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 6, Problem 55P
A bolt is threaded onto one end of a thin horizontal rod, and the rod is then rotated horizontally about its other end. An engineer monitors the motion by flashing a strobe lamp onto the rod and bolt, adjusting the strobe rate until the bolt appears to be in the same eight places during each full rotation of the rod (Fig. 6-42). The strobe rate is 2000 flashes per second; the bolt has mass 30 g and is at radius 3.5 cm. What is the magnitude of the force on the bolt from the rod?
Figure 6-42 Problem 55.
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(a) Evaluate the gravitational potential energy (in J) between two 4.00 kg spherical steel balls separated by a center-to-center distance of 19.0 cm.
(b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast (in m/s) will they each be traveling upon impact. Each sphere has a radius of 5.50 cm.
m/s
Very far from earth (at R = o0), a spacecraft has run out of
fuel and its kinetic energy is zero. If only the gravitational
force of the earth were to act on it (i.e., neglect the forces
from the sun and other solar system objects), the spacecraft
would eventually crash into the earth. The mass of the earth
is Me and its radius is Re. Neglect air resistance throughout
this problem, since the spacecraft is primarily moving through
the near vacuum of space.
Part A
Find the speed se of the spacecraft when it crashes into the earth.
Express the speed in terms of Me, Re, and the universal gravitational constant G.
Se =
Part B
Now find the spacecraft's speed when its distance from the center of the earth is R= aRe, where the coefficient a >1.
Express the speed in terms of se and a.
Sa =
Very far from earth (at R=∞), a spacecraft has run out of fuel and its kinetic energy is zero. If only the gravitational force of the earth were to act on it (i.e., neglect the forces from the sun and other solar system objects), the spacecraft would eventually crash into the earth. The mass of the earth is Me and its radius is Re. Neglect air resistance throughout this problem, since the spacecraft is primarily moving through the near vacuum of space.
Find the speed se of the spacecraft when it crashes into the earth.
Express the speed in terms of Me, Re, and the universal gravitational constant G. Use a conservation-law approach. Specifically, consider the mechanical energy of the spacecraft when it is (a) very far from the earth and (b) at the surface of the earth.
Chapter 6 Solutions
Fundamentals of Physics Extended
Ch. 6 - In Fig. 6-12, if the box is stationary and the...Ch. 6 - Prob. 2QCh. 6 - In Fig. 6-13, horizontal force F1 of magnitude 10...Ch. 6 - In three experiments, three different horizontal...Ch. 6 - If you press an apple crate against a wall so hard...Ch. 6 - In Fig. 6-14, a block of mass m is held stationary...Ch. 6 - Reconsider Question 6 but with the force F now...Ch. 6 - In Fig. 6-15, a horizontal force of 100 N is to be...Ch. 6 - Prob. 9QCh. 6 - Prob. 10Q
Ch. 6 - A person riding a Ferris wheel moves through...Ch. 6 - During a routine flight in 1956, test pilot Tom...Ch. 6 - A box is on a ramp that is at angle to the...Ch. 6 - The floor of a railroad flatcar is loaded with...Ch. 6 - In a pickup game of dorm shuffleboard, students...Ch. 6 - SSM WWW A bedroom bureau with a mass of 45 kg,...Ch. 6 - A slide-loving pig slides down a certain 35 slide...Ch. 6 - GO A 2.5 kg block is initially at rest on a...Ch. 6 - A baseball player with mass m 79 kg, sliding into...Ch. 6 - SSM ILW A person pushes horizontally with a force...Ch. 6 - The mysterious sliding stones. Along the remote...Ch. 6 - GO A 3.5 kg block is pushed along a horizontal...Ch. 6 - Figure 6-20 shows an initially stationary block of...Ch. 6 - SSM A 68 kg crate is dragged across a floor by...Ch. 6 - In about 1915, Henry Sincosky of Philadelphia...Ch. 6 - A worker pushes horizontally on a 35 kg crate with...Ch. 6 - Figure 6-22 shows the cross section of a road cut...Ch. 6 - The coefficient of static friction between Teflon...Ch. 6 - A loaded penguin sled weighing 80 N rests on a...Ch. 6 - In Fig. 6-24, a force P acts on a block weighing...Ch. 6 - GO You testify as an expert witness in a case...Ch. 6 - A 12 N horizontal force F pushes a block weighing...Ch. 6 - GO In Fig. 6-27, a box of Cheerios mass mC = 1.0...Ch. 6 - An initially stationary box of sand is to be...Ch. 6 - GO In Fig. 6-23, a sled is held on an inclined...Ch. 6 - When the three blocks in Fig. 6-29 are released...Ch. 6 - A 4.10 kg block is pushed along a floor by a...Ch. 6 - SSM WWW Block B in Fig. 6-31 weighs 711 N. 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Now assume that Eq....Ch. 6 - Assume Eq. 6-14 gives the drag force on a pilot...Ch. 6 - Calculate the ratio of the drag force on a jet...Ch. 6 - In downhill speed skiing a skier is retarded by...Ch. 6 - A cat dozes on a stationary merry-go-round in an...Ch. 6 - Suppose the coefficient of static friction between...Ch. 6 - ILW What is the smallest radius of an unbanked...Ch. 6 - During an Olympic bobsled run, the Jamaican team...Ch. 6 - SSM ILW A student of weight 667 N rides a steadily...Ch. 6 - A police officer in hot pursuit drives her car...Ch. 6 - A circular-motion addict of mass 80 kg rides a...Ch. 6 - A roller-coaster car at an amusement park has a...Ch. 6 - GO In Fig. 6-39, a car is driven at constant speed...Ch. 6 - An 85.0 kg passenger is made to move along a...Ch. 6 - SSM WWW An airplane is flying in a horizontal...Ch. 6 - An amusement park ride consists of a car moving in...Ch. 6 - An old streetcar rounds a flat corner of radius...Ch. 6 - In designing circular rides for amusement parks,...Ch. 6 - A bolt is threaded onto one end of a thin...Ch. 6 - GO A banked circular highway curve is designed for...Ch. 6 - GO A puck of mass m = 1.50 kg slides in a circle...Ch. 6 - Brake or turn? Figure 6- 44 depicts an overhead...Ch. 6 - SSM ILW In Fig. 6-45, a 1.34 kg ball is connected...Ch. 6 - GO In Fig. 6-46, a box of ant aunts total mass m1...Ch. 6 - SSM A block of mass mt = 4.0 kg is put on top of a...Ch. 6 - A 5.00 kg stone is rubbed across the horizontal...Ch. 6 - In Fig. 6-49, a 49 kg rock climber is climbing a...Ch. 6 - A high-speed railway car goes around a flat,...Ch. 6 - Continuation of Problems 8 and 37. Another...Ch. 6 - GO In Fig. 6-50, block 1 of mass m1 = 2.0 kg and...Ch. 6 - In Fig. 6-51, a crate slides down an inclined...Ch. 6 - Engineering a highway curve. If a car goes through...Ch. 6 - A student, crazed by final exams, uses a force P...Ch. 6 - GO Figure 6-53 shows a conical pendulum, in which...Ch. 6 - An 8.00 kg block of steel is at rest on a...Ch. 6 - A box of canned goods slides down a ramp from...Ch. 6 - In Fig. 6-54, the coefficient of kinetic friction...Ch. 6 - A 110 g hockey puck sent sliding over ice is...Ch. 6 - A locomotive accelerates a 25-car train along a...Ch. 6 - A house is built on the top of a hill with a...Ch. 6 - What is the terminal speed of a 6.00 kg spherical...Ch. 6 - A student wants to determine the coefficients of...Ch. 6 - SSM Block A in Fig. 6-56 has mass mA = 4.0 kg, and...Ch. 6 - Calculate the magnitude of the drag force on a...Ch. 6 - SSM A bicyclist travels in a circle of radius 25.0...Ch. 6 - In Fig. 6-57, a stuntman drives a car without...Ch. 6 - You must push a crate across a floor to a docking...Ch. 6 - In Fig. 6-58, force F is applied to a crate of...Ch. 6 - In the early afternoon, a car is parked on a...Ch. 6 - A sling-thrower puts a stone 0.250 kg in the...Ch. 6 - SSM A car weighing 10.7 kN and traveling at 13.4...Ch. 6 - In Fig. 6-59, block 1 of mass m1 = 2.0 kg and...Ch. 6 - SSM A filing cabinet weighing 556 N rests on the...Ch. 6 - In Fig. 6-60, a block weighing 22 N is held at...Ch. 6 - Prob. 91PCh. 6 - A circular curve of highway is designed for...Ch. 6 - A 1.5 kg box is initially at rest on a horizontal...Ch. 6 - A child weighing 140 N sits at rest at the top of...Ch. 6 - In Fig. 6-61 a fastidious worker pushes directly...Ch. 6 - A child places a picnic basket on the outer rim of...Ch. 6 - SSM A warehouse worker exerts a constant...Ch. 6 - In Fig. 6-62, a 5.0 kg block is sent sliding up a...Ch. 6 - An 11 kg block of steel is at rest on a horizontal...Ch. 6 - A ski that is placed on snow will stick to the...Ch. 6 - Playing near a road construction site, a child...Ch. 6 - A 100 N force, directed at an angle above a...Ch. 6 - A certain string can withstand a maximum tension...Ch. 6 - A four-person bobsled total mass = 630 kg comes...Ch. 6 - As a 40 N block slides down a plane that is...
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