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A TV draws 0.7 A from a 220 V supply. Calculate the energy transfer if the TV is switched on for 4 hours.

Physics

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  1. The total current in a TV is 0.7 A0.7\, \text{A} when connected to a 220 V220\, \text{V} supply. Calculate the energy transfer if the TV is switched on for 4 hours4\, \text{hours}.
  1. Calculate the power of the TV using the formula P=V×IP = V \times I.

    $$
    P = 220\, \text{V} \times 0.7\, \text{A}
    $$
    $$
    P = 154\, \text{W}
    $$
    
  2. Convert the time from hours to seconds.

    $$
    t = 4\, \text{hours} \times \frac{60\, \text{min}}{1\, \text{hour}} \times \frac{60\, \text{s}}{1\, \text{min}}
    $$
    $$
    t = 14400\, \text{s}
    $$
    
  3. Calculate the energy transfer using the formula E=P×tE = P \times t.

    $$
    E = 154\, \text{W} \times 14400\, \text{s}
    $$
    $$
    E = 2217600\, \text{J}
    $$
    The energy transfer is $\boxed{\text{2217600 J}}$.
    

    4. The motor of a water pump needs to be able to transfer 9×103 J9 \times 10^3\, \text{J} in 10 min10\, \text{min}. Calculate the power output of the motor.

  4. Convert the time from minutes to seconds.

    $$
    t = 10\, \text{min} \times \frac{60\, \text{s}}{1\, \text{min}}
    $$
    $$
    t = 600\, \text{s}
    $$
    
  5. Calculate the power output using the formula P=EtP = \frac{E}{t}.

    $$
    P = \frac{9 \times 10^3\, \text{J}}{600\, \text{s}}
    $$
    $$
    P = \frac{9000\, \text{J}}{600\, \text{s}}
    $$
    $$
    P = 15\, \text{W}
    $$
    The power output of the motor is $\boxed{\text{15 W}}$.
    
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