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Classical mechanics

Hpc3 notea

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Calculus
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Free fall

Chapter 3Chapter 3Falling Objects andFalling Objects andProjectile MotionProjectile Motion Gravity influences motionin a particular way. How does a droppedobject behave??Does the objectaccelerate, or is thespeed constant??Do two objectsbehave differently ifthey have:?different masses??different shapes?

Simple Harmonic Motion Answers (2)

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4.1 Simple harmonic motion 1a. [4 marks] This question is about simple harmonic motion (SHM). The graph shows the variation with time of the acceleration of an object X undergoing simple harmonic motion (SHM). Determine the maximum displacement of X. Give your answer to an appropriate number of significant figures. Markscheme use of ; or or ; } (allow answers in the range of T = 7.8 to 8.0 (s) or = 0.785 to 0.805 (rad s)) ; (allow answers in the range of 4.0 to 4.25 (m)) two significant figures in final answer whatever the value; Award [4] for a bald correct answer. Examiners report Similarly, this was well done. Most appreciated the need to truncate the final answer to a sensible number of significant digits (two in this case). 1b. [2 marks]

Simple Harmonic Motion Answers

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Harmonic oscillator
Acceleration
Velocity
Tide

4.1 Simple harmonic motion 1a. [4 marks] This question is about simple harmonic motion (SHM). The graph shows the variation with time of the acceleration of an object X undergoing simple harmonic motion (SHM). Determine the maximum displacement of X. Give your answer to an appropriate number of significant figures. Markscheme use of ; or or ; } (allow answers in the range of T = 7.8 to 8.0 (s) or = 0.785 to 0.805 (rad s)) ; (allow answers in the range of 4.0 to 4.25 (m)) two significant figures in final answer whatever the value; Award [4] for a bald correct answer. Examiners report Similarly, this was well done. Most appreciated the need to truncate the final answer to a sensible number of significant digits (two in this case). 1b. [2 marks]

Chapter 10 Notes

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Chapter 10 Simple Harmonic Motion and Elasticity 10.1 The Ideal Spring and Simple Harmonic Motion spring constant Units: N/m 10.1 The Ideal Spring and Simple Harmonic Motion Example 1 A Tire Pressure Gauge The spring constant of the spring is 320 N/m and the bar indicator extends 2.0 cm. What force does the air in the tire apply to the spring? 10.1 The Ideal Spring and Simple Harmonic Motion 10.1 The Ideal Spring and Simple Harmonic Motion Conceptual Example 2 Are Shorter Springs Stiffer? A 10-coil spring has a spring constant k. If the spring is cut in half, so there are two 5-coil springs, what is the spring constant of each of the smaller springs? 10.1 The Ideal Spring and Simple Harmonic Motion HOOKE?S LAW: RESTORING FORCE OF AN IDEAL SPRING

Newton's Laws

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Newton?s Laws Sir Isaac Newton Newton?s First Law Gravity Force This picture demonstrates Newton?s first law as it shows an object at rest. The reason it is at rest however, is because there are balanced forces at work. The gravity is pulling the rocket down, but that force is counter-acted by the equal force created by the base, and therefore the ground on which the rocket sits. Obviously, there are other forces at work stopping the rocket from tipping over when pushed by things such as wind, such as the red tower.

Work and Power

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Work and Power Scientific Work Energy can be transferred into or out of a system by work Work: a measure of energy transferred into or out of a system by a force (F) acting over a distance(d) Work needs 3 key ingredients: force, displacement, and cause Work is only done when force acts upon an object to cause a displacement of the object Work is only done when components of a force are parallel to the object?s displacement Examples: a teacher applying a force to a wall becomes exhausted NOT WORK no displacement A book falls off a table and free falls to the ground NOT WORK no force to cause displacement a rocket accelerates through space WORK A force causes a displacement

Physics Multiple Choice Practice

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physics fun gravity

#14 AP MC Quiz Key DYNAMICS/CIRC. MOTION/GRAVITY 1. A hypothetical planet orbits a star with mass one-half the mass of our sun. The planet?s orbital radius is the same as the Earth?s. Approximately how many Earth years does it take for the planet to complete one orbit? A)1 2? B) 1 ?2? C) D) ?2 E) 2. An object shown in the accompanying figure moves in uniform circular motion. Which arrow best depicts the net force acting on the object at the instant shown? A. A B. B C. C D. D E. E 3. The ?reaction? force does not cancel the ?action? force because: A. The action force is greater than the reaction force. B. The action force is less than the reaction force. C. They act on different bodies. D. They are in the same direction.

Physics Old Free Response

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Physics

SHS AP QUIZ 8 KEY 1976 B1 The two guide rails for the elevator shown above each exert a constant friction force of 100 newtons on the elevator car when the elevator car is moving upward with an acceleration of 2 meters per second squared. The pulley has negligible friction and mass. Assume g = 10 m/sec2. (a) On the diagram below, draw and label all forces acting on the elevator car. Identify the source of each force. (b) Calculate the tension in the cable lifting the 400-kilogram elevator car during an upward acceleration of 2 m/sec2. (Assume g 10 m/sec2.) (c) Calculate the mass M the counterweight must have to raise the elevator car with an acceleration of 2 m/sec2.

Newton Second Law

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Newtons Second Law
Newton was the first to mathematically express the relationship between force and momentum. Some physicists interpret Newton's second law of motion as a definition of force and mass, while others consider it to be a fundamental postulate, a law of nature. Either interpretation has the same mathematical consequences, historically known as "Newton's Second Law": The quantity mv is called the (canonical) momentum. The net force on a particle is thus equal to rate change of momentum of the particle with time. Since the definition of acceleration is a = dv/dt, the second law can be written in the simplified and more familiar form:

Uniform accelerated motion vocab

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uniform accelerated motion; velocity; speed; slope; acceleration; displacement; distance

Speed: The time rate of motion Slope = change in distance/change in time (rise/run) Scalar: the distance moved per unit of time Average speed (scalar): the ratio of the total distance traveled to the total time Total distance/elapsed time (m/s) Instantaneous speed (scalar): the speed of an object at a particular moment in time The slope of the line that is tangent to the curve at a given point Velocity (vector): speed in a particular direction Average velocity (vector): the total displacement divided by the total elapsed time Displacement /Elapsed time = (?x)/ (?t) Instantaneous velocity: The speed and direction an object moves at a particular moment in time
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