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(Work and Energy)
I.
        Pablito Vibal is cutting grass again. The force he applies to the
        lawnmower handle performs two functions. It helps to hold the wheel
        down on the ground so they don’t slip, and it pushes the lawnmower
        forward at a constatn velocity. Pablito is pushing with a force of 250
        N at an angle of 38 degree to the (horizontal) ground. The lawnmower
        weighs 100 N. Paul pushes a distance of 8m before stopping to wipe
        his brow.


a) What is the horizontal component of the force applied by Pablito?


     Ans:




b) How much work does Pablito do before wiping his brow?


     Given:      250N        = force
                 8m          = distance


     Formula:
     W = (F)(d)


     Solution:
     W =(F)(d)
        =(250N)(8m)


                        Or
II.   A circus acrobat climbs onto her brother’s shoulders while he, in turn,
      is standing on her father’s shoulders. They practice the feat while her
      father is standing on the ground, although the whole thing is to be
      done on the back of a galloping horse in an actual performance. The
      female acrobat has a mass of 50kg and must climb a height of 3.0m
      while the horse gallops (sideways) a distance of 7.0m around ring.



      a) How much does the female acrobat weigh?


         Ans:




      b) How much work must she do ins practice while her father is
         standing stationary on the ground?


         Given:
                     50 kg            =       Mass
                     Cos 23 degree    =          (considered as distance)


         Formula:
         F = (m) (    )


         Solution:
         F = (m) (    )
         F = (50kg)(cos 23 degree)

         F=




      c) How much work must she do in actual performance while the horse
         is carrying her(and everyone else) sideways?
Given:
       43.5N            =     force
       7m               =     distance


       Formula:
       W = (F)(d)


       Solution:
       W = (43.5N)(7m)

            =           or



III.
       Much of the time and expense in drilling an oil well goes into
       changing the drill bit as it wears out. The drilling pipe must be
       pulled up and disassembled one section at a time in order to pull
       the drill bit out of the hole and replace it. A pipe 0.65 mile long
       weighs 2400 lb . It takes the pulling works 7.5 s to lift this pipe
       20ft, the height of one section, in order to disassemble it.
       (One horsepower equals 550 ft-lb/s)


       a) Howmuch work is done in lifting the pipe the length of one
            section?

            Given:




            Formula:



            Solution:
b) What is the power delivered by pulling in horsepower?


            Given:



            Formula :



            Solution:




IV.   An escalator in department store is driven by a large electric motor
      whose power consumption changes with the load to keep the escalator
      moving at a constant velocity, up to certain maximum power capacity.
      An escalator working at 0.22 of its maximum power capacity lifts 18
      people per minute a vertical height of 6.8m. these people have an
      average mass of 73 kg.



      a) How much work is done in 80s?


         Given:
         0.22hp          =       power
         60s             =       time


         Formula:
         We use ratio & proportion to get the power (in 80sec = X)


         (0.22hp)            X
         _______ = ______
         60 sec          80sec
Solution :


(0.22hp)             X
_______ = ______
60 sec              80sec




    60X =    17.6




= 0.29hp


Now we have:
0.29hp as our power when 80 sec is done.
To get the work, we’ll use another formula.
(1hp = 550 ft-lb/s )


W = (P)(t)




=
b) What is the power delivered by the escalator in watts?
        If:
        1 watt = 1J/s or 1Nm/s




     c) What is the maximum mass of people can the escalator deliver in
        80s while working at its maximum power capacity?



        Ans:




V.   Annete Raymundo is measuring her acceleration on her ten-speed
     bicycle. Annette produces an average power output of 0.10 hp for 20s
     (1hp = 550 ft-lb/s). Almost all the kinetic energy goes into her bicycle
     which has a combined weight of 588N.


     a) How many joules of kinetic energy does she produce?


        Given :
        0.10 hp      =   power
        20 s         =   time


        Formula :

        ∆W = (Pave )(∆t)

        Solution :
Physics

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Physics

  • 2. I. Pablito Vibal is cutting grass again. The force he applies to the lawnmower handle performs two functions. It helps to hold the wheel down on the ground so they don’t slip, and it pushes the lawnmower forward at a constatn velocity. Pablito is pushing with a force of 250 N at an angle of 38 degree to the (horizontal) ground. The lawnmower weighs 100 N. Paul pushes a distance of 8m before stopping to wipe his brow. a) What is the horizontal component of the force applied by Pablito? Ans: b) How much work does Pablito do before wiping his brow? Given: 250N = force 8m = distance Formula: W = (F)(d) Solution: W =(F)(d) =(250N)(8m) Or
  • 3. II. A circus acrobat climbs onto her brother’s shoulders while he, in turn, is standing on her father’s shoulders. They practice the feat while her father is standing on the ground, although the whole thing is to be done on the back of a galloping horse in an actual performance. The female acrobat has a mass of 50kg and must climb a height of 3.0m while the horse gallops (sideways) a distance of 7.0m around ring. a) How much does the female acrobat weigh? Ans: b) How much work must she do ins practice while her father is standing stationary on the ground? Given: 50 kg = Mass Cos 23 degree = (considered as distance) Formula: F = (m) ( ) Solution: F = (m) ( ) F = (50kg)(cos 23 degree) F= c) How much work must she do in actual performance while the horse is carrying her(and everyone else) sideways?
  • 4. Given: 43.5N = force 7m = distance Formula: W = (F)(d) Solution: W = (43.5N)(7m) = or III. Much of the time and expense in drilling an oil well goes into changing the drill bit as it wears out. The drilling pipe must be pulled up and disassembled one section at a time in order to pull the drill bit out of the hole and replace it. A pipe 0.65 mile long weighs 2400 lb . It takes the pulling works 7.5 s to lift this pipe 20ft, the height of one section, in order to disassemble it. (One horsepower equals 550 ft-lb/s) a) Howmuch work is done in lifting the pipe the length of one section? Given: Formula: Solution:
  • 5. b) What is the power delivered by pulling in horsepower? Given: Formula : Solution: IV. An escalator in department store is driven by a large electric motor whose power consumption changes with the load to keep the escalator moving at a constant velocity, up to certain maximum power capacity. An escalator working at 0.22 of its maximum power capacity lifts 18 people per minute a vertical height of 6.8m. these people have an average mass of 73 kg. a) How much work is done in 80s? Given: 0.22hp = power 60s = time Formula: We use ratio & proportion to get the power (in 80sec = X) (0.22hp) X _______ = ______ 60 sec 80sec
  • 6. Solution : (0.22hp) X _______ = ______ 60 sec 80sec 60X = 17.6 = 0.29hp Now we have: 0.29hp as our power when 80 sec is done. To get the work, we’ll use another formula. (1hp = 550 ft-lb/s ) W = (P)(t) =
  • 7. b) What is the power delivered by the escalator in watts? If: 1 watt = 1J/s or 1Nm/s c) What is the maximum mass of people can the escalator deliver in 80s while working at its maximum power capacity? Ans: V. Annete Raymundo is measuring her acceleration on her ten-speed bicycle. Annette produces an average power output of 0.10 hp for 20s (1hp = 550 ft-lb/s). Almost all the kinetic energy goes into her bicycle which has a combined weight of 588N. a) How many joules of kinetic energy does she produce? Given : 0.10 hp = power 20 s = time Formula : ∆W = (Pave )(∆t) Solution :