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physics
schaums outline of college physics

Questions and Answers of Schaums Outline Of College Physics

A 50-N box is slid straight across the floor at constant speed by a force of 25 N, as depicted in Fig. 4-3(a). (a) How large a friction force impedes the motion of the box? (b) How large is the
Find the tensions in the ropes illustrated in Fig. 4-4(a) if the supported body weighs 600 N. FTA 70° FTs Fri 30% 30% 600 N (a) 70° F12 B
Each of the objects in Fig. 4-5 is in equilibrium. Find the normal force FN in each case. F = 500 N (a) 200 N 30.0⁰ 200 N 30.0⁰ F-150 N FN Fig. 4-5 Fw=200 N (c)
For the situations of Problem 4.5, find the coefficient of kinetic friction if the object is moving with constant speed. Round off your answers to two significant figures.Problem 4.5Each of the
Suppose that in Fig. 4-5(c) the block is at rest. The angle of the incline is slowly increased. At an angle θ = 42°, the block begins to slide. What is the coefficient of static friction between
Pulled by the 8.0-N load shown in Fig. 4-6(a), the 20-N block slides to the right at a constant velocity. Find μk between the block and the table. Assume the pulley to be both light and
A person stands on a scale, which then reads 600 N. (a) What force is exerted on the scale by the person? (b) What force is exerted on the person by the scale? (c) What would happen to the reading
Two evenly matched teams of youngsters are having a tug-of-war. At a given moment each team pulls with a force of 2000 N. What is the tension in the rope at that instant?
A rope is tied to a hook fastened to a brick wall. Someone then pulls horizontally on the rope with a force of 400 N, keeping the rope perpendicular to the wall. What is the value of the force on the
An essentially weightless pulley that is effectively without friction is attached to a ceiling hook. A very lightweight rope is passed over the pulley and hangs down on both sides. A 200.0-N load is
An essentially weightless rope is slung over a frictionless lightweight pulley that is attached to a hook in the ceiling. An object weighing 500 N is hung from one end, and a student holds the other
An essentially weightless rope is slung over a lightweight frictionless pulley that is attached to a ceiling. A 20.0-kg mass is hung from one end of the rope, and a student holds the other end,
The load in Fig. 4-7 is hanging at rest. Take the ropes to all be vertical and the pulleys to be weightless and frictionless. (a) How many segments of rope support the combination of the lower
A 2.00-kg block rests on a frictionless air table. Two horizontal forces act on it; one is 500 N due east, and the other is 1200 N due south. What third force will keep the block from accelerating?
A 600-N load hangs motionlessly in Fig. 4-8. Assume the ropes to all be vertical and the pulleys to be weightless and frictionless. (a) What is the tension in the bottom hook attached, via a ring,
For the situation shown in Fig. 4-9, find the values of FT1 and FT2 if the hanging object’s weight is 600 N. FTI 22 600 N 50.0° Fig. 4-9 20 F12
In Fig. 4-10, the pulleys are frictionless and weightless and the system hangs in equilibrium. If FW3, the weight of the hanging object on the right, is 200 N, what are the values of FW1 and FW2?
The following coplanar forces pull on a ring: 200 N at 30.0°, 500 N at 80.0°, 300 N at 240°, and an unknown force. Find the magnitude and direction of the unknown force if the ring is in
Suppose FW1 in Fig. 4-10 is 500 N. Find the values of FW2 and FW3 if the system is to hang in equilibrium as shown. Fw2 50.0° 35.0% Fig. 4-10 Fw1 Fw3
If in Fig. 4-11 the friction between the block and the incline is negligible, how much must the object on the right weigh if the 200-N block is to remain at rest? 200 N 35.0⁰ Fig. 4-11 Fw
The system in Fig. 4-11 remains at rest when FW = 220 N. What are the magnitude and direction of the friction force on the 200-N block? 200 N 35.0⁰ Fig. 4-11 Fw
Find the normal force acting on the block in each of the equilibrium situations shown in Fig. 4-12. SON (@) 20 N 55°) 60 N (b) Fig. 4-12 70 N 40 40 60 N (c)
The block depicted Fig. 4-12(a) slides with constant speed under the action of the force shown. (a) How large is the retarding friction force? (b) What is the coefficient of kinetic friction
The block shown in Fig. 4-12(b) slides at a constant speed down the incline. (a) How large is the friction force that opposes its motion?(b) What is the coefficient of sliding (kinetic) friction
The block in Fig. 4-12(c) just begins to slide up the incline when the pushing force shown is increased to 70 N. (a) What is the maximum static friction force on it? (b) What is the value of the
If FW = 40 N in the equilibrium situation shown in Fig. 4-13, find FT1 and FT2. 60% FTV 70% Fw Fr2 Fig. 4-13
Refer to the equilibrium situation shown in Fig. 4-13. The cords are strong enough to withstand a maximum tension of 80 N. What is the largest value of FW that they can support as shown?
The hanging object in Fig. 4-14 is in equilibrium and has a weight FW = 80 N. Find FT1, FT2, FT3, and FT4. Give all answers to two significant figures. Fr3 FTI 55° 25% Fr2 Fw Fig. 4-14 FT4
The pulleys shown in Fig. 4-15 have negligible weight and friction. The long rope has one section that is at 40°; assume its other segments are vertical. What is the value of FW if the system is at
In Fig. 4-16, the system is at rest. (a) What is the maximum value that FW can have if the friction force on the 40-N block cannot exceed 12.0 N? (b) What is the coefficient of static friction
The block in Fig. 4-16 is just on the verge of slipping. If FW = 8.0 N, what is the coefficient of static friction between the block and tabletop? 40 N Cx Fw Fig. 4-16 30°
Imagine a bar of steel 80 cm long pivoted horizontally at its left end, as depicted in Fig. 5-2. Find the torque about axis-A (which is perpendicular to the page) due to each of the forces shown
A uniform metal beam of length L weighs 200 N and holds a 450-N object as shown in Fig. 5-3. Find the magnitudes of the forces exerted on the beam by the two supports at its ends. Assume the lengths
Where must a 0.80-kN object be hung on a uniform, horizontal, rigid 100-N pole so that a girl pushing up at one end supports onethird as much as a woman pushing up at the other end?
A uniform, horizontal, 100-N pipe is used as a lever, as shown in Fig. 5-4. Where must the fulcrum (the support point) be placed if a 500-N weight at one end is to balance a 200-N weight at the other
As indicated in Fig. 5-10, hinges A and B hold a uniform, 400-N door in place. If the upper hinge happens to support the entire weight of the door, find the forces exerted on the door at both hinges.
The right-angle rule (or square) depicted in Fig. 5-7 hangs at rest from a peg as shown. It is made of a uniform metal sheet. One arm is L cm long, while the other is 2L cm long. Find (to two
A ladder leans against a smooth wall, as can be seen in Fig. 5-11. (By a “smooth” wall, we mean that the wall exerts on the ladder only a force that is perpendicular to the wall. There is no
For the situation drawn in Fig. 5-12(a), find FT1, FT2, and FT3. The boom is uniform and weighs 800 N. Fr3 L/2 20.0° (a) 50.0⁰ L/2 800 N F12 Fri 2000 N
Consider the situation illustrated in Fig. 5-8(a). The uniform 0.60- kN beam is hinged at P. Find the tension in the tie rope and the components of the reaction force exerted by the hinge on the
A uniform, 0.40-kN boom is supported as shown in Fig. 5-9(a). Find the tension in the tie rope and the force exerted on the boom by the pin at P. 50° #/7€ (a) +/7 2000 N
A uniform, horizontal, 0.20-kN board of length L has two objects hanging from it with weights of 300 N at exactly L/3 from one end and 400 N at exactly 3L/4 from the same end. What single additional
A steering wheel has a diameter of 40.0 cm. A force of 30.0 N is applied to its rim on the right, tangent to the wheel and in the plane of it. Determine the size of the resulting torque.
A wrench is 50.0 cm long. It is placed on a nut, and a force of 100 N is applied perpendicular to the wrench handle. This force is in the plane of the wrench and nut, at a distance of 30.0 cm from
A horizontal essentially weightless lever is pivoted so it can rotate freely in a vertical plane. A downward force of 30.0 N is applied perpendicularly to the lever at a point 25.0 cm from and to the
A horizontal essentially weightless lever is pivoted at its center so it can rotate freely in a vertical plane. A downward force of 80.0 N is applied perpendicularly to the lever at a point 35.0 cm
A seesaw is 5.00 m long with a fulcrum at its center. The uniform plank is balanced horizontally when a 40.0-kg kid sits at the very end on the right and an 80.0-kg kid sits somewhere on the left.
A force of 1000 N is applied downward at the right end of a 1.50-m long, essentially weightless horizontal crowbar. The bar is pivoted on a rock 1.25 m from the right end. What is the maximum amount
An essentially weightless shovel is 120 cm long. Someone holds it horizontally, supporting it with his left hand at the shovel’s center of gravity and his right hand 80.0 cm to the right of the
As depicted in Fig. 5-13, two people sit in a car that weighs 8000 N. The person in front weighs 700 N, while the one in the back weighs 900 N. Call L the distance between the front and back wheels.
An 800-N painter stands on a uniform horizontal 100-N plank resting on the rungs of two separated stepladders. The plank is 4.00 m long, and it is supported at its very ends (not a very safe
Two people, one at each end of a uniform beam that weighs 400 N, hold the beam at an angle of 25.0° to the horizontal. How large a vertical force must each person exert on the beam?
Shown in Fig. 5-14 is a uniform 1600-N beam hinged at one end and held by a horizontal tie rope at the other. Determine the tension FT in the rope and the force components at the hinge 40° Fig.
Repeat Problem 5.13 if a 140-N child sits on the beam at a point one-fourth of the way along the beam from its lower end.Problem 5.13A wrench is 50.0 cm long. It is placed on a nut, and a force of
The uniform horizontal beam illustrated in Fig. 5-15 weighs 500 N and supports a 700-N load. Find the tension in the tie rope and the reaction force of the hinge on the beam. 35° 0.40 L 0.60 L Fig.
The arm drawn in Fig. 5-16 supports a 4.0-kg sphere. The mass of the hand and forearm together is 3.0 kg and its weight acts at a point 15 cm from the elbow. Assuming all the forces are vertical,
The mobile depicted in Fig. 5-17 hangs in equilibrium. It consists of objects held by vertical strings. Object-3 weighs 1.40 N, while each of the identical uniform horizontal bars weighs 0.50 N.
The uniform bar in Fig. 5-18 weighs 40 N and is subjected to the forces shown. Find the magnitude, location, and direction of the force needed to keep the bar in equilibrium. 50 N 0.20 L 60 N 0.60
The hinges of a uniform door which weighs 200 N are 2.5 m apart. One hinge is a distance d from the top of the door, while the other is a distance d from the bottom. The door is 1.0 m wide. The
The horizontal, uniform, 120-N board drawn in Fig. 5-19 is supported by two ropes as shown. A 0.40-kN weight is suspended one-quarter of the way from the left end. Find FT1, FT2, and the angle θ
The foot of a ladder rests against a wall, and its top is held by a horizontal tie rope, as indicated in Fig. 5-20. The ladder weighs 100 N, and its center of gravity is 0.40 of its length from the
A truss is made by hinging two uniform, 150-N rafters as depicted in Fig. 5-21. They rest on an essentially frictionless floor and are held together by a horizontal tie rope. A 500-N load is held at
A 900-N lawn roller is to be pulled over a 5.0-cm high curb (see Fig. 5-22). The radius of the roller is 25 cm. What minimum pulling force is needed if the angle θ made by the handle is (a) 0°
In Fig. 5-23, the uniform horizontal beam weighs 500 N. If the tie rope can support 1800 N, what is the maximum value the load FW can have? 0.70 L Fig. 5-23 30° 0.30 L Fw
The beam in Fig. 5-24 has negligible weight. If the system hangs in equilibrium when FW1 = 500 N, what is the value of FW2? 20° 0.70 L 0.30 L Fw2 30° Fig. 5-24 40° Fwi
Repeat Problem 5.26, but now find FW1 if FW2 is 500 N. Here the beam weighs 300 N and is uniform.Problem 5.26The mobile depicted in Fig. 5-17 hangs in equilibrium. It consists of objects held by
An object is subjected to the forces shown in Fig. 5-25. What single force F applied at a point on the x-axis will balance these forces leaving the object motionless? (First find its components, and
The solid uniform disk of radius b illustrated in Fig. 5-26 can turn freely on an axle through its center. A hole of diameter D is drilled through the disk; its center is a distance r from the axle.
In Fig. 6-1, assume that the object is being pulled in a straight line along the ground by a 75-N force directed 28° above the horizontal. How much work does the force do in pulling the object 8.0 m
A moving 300-g object slides unpushed 80 cm in a straight line along a horizontal tabletop. How much work is done in overcoming friction between the object and the table if the coefficient of kinetic
How much work is done against gravity in lifting a 3.0-kg object through a vertical distance of 40 cm?
How much work is done on an object by the force that supports it as the object is lowered at a constant speed through a vertical distance h? How much work does the gravitational force on the object
A narrowing ladder 3.0 m long weighing 200 N has its center of gravity 120 cm from the bottom. At its top end is a 50-N can of paint. Compute the work required to raise the ladder from being
Compute the work done against gravity by a pump that discharges 600 liters of fuel oil into a tank 20 m above the pump’s intake. One cubic centimeter of fuel oil has a mass of 0.82 g. One liter is
A 2.0-kg mass falls 400 cm. (a) How much work was done on it by the gravitational force? (b) How much PEG did it lose? (c) Given that work is the transfer of energy, where does that energy end up?
A force of 1.50 N acts on a 0.20-kg cart so as to uniformly accelerate it along a straight air track. The track and force are horizontal and in line. How fast is the cart going after acceleration
A 0.50-kg block slides across a tabletop with an initial velocity of 20 cm/s and comes to rest in a distance of 70 cm. Find the average friction force that retarded its motion.
A car going 15 m/s is brought to rest in a distance of 2.0 m as it strikes a pile of dirt. How large an average force is exerted by seatbelts on a 90-kg passenger as the car is stopped?
In an Atwood machine (see Problem 3.30), the two masses are 800 g and 700 g. The system is released from rest. How fast is the 800- g mass moving after it has fallen 120 cm?Problem 3.30A cord passing
A projectile is shot straight upward from the Earth with a speed of 20 m/s. Using energy considerations, how high is the projectile when its speed is 8.0 m/s? Ignore air friction.
Figure 6-3 shows a bead sliding on a wire. If friction forces are negligible and the bead has a speed of 200 cm/s at A, what will be its speed (a) At point-B? (b) At point-C? 80 cm Fig. 6-3 50 cm
Suppose the bead in Fig. 6-3 has a mass of 15 g and a speed of 2.0 m/s at A, and it stops as it reaches point-C. The length of the wire from A to C is 250 cm. How large an average friction force
A 1200-kg car is coasting down a 30° hill as shown in Fig. 6-4. At a time when the car’s speed is 12 m/s, the driver applies the brakes. What constant force F (parallel to the road) must result if
A ball at the end of a 180-cm-long string swings as a pendulum as shown in Fig. 6-5. The ball’s speed is 400 cm/s as it passes through its lowest position. (a) To what height h above this position
An advertisement claims that a certain 1200-kg car can accelerate from rest to a speed of 25 m/s in a time of 8.0 s. What average power must the motor develop to produce this acceleration? Give your
A 60 000-kg train is being dragged along a straight line up a 1.0 percent grade (i.e., the road rises 1.0 m for each 100 m traveled horizontally) by a steady drawbar pull of 3.0 kN parallel to the
An advertisement claims that a certain 1200-kg car can accelerate from rest to a speed of 25 m/s in a time of 8.0 s. What average power must the motor develop to produce this acceleration? Give your
A 0.25-hp motor is used to lift a load at the rate of 5.0 cm/s. How great a load can it raise at this constant speed?
A car travels along a road and its odometer readings are plotted against time in Fig. 1-9. Find the instantaneous speed of the car at points A and B. What is the car’s average speed? Distance
Change the speed 0.200 cm/s to units of kilometers per year. Use 365 days per year.
Rolling along across the machine shop at a constant speed of 4.25 m/s, a robot covers a distance of 17.0 m. How long does that journey take?
A student driving a car travels 10.0 km in 30.0 min. What was her average speed?
A toy train moves along a winding track at an average speed of 0.25 m/s. How far will it travel in 4.00 minutes?
What volume does 300 g of mercury occupy? The density of mercury is 13 600.
The specific gravity of cast iron is 7.20. Find its density and the mass of 60.0 cm3 of it.
The mass of a calibrated flask is 25.0 g when empty, 75.0 g when filled with water, and 88.0 g when filled with glycerin. Find the specific gravity of glycerin.
A calibrated flask has a mass of 30.0 g when empty, 81.0 g when filled with water, and 68.0 g when filled with an oil. Find the density of the oil.
A solid cube of aluminum is 2.00 cm on each edge. The density of aluminum is 2700 kg/m3. Find the mass of the cube.
What is the mass of 1 liter (1000 cm3) of cottonseed oil of density 926 kg/m3? How much does it weigh?
An electrolytic tin-plating process gives a tin coating that is 7.50 × 10-5 thick. How large an area can be coated with 0.500 kg of tin? The density of tin is 7300 kg/m3.

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