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college physics with an integrated approach

College Physics With An Integrated Approach To Forces And Kinematics 5th Edition Alan Giambattista - Solutions

Does a manometer (with one side open) measure absolute pressure or gauge pressure? How about a barometer? A tire pressure gauge? A sphygmomanometer?
Bacteria swim using a corkscrew-like helical flagellum that rotates. For a bacterium with a flagellum that has a pitch of 1.0 μm that rotates at 110 rev/s, how fast could it swim if there were no “slippage” in the medium in which it is swimming? The pitch of a helix is the distance between
(a) Using Fig. 3.26, estimate Damon’s acceleration at t = 2.0 s. (b) Estimate his average velocity between t = 0 and t = 10.0 s. t (s) 4 8 10 12 Smaller slope = smaller acceleration -2 Larger slope larger acceleration -6 (m/s) 2.
(a) In Fig. 3.27, what is the instantaneous acceleration of the sports car of Example 3.7 at the time of 14 s from the start? (b) What is the frictional force on the car at this instant, in terms of the weight W? (c) What is the displacement of the car from t = 12.0 s to t = 16.0
Sketch a graph of ax(t) for the car in Problem 43. V (m/s)4 20 15 10 5 0. 5 10 15 20 t (s)
A and B have the same density; A has the larger radius. Which has the larger terminal velocity?Two spheres, A and B, fall through the same viscous fluid.(a) A has the larger terminal velocity.(b) B has the larger terminal velocity. (c) A and B have the same terminal velocity. (d)
A and B have the same radius; A has the larger mass. Which has the larger terminal velocity?Two spheres, A and B, fall through the same viscous fluid.(a) A has the larger terminal velocity.(b) B has the larger terminal velocity. (c) A and B have the same terminal velocity. (d)
Two gears A and B are turning in mesh. Gear A’s radius to the point of contact between the gears is 8.0 cm and that of gear B is 4.0 cm.(a) What is the linear speed of the contact point when gear A’s angular velocity is 6.0 rad/s counterclockwise? (b) What is B’s angular velocity? A B
A small object of mass 0.50 kg is attached by a 0.50 m long cord to a pin set into the surface of a frictionless table top. The object moves in a circle on the horizontal surface with a speed of 2.0π m/s. (a) What is the magnitude of the radial acceleration of the object? (b) What is the
A proposed “space elevator” consists of a cable going all the way from the ground to a space station in geostationary orbit (always above the same point on Earth’s surface). Elevator “cars” would climb the cable to transport cargo to outer space. Consider a cable connected between the
A star near the visible edge of a galaxy travels in a uniform circular orbit. It is 40 000 ly (light-years) from the galactic center and has speed of 275 km/s. (a) Estimate the total mass of the galaxy based on the motion of the star.(b) The total visible mass (i.e., matter we can detect
A rotating flywheel slows down with constant angular acceleration due to friction in its bearings. At t = 0, its angular velocity is 420 rad/s. At t = 60 s, its angular velocity is 340 rad/s. (a) What is the angular velocity at t = 180 s? (b) Through how many revolutions has it turned at
Earth’s orbit around the Sun is nearly circular. The period is 1 yr = 365.25 d. (a) In an elapsed time of 1 d, what is Earth’s angular displacement in radians? (b) What is the change in Earth’s velocity, ? (c) What is Earth’s average acceleration during 1 d? (d) Compare
Objects that are at rest relative to Earth’s surface are in circular motion due to Earth’s rotation. (a) What is the radial acceleration of an object at the equator? (b) Is the object’s apparent weight greater or less than its weight? Explain. (c) By what percentage does the
Two blocks are connected by a light string passing over an ideal pulley. The block with mass m1 = 20.0 kg slides on a frictionless horizontal surface, while the block with mass m2 = 1.0 kg hangs vertically. The radius of the pulley is 6.0 cm. (a) Assuming that the pulley rotates such that the
A ball weighing 20.0 N is tied to a string fixed to the ceiling. The string makes a 30.0° angle with the ceiling. Initially, the ball is held in place by a force that is perpendicular to the string. (a) What is the magnitude of the force ? (b) What is the tension in the string? (c)
A wheel of radius r rolls to the right without slipping on a horizontal road. Its axle moves at a constant speed vaxle. (a) Find the velocities of points A, B, and C with respect to the axle. Express your answers in terms of vaxle and r, as needed. (b) Find the velocities of points A, B,
If a kangaroo on Earth can jump from a standing start so that its feet reach a height h above the surface, approximately how high can the same kangaroo jump from a standing start on the Moon’s surface? . (Assume the kangaroo has an oxygen tank and pressure suit with negligible mass.) (а) h (b)
After getting on the Santa Monica Freeway, a sports car accelerates from 30 mi/h to 90 mi/h. Its kinetic energy(a) Increases by a factor of √3.(b) Increases by a factor of 3.(c) Increases by a factor of 9.(d) Increases by a factor that depends on the car’s mass.
At perihelion, the gravitational potential energy of Mercury’s orbit hasThe orbit of Mercury is much more eccentric than the orbits of the other planets. That is, instead of being nearly circular, the orbit is noticeably elliptical.(a) Its maximum value.(b) Its minimum value.(c) The same value as
Hilda holds a gardening book of weight 10 N at a height of 1.0 m above her patio for 50 s. How much work does she do on the book during that 50 s?
At perihelion, the kinetic energy of Mercury hasThe orbit of Mercury is much more eccentric than the orbits of the other planets. That is, instead of being nearly circular, the orbit is noticeably elliptical.(a) Its maximum value.(b) Its minimum value.(c) The same value as at every other point in
At perihelion, the mechanical energy of Mercury’s orbit hasThe orbit of Mercury is much more eccentric than the orbits of the other planets. That is, instead of being nearly circular, the orbit is noticeably elliptical.(a) Its maximum value.(b) Its minimum value.(c) The same value as at every
As Mercury moves from the perihelion to the aphelion, the work done by gravity on Mercury is(a) Zero.(b) Positive.(c) Negative.The orbit of Mercury is much more eccentric than the orbits of the other planets. That is, instead of being nearly circular, the orbit is noticeably elliptical.
A horizontal towrope exerts a force of 240 N due west on a wate-skier while the skier moves due west a distance of 54 m. How much work does the towrope do on the water-skier?
A hiker descends from the South Rim of the Grand Canyon to the Colorado River. During this hike, the work done by gravity on the hiker is(a) Positive and depends on the path taken.(b) Negative and depends on the path taken.(c) Positive and independent of the path taken.(d) Negative and independent
Two balls are thrown from the roof of a building with the same initial speed. One is thrown horizontally while the other is thrown at an angle of 20° above the horizontal. Which hits the ground with the greatest speed? Ignore air resistance.(a) The one thrown horizontally(b) The one thrown at
Starting from rest, a horse pulls a 250 kg cart for a distance of 1.5 km. It reaches a speed of 0.38 m/s by the time it has walked 50.0 m and then walks at constant speed. The frictional force on the rolling cart is a constant 260 N. Each gram of oats the horse eats releases 9.0 kJ of energy; 10.0%
What speed does the catapult give a pebble of mass m when stretched to a distance 3d?A simple catapult, consisting of a leather pouch attached to rubber bands tied to two prongs of a wooden Y, has a spring constant k and is used to shoot a pebble horizontally. When the catapult is stretched by a
What speed does the catapult give a pebble of mass m/3 when stretched to a distance d?A simple catapult, consisting of a leather pouch attached to rubber bands tied to two prongs of a wooden Y, has a spring constant k and is used to shoot a pebble horizontally. When the catapult is stretched by a
The main energy expenditure involved in running is the work done by the muscles to accelerate the legs. When a foot strikes the ground, it is momentarily brought to rest while the remainder of the animal’s body continues to move forward. When the foot is picked up, it is accelerated forward by
A projectile is launched at an angle θ above the horizontal. Ignoring air resistance, what fraction of its initial kinetic energy does the projectile have at the top of its trajectory? (а) cos 0 (b) sin 0 (c) tan 0 1 (d) tan0 1 (e) 2 (f) cos? 0 (g) sin? e (h) 0 (i) 1
Find the work done by gravity on the sliding crate.A crate of mass m1 = 12.4 kg is pulled by a massless rope up a 36.9° ramp. The rope passes over an ideal pulley and is attached to a hanging crate of mass m2 = 16.3 kg. The crates move 1.40 m, starting from rest. m2
If the incline is frictionless, find the total work done on the sliding crate. The tension in the rope is 110.5 N.A crate of mass m1 = 12.4 kg is pulled by a massless rope up a 36.9° ramp. The rope passes over an ideal pulley and is attached to a hanging crate of mass m2 = 16.3 kg. The crates
Find the work done by gravity on the hanging crate.A crate of mass m1 = 12.4 kg is pulled by a massless rope up a 36.9° ramp. The rope passes over an ideal pulley and is attached to a hanging crate of mass m2 = 16.3 kg. The crates move 1.40 m, starting from rest.
If the frictional force on the sliding crate has magnitude 19.4 N and the tension in the rope is 121.5 N, find the total work done on the sliding crate.A crate of mass m1 = 12.4 kg is pulled by a massless rope up a 36.9° ramp. The rope passes over an ideal pulley and is attached to a hanging
A 75.0 kg skier starts from rest and slides down a 32.0 m frictionless slope that is inclined at an angle of 15.0° with the horizontal. Ignore air resistance. Calculate the work done by gravity on the skier and the work done by the normal force on the skier.
A lawyer is on his way to court carrying his briefcase. The mass of the briefcase is 5.00 kg. The lawyer realizes that he is going to be late. Starting from rest, he starts to run, reaching a speed of 2.50 m/s. What is the work done by the lawyer on the briefcase during this time? Ignore air
In 1899, Charles M. “Mile a Minute” Murphy set a record for speed on a bicycle by pedaling for a mile at an average of 62.3 mi/h (27.8 m/s) on a track of planks set over railroad ties in the draft of a Long Island Railroad train. In 1985, a record was set for this type of “motor pacing” by
Rank the points in order of kinetic energy, from greatest to least, assuming no friction or air resistance.A skier passes through points A–E as shown. Points B and D are at the same height. B D
Rank the points in order of gravitational potential energy, from greatest to least. A skier passes through points A–E as shown. Points B and D are at the same height. B D
Rank the points in order of mechanical energy, from greatest to least, assuming no friction or air resistance.A skier passes through points A–E as shown. Points B and D are at the same height. B D
Rank the points in order of mechanical energy, from greatest to least, taking friction and air resistance into consideration.A skier passes through points A–E as shown. Points B and D are at the same height. B D
An arrangement of two pulleys, as shown in the figure, is used to lift a 48.0 kg crate a distance of 4.00 m above the starting point. Assume the pulleys and rope are ideal and that all rope sections are essentially vertical. (a) What is the change in the potential energy of the crate when it
Brad tries out a weight-loss plan that involves repeatedly lifting a 50.0 kg barbell from the floor over his head to a height of 2.0 m. If he is able to complete three such lifts per minute, how long will it take for him to lose 0.50 kg of fat? “Burning” 1 g of fat supplies 39 kJ to the body;
Refer to Problems 11–14. Find the final speed of the sliding crate if the incline is frictionless.A crate of mass m1 = 12.4 kg is pulled by a massless rope up a 36.9° ramp. The rope passes over an ideal pulley and is attached to a hanging crate of mass m2 = 16.3 kg. The crates move 1.40 m,
A brick of mass 1.0 kg slides down an icy roof inclined at 30.0° with respect to the horizontal. (a) If the brick starts from rest, how fast is it moving when it reaches the edge of the roof 2.00 m away? Ignore friction. (b) Redo part (a) if the coefficient of kinetic friction is 0.10.
Refer to Problems 11–14. Find the final speed of the sliding crate if the frictional force on the sliding crate has magnitude 19.4 N.A crate of mass m1 = 12.4 kg is pulled by a massless rope up a 36.9° ramp. The rope passes over an ideal pulley and is attached to a hanging crate of mass m2
The orbit of comet Halley around the Sun is a long thin ellipse. At its aphelion (point farthest from the Sun), the comet is 5.3 × 1012 m from the Sun and moves with a speed of 10.0 km/s. What is the comet’s speed at its perihelion (closest approach to the Sun) where its distance from the Sun is
Suppose a satellite is in a circular orbit 3.0 Earth radii above the surface of Earth (4.0 Earth radii from the center of Earth). By how much does it have to increase its speed in order to be able to escape Earth?
An asteroid hits the Moon and ejects a large rock from its surface. The rock has enough speed to travel to a point between Earth and the Moon where the gravitational forces on it from Earth and the Moon are equal in magnitude and opposite in direction. At that point the rock has a very small
A block of wood is compressed 2.0 nm when inward forces of magnitude 120 N are applied to it on two opposite sides. (a) Assuming Hooke’s law holds, what is the effective spring constant of the block? (b) Assuming Hooke’s law still holds, how much is the same block compressed by inward
The length of a spring increases by 7.2 cm from its relaxed length when a mass of 1.4 kg is hanging in equilibrium from the spring. (a) What is the spring constant? (b) How much elastic potential energy is stored in the spring? (c) A different mass is suspended, and the spring length
Rhonda keeps a 2.0 kg model airplane moving at constant speed in a horizontal circle at the end of a string of length 1.0 m. The tension in the string is 18 N. How much work does the string do on the plane during each revolution?
The tension in a ligament in the human knee is approximately proportional to the extension of the ligament, if the extension is not too large. If a particular ligament has an effective spring constant of 150 N/mm as it is stretched, (a) what is the tension in this ligament when it is stretched
An instrument known as an atomic force microscope (AFM) can be used to measure forces between atoms or molecules at the nanometer scale. Suppose you find the elasticity of biological membranes by measuring the indentation of the force probe into the membrane as a function of the applied force. You
Lars, of mass 82.4 kg, can do work for about 2.0 min at the rate of 1.0 hp (746 W). How long will it take him to climb three flights of stairs, a vertical height of 12.0 m?
A bicycle and its rider together have a mass of 75 kg. What power output of the rider is required to maintain a constant speed of 4.0 m/s (about 9 mi/h) up a 5.0% grade (a road that rises 5.0 m for every 100 m along the pavement)? Assume that frictional losses of energy are negligible.
A patient’s heart pumps 5.0 L of blood per minute into the aorta, which has a diameter of 1.8 cm. The average force exerted by the heart on the blood is 16 N. What is the average mechanical power output of the heart?
You are driving a car through campus when a fellow student steps out in front of you. You slam on the brakes, creating a 9.0 m long skid mark as measured by the police officer standing on the corner. She also has a device that measures the coefficient of friction between rubber and asphalt as 0.60.
A 1500 kg car coasts in neutral down a 2.0° hill. The car attains a terminal speed of 20.0 m/s. (a) How much power must the engine deliver to drive the car on a level road at 20.0 m/s? (b) If the maximum useful power that can be delivered by the engine is 40.0 kW, what is the steepest
Plot a graph of this data for a spring resting horizontally on a table. Use your graph to find (a) The spring constant and (b) The relaxed length of the spring. Force (N) 0.200 0.450 0.800 1.500 Spring length (cm) 13.3 15.0 17.3 22.0
A spring scale in a French market is calibrated to show the mass of vegetables in grams and kilograms. (a) If the marks on the scale are 1.0 mm apart for every 25 g, what maximum extension of the spring is required to measure up to 5.0 kg? (b) What is the spring constant of the spring?
Ugonna stands at the top of an incline and pushes a 100 kg crate to get it started sliding down the incline. The crate slows to a halt after traveling 1.50 m along the incline. (a) If the initial speed of the crate was 2.00 m/s and the angle of inclination is 30.0°, how much energy was
How much energy is converted by the muscles of an 80.0 kg person in climbing a vertical distance of 15 m? Assume that muscles have an efficiency of 22%; that is, the increase in gravitational potential energy is 22% of the total energy converted.
Starting from rest, a package slides down a 2.8 m long ramp inclined 53° below the horizontal. If μk = 0.30, find the speed of the package at the bottom of the ramp.
What is the speed of the object when it has moved 0.10 m along the incline?A spring with k = 40.0 N/m is at the base of a frictionless 30.0° inclined plane. A 0.50 kg object is pressed against the spring, compressing it 0.20 m from its equilibrium position. The object is then released.
A child’s playground swing is supported by chains that are 4.0 m long. If a child in the swing is 0.50 m above the ground and moving at 6.0 m/s when the chains are vertical, what is the maximum height of the swing? Assume the masses of the chains are negligible.
How far along the incline does the object travel before coming to rest and then sliding back down?A spring with k = 40.0 N/m is at the base of a frictionless 30.0° inclined plane. A 0.50 kg object is pressed against the spring, compressing it 0.20 m from its equilibrium position. The object is
The particle has a total mechanical energy of −100 J. At time t = 0, the particle is located at x = 8.0 cm and is moving to the left. (a) What is the particle’s potential energy at t = 0? What is its kinetic energy at this time? (b) What are the particle’s total, potential, and
Answer the questions in Problem 121 for a particle with total mechanical energy +100 J initially moving to the left at x = 15.0 cm.The graph describes the potential energy as a function of position. U (I) 4 6 8 10 12 14 x (cm) -200 -400 -600 2.
(a) Use dimensional analysis to show that the electric power output of a wind turbine is proportional to the cube of the wind speed. The relevant quantities on which the power can depend are the length L of the rotor blades, the density p of air (SI units kg/m3), and the wind speed v. (b) One
Show that U = −2K for any gravitational circular orbit.
Rank the final speeds of the three rocks.Three rocks are thrown from a cliff with the same initial speeds but in different directions: rock A is thrown straight down, rock B is tossed straight up, and rock C is thrown horizontally. Ignore air resistance. We are interested in comparing the speeds of
Two blocks of masses m1 and m2, resting on frictionless inclined planes, are connected by a massless rope passing over an ideal pulley. Angle φ = 45.0° and angle θ = 36.9°; mass m1 is 6.00 kg and mass m2 is 4.00 kg. (a) Using energy conservation, find how fast the blocks are moving after
A packing carton slides down an inclined plane of angle 30.0° and of incline length 2.0 m. (a) If the initial speed of the carton is 4.0 m/s directed down the incline, what is the speed at the bottom? Ignore friction. (b) How long does it take the carton to slide down the incline?
If the initial speed is 6.0 m/s and the vertical drop is 18.0 m, find the final speeds of the three rocks.Three rocks are thrown from a cliff with the same initial speeds but in different directions: rock A is thrown straight down, rock B is tossed straight up, and rock C is thrown horizontally.
Compare two methods of comparing or calculating the final speeds: using constant-acceleration kinematics versus using energy. Which is easier? Why?
A pendulum bob hung from a string of length L is released from height h above the bottom of its swing. The pendulum’s swing is interrupted by a horizontal peg at height r above the bottom of the pendulum’s swing (point B). After the string hits the peg, the bob swings around in a circular arc
A pendulum consists of a bob of mass m attached to the end of a cord of length L. The pendulum is released from a point at a height of L/2 above the lowest point of the swing. What is the tension in the cord as the bob passes the lowest point?
A block is released from rest and slides down an incline. The coefficient of sliding friction is 0.38, and the angle of inclination is 60.0°. (a) Use energy considerations to find how fast the block is sliding after it has traveled a distance of 30.0 cm along the incline. (b) Solve the
Two particles A and B of equal mass are located at some distance from each other. Particle A is at rest while B moves away from A at speed v. What happens to the center of mass of the system of two particles?(a) It does not move.(b) It moves with a speed v away from A.(c) It moves with a speed v
A ball of mass m with initial speed v collides with another ball of mass M, initially at rest. After the collision the two balls stick together, moving with speed V. The ratio of the final speed V to the initial speed v is V/v = (а) M М + m M + m M m (с) М +т (d) М+m (е) M V M+m (f) m V M + m
An object of mass m drops from rest a little above Earth's surface for a time t. Ignore air resistance. After time t the magnitude of its momentum is (a) mgt2 mgt (c) mg vt (d) Vmgt (e) mgt
An object at rest suddenly explodes into three parts of equal mass. Two of the parts move away at right angles to each other and with equal speeds v. What is the velocity of the third part just after the explosion?(a) Direction of vector 1 and magnitude 2v(b) Direction of vector 2 and magnitude
Two uniform spheres with equal mass per unit volume are in contact with one another. The mass of sphere A is five times that of sphere B. The center of mass of the system is(a) At the point where A and B touch.(b) Inside sphere B somewhere on the line joining the centers of A and B.(c) Inside
A 3.0 kg object is initially at rest. It then receives an impulse of magnitude 15 N·s. After the impulse, the object has(a) A speed of 45 m/s.(b) A momentum of magnitude 5.0 kg·m/s.(c) A speed of 7.5 m/s.(d) A momentum of magnitude 15 kg·m/s.
Which graph shows the acceleration ay of the ball as a function of time?Refer to a situation in which a golf ball is projected straight upward in the +y-direction. Ignore air resistance. The answer choices are found in the figures. (a) (b) (c) (d) (f)
Which graph shows the momentum py of the ball as a function of time?Refer to a situation in which a golf ball is projected straight upward in the +y-direction. Ignore air resistance. The answer choices are found in the figures. (a) (b) (c) (d) (f)
At t = 0, six birds are flying south at 10 m/s. Their masses and their velocities at a later time are:(a) 200 g, 10 m/s north at t = 30 s(b) 200 g, 10 m/s east at t = 30 s(c) 200 g, 20 m/s north at t = 60 s(d) 400 g, 20 m/s north at t = 60 s(e) 400 g, 20 m/s south at t = 10 s(f) 400 g, 30 m/s west
Which graph shows the vertical position y of the ball as a function of time?Refer to a situation in which a golf ball is projected straight upward in the +y-direction. Ignore air resistance. The answer choices are found in the figures. (a) (b) (c) (d) (f)
Which graph shows the total energy of the ball as a function of time?Refer to a situation in which a golf ball is projected straight upward in the +y-direction. Ignore air resistance. The answer choices are found in the figures. (a) (b) (c) (d) (f)
Dynamite is being used to blast through rock to build a road. After one explosion, the masses and kinetic energies of several fragments of rock thrown up into the air are:(a) 8 kg, 400 J(b) 2 kg, 1600 J(c) 4 kg, 1600 J(d) 16 kg, 100 J(e) 1 kg, 1600 JRank the fragments in order of the magnitude of
Which graph shows the potential energy of the ball as a function of time?Refer to a situation in which a golf ball is projected straight upward in the +y-direction. Ignore air resistance. The answer choices are found in the figures. (a) (b) (c) (d) (f)
Which graph shows the kinetic energy of the ball as a function of time?Refer to a situation in which a golf ball is projected straight upward in the +y-direction. Ignore air resistance. The answer choices are found in the figures. (a) (b) (c) (d) (f)
Five cars are traveling on a highway. Their masses and initial speeds are:(a) 1500 kg, 30 m/s(b) 1500 kg, 20 m/s(c) 1000 kg, 30 m/s(d) 1000 kg, 20 m/s(e) 2000 kg, 40 m/sThe cars use the same braking force to slow down and stop. Rank the cars in order of the time it takes them to stop, from smallest
A bird (mass 31 g) is flying at 11.1 m/s when it flies into a glass window and bounces off at a speed of 4.1 m/s. The bird is in contact with the glass for 0.071 s. What is the average force on the bird during the collision?
A frog is sitting on a lily pad when it sees a delicious fly. He darts out his tongue at a speed of 3.7 m/s to catch the fly. The tongue has a mass of 0.41 g, and the rest of the frog plus the lily pad have a mass of 12.5 g. What is the recoil speed of the frog and lily pad? Ignore drag forces on
Diana is standing on a raft of mass 100.0 kg that is floating on a still lake. She decides to walk the length of the raft. If Diana's mass is 55 kg and she walks with a velocity of 0.91 m/s with respect to the shore, how fast and in what direction does the raft move while Diana is walking? Assume
Women often experience back pain when they are pregnant. Suppose a woman's mass before pregnancy is 68 kg and her center of mass when standing is located directly above the hips. By the thirty-fourth week of pregnancy, she has gained 8.0 kg (the combined mass of the fetus, the placenta, and the

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