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Natural Sciences, Natural
English
PHYSICS


  Mechanical energy
          exchanges
in vertical projection
Aims
The aim of the lesson was
       to acknowledge the
   students with general
 principles             of
   energy conservation,
physical formulae and their
 practical implementation.
Proceedings

  The lesson was divided into three parts:
 theoretical

 practical   (experiments)
 workshop      (exercises)
Proceedings
                       Part I
       The pupils
were acquainted
with the theory
   of the issue and
its terminology in
the          English
language.

      The teacher
used an interactive
whiteboard.
Proceedings
                   Part I


    We gained theoretical
 knowledge regarding energy
exchange and learnt about its
  practical implementation.
Lesson Proceedings
The teacher presented experiments to illustrate
the existence of mechanical energy exchanges
   in every day life.




                     Part II
Lesson Proceeding
     - experiment no 1
‘The jumper’ is a toy which is used
   to present the law of conservation
      of energy as well as the exchange of
inner energy into kinetic and potential
energy of a physical body.




            Jumper
Lesson Proceedings
    - Experiment no 2

This experiment
by means
 of a watermill
describes
the way energy
exchange might
  be utilized.
Lesson Proceedings
            Part III

  The next step included exercises
and solving tasks checking
      the students’ knowledge.
Lesson Proceedings
              Part III

         Example exercise:

      Using the law of conservation
energy, calculate the altitude a physical
body will reach if thrown vertically with
   a velocity of …
Lesson Proceedings
                   Part III
                 Sample task:
       From the tower of 25 m in height a stone
has been thrown upwards with the initial
velocity of 20 m/s. Calculate the time it takes
         to hit the ground, granted that the
acceleration               of gravity g= 10 ms-2. If
the acceleration               of gravity equals 10
m⋅s-2, then the stone will           hit the ground
after the time approximately equals: ………
Summary


To sum up the lesson all
the students did the test.
Test
       Projections in gravitational field – energy
                        exchanges 

Task 1 Mechanical energy unit can be expressed
      in International System of Units (SI):
                                      2
       kg ⋅ m 2                  2 m
  a)        2
                         b) kg               c)    kg ⋅ m 2
          s                         s

d) dimensionless quantity.

Task 2 Kinetic energy increases and potential declines when
        a physical body:
a) Is projected horizontally with an initial velocity
b) Is falling freely
c) Is projected vertically upwards with an initial velocity
d) Is projected at certain angle with an initial velocity
Test
Task 3 The time of free fall from the altitude h, is expressed
       by the following phrase:
a) free time                       b) time of fall
c) free velocity                   d) acceleration

Task 4 In vertical projection upwards, the maximum velocity
     of the physical body is calculated with the following formula:
        gt                V02                                        V0
a)
     h=           b)
                       h=
                                      c)
                                           h = 2 gt
                                                           d)   h=
        2                 2g                                         2 gt
Task 5 The range in oblique projection is calculated with
      the following formula:
                       V02 sin 2 2ε           V02 sin 2α             cos α
a) Z =   2 gh   b) Z =                 c) Z =              d) Z =
                             g                     g                  2th
Test
Task 6 In vertical projection upwards the mechanical energy
   changes
        according to the following rule:
a) Kinetic energy declines and potential energy increases
   up to the point of reaching the maximum altitude
b) Potential and kinetic energies are constant during the time
     of motion
c) Potential energy equals zero and kinetic energy increases
d) Potential energy decreases and kinetic energy grows

Task 7 The following formula + E
                      Em = W describes mechanical energy :Ek
                                              Em = E p +
                                 k
a)                       b)
             mV 2
   c)   Em =      + mgh          c) Em = const
              2
Test
Task 8 Which sentence(s) is/are false:
a) A physical body thrown upwards is subject to uniformly retarded
   linear motion.
b) In oblique projection the range of a physical body always equals
   the maximum altitude the body reaches.
c) A freely falling physical body is subject to uniformly linear
   motion.
d) The law of conservation of mechanical energy does not apply
        to horizontal projection.
Task 9 Match the following terms and formulae:
                                                     m
   a) conservation of mechanical       1) g = 9,81
                                                     s2
   energy                                                         1
                                                          2) Ek = mV
                                                                     2
   b) Kinetic energy
                                                                  2
   c) Potential energy                 3) Em = const
   d) Gravitational acceleration                          4) E p = mgh
Test

Task 10 The trajectory of an moving object during horizontal
           projection is:
a) A straight line
b) A sector of parabola
c) A hyperbole
d) A circle

Task 11 Using the law of conservation of mechanical energy
calculate the final velocity of a physical body which is falling down
from the altitude of 10 m. Air resistance should be ignored.
Test - results
SCORE       PERCENT   NUMBER OF STUDENTS

13/15         87%             3

12/15         80%             2

11/15         73%             5

10/15         66%             6

9/15          60%             3
Test - conclusions

       The results of the test proved that
the pupils learned the lesson on a good
level.

     They were especially interested
  in the parts of the lesson and the test
which were done in English.
Evaluating survey

1. The lesson made me understand English
   better.

2. The lesson made me speak English easily.

3. The lesson made me learn the English
   language more easily.
Evaluating survey

4. The lesson made me write in English more

  easily.

5. I would prefer the lesson in another
   language.

6. The lesson was interesting because it was
   in English.
Evaluating survey

7. The lesson made me understand the
   meaning of the English language better.

8. I would like more lessons in English.

9. ………………………………………………..
   (other – please write in English)
Evaluating survey
    - results
Evaluating survey -
     results
Evaluating survey
       - conclusions

The pupils express strong interest
       in the lesson carried out in English,
however some of them have minor
difficulties with perception.
Summary

The pupils were interested in the lesson
and learned it on a good level.

They can use theoretical knowledge
   in practice and they are willing to take
part in lessons carried out in English.
Natural Sciences, Natural
English
Exercise

1. A globule of 100g mass is falling freely
from the aptitude of 5m. Calculate
  the globule kinetic energy at the time
         of hitting the ground. Assume g =
10m/s2
2. What altitude reaches the ball of 50g
mass, thrown vertically upwards with initial
velocity Vo=10m/s. Assume g = 10m/s2
Natural Sciences, Natural
English

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Fizyka oryginal ang

  • 2. PHYSICS Mechanical energy exchanges in vertical projection
  • 3. Aims The aim of the lesson was to acknowledge the students with general principles of energy conservation, physical formulae and their practical implementation.
  • 4. Proceedings The lesson was divided into three parts:  theoretical  practical (experiments)  workshop (exercises)
  • 5. Proceedings Part I The pupils were acquainted with the theory of the issue and its terminology in the English language. The teacher used an interactive whiteboard.
  • 6. Proceedings Part I We gained theoretical knowledge regarding energy exchange and learnt about its practical implementation.
  • 7. Lesson Proceedings The teacher presented experiments to illustrate the existence of mechanical energy exchanges in every day life. Part II
  • 8. Lesson Proceeding - experiment no 1 ‘The jumper’ is a toy which is used to present the law of conservation of energy as well as the exchange of inner energy into kinetic and potential energy of a physical body. Jumper
  • 9. Lesson Proceedings - Experiment no 2 This experiment by means of a watermill describes the way energy exchange might be utilized.
  • 10. Lesson Proceedings Part III The next step included exercises and solving tasks checking the students’ knowledge.
  • 11. Lesson Proceedings Part III Example exercise: Using the law of conservation energy, calculate the altitude a physical body will reach if thrown vertically with a velocity of …
  • 12. Lesson Proceedings Part III Sample task: From the tower of 25 m in height a stone has been thrown upwards with the initial velocity of 20 m/s. Calculate the time it takes to hit the ground, granted that the acceleration of gravity g= 10 ms-2. If the acceleration of gravity equals 10 m⋅s-2, then the stone will hit the ground after the time approximately equals: ………
  • 13. Summary To sum up the lesson all the students did the test.
  • 14. Test Projections in gravitational field – energy exchanges  Task 1 Mechanical energy unit can be expressed in International System of Units (SI): 2 kg ⋅ m 2 2 m a) 2 b) kg c) kg ⋅ m 2 s s d) dimensionless quantity. Task 2 Kinetic energy increases and potential declines when a physical body: a) Is projected horizontally with an initial velocity b) Is falling freely c) Is projected vertically upwards with an initial velocity d) Is projected at certain angle with an initial velocity
  • 15. Test Task 3 The time of free fall from the altitude h, is expressed by the following phrase: a) free time b) time of fall c) free velocity d) acceleration Task 4 In vertical projection upwards, the maximum velocity of the physical body is calculated with the following formula: gt V02 V0 a) h= b) h= c) h = 2 gt d) h= 2 2g 2 gt Task 5 The range in oblique projection is calculated with the following formula: V02 sin 2 2ε V02 sin 2α cos α a) Z = 2 gh b) Z = c) Z = d) Z = g g 2th
  • 16. Test Task 6 In vertical projection upwards the mechanical energy changes according to the following rule: a) Kinetic energy declines and potential energy increases up to the point of reaching the maximum altitude b) Potential and kinetic energies are constant during the time of motion c) Potential energy equals zero and kinetic energy increases d) Potential energy decreases and kinetic energy grows Task 7 The following formula + E Em = W describes mechanical energy :Ek Em = E p + k a) b) mV 2 c) Em = + mgh c) Em = const 2
  • 17. Test Task 8 Which sentence(s) is/are false: a) A physical body thrown upwards is subject to uniformly retarded linear motion. b) In oblique projection the range of a physical body always equals the maximum altitude the body reaches. c) A freely falling physical body is subject to uniformly linear motion. d) The law of conservation of mechanical energy does not apply to horizontal projection. Task 9 Match the following terms and formulae: m a) conservation of mechanical 1) g = 9,81 s2 energy 1 2) Ek = mV 2 b) Kinetic energy 2 c) Potential energy 3) Em = const d) Gravitational acceleration 4) E p = mgh
  • 18. Test Task 10 The trajectory of an moving object during horizontal projection is: a) A straight line b) A sector of parabola c) A hyperbole d) A circle Task 11 Using the law of conservation of mechanical energy calculate the final velocity of a physical body which is falling down from the altitude of 10 m. Air resistance should be ignored.
  • 19. Test - results SCORE PERCENT NUMBER OF STUDENTS 13/15 87% 3 12/15 80% 2 11/15 73% 5 10/15 66% 6 9/15 60% 3
  • 20. Test - conclusions The results of the test proved that the pupils learned the lesson on a good level. They were especially interested in the parts of the lesson and the test which were done in English.
  • 21. Evaluating survey 1. The lesson made me understand English better. 2. The lesson made me speak English easily. 3. The lesson made me learn the English language more easily.
  • 22. Evaluating survey 4. The lesson made me write in English more easily. 5. I would prefer the lesson in another language. 6. The lesson was interesting because it was in English.
  • 23. Evaluating survey 7. The lesson made me understand the meaning of the English language better. 8. I would like more lessons in English. 9. ……………………………………………….. (other – please write in English)
  • 24. Evaluating survey - results
  • 26. Evaluating survey - conclusions The pupils express strong interest in the lesson carried out in English, however some of them have minor difficulties with perception.
  • 27. Summary The pupils were interested in the lesson and learned it on a good level. They can use theoretical knowledge in practice and they are willing to take part in lessons carried out in English.
  • 29. Exercise 1. A globule of 100g mass is falling freely from the aptitude of 5m. Calculate the globule kinetic energy at the time of hitting the ground. Assume g = 10m/s2 2. What altitude reaches the ball of 50g mass, thrown vertically upwards with initial velocity Vo=10m/s. Assume g = 10m/s2