Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Textbook Question
Chapter 6, Problem 64PQ
A box rests on a surface (Fig. P6.64). A force
a. Draw a free-body diagram for both cases.
b. Now Fapp is increased in both cases until the box just barely remains at rest. Compare Fs, max for each free-body diagram.
c. Use your answer to part (b) to find a best way to move a heavy desk. Describe and explain your solution.
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2. A 1,480-N crate is being pushed across a level floor at a constant speed by a force F
of 370 N at an angle of 20.0° below the horizontal, as shown in the figure a below. The
floor has some amount of friction.
20.0°
a
a. Draw a free body diagram of all the forces on the crate.
b. Write out one equation for the y component of the resultant force. Hint: The crate
does not move in the y direction.
Write out one equation for the x component of the resultant force. Hint: the crate
moves in the x direction.
C.
d. Determine the Normal force.
e. What is the coefficient of kinetic friction between the crate and the floor? (Enter vour
answer to at least three decimal places.)
1. A car of mass 1000.0 kg is stationary on a slope forming an angle = 20° with the
horizontal line. The car is located at a distance of 50 m from the foot of the slope.
The coefficient of static friction between the tires and the road is μ = 0.20.
a. Draw a free-body-diagram of the problem including all the information that is
provided.
b. Will the car slide down the slope? Motivate your answer to obtain any points.
Once the car starts sliding down the slope, the coefficient of dynamic friction
becomes μ = 0.15.
c. Calculate the acceleration of the car.
d. Calculate the velocity of the car at the foot of the slope.
e. Calculate the kinetic energy of the car at the beginning and at the end of the
motion.
f. Calculate the total work done on the car.
g. Calculate the gravitational potential energy of the car at the beginning and at
the end of the motion.
h. Calculate the work done on the car by the gravitational force.
i. Calculate the work done on the car by the frictional force.
A 25 kg box is given an initial velocity of 65 m/s up a plane from
the bottom of the plane. The plane is inclined 35° to the horizontal.
The coefficient of kinetic friction between the box and the plane is
1.
0.45.
Sketch a free body diagram of the box, labelling all the forces
acting on the box.
a.
b.
Resolve the weight of the box into:
i.
a horizontal component parallel to the inclined plane, and
ii. a vertical component perpendicular to the inclined plane.
By applying Newton's second law of motion perpendicular to the
plane, determine the normal reaction force of the box.
с.
d.
By applying Newton's second law of motion parallel to the plane,
determine the acceleration of the box as it travels up the plane.
Calculate the distance the box travels up the plane before coming to
a stop.
Chapter 6 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 6.1 - CASE STUDY Skydiving Arguments Take a moment to...Ch. 6.3 - A box rests on a steel surface. Four sides of the...Ch. 6.3 - Prob. 6.3CECh. 6.4 - Imagine trying to push a heavy sofa across the...Ch. 6.4 - Prob. 6.5CECh. 6.4 - Prob. 6.6CECh. 6.4 - What forces act on you as you walk across a room?...Ch. 6.5 - Figure 6.20 shows four objects moving downward....Ch. 6.5 - Prob. 6.9CECh. 6.5 - Prob. 6.10CE
Ch. 6.6 - The following objects are moving in uniform...Ch. 6 - In many textbook problems, we ignore certain...Ch. 6 - Prob. 2PQCh. 6 - Prob. 3PQCh. 6 - Prob. 4PQCh. 6 - Prob. 5PQCh. 6 - Draw a free-body diagram for the burglar, who is...Ch. 6 - The shower curtain rod in Figure P6.7 is called a...Ch. 6 - A rectangular block has a length that is five...Ch. 6 - A man exerts a force of 16.7 N horizontally on a...Ch. 6 - A makeshift sign hangs by a wire that is extended...Ch. 6 - In Problem 10, the mass of the sign is 25.4 kg,...Ch. 6 - Prob. 12PQCh. 6 - A motorcyclist is traveling at 55.0 mph on a flat...Ch. 6 - A small steel I-beam (Fig. P6.14) is at rest with...Ch. 6 - A box is at rest with respect to the surface of a...Ch. 6 - A filled treasure chest of mass m with a long rope...Ch. 6 - A filled treasure chest (m = 375 kg) with a long...Ch. 6 - Rochelle holds her 2.80-kg physics textbook by...Ch. 6 - Prob. 19PQCh. 6 - A sled and rider have a total mass 56.8 kg. They...Ch. 6 - Prob. 21PQCh. 6 - Prob. 22PQCh. 6 - Prob. 23PQCh. 6 - Lisa measured the coefficient of static friction...Ch. 6 - An ice cube with a mass of 0.0507 kg is placed at...Ch. 6 - Prob. 26PQCh. 6 - Curling is a game similar to lawn bowling except...Ch. 6 - Prob. 28PQCh. 6 - A sled and rider have a total mass of 56.8 kg....Ch. 6 - A sled and rider have a total mass of 56.8 kg....Ch. 6 - A cart and rider have a total mass of 56.8 kg. The...Ch. 6 - Prob. 32PQCh. 6 - Prob. 33PQCh. 6 - Prob. 34PQCh. 6 - Prob. 35PQCh. 6 - Prob. 36PQCh. 6 - A racquetball has a radius of 0.0285 m. The drag...Ch. 6 - Prob. 38PQCh. 6 - Prob. 39PQCh. 6 - Prob. 40PQCh. 6 - An inflated spherical beach ball with a radius of...Ch. 6 - CASE STUDY In the train collision case study...Ch. 6 - Your sailboat has capsized! Fortunately, you are...Ch. 6 - Prob. 44PQCh. 6 - The drag coefficient C in FD=12CAv2 (Eq. 6.5)...Ch. 6 - Prob. 46PQCh. 6 - The speed of a 100-g toy car at the bottom of a...Ch. 6 - Prob. 48PQCh. 6 - Artificial gravity is produced in a space station...Ch. 6 - Escaping from a tomb raid gone wrong, Lara Croft...Ch. 6 - Harry Potter decides to take Pottery 101 as an...Ch. 6 - Harry sets some clay (m = 3.25 kg) on the edge of...Ch. 6 - A small disk of mass m is attached by a rope to a...Ch. 6 - Prob. 54PQCh. 6 - Prob. 55PQCh. 6 - Prob. 56PQCh. 6 - When a star dies, much of its mass may collapse...Ch. 6 - A satellite of mass 16.7 kg in geosynchronous...Ch. 6 - Banked curves are designed so that the radial...Ch. 6 - A block lies motionless on a horizontal tabletop....Ch. 6 - A car with a mass of 1453 kg is rolling along a...Ch. 6 - Prob. 62PQCh. 6 - Prob. 63PQCh. 6 - A box rests on a surface (Fig. P6.64). A force...Ch. 6 - A box of mass m rests on a rough, horizontal...Ch. 6 - A cylinder of mass M at rest on the end of a...Ch. 6 - Problems 67. 70. 71. and 72 are grouped. A A block...Ch. 6 - Instead of moving back and forth, a conical...Ch. 6 - Prob. 69PQCh. 6 - A Suppose you place a block of mass M on a plane...Ch. 6 - Prob. 71PQCh. 6 - Prob. 72PQCh. 6 - A car is driving around a flat, circularly curved...Ch. 6 - Prob. 74PQCh. 6 - Two children, with masses m1 = 35.0 kg and m2 =...Ch. 6 - Chris, a recent physics major, wanted to design...Ch. 6 - Prob. 77PQCh. 6 - Prob. 78PQCh. 6 - The radius of circular electron orbits in the Bohr...Ch. 6 - A particle of dust lands 45.0 mm from the center...Ch. 6 - Since March 2006, NASAs Mars Reconnaissance...
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- Draw a free-body diagram for the burglar, who is shown at rest while sneaking through a chimney in Figure P6.6.arrow_forward(a) Find an equation to determine the magnitude of the net force required to stop a car of mass m, given that the initial speed of the car is v0 and the stopping distance is x . (b) Find the magnitude of the net force if the mass of the car is 1050 kg, the initial speed is 40.0 km/h, and the stopping distance is 25.0 m.arrow_forwardThe shower curtain rod in Figure P6.7 is called a tension rod. The rod is not attached to the wall with screws, nails, or glue, but is pressed into the wall instead. Explain why the rod remains at rest, supporting the curtain. Explain why the name is misleading and come up with a better name. FIGURE P6.7arrow_forward
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Newton's Second Law of Motion: F = ma; Author: Professor Dave explains;https://www.youtube.com/watch?v=xzA6IBWUEDE;License: Standard YouTube License, CC-BY