WORK, ENERGY & POWER

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  • Q1: Define Work. State its unit.
    Ans: Work is said to be done when a force acts on a body and the body moves in the direction of force.

    Unit of work is Joule (J).
  • Q2: Define Joule.
    Ans: One joule is the amount of work done when a force of 1 newton moves a body through a distance of 1 meter in the direction of force.
  • Q3: Write the formula to calculate Work done.
    Ans: Work done formula:

    W = F × d × cosθ
  • Q4: Define Energy. State its unit.
    Ans: Energy is the capacity to do work.

    Unit of energy is Joule (J).
  • Q5: State the types of Energy.
    Ans: The types of energy are:
    • ➔ Kinetic energy
    • ➔ Potential energy
  • Q6: Define Kinetic Energy.
    Ans: Kinetic energy is the energy possessed by a body due to its motion.
  • Q7: Define Potential Energy.
    Ans: Potential energy is the energy possessed by a body due to its position or state.
  • Q8: A car of mass 1200kg is moving with a velocity of 80 km/h. Find its kinetic energy.
    Ans: Given:
    Mass, m = 1200 kg
    Velocity, v = 80 km/h = (80 × 1000) / 3600 = 22.22 m/s

    Formula:
    KE = (1/2) m v2

    Step 1: Substitute values
    KE = (1/2) × 1200 × (22.22)2

    Step 2: Calculation
    KE = 600 × 493.7
    KE = 296220 J

    Final Answer:
    Kinetic Energy ≈ 2.96 × 105 J
  • Q9: State the Work Energy Relation.
    Ans: The work energy relation states that work done on a body is equal to the change in its kinetic energy.
  • Q10: Define Power. State its Unit.
    Ans: Power is the rate of doing work or rate of transfer of energy.

    Unit of power is Watt (W).
  • Q11: State the formula to calculate Power.
    Ans: Formula:

    P = W / t
  • Q12: Define Watt.
    Ans: One watt is the power when 1 joule of work is done in 1 second.
  • Q13: Define Horse Power.
    Ans: Horse power is a unit of power used in engineering.
    1 HP = 746 watts.
  • Q14: State the Relation between Watt and Horse Power.
    Ans: 1 Horse Power = 746 Watts
  • Q15: Define Indicated Horse Power (I.H.P).
    Ans: Indicated Horse Power is the power developed inside the cylinder of an engine.
  • Q16: Define Brake Horse Power (B.H.P).
    Ans: Brake Horse Power is the actual power available at the output shaft of an engine.
  • Q17: Define Dynamometer. Write its types.
    Ans: A dynamometer is a device used to measure power of an engine.

    Types:
    • ➔ Absorption dynamometer
    • ➔ Transmission dynamometer
  • Q18: What is an Absorption Dynamometer?
    Ans: An absorption dynamometer absorbs the power produced by the engine and converts it into heat.
  • Q19: What is a Transmission Dynamometer?
    Ans: A transmission dynamometer measures power while it is being transmitted from the engine to the load.
  • Q20: What is a Prony Brake Dynamometer?
    Ans: A Prony brake dynamometer is an absorption type dynamometer used to measure engine power by friction braking.
  • Q21: What is a Rope Brake Dynamometer?
    Ans: A rope brake dynamometer is a device in which power is absorbed by a rope wrapped around a pulley.
  • Q22: State the uses of a Dynamometer.
    Ans: The uses of a dynamometer are:
    • ➔ Measuring engine power
    • ➔ Testing machine performance
    • ➔ Laboratory experiments
  • Q23: Define Power Loss.
    Ans: Power loss is the difference between input power and output power of a machine.
  • Q24: Write the formula to find I.H.P of an engine.
    Ans: Formula:

    I.H.P = (P × L × A × N) / 4500

    where:
    P = pressure
    L = stroke length
    A = area
    N = number of strokes
  • Q25: Find work in Joules done by a motor of 5 hp in 2 hours.
    Ans: Given:
    Power = 5 HP
    Time = 2 hours

    Step 1: Convert HP to Watt
    1 HP = 746 W
    P = 5 × 746 = 3730 W

    Step 2: Convert time to seconds
    t = 2 × 3600 = 7200 s

    Step 3: Work formula
    W = P × t

    Step 4: Calculation
    W = 3730 × 7200
    W = 26856000 J

    Final Answer:
    Work done = 2.6856 × 107 J
  • Q26: Define Efficiency.
    Ans: Efficiency is the ratio of useful output power to input power expressed in percentage.

    Formula:

    η = (Output / Input) × 100%
  • Q27: Describe the relationship between I.H.P, B.H.P and Efficiency.
    Ans: Efficiency is given by:

    η = (B.H.P / I.H.P) × 100%

    It shows how much input power is converted into useful output power.
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appliedmechanics — chapter-7 | GCT Notes