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Work and Energy Test - 35

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Work and Energy Test - 35
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  • Question 1
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    Directions For Questions

    A porter is carrying a load of 50 kg.

    ...view full instructions

    (i) What is the work done by the porter when he climbs up a height of 10 m $$\displaystyle (g\quad = 10\ {ms} ^{-2})$$? 
    Solution
    The work done by the potter is defined as the product of the force and the displacement.

    Work done  = force $$\times$$ displacement
                          = $$m \times g \times 10$$                 ( Since force = mass $$\times$$ gravity)

                          = $$50 \times 10 \times 10$$
                           = $$5KJ$$
  • Question 2
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    A force of $$5\ N$$ causes a displacement of $$10\ m$$ in its direction. Calculate the work done by the force.
    Solution
    Given,
    Force applied, $$F=5\ N$$
    Displacement, $$d=10\ m$$

    We know, 
    Work done, $$W=F\times d$$
    $$W=5\times 10$$
    $$W=50\ J$$
  • Question 3
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    What is the work done by a force of 2 N in displacing a body by 2 m in the direction of the force?
    Solution
    Work done is given by 
    $$Work \quad done=Force \times Displacement$$
    $$Force=2N$$  $$Displacement=2m$$
    So $$Work\quad  done $$= $$2 \times 2$$ =$$4J$$
  • Question 4
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    An electric heater has a rating of 2 kW, 220 V. The cost of running the heater for 10 hours at the rate of Rs 350 per unit is Rs ____
    Solution
    Power is energy consumed per unit time.

    Here, energy consumed$$=P=2kW=2000W$$ and time$$=t=10hr=36000s$$

    $$P=\dfrac{E}{t}$$

    $$\implies E=Pt=2kW\times 10h=20kWh=20units$$

    Since $$1unit=1kWh$$

    Cost$$=20\times 350=Rs 7000$$
  • Question 5
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    What is the work done by gravity on a load of $$50 \ kg$$ carried by porter while walking along the platform?
    Solution
    Force of gravity and displacement of load carried by the porter are perpendicular to each other. 
    Hence, work done by gravity on the load is zero.

  • Question 6
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    The energy directly related to the speed of a moving body and its mass is:
    Solution

  • Question 7
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    A heavy object has .......  gravitational potential energy than a lighter one.
    Solution
    Gravitational potential energy is given by 
    $$PE=mgh$$
    where $$m$$ is mass so heavy object means more mass and more mass means more potential energy.
  • Question 8
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    The electricity tariff in a town is $$Rs.3.00$$ per unit. Calculate the cost of running an $$80 W$$ fan for $$10 h$$ a day for the month of June.
    Solution
    Total time for which the fan is used $$= (10 hours) \times (30 days) = 300$$ hours.
    Energy consumed $$= (80 W) \times (300$$ hours$$)$$
    $$= 24,000 Wh = 24 kWh.$$
    But $$1 kWh =1$$ unit.
    Therefore, $$24 kWh = 24$$ units
    The cost of this power $$= 24$$ units $$\times Rs. 3= Rs. 72.00.$$
  • Question 9
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    Which one of the following types of energy is possessed by a body when placed at a certain height?
    Solution
    When a body is placed at a certain height, the body possesses potential energy.

    $$P.E. = mgH$$
    $$m$$; the mass of the object
    $$g$$; acceleration due to gravity
    $$H$$; height gained by object
  • Question 10
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    Calculate the work done when a 2N force moves a body through a distance of 10 m.
    Solution
    Work done = Force applied x Distance moved 
    $$W=F \times s$$
    $$ W = 2 \times 10 = 20\ J $$
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