determine the highest speed in meters per second at which the ball can rotate without causing the string to snap. [Assume there is no air resistance, and the acceleration due to gravity is 9.80 m/s²].arrow_forward
- A horizontal force of 310 N , is exerted on a 2.5 kg ball as it rotates ( at arm's length ) uniformly in a horizontal circle of radius 0.90 m , calculate the speed (v) of the ballarrow_forward(II) What is the maximum speed with which a 1200-kg car can round a turn of radius 90.0 m on a flat road if the coefficient of friction between tires and road is 0.65? Is this result independent of the mass of the car?arrow_forward(III) A curve of radius 78 m is banked for a design speed of 85 km/h If the coefficient of static friction is 0.30 (wet pavement), at what range of speeds can a car safely make the curve? [Hint: Consider the direction of the friction force when the car goes too slow or too fast.]arrow_forward
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- A roller-coaster car has a mass of 1220 kg when fully loaded with passengers. As the car passes over the top of a circular hill of radius 18.1 m, its speed is not changing. (a) At the top of the hill, what is the normal force (using the negative sign for the downward direction) FN on the car from the track if the car's speed is v- 9.49 m/s? (b) What is F if v- 16.7 m/s? (a) Number i (b) Number i Units Unitsarrow_forwardIn an attempt to make a curve in a road safer, the radius of curvature of the section of horizontal road was doubled.(a) Given that the curve's original speed limit was 40 km/h, what should the new speed limit be set to so that the same centripetal acceleration would be experienced?(b) Account for the fact that no work is necessary to maintain a satellite in its orbit around Earth.arrow_forward(4). (a) A 1,050 kg car makes a circular turn of radius 15m on a flat concrete road, if the speed is v= 8m/s %3D to avoid skidding what should be the coefficient of static friction between the tires and the road ? (b) A bicycle moving on a banked road at a speed of v=10m/s makes a circular turn. The radius of the circle is estimated to be 42 m. What is the angle of elevation, to the nearest tenth place, of the road with respect to the horizontal?arrow_forward
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