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college physics with an integrated approach

Questions and Answers of College Physics With An Integrated Approach

In an action movie, the hero dangles his archenemy over the edge of a cliff. The archenemy's mass is 68 kg and his center of mass is 44 cm horizontally past the edge of the cliff. The hero's center
The positions of three objects, written as (x, y) coordinates, are: (1.0 m, 1.0 m), (2.0 m, 3.0 m), and (3.0 m, 1.0 m). The objects have equal masses. If one of the objects is moved 12 cm in the
Consider two falling objects. Their masses are 3.0 kg and 4.0 kg. At time t = 0, the two are released from rest. What is the velocity of their CM at t = 10.0 s? Ignore air resistance.
An object of 1.0 kg mass approaches a stationary object of 5.0 kg at 10.0 m/s and, after colliding, rebounds in the reverse direction along the same line with a speed of 5.0 m/s. What is the speed of
A 2.0 kg object is at rest on a frictionless surface when it is hit by a 3.0 kg object moving at 8.0 m/s. If the two objects are stuck together after the collision, what is the speed of the
(a) In Practice Problem 7.11, find the momentum change of the ball of mass m1 during the collision. Give your answer in x- and y-component form; express the components in terms of m1 and
A 6.0 kg object is at rest on a frictionless surface when it is struck head-on by a 2.0 kg object moving at 10 m/s. If the collision is elastic, what is the speed of the 6.0 kg object after the
A 2.0 kg object (the “projectile”) approaches a stationary object (the “target”) at 5.0 m/s. The projectile is deflected through an angle of 60.0° and its speed after the collision is 3.0
In a nuclear reactor, a neutron moving at speed vi in the positive x-direction strikes a deuteron, which is at rest. The neutron is deflected by 90.0° and moves off with speed 0.577vi in the
Two identical pucks are on an air table. Puck A has an initial velocity of 2.0 m/s in the +x-direction. Puck B is at rest. Puck A collides with puck B, and A moves off at 1.0 m/s at an angle of 60°
A block of mass 2.00 kg slides eastward along a frictionless surface with a speed of 2.70 m/s. A chunk of clay with a mass of 1.50 kg slides southward on the same surface with a speed of 3.20 m/s.
In a circus trapeze act, two acrobats fly through the air and grab on to each other, then together grab a swinging bar. One acrobat, with a mass of 60 kg, is moving at 3.0 m/s at an angle of 10°
In a game of pool, suppose that the cue ball initially moves in the −x-direction. After a collision with the 4-ball of equal mass, the cue ball moves at 52.0° above the −x-axis and the 4-ball
To contain a violent mob, the riot squad approaches with fire hoses. Suppose that the rate of flow of water through a fire hose is 24 kg/s, and the stream of water from the hose moves at 17 m/s. What
An object of mass 2.0 kg (the “projectile”) approaches a stationary object (the “target”) at 8.0 m/s. The projectile is deflected through an angle of 90.0° and its speed after the collision
Gerald wants to know how fast he can throw a ball, so he hangs a 2.30 kg target on a rope from a tree. He picks up a 0.50 kg ball of putty and throws it horizontally against the target. The putty
It is the bottom of the ninth inning at a baseball game. The score is tied and there is a runner on second base when the batter gets a hit. The 85 kg base runner rounds third base and is heading for
Pendulum bob A has half the mass of pendulum bob B. Each bob is tied to a string that is 5.1 m long. When bob A is held with its string horizontal and then released, it swings down and, once bob A's
At the beginning of a scene in an action movie, the 78.0 kg star, Indianapolis Jones, stands on a ledge 3.70 m above the ground and the 55.0 kg heroine, Georgia Smith, stands on the ground. Jones
In Fig. 8.2b, where should the doorknob be located to make the door easier to open? Axis of rotation (a) (b) Axis of rotation
A Vulcan spaceship has a mass of 65 000 kg and a Romulan spaceship is twice as massive. Both have engines that generate the same total force of 9.5 × 106 N. (a) If each spaceship fires its
A boy of mass 60 kg is sledding down a 70 m slope starting from rest. The slope is angled at 15° below the horizontal. After going 20 m along the slope, he passes his friend, who hops onto the sled.
A 0.122 kg dart is fired from a gun with a speed of 132 m/s horizontally into a 5.00 kg wooden block. The block is attached to a spring with a spring constant of 8.56 N/m. The coefficient of kinetic
Verify that has dimensions of energy. lo
When both are expressed in terms of SI base units, torque has the same units as(a) Angular acceleration (b) Angular momentum (c) Force (d) Energy (e) Rotational inertia (f)
A heavy box is resting on the floor. You would like to push the box to tip it over on its side, using the minimum force possible. Which of the arrows in the diagram shows the correct location and
How does the speed of the cylinder compare with its original value?A uniform solid cylinder rolls without slipping down an incline. At the bottom of the incline, the speed v of the cylinder is
How does the ratio of rotational to translational kinetic energy of the cylinder compare with its original value?A uniform solid cylinder rolls without slipping down an incline. At the bottom of the
Explain why it is easier to drive a wood screw using a screwdriver with a large-diameter handle rather than one with a thin handle. An object in equilibrium has only two forces acting on it. The
Find the rotational inertia of the system of point particles shown in the figure assuming the system rotates about the (a) x-axis, (b) y-axis, (c) z-axis. The z-axis is perpendicular
An object in equilibrium has only two forces acting on it. The forces must be equal in magnitude and opposite in direction in order to give a translational net force of zero. What else must be true
The SI units of angular momentum are (a) rad (b) rad (c) kg-m (d) kg-m? (e) kg-m? (f) kg-m
Calculate the rotational inertia for each of the three arrangements.Four point masses of 3.0 kg each are arranged in a square on massless rods. The length of a side of the square is 0.50 m.
Rank the three arrangements in increasing order of the rotational inertia.Four point masses of 3.0 kg each are arranged in a square on massless rods. The length of a side of the square is 0.50
In Section 8.6, it was asserted that the sum of all the internal torques (i.e., the torques due to internal forces) acting on a rigid object is zero. The figure shows two particles in a rigid object.
Which of the forces in the figure produces the largest magnitude torque about the rotation axis indicated?(a) 1 (b) 2 (c) 3 (d) 4
A uniform bar of mass m is supported by a pivot at its top, about which the bar can swing like a pendulum. If a force F is applied perpendicularly to the lower end of the bar as in the diagram, how
Which of the forces in the figure produces a CW torque about the rotation axis indicated?(a) 3 only (b) 4 only (c) 1 and 2 (d) 1, 2, and 3(e) 1, 2, and 4
In each of the five situations shown, a force is applied to a point on the handle of an old pump. Rank the situations in order of the magnitude of the torque applied to the handle, smallest to
Which pair of forces in the figure might produce equal magnitude torques with opposite signs?(a) 2 and 3 (b) 2 and 4 (c) 1 and 2 (d) 1 and 3 (e) 1 and 4 (f) 3 and 4
A high diver in midair pulls her legs inward toward her chest in order to rotate faster. Doing so changes which of these quantities: her angular momentum L, her rotational inertia I, and her
As shown in the top-view diagram, a 46.4 N force is applied to the outer edge of a door of width 1.26 m in such a way that it acts (a) Perpendicular to the door, (b) At an angle of 43.0°
A plate of uniform thickness is shaped as shown. Where is the center of gravity? Assume the origin (0, 0) is located at the lower left corner of the plate; the upper left corner is at (0, s); and the
A mechanic turns a wrench using a force of 25 N at a distance of 16 cm from the rotation axis. The force is perpendicular to the wrench handle. What magnitude torque does she apply to the wrench?
Your friend balances a package with mass m = 10 kg on top of his head while standing. The mass of his upper body is M = 55 kg (about 65% of his total mass). Because the spine is vertical rather than
The pull cord of a lawnmower engine is wound around a drum of radius 6.00 cm. While the cord is pulled with a force of 75 N to start the engine, what magnitude torque does the cord apply to the drum?
The human mandible (lower jaw) is attached to the temporomandibular joint (TMJ). The masseter muscle is largely responsible for pulling the mandible upward when you are talking or eating. It is
(a) Assuming that the cord does not slip as it passes around the pulley, what is the relationship between the angular acceleration of the pulley (α) and the magnitude of the linear acceleration of
The radius of a wheel is 0.500 m. A rope is wound around the outer rim of the wheel. The rope is pulled with a force of magnitude 5.00 N, unwinding the rope and making the wheel spin CCW about its
Six flywheels have masses, thicknesses, radii, and angular speeds as given in the table. Each flywheel is a solid disk. Rank the flywheels in order of their angular momentum, smallest to largest.
A Ferris wheel rotates because a motor exerts a torque on the wheel. The radius of the London Eye, a huge observation wheel on the banks of the Thames, is 67.5 m and its mass is 1.90 × 106 kg. The
A discus thrower moves the discus in 1.5 complete revolutions in 1.4 s (starting from rest). The radius of the circular path of the discus is 0.90 m, and the mass of the discus is 2.0 kg. Assume a
A solid cylinder (mass 160 g, radius 2.0 cm) rolls without slipping at a speed of 5.0 cm/s. What is its total kinetic energy?
A uniform disk of mass 5.00 kg has a radius of 0.100 m and spins with a frequency of 0.550 rev/s. What is its angular momentum?
One way to determine the location of your center of gravity is shown in the diagram. A 2.2 m long uniform plank is supported by two bathroom scales, one at either end. Initially the scales each read
A figure skater is spinning at 10.0 rad/s with her arms extended. Her rotational inertia is 2.50 kg·m2. After pulling her arms in, her rotational inertia is 1.60 kg·m2. How much work does she do to
If the cylinder rotates at 300.0 rev/min, what is the magnitude of the average torque required to tilt its axis by 60.0° in a time of 3.00 s?A solid cylindrical disk is to be used as a stabilizer in
(a) Assume Earth is a uniform solid sphere. Find the kinetic energy of Earth due to its rotation about its axis. (b) Suppose we could somehow extract 1.0% of Earth's rotational kinetic energy to
A collection of objects is set to rolling, without slipping, down a slope inclined at 30°. The objects are a solid sphere, a hollow sphere, a solid cylinder, and a hollow cylinder. A frictionless
A grinding wheel, with a mass of 20.0 kg and a radius of 22.4 cm, is a uniform cylindrical disk. (a) Find the rotational inertia of the wheel about its central axis. (b) When the grinding
A rotating star collapses under the influence of gravitational forces to form a pulsar. The radius of the pulsar is 1.0 × 10−4 times the radius of the star before collapse. There is no change in
A flat object in the xy-plane is free to rotate about the z-axis. The gravitational field is uniform in the −y-direction. Think of the object as a large number of particles with masses mn located
A 5.60 kg uniform door is 0.760 m wide by 2.030 m high, and is hung by two hinges, one at 0.280 m from the top and one at 0.280 m from the bottom of the door. If the vertical components of the forces
In a motor, a flywheel (solid disk of radius R and mass M) is rotating with angular velocity ωi. When the clutch is released, a second disk (radius r and mass m) initially not rotating is brought
A uniform solid cylinder rolls without slipping or sliding down an incline. The angle of inclination is 60.0°. Use energy considerations to find the cylinder's speed after it has traveled a distance
A person on a bicycle (combined total mass 80.0 kg) starts from rest and coasts down a hill to the bottom 20.0 m below. Each wheel can be treated as a hoop with mass 1.5 kg and radius 40 cm. Ignore
An experimental flywheel, used to store energy and replace an automobile engine, is a solid disk of mass 200.0 kg and radius 0.40 m. (a) What is its rotational inertia? (b) When driving at
Nina wants to lean a ladder of mass 15 kg and length 8.0 m against a wall. She lifts one end over her head. Then she “walks” her hands from rung to rung toward the other end, which rests on the
A hoop of 2.00 m circumference is rolling down an inclined plane of length 10.0 m in a time of 10.0 s. It started out from rest. (a) What is its angular velocity when it arrives at the
A hollow cylinder rolls without slipping or sliding along a horizontal surface toward an incline. (a) If the cylinder's speed is 3.00 m/s at the base of the incline and the angle of inclination
Consider the apparatus shown in the figure (not to scale). The pulley, which can be treated as a uniform disk, has a mass of 60.0 g and a radius of 3.00 cm. The spool also has a radius of 3.00 cm.
A bicycle and its rider have a total mass of 74.0 kg. Each of its wheels can be modeled as a thin hoop with mass 1.30 kg and diameter of 70.0 cm. When the brakes are applied, two brake pads squeeze
A uniform disk is rotated about its symmetry axis. The disk goes from rest to an angular speed of 11 rad/s in a time of 0.20 s with constant angular acceleration. The rotational inertia and radius of
You are mowing the lawn on a hill near your house when the lawnmower blade strikes a stone of mass 100 g and sends it flying horizontally toward a window. The lawnmower blade can be modeled as a thin
A child's toy is made of a 12.0 cm radius rotating wheel that picks up 1.00 g pieces of candy in a pocket at its lowest point, brings the candy to the top, then releases it. The frequency of rotation
Carlos and Shannon are sledding down a snow-covered slope that is angled at 12° below the horizontal. When sliding on snow, Carlos's sled has a coefficient of friction μk = 0.10; Shannon has a
A rocket engine can accelerate a rocket launched from rest vertically up with an acceleration of 20.0 m/s2. However, after 50.0 s of flight the engine fails. Ignore air resistance. (a) What is
A person stands on a bathroom scale in an elevator. Rank the scale readings from highest to lowest based on the given information about the speed v or the magnitude of the acceleration a. (a)
The orange jewelweed (Impatiens capensis) has seed pods that explode when lightly touched, launching the seeds as projectiles to disperse them. Suppose a seed is launched at 1.2 m/s from a height of
An archer fish spies a meal of a grasshopper sitting on a long stalk of grass at the edge of the pond in which he is swimming. If the fish is to successfully spit at and strike the grasshopper, which
A 3000 kg truck is about to tow a 1250 kg car up a hill that makes an angle of α = 10° with respect to the horizontal. The rope attached from the truck to the car makes an angle of β = 25° with
The snow leopard (Uncia uncia) is an endangered species that lives in the mountains of central Asia. It is thought to be the longest jumper in the animal kingdom. If a snow leopard jumps at 35°
A clay roof tile of mass 2.7 kg slides down a roof inclined at 48° with respect to the horizontal. If the tile starts from rest 3.2 m from the edge of the roof and friction is negligible, how fast
Two blocks are connected by an ideal cord that passes over a frictionless pulley. If m1 = 3.6 kg and m2 = 9.2 kg, and block 2 is initially at rest 140 cm above the floor, how long does it take
A stone is thrown at an angle of 20° below the horizontal from the top of a cliff. Assume no air resistance. One second after being thrown, the stone's velocity is at angle θ below the horizontal.
An airplane starts from rest on the runway. The engines exert a constant force of 78 kN on the body of the plane (mass 9.2 × 104 kg) during takeoff. How far down the runway does the plane reach its
A stone is thrown at an angle of 20° below the horizontal from the top of a cliff. Assume no air resistance. One second after being thrown, the stone's acceleration makes an angle θ below the
In a cathode ray tube, electrons are accelerated from rest by a constant electric force of mag nitude 6.4 × 10−17 N during the first 2.0 cm of the tube's length; then they move at essentially
On the way down, the magnitude of the ball's acceleration is_____.A ball is tossed straight up. Air resistance is not negligible; the force of air resistance is opposite in direction to the ball's
A train of mass 55 200 kg is traveling along a straight, level track at 26.8 m/s. Suddenly the engineer sees a truck stalled on the tracks 184 m ahead. If the maximum possible braking force has
At the top the magnitude of the ball's acceleration is _____.A ball is tossed straight up. Air resistance is not negligible; the force of air resistance is opposite in direction to the ball's
The forces on a small airplane (mass 1160 kg) in horizontal flight heading eastward are as follows: weight = 11.4 kN downward, lift = 11.4 kN upward, thrust = 1.800 kN eastward, and drag = 1.400 kN
On the way up, the magnitude of the ball's acceleration is _____.A ball is tossed straight up. Air resistance is not negligible; the force of air resistance is opposite in direction to the ball's
When a coin is tossed directly upward, what can you say about its velocity and acceleration at the high point of the toss?
In a game of shuffleboard, a disk with an initial speed of 3.2 m/s travels 6.0 m before coming to rest. (a) What was the acceleration of the disk? (b) What was the coefficient of kinetic
You throw a ball up with initial speed vi, and when it reaches its high point at height h, you throw another ball into the air with the same initial speed vi. Will the two balls cross at half the
Why might an elevator cable break during acceleration when lifting a lighter load than it normally supports at rest or at constant velocity?
A 70.0 kg man stands on a bathroom scale in an elevator. What does the scale read if the elevator is slowing down at a rate of 3.00 m/s2 while descending?(a) 210 N(b) 476 N(c) 686 N(d) 700 N(e)
If air resistance is ignored, what force(s) act on an object in free fall?
Two blocks are connected by a light string passing over a pulley. The block with mass m1 slides on the frictionless horizontal surface, while the block with mass m2 hangs vertically (m1 > m2). The

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