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  CONTENTS

One dimensional motion

Two and three dimensional motion

Laws of motion

Work energy power

Circular motion

Gravitation

Properties of matter

Electricity

 

 

 

ONE DIMENSIONAL MOTION


One dimensional motion
By one dimension we mean that the body is moving only in one plane and in a straight line. Like if we roll a marble on a flat table, and if we roll it in a straight line (not easy!), then it would be undergoing one-dimensional motion.

There are four variables which put together in an equation can describe this motion. These are Initial Velocity (u); Final Velocity (v), Acceleration (a), Distance Traveled (s) and Time elapsed (t). The equations which tell us the relationship between these variables are as given below.

v = u + at

v2 = u2 + 2as

s = ut + 1/2 at2

average velocity = (v + u)/2

Armed with these equations you can do wonderful things like calculating a cars acceleration from zero to whatever in 60 seconds !!

Test your self

Q Two boys are standing on the top of a wall which is 400 m from the ground.  The first boy drops a tennis ball over the side of the wall.  Two seconds later, his friend throws another ball vertically downward.  Calculate the required initial velocity of the second ball in order for it to hit the ground at the same time as the first ball. 

Ans: 22.32 m/s   [ Go to  Solution: click here ]


TWO AND THREE DIMENSIONAL MOTION


Scalar or Vector?

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Vector Addition
Parallelogram law of vector addition

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Resolution of a Vector
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Rectangular Components of a Vector
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Test your self

Q    Vector A has a magnitude of 25 units and vector B has a magnitude of 15 units.  What is the minimum and maximum magnitude of a vector A + B?

Ans: 40 units, 10 units  [ Go to  Solution: click here ]


LAWS OF MOTION


Newton's laws of motion
 

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Momentum
 

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Test your self

Q. A120 lb person is being lifted aloft by a rocket which accelerates uniformly to an upward speed of 300 ft/sec in 2 sec.

a)   What is the upward acceleration in multiples of g?

b)   What is the apparent weight of the person during acceleration?

Ans: a) 4.7g b)684 lbf    [Got to solution: click here]


WORK ENERGY POWER


Work and energy
 

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Test your self

Q. A 2.0 kg block is thrown upward from a point 20m above Earth's surface. At what height above Earth's surface will the gravitational potential energy of the Earth block system have increased by 500J?

Ans: 45.51m [ Go to solution: click here ]


CIRCULAR MOTION


Circular motion

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Test your self

Q. A constant torque of 1.56 N-m is applied to a rotating solid disk of radius 15 cm and mass 5.71 kg. What is the angular velocity of the disk after 10 seconds?

Ans: 242.8 rad/s [ Go to solution: click here ]


GRAVITATION


Kepler's Laws
 

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Test your self

Q.    A sphere shell has inner radius R, outer radius R, and mass M, distributed uniformly throughout the shell. Find the magnitude of the gravitational force exerted on the shell by a point particle of mass m located at a distance d from the center, outside the inner radius and inside the outer radius.

Ans: F = [Gm(d3 - R13)M] / [d2(R23 - R13)]   [ Go to solution: click here ]


PROPERTIES OF MATTER


Density
 

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Pressure
 

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Specific Heat
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Test your self

Q.    A volume of 8 liters of gas has a pressure of 50 kPa and a temp of 27oC.

a)    If the pressure were increased to 300 kPa without changing he temperature what would be the resulting volume?

b)    If the temperature was raised to 627o C while maintaining the original pressure, what would be the final volume?

Ans: a) 1.33 liters b) 24 liters [ Go to solution: click here ]


ELECTRICITY


Electricity
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Resistance of Resistors in Series

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Resistance of Resistors in Parallel

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