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WEEK 10

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TOPIC: WORK, ENERGY AND POWER
CONTENT
 Work
 Energy
 Power

Work
Work is said to be done whenever a force moves a body through a certain distance in the direction of force. Work done can be defined mathematically as the product of the force and the displacement. It is a scalar quantity & measured in Joules
W = F X d ……………………………………….1.
W = mgh ……………………………………….2.
If a force is applied on a body at an angle Ø to the horizontal
Work done to move the body on the horizontal plane = Fcos Ø x d ……………………………..3.
Work done to raise the body to an appreciable height = Fcos Ø x d ………………………4.

Examples- A boy of mass 50kg runs up a set of steps of total height 3.0m. Find the work done against gravity
Solution
m = 50kg, h = 3m, g = 10m/s[sup]2[/sup]
Work done = mgh
= 50 x 10 x 3
= 1500 Joules
https://youtu.be/w4QFJb9a8vo

Energy
Energy is defined as the ability to do work. It is a scalar quantity & measured in Joules. There are many forms of energy. These include:
i. Mechanical energy
ii. Thermal energy
iii. Chemical energy
iv. Electrical energy
v. Nuclear/Atomic Energy
vi. Solar/Light energy
vii. Sound Energy

Types of Mechanical Energy
Mechanical energy is classified as
1) Potential energy
2) Kinetic energy

POTENTIAL ENERGY:- is simply “stored energy” i.e. energy possessed by a body by virtue of its states:
P.E = mgh …………………………………………….5.

KINETIC ENERGY: is the energy possessed by a body by virtue of its motion. Examples area student running a race, wind or air motion, electrical charges in motion, a moving bullet
K.E = ½ mv2 ……………………………………………………6.

Example - An object of mass 5kg is moving at a constant velocity of 15mls. Calculate its kinetic energy.
Solution:
K.E = ½ mv² = ½ x 5 x 15 x 15 = 562.5 J

Example - Find the potential energy of a boy of mass 10kg standing on a building floor 10m above the ground level. g = 10m/s²
Solution:
P.E =mgh = 10 x 10 x10 =1000 J
https://youtu.be/RWPNwElEB0Q

POWER
Power is defined as the rate of doing work or the rate of transfer of energy. It is a scalar quantity & measured in watt

Power = [sup]work done[/sup]/[sub]Time [/sub] …………………………………………..7

P = (F X d )/t = F X d/t = FV ……………………………………8

Example: - : A boy of mass 10kg climbs up 10 steps each of height 0.2m in 20 seconds. Calculate the power of the boy.
Solution
Image

https://youtu.be/kCJUzdCBOk0

EVALUATION
1. Define power.
2. A boy of mass 960g climbs up to 12 steps each of height 20cm in 20 seconds. Calculate the power of the boy

Reading Assignment - New school physics by M.W.Anyakoha,Phd.Pg 29 - 34

ASSIGNMENT
1) A bob of a simple pendulum has a mass of 0.02kg. Determine the weight of the bob (a) 0.2w (b) 0.52w (c) 0.25w (d) 2N
2) An object of mass 0.5kg has K.E of 25J. calculate the speed of the object (a) 50ms1 (b) 25ms-1 (c) 2.ms-1 (d)10ml-1
3) An object of mass 0.5kg has a velocity of 4ms-1 Calculate the K.E (a) 4.0J (b) 40J (c) 0.4J (d) 400J
4) Which of the following fundamental quantities is not correctly paired with its unit of measurement? (a) Electricity current – Ampere (b) Amount of substance – kilogram (c) Temperature – Kelvin (c) length – meter

5) A diver is 5.2m below the surface of water of density 10³ kg/m³. If the atmospheric pressure is 1.02 x 10[sup]5[/sup] pa.

Calculate the pressure on the diver. [g=10mls² ) (a) 6.02 x 10[sup]4[/sup] pa (b) 1.02 x 10[sup]5[/sup] pa (c) 1.54 x 10[sup]5[/sup] pa (d) 5.20 x 10[sup]5[/sup] pa
THEORY
1) Explain work done.
2) A boy of mass 960g climbs up to 12 steps each of height 20cm in 20 seconds. Calculate the power of the boy.



TOPIC: WORK DONE IN A FORCE FIELD & ENERGY CONVERSION
 Work done in Lifting a Body & Falling Bodies
 Conservation & Transformation of Energy
 World Energy Resources

Work done in Lifting a Body & Falling Bodies
The magnitude of work done in lifting a body is given by
Work = force x distance = mg x h = mgh
Also, the work done on falling bodies is given by
Work = force x distance = mg x h = mgh

https://youtu.be/JGwcDCeYRYo

EVALUATION
1. Explain three types of force field
2. A loaded sack of total mass 100kg falls down from the floor of a lorry 2m high. Calculate the work done by gravity on the load


Conservation & Transformation of Energy
Energy can be converted from one form to another in a closed system. The law of conservation of energy states that in an enclosed system, energy can neither be created nor destroyed during transformation. Examples of such conversions include (a) Motor converts electrical to mechanical energy (b) Generator converts mechanical to electrical energy (c) Electric pressing iron convert electrical to heat energy.
https://youtu.be/O4Rxb-3jIqQ

World Energy Resources
World energy resources can be classified as
1. Renewable Energy Resources: They are energy that can be replaced as they are used e.g. solar energy, wind energy, water energy & biomass
2. Non-renewable Energy Resources: Energy that cannot be replaced after use e.g. nuclear energy, petroleum & natural gas
https://youtu.be/90J0Gl-5ggs

EVALUATION
1. State the law of conservation of energy
2. Differentiate between renewable & non-renewable energy

Reading Assignment - New school physics by M.W.Anyakoha,Phd.Pg 29, 30 & 34

ASSIGNMENT
1. The following are example of force field except (a) electric force (b) magnetic force (c) frictional force (d) gravitational force
2. Electric cell convert ……… to electrical energy (a) nuclear (b) chemical (c) mechanical (d) heat
3. The following are examples of renewable energy except (a) biomass (b) solar (c) wind (d) nuclear
4. A boy of mass 50kg runs up a set of steps of total height 3.0m. Find the work done against gravity (a) 1200J (b) 1500J (c) 1000J (d) 1300J
5. The SI unit of power is (a) joules (b) kilogram (c) watt (d) pascal
Theory
1. A loaded sack of total mass 100kg falls down from the floor of a lorry 2m high. Calculate the work done by gravity on the load
2. State the law of conservation of energy
admin
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WEEK 11

Post by admin »

TOPIC: VISCOSITY
CONTENT:
 Meaning of Viscosity
 Experiment to Determine the Terminal Velocity of a Steel Ball Falling in a Fluid
 Factors Affecting Viscosity
 Effect of Viscosity
 Application of Viscosity

Meaning of Viscosity
Viscosity is the internal friction which exists between layers of the molecules of a fluid (liquid or gas) in motion. The viscosity of a fluid can also be defined as the measure of how resistive the fluid is to flow It is a vector quantity & measured in pascal-seconds(pa.s). It can be defined mathematically as the ratio of the shearing stress to the velocity gradient in a fluid.

Image
NB : Substances with low viscosity include water, kerosene, petrol, ethanol. Those with high viscosity are glue, syrup, grease, glycerine etc

Experiment to Determine the Terminal Velocity of a Steel Ball Falling Through a Fluid
Aim: To determine the terminal velocity of a steel ball falling in through a jar of glycerin

Apparatus: steel ball, cylindrical calibrated jar, glycerine

Diagram:
Image

Image

Procedure: Set-up the apparatus as shown above & gently drop the steel ball in the jar of glycerin

Observation: It will be observed that the ball is accelerating in the liquid. Also the time taken for the ball to move from A-B will be different from B-C and so on. A time will be reached when the ball will be moving at a constant speed or velocity. It is that point that terminal velocity is experience.

Graph :
Image

Conclusion: Terminal velocity is attained when W = V + U. At a point when the ball is moving at a constant speed through the glycerine.

Precaution: 1. The steel ball should be dropped gently on the liquid 2. Experiment should be done under constant temperature 3. Avoid error of measurement when taken the reading.

NB: Terminal Velocity is the maximum velocity of an object when the viscous force due to motion of the object equals the apparent (effective) weight of the object in the fluid where there is no longer net force on the object.

Drag force is the force that keeps the object continuously moving after the terminal velocity has been attained.

Stokes’ Law state that at the terminal velocity, the upward frictional force (F) = 6Π ŋrV

Where F- Frictional/Drag force, ŋ- viscosity, r- radius of sphere, V[sub]t[/sub]- Terminal velocity

https://youtu.be/AcsrBCEJz-Y

https://youtu.be/mQwlmXtRu5k

Factors Affecting Viscosity
1. Viscosity varies with material (viscosity is a property of material)
2. The viscosity of simple liquids (a) decreases with increasing temperature (b) increases under very high pressure
3. The viscosity of gases (a) increases with increasing temperature (b) is independent of pressure & density

Effect of Viscosity
1. Viscosity is responsible for different rate of fluid flow
2. Viscosity affect motion of body in fluid

Application of Viscosity
1. It is use as a lubricant
2. The knowledge of viscous drag/drag force is applied in the design of ship & aircraft
3. Use to estimate the enlarge size of particles

https://youtu.be/VvDJyhYSJv8

EVALUATION
1. Derive the dimension of viscosity
2. Describe an experiment to determine the terminal velocity of a steel ball falling in a fluid
3. State two effect of viscosity
4. State two application of viscosity

Reading Assignment - New school physics by M.W.Anyakoha,Phd.Pg 105 – 107

ASSIGNMENT
1. Viscosity opposes motion of an object in (a) solid (b) liquid only(c) gas only (d) liquid & gas

2. The SI unit of velocity gradient is (a) m/s (b) s[sup]-1[/sup] (c) m/s[sup]2[/sup] (d) ms

3. Terminal velocity is attained when (a) w + v = u (b) w = v – u (c) w + u = v (d) w = v + u

4. The following are vector quantities except (a) friction (b) viscosity (c) Upthrust (d) pressure

5. Friction and viscosity are similar but not the same. True/False

Theory
1 Explain viscosity

2. Describe an experiment to determine the terminal velocity of a steel ball falling in a fluid

NB : A liquid is said to be VISCOSTATIC if its viscosity does not change (appreciably) with change in temperature.
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WEEK 12

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REVISION
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