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physics
schaums outline of college physics

Questions and Answers of Schaums Outline Of College Physics

What is the wavelength of the least energetic photon that can result in photoemission from a iron target?
A block moves up a 30° incline under the action of applied forces, three of which are shown in Fig. 6-2. is horizontal and of magnitude 40 N. is normal to the plane and of magnitude 20 N. is
A 40 000-kg freight car is coasting at a speed of 5.0 m/s along a straight level track when it strikes a 30 000-kg stationary freight car and couples to it. What will be their combined speed after
An empty 15 000-kg coal car is coasting on a level track at 5.00 m/s. Suddenly 5000 kg of coal is dumped into it from directly above it. The coal initially has zero horizontal velocity with respect
Sand drops at a rate of 2000 kg/min from the bottom of a stationary hopper onto a belt conveyer moving horizontally at 250 m/min. Determine the force needed to drive the conveyer, neglecting friction.
Two bodies of masses 8 kg and 4 kg move along the x-axis in opposite directions with velocities of 11 m/s—POSITIVE XDIRECTION and 7 m/s—NEGATIVE X-DIRECTION, respectively. They collide and stick
Repeat Problem 10.11 using energy considerations.Problem 10.11As shown in Fig. 10-3, a mass m = 400 g hangs from the rim of a frictionless pulley of radius r = 15 cm. When released from rest, the
A 6.0-kg bowling ball (I = 2Mr2/5) starts from rest and rolls, without sliding, down a gradual slope until it reaches a point 80 cm lower than its starting point. How fast is it then moving? Ignore
Find the ratio of the intensities of two sounds if one is 8.0 dB louder than the other.
As illustrated in Fig. 9-9, a thin cylindrical shell of inner radius r rotates horizontally, about a vertical axis, at an angular speed ω. A wooden block rests against the inner surface and rotates
A curve of radius 30 m is to be banked so that a car may make the turn at a speed of 13 m/s without depending on friction. What must be the slope of the roadway (the banking angle)?
Given that a disk revolves through 81.681 turns, how many radians is that?
A wheel spins around exactly 6 times. How many radians does that correspond to?
Convert (a) 50.0 rev to radians, (b) 48π rad to revolutions, (c) 72.0 rps to rad/s, (d) 1.50 × 103 rpm to rad/s, (e) 22.0 rad/s to rpm, (f) 2.000 rad/s to deg/s.
A 1200-kg gun mounted on wheels shoots an 8.00-kg projectile with a muzzle velocity of 600 m/s at an angle of 30 0° above the horizontal. Find the horizontal recoil speed of the gun.
Three masses are placed on the y-axis: 2 kg at y = 300 cm, 6 kg at y = 150 cm, and 4 kg at y = −75 cm. Find their center of mass.
Four masses are positioned in the xy-plane as follows: 300 g at (x = 0, y = 2.0 m), 500 g at (−2 0 m, −3.0 m), 700 g at (50 cm, 30 cm), and 900 g at (−80 cm, 150 cm). Find their center of mass.
A ball of mass m sits at the coordinate origin when it explodes into two pieces that shoot along the x-axis in opposite directions. When one of the pieces (which has mass 0.270m) is at x = 70 cm,
A ball of mass m at rest at the coordinate origin explodes into three equal pieces. At some instant, one piece is on the x-axis at x = 40 cm and another is at x = 20 cm, y = −60 cm. Where is the
A 2.0-kg block of wood rests on a long tabletop. A 5.0-g bullet moving horizontally with a speed of 150 m/s is shot into the block and lodges in it. The block then slides 270 cm along the table and
A 2.0-kg block of wood rests on a tabletop. A 7.0-g bullet is shot straight up through a hole in the table beneath the block. The bullet lodges in the block, and the block flies 25 cm above the
A 6000-kg truck traveling north at 5.0 m/s collides with a 4000-kg truck moving west at 15 m/s. If the two trucks remain locked together after impact, with what speed and in what direction do they
A 90-g ball moving at 100 cm/s collides head-on with a stationary 10-g ball. Determine the speed of each after impact if (a) They stick together, (b) The collision is perfectly elastic, (c) The
A 7.00-g bullet moving horizontally at 200 m/s strikes and passes through a 150-g tin can sitting on a post. Just after impact, the can has a horizontal speed of 180 cm/s. What was the bullet’s
What average resisting force must act on a 3.0-kg mass to reduce its speed from 65 cm/s to 15 cm/s in 0.20 s?
Two balls of equal mass, moving with speeds of 3 m/s, collide head-on. Find the speed of each after impact if (a) They stick together, (b) The collision is perfectly elastic, (c) The coefficient
Two identical balls undergo a collision at the origin of coordinates. Before collision their scalar velocity components are (ux = 40 cm/s, uy = 0) and (ux = −30 cm/s, uy = 20 cm/s). After
A ball is dropped onto a horizontal floor. It reaches a height of 144 cm on the first bounce, and 81 cm on the second bounce. Find (a) The coefficient of restitution between the ball and floor
Two identical balls traveling parallel to the x-axis have speeds of 30 cm/s and are oppositely directed. They collide off center perfectly elastically. After the collision, one ball is moving at an
Express each of the following in terms of other angular measures: (a) 28°, (b) rev/s, (c) 2.18 rad/s². 4
(a) What minimum thrust must the engines of a 2.0 × 105 kg rocket have if the rocket is to be able to slowly rise from the Earth when aimed straight upward? (b) If the engines eject gas at the rate
The bob of a pendulum 90 cm long swings through a 15-cm arc, as shown in Fig. 9-3. Find the angle θ, in radians and in degrees, through which it swings. 1 90 cm 1 15 cm 1 1 1 Fig. 9-3
A belt passes over a wheel of radius 25 cm, as shown in Fig. 9-4. If a point on the belt has a speed of 5.0 m/s, how fast is the wheel turning? 25 cm Fig. 9-4 5.0 m/s
A fan turns at a rate of 900 rpm (i.e., rev/min). (a) Find the angular speed of any point on one of the fan blades. (b) Find the tangential speed of the tip of a blade if the distance from the
A wheel of 40-cm radius rotates on a stationary central axle. It is uniformly sped up from rest to 900 rpm in a time of 20 s. Find (a) The constant angular acceleration of the wheel and (b) The
A pulley having a 5.0-cm radius is turning at 30 rev/s about a central axis. It is slowed down uniformly to 20 rev/s in 2.0 s. Calculate (a) The angular acceleration of the pulley, (b) The angle
A car has wheels each with a radius of 30 cm. It starts from rest and (without slipping) accelerates uniformly to a speed of 15 m/s in a time of 8.0 s. Find the angular acceleration of its wheels and
A spin-drier revolving at 900 rpm slows down uniformly to 300 rpm while making 50 revolutions. Find (a) The angular acceleration and (b) The time required to turn through these 50 revolutions.
A 200-g object is tied to the end of a cord and whirled in a horizontal circle of radius 1.20 m at a constant 3.0 rev/s. Assume that the cord is horizontal—that is, that gravity can be neglected.
What is the maximum speed at which a car can round a curve of 25-m radius on a level road if the coefficient of static friction between the tires and road is 0.80?
As depicted in Fig. 9-5, a ball B is fastened to one end of a 24-cm string, and the other end is held fixed at point O. The ball whirls in the horizontal circle shown. Find the speed of the ball in
As drawn in Fig. 9-6, a 20-g bead slides from rest at A along a frictionless wire. If h is 25 cm and R is 5.0 cm, how large a force must the wire exert on the bead when it is at (a) Point-B and (b)
A spaceship orbits the Moon at a height of 20 000 m. Assuming it to be subject only to the gravitational pull of the Moon, find its speed and the time it takes for one orbit. For the Moon, mm = 7.34
As illustrated in Fig. 9-7, a 0.90-kg body attached to a cord is whirled in a vertical circle of radius 2.50 m. (a) What minimum speed υt must the body have at the top of the circle so as not to
Express 40.0 deg/s in (a) Rev/s, (b) Rev/min, and (c) Rad/s.
A 2.00-m-long steel rod, pivoted at one end, swings in a vertical plane such that its lower end sweeps out an arc 10.0 cm long. Determine the angle, in degrees and radians, through which the rod
A pendulum swings through an angle of 20.0°, while its bob sweeps along an arc 100 cm long. Determine the length of the pendulum.
A pebble is stuck in the tread of a tire having a diameter of 80.0 cm. The tire spins through 23.5 rotations in 75.0 s. How far does the pebble travel in that time?
A sphere rotates about a fixed axis 10.0 times in 10.0 s. What is its angular speed?
A flywheel turns at 480 rpm. Compute the angular speed at any point on the wheel and the tangential speed 30.0 cm from the center.
It is desired that the outer edge of a grinding wheel 9.0 cm in radius moves at a constant rate of 6.0 m/s. (a) Determine the angular speed of the wheel. (b) What length of thin thread could be
Through how many radians does a point fixed on the Earth’s surface (anywhere off the poles) move in 6.00 h as a result of the Earth’s rotation? What is the linear speed of a point on the equator?
A wheel 25.0 cm in radius turning at 120 rpm uniformly increases its frequency to 660 rpm in 9.00 s. Find (a) The constant angular acceleration in rad/s2, and (b) The tangential acceleration of a
The angular speed of a disk decreases uniformly from 12.00 to 4.00 rad/s in 16.0 s. Compute the angular acceleration and the number of revolutions made in this time.
A car wheel 30 cm in radius is turning at a rate of 8.0 rev/s when the car begins to slow uniformly to rest in a time of 14 s. Find the number of revolutions made by the wheel and the distance the
A wheel revolving at 6.00 rev/s has an angular acceleration of 4.00 rad/s2. Find the number of turns the wheel must make to reach 26.0 rev/s, and the time required.
A thin string wound on the rim of a wheel 20 cm in diameter is pulled out at a rate of 75 cm/s causing the wheel to rotate about its central axis. Through how many revolutions will the wheel have
A mass of 1.5 kg out in space moves in a circle of radius 25 cm at a constant 2.0 rev/s. Calculate (a) The tangential speed, (b) The acceleration, and (c) The required centripetal force for the
(a) Compute the radial acceleration of a point at the equator of the Earth. (b) Repeat for the North Pole of the Earth. Take the radius of the Earth to be 6.37 × 106 m.
A mass is whirling in a circle at the end of a cable, out in the far reaches of space. If its speed is doubled, all else kept constant, what happens to the tension in the cable?
A mass is whirling in a circle at the end of a cable, out in the far reaches of space. If the length of the cable is halved, all else kept constant, what happens to the tension in it?
Imagine a weightless 2.00-kg mass far out in space. Suppose it is whirling at the end of a string in a 2.00-m-diameter circle at a speed of 4.00 m/s. Compute the tension in the string.
The old Bohr model of the hydrogen atom has a single electron circling the nucleus at a speed of roughly 2.19 × 106 m/s. The orbital radius is about 5.31 × 10−11 m. Find the approximate
With the previous problem in mind, what is the centripetal force on the electron in the Bohr model of the hydrogen atom?Previous problemThe old Bohr model of the hydrogen atom has a single electron
An Earth satellite in a circular orbit is at an altitude of 3185.5 km. The acceleration due to gravity at that distance is 4.36 m/s2, and the mean radius of the Earth is 6371 km. (a) What is the
A car moving at 5.0 m/s tries to round a corner in a circular arc of 8.0 m radius. The roadway is flat. How large must the coefficient of friction be between wheels and roadway if the car is not to
A box rests at a point 2.0 m from the central vertical axis of a horizontal circular platform that is capable of revolving in the horizontal plane. The coefficient of static friction between box and
A stone rests in a pail which is tied to a rope and whirled in a vertical circle of radius 60 cm. What is the least speed the stone must have as it rounds the top of the circle (where the pail is
A pendulum 80.0 cm long is pulled to the side so that its bob is raised 20.0 cm from its lowest position, and is then released. As the 50.0 g bob moves through its lowest position, (a) What is its
Refer back to Fig. 9-6. How large must h be (in terms of R) if the frictionless wire is to exert no force on the bead as it passes through point-B? Assume the bead is released from rest at A.
If, in Fig. 9-6 and in Problem 9.33, h = 2.5R, how large a force will the 50-g bead exert on the wire as it passes through point-C?Problem 9.33A mass of 1.5 kg out in space moves in a circle of
A satellite orbits the Earth at a height of 200 km in a circle of radius 6570 km. Find the linear speed of the satellite and the time taken to complete one revolution. Assume the Earth’s mass is
The human body can safely tolerate a vertical acceleration 9.00 times that due to gravity. With what minimum radius of curvature may a pilot safely turn the plane upward at the end of a dive if the
A 60.0-kg pilot in a glider traveling at 40.0 m/s wishes to turn an inside vertical loop such that his body exerts a force of 350 N on the seat when the glider is at the top of the loop. What must be
A roller coaster is just barely moving as it goes over the top of the hill. It rolls nearly without friction down the hill and then up over a lower hill that has a radius of curvature of 15 m. How
Suppose the Earth is a perfect sphere with R = 6370 km. If a person weighs exactly 600.0 N at the North Pole, how much will the person weigh at the equator?
A mass m hangs at the end of a pendulum of length L, which is released at an angle of 40.0° to the vertical. Find the tension in the pendulum cord when it makes an angle of 20.0° to the vertical.
A small sphere of mass 2.0 kg revolves at the end of a 1.2-m-long string in a horizontal plane around a vertical axis. Determine its moment of inertia with respect to that axis.
What is the moment of inertia of a homogeneous solid sphere of mass 10 kg and radius 20 cm about an axis passing through its center?
A thin cylindrical hoop having a diameter of 1.0 m and a mass of 400 g, rolls down the street. What is the hoop’s moment of inertia about its central axis of rotation?
As shown in Fig. 10-2, a constant force of 40 N is applied tangentially to the rim of a wheel having a 20-cm radius. The wheel, which can rotate frictionlessly, has a moment of inertia of 30 kg ·
A wheel of mass 6.0 kg and radius of gyration 40 cm is rotating at 300 rpm. Find its moment of inertia and its rotational KE.
Rework Problem 10.8 using the relation between work and energy.Problem 10.8The wheel on a grinder is a homogeneous 0.90-kg disk with a 8.0- cm radius. It coasts uniformly to rest from 1400 rpm in a
The wheel on a grinder is a homogeneous 0.90-kg disk with a 8.0- cm radius. It coasts uniformly to rest from 1400 rpm in a time of 35 s. How large a frictional torque slows its motion?
An airplane propeller has a mass of 70 kg and a radius of gyration of 75 cm. Find its moment of inertia. How large a torque is needed to give it an angular acceleration of 4.0 rev/s2?
A 500-g uniform sphere of 7.0-cm radius spins frictionlessly at 30 rev/s on an axis through its center. Find its (a) KEr, (b) Angular momentum, and (c) Radius of gyration.
As shown in Fig. 10-3, a mass m = 400 g hangs from the rim of a frictionless pulley of radius r = 15 cm. When released from rest, the mass falls 2.0 m in 6.5 s. Find the moment of inertia of the
The moment of inertia of the frictionless pulley system illustrated in Fig. 10-4 is I = 1.70 kg · m2, where r1 = 50 cm and r2 = 20 cm. Find the angular acceleration of the pulley system and the
Use energy methods to find how fast the 2.0-kg mass in Fig. 10-4 is descending after it has fallen 1.5 m from rest. Use the same values for I, r1, and r2 as in Problem 10.13.Problem 10.13The moment
A flywheel (i.e., a massive disk capable of rotating about its central axis) has a moment of inertia of 3.8 kg · m2. What constant torque is required to increase the wheel’s frequency from 2.0
The driving wheel of a belt drive attached directly to an electric motor (as depicted in Fig. 10-5) has a diameter of 38 cm and operates at 1200 rpm. The motor turns the wheel, which moves the
A motor runs at 20 rev/s and supplies a torque of 75 N · m. What horsepower is it delivering?
As illustrated in Fig. 10-6, a uniform solid sphere rolls on a horizontal surface at 20 m/s and then rolls up the incline. If friction losses are negligible, what will be the value of h where the
A 0.75-hp motor acts for 8.0 s on an initially nonrotating wheel having a moment of inertia 2.0 kg · m2. Find the angular speed developed in the wheel, assuming no losses.
Starting from rest, a hoop with a 20-cm radius rolls down a hill to a place 5.0 m below its starting point. How fast is it rotating as it rolls through that point?
Find the moment of inertia of the four masses shown in Fig. 10-7 relative to an axis perpendicular to the page and extending (a) Through point-A and (b) Through point-B. 2.0 kg 5.0 kg B -X- 250
As a solid disk rolls up and over the top of a hill on a track, its speed slows to 80 cm/s. It subsequently descends down the other side of the hill. If friction losses are negligible, how fast is
The uniform circular disk in Fig. 10-8 has a mass of 6.5 kg and a diameter of 80 cm. Compute its moment of inertia about an axis perpendicular(a) Through G and (b) Through A. +A h = 22 cm r = 40
As illustrated in Fig. 10-9, a thin uniform rod AB of mass M and length L is hinged at end A to the level floor. It originally stood vertically. If allowed to fall to the floor as shown, with what
A horizontal disk with a moment of inertia I1 is rotating freely at an angular speed of ω1 when a second, nonrotating disk with a moment of inertia I2 is dropped on it (Fig. 10-11). The two then

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