Week 9 – SS1 First Term Physics Notes

 
 WEEK 9
TOPIC: WORK, ENERGY AND POWER
CONTENT

• Work
• Work Done in Lifting a Body & Falling Bodies
• Conservation & Transformation of Energy
• World Energy Resources

 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/s²
Work done = mgh
        = 50 x 10 x 3
        = 1500 Joules
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:

1. Mechanical energy
2. Thermal energy
3. Chemical energy
4. Electrical energy
5. Nuclear/Atomic Energy
6. Solar/Light energy
7. Sound Energy

    

   Types of Mechanical Energy
   

   Mechanical energy is classified as

8. Potential energy
9. 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

    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 = work done
        Time …………………………………………..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
   Height climbed = 10 x 0.2 = 2m
   Work done = mgh = 10 x 10 x 2 = 200 Joules
   POWER = work = 10 x 10 x 2 = 10watts
        Time 20
       
   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.

    WORK DONE IN A FORCE FIELD
   & ENERGY CONVERSION
   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

    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

    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

    EVALUATION
   

10. State the law of conservation of energy.
11. Differentiate between renewable & non-renewable energy.

     READING ASSIGNMENT
    New school physics by M.W.Anyakoha,Phd.Pg 29, 30 & 34

     GENERAL EVALUATION

    1. When is work said to be done?
    2. State the difference between work, energy and power.
    3. Differentiate between kinetic and potential energy.
    4. State the energy transformation that take place during electricity generation at kanji dam.

     WEEKEND 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
    6. 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
    7. 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
    8. 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
    9. 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
    10. A diver is 5.2m below the surface of water of density 10³ kg/m^3. If the atmospheric pressure is 1.02 x 10⁵ pa. Calculate the pressure on the diver. [g=10mls² ) (a) 6.02 x 10⁴ pa (b) 1.02 x 10⁵ pa (c) 1.54 x 10⁵ pa (d) 5.20 x 10⁵ 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.
    3. 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.
    4. State the law of conservation of energy.