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Work and Energy Test - 38

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Work and Energy Test - 38
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  • Question 1
    1 / -0
    The amount of work done (or, energy spent) by a source of power $$1kW$$ in $$1h$$ time is:
    Solution
    $$Energy$$ $$spent$$ = $$Power \times time$$
    $$E=1kWh \times 1h$$ = $$1kWh$$
    $$1kWh$$ is the amount of work done (or, energy spent) by a source of  $$1kW$$power in $$1h$$ time.

  • Question 2
    1 / -0
    The S.I. unit of energy is
    Solution
    Energy is capacity of doing work. The unit of energy is same as that of work. So, S.I. unit of energy is $$joule(J)$$.
  • Question 3
    1 / -0
    A fruit hanging from the top branch of a tree possesses
    Solution
    A fruit, hanging from the top branch of a tree, is at rest at a certain height from the earth"s surface. 
    So, it possesses gravitational potential energy.
  • Question 4
    1 / -0
    Which of the following is an example of zero work even when the body suffers a displacement from its initial position?
    Solution
    When a coolie carries a load on his head, he applies a force upwards against the weight of the load, i.e., against the gravitational force. And the displacement is forward horizontally. So, the angle between the force and the displacement is $${90}^{\circ}$$ and the work done is zero.
    To catch a ball, work done is negative as the ball moves in the opposite direction of force before coming to rest.
    A child pushing a wall is an example of zero work as the wall suffers zero displacements.
    A child pulling a toy car is an example of positive work.
  • Question 5
    1 / -0
    A crane pulls up a car of mass $$500kg$$ to a vertical height of $$4m$$. So, work done by the crane is:
    Solution
    To raise the car, the crane has to do work against the force of gravity.
    Therefore, the force required to lift the car, $$F=mg=500\times{9.8}N=4900N$$
    Displacement, $$S=$$ vertical height raised $$=4m$$.
    $$\therefore$$ Work done, $$W=F.S=4900\times{4}J=19600J=19.6kJ$$
  • Question 6
    1 / -0
    Watt hour represents:
    Solution
    The watt-hour (Wh) is a unit of electric energy equivalent to one watt (1 W) of power expended for one hour (1 h) of time. Watt-hour is commonly used in electrical applications. 
    $$1\ Wh = 1\times 60\times 60 = 3600\ J$$
  • Question 7
    1 / -0
    Unit used in selling electrical energy to consumer is:
    Solution
    The commercial unit of electrical energy is  $$Kilowatt-hour\ (kWh)$$.
    $$1\ kWh$$ is equal to $$1\ unit$$ of energy.
  • Question 8
    1 / -0
    Calculate the power of a source if it produces energy of $$250\ J$$ in $$10\ s$$.
    Solution
    Given,
    Energy, $$E = 250\ J$$
    Time, $$t = 10$$ s

    We know,
    Power of the source, $$P = \dfrac{E}{t}$$

    $$P = \dfrac{250}{10}$$

    $$P = 25\ W$$
  • Question 9
    1 / -0
    Convert 1 kWh to SI unit of energy.
    Solution
    We know that,
    $$1\ watt = 1\ joule/sec$$ and $$1\ kW=1000\ watt$$
    Therefore,
    $$1\ kWh$$ $$ = 1000\ watt\times 1\ hour = 1000\ joule/sec \times 3600\ sec$$ $$ = 3.6\times 10^6$$ $$J$$
  • Question 10
    1 / -0
    Energy consumed in our house has a unit of
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