File Name: physics by example 200 problems and solutions .zip
Physics Questions On this page I put together a collection of physics questions to help you understand physics better. These questions are designed to challenge and inspire you to think about physics at a deeper level. In addition to being challenging, these questions are fun and interesting. This page is a good resource for students who want good quality problems to practice with when studying for tests and exams.
See solution Problem 2 Why do objects float in liquids denser than themselves? From these equations derive the equation for centripetal acceleration. See solution Problem 4 How come in free fall you feel weightless even though gravity is pulling down on you? See solution Problem 5 What is the difference between centripetal acceleration and centrifugal force? See solution Problem 6 What is the difference between energy and power?
See solution Problem 7 Two identical cars collide head on. See solution Problem 9 An archer pulls back 0. The arrow weighs 50 g. What is the velocity of the arrow immediately after release? See solution Problem 10 When a moving car encounters a patch of ice the brakes are applied. Why is it desirable to keep the wheels rolling on the ice without locking up? If an object is heavier the force of gravity is greater, but since it has greater mass the acceleration is the same, so it moves at the same speed if we neglect air resistance.
If there was no air resistance, a feather would fall at the same speed as an apple. Solution For Problem 2 If an object were completely immersed in a liquid denser than it, the resulting buoyant force would exceed the weight of the object. This is because the weight of the liquid displaced by the object is greater than the weight of the object since the liquid is denser.
As a result, the object cannot remain completely submerged and it floats. The scientific name for this phenomenon is Archimedes Principle. Solution For Problem 3 Without loss of generality, we only need to look at the equation for the x -position, since we know that centripetal acceleration points towards the center of the circle.
Solution For Problem 4 The reason you feel weightless is because there is no force pushing against you, since you are not in contact with anything. Gravity is pulling equally on all the particles in your body. This creates a sensation where no forces are acting on you and you feel weightless.
It would be the same sensation as if you were floating in space. Solution For Problem 5 Centripetal acceleration is the acceleration an object experiences as it travels a certain velocity along an arc. The centripetal acceleration points towards the center of the arc. Centrifugal force is the imaginary force an unrestrained object experiences as it moves around an arc.
This force acts opposite to the direction of centripetal acceleration. For example, if a car makes a sharp right turn the passengers would tend to slide in their seats away from the center of the turn, towards the left if they are not wearing their seat belts, that is. The passengers would feel as if they are experiencing a force. This is defined as centrifugal force.
Solution For Problem 6 Power is the rate of energy being generated or consumed. Solution For Problem 7 The answer is a. Since the collision is head on and each car is identical and traveling at the same speed, the force of impact experienced by each car is equal and opposite. Solution For Problem 8 When you swing a hammer you increase its kinetic energy, so that by the time it strikes the nail it imparts a large force which drives the nail into the wood.
The hammer is basically an energy reservoir to which you are adding energy during the course of the swing, and which is released all at once upon impact. This results in the impact force greatly exceeding the maximum force you can exert by just pushing on the nail. Solution For Problem 9 This can be solved using an energy method. We can solve this by equating the potential energy of the bow to the kinetic energy of the arrow.
The bow can be treated as a type of spring. The arrow can be treated as a particle since it is not rotating upon release. Static friction exists if the wheels keep rolling on the ice without locking up, resulting in maximum braking force. However, if the wheels lock up then kinetic friction takes over since there is relative slipping between wheel and ice. This reduces the braking force and the car takes longer to stop.
Anti-lock braking systems ABS on a vehicle prevent the wheels from locking up when the brakes are applied, thus minimizing the amount of time it takes for the vehicle to reach a complete stop. Also, by preventing the wheels from locking up you have greater control of the vehicle. You will likely have to take some time to work through them. These questions go beyond the typical problems you can expect to find in a physics textbook. Some of these physics questions make use of different concepts, so for the most part there is no single formula or set of equations that you can use to solve them.
These questions make use of concepts taught at the high school and college level mostly first year. It is recommended that you persist through these physics questions, even if you get stuck. It's not a race, so you can work through them at your own pace. The result is that you will be rewarded with a greater understanding of physics. Problem 1 A crank drive mechanism is illustrated below. A uniform linkage BC of length L connects a flywheel of radius r rotating about fixed point A to a piston at C that slides back and forth in a hollow shaft.
A variable torque T is applied to the flywheel such that it rotates at a constant angular velocity. Show that for one full rotation of the flywheel, energy is conserved for the entire system; consisting of flywheel, linkage, and piston assuming no friction. Note that gravity g is acting downwards, as shown. Even though energy is conserved for the system, why is it a good idea to make the components of the drive mechanism as light as possible with the exception of the flywheel?
Problem 2 An engine uses compression springs to open and close valves, using cams. During the engine cycle the spring is compressed between 0. Assume the camshaft rotates at the same speed as the engine. Floating the valves occurs when the engine speed is high enough so that the spring begins to lose contact with the cam when the valve closes. You may ignore gravity in the calculations.
Problem 3 An object is traveling in a straight line. Its acceleration is given by where C is a constant, n is a real number, and t is time. Find the general equations for the position and velocity of the object as a function of time. Problem 4 In archery, when an arrow is released it can oscillate during flight. If we know the location of the center of mass of the arrow G and the shape of the arrow at an instant as it oscillates shown below , we can determine the location of the nodes.
Using a geometric argument no equations , determine the location of the nodes. Assume that the arrow oscillates in the horizontal plane, so that no external forces act on the arrow in the plane of oscillation. Problem 5 A gyroscope wheel is spinning at a constant angular velocity w s while precessing about a vertical axis at a constant angular velocity w p. The distance from the pivot to the center of the front face of the spinning gyroscope wheel is L , and the radius of the wheel is r.
Determine the acceleration components normal to the wheel, at points A, B, C, D labeled as shown. Problem 6 When a vehicle makes a turn, the two front wheels trace out two arcs as shown in the figure below. The wheel facing towards the inside of the turn has a steering angle that is greater than that of the outer wheel.
This is necessary to ensure that both front wheels smoothly trace out two arcs, which have the same center, otherwise the front wheels will skid on the ground during the turn. During a turn, do the rear wheels necessarily trace out the same arcs as the front wheels?
Based on your answer, what are the implications for making a turn close to the curb? Problem 7 A horizontal turntable at an industrial plant is continuously fed parts into a slot shown on the left. It then drops these parts into a basket shown on the right.
Problem 8 A flywheel for a single piston engine rotates at an average speed of RPM. During half a rotation the flywheel has to absorb J of energy. Assume there is no friction. Problem 9 An aluminum extrusion process is simulated numerically with a computer.
In this process, a punch pushes an aluminum billet of diameter D through a die of smaller diameter d. The force due to deformation of the aluminum during extrusion is given by Hint: The extrusion of the aluminum through the die is analogous to fluid flowing through a pipe which transitions from a larger diameter to a smaller diameter e. The net dynamic force acting on the fluid is the net force required to accelerate the fluid, which occurs when the velocity of the fluid increases as it flows from the larger diameter section to the smaller diameter section due to conservation of mass.
Problem 10 A child on a horizontal merry-go-round gives an initial velocity V rel to a ball. Assume there is no friction between merry-go-round and ball. Problem 11 A heavy pump casing with a mass m is to be lifted off the ground using a crane. For simplicity, the motion is assumed to be two-dimensional, and the pump casing is represented by a rectangle having side dimensions ab see figure. A cable of length L 1 is attached to the crane at point P and the pump casing at point O.
The crane pulls up vertically on the cable with a constant velocity V p. The center of mass G of the pump casing is assumed to lie in the center of the rectangle. It is located at a distance L 2 from point O. The right side of the pump casing is located at a horizontal distance c from the vertical line passing though point P.
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Physics by example: problems and solutions / W. G. Rees. p. cm,. Includes index. ISBN - ISBN 8 (pbk.) 1. Physics - Problems.
Physics by Example Problems and Solutions is designed to help any student of Physics. It is especially useful to undergraduate students of Physics who are in their second year. The book contains hundred problems that a user can work on and build his knowledge and interest on the subject. The problems in the book deal with various different topics in the subject like classical mechanics, special relativity, oscillation, waves, optics, electric circuits and much more. The book also has a section of all the useful data in physics.
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Since , he has been the physics editor for the Mathematical and Physical Journal for Secondary Schools.
Statistics Problems And Solutions Pdf. Quantitative Analysis. Probability and Statistics Exercises. The solution to the problem of bad statistics is not to ignore all statistics, or to assume that every number is false. Not all distinct, such as, for example aaabbc: 6!. Introductory Algebra. However, the cassette in soft file will be then easy to retrieve all time.
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Physics Questions On this page I put together a collection of physics questions to help you understand physics better. These questions are designed to challenge and inspire you to think about physics at a deeper level. In addition to being challenging, these questions are fun and interesting. This page is a good resource for students who want good quality problems to practice with when studying for tests and exams. See solution Problem 2 Why do objects float in liquids denser than themselves? From these equations derive the equation for centripetal acceleration.
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Example Mechanics Problems On this page I give lots of examples of solved mechanics problems. There are over of them and they are fully solved, showing all the steps. They are provided as handwritten PDF files which you can conveniently download. This will be very useful when studying for tests and exams.
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