CHAPTER 5: WORK, ENERGY AND POWER 15
RISE @ PHYSICS
1.   Define Work Done
2.   Define Gravitational Potential
     Energy
3.   Define Elastic Potential Energy
4.   Define Kinetic Energy
5.   State the principle of
     conservation of energy
6.   State work-energy theorem
7.   Define average power
8.   Derive Power
9.   Define mechanical efficiency
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1.   The variation of force that acts on an object in the direction of x with the displacement x
     is shown in the graph below. Determine the work done by the force to move the object to
     a displacement of 8.0 m.
                                  F/N
                                                                     x/m
                                           2            6     8
     Answer: 24 J
2. A man lifts an object of mass 1.5 kg vertically upwards through a distance of 2.0 m with
   constant speed. Determine
     a. the work done by the man
     b. the work done by the gravitational force
     c. the total work done by the two forces
     Answer: (a) 29.43 J; (b) ‒29.43 J; (c) 0 J
3. A spring is stretched from 12 cm to 14 cm, find the amount of energy stored in the
   spring. Given spring constant = 200 N m-1.
     Answer: 4×10-2 J
4. A trolley of mass 10 kg moves with a velocity of 15 m s-1. Find the kinetic energy of the
   trolley.
     Answer: 1125 J
5. Find the amount of potential energy in object A if its mass is 5 kg at position 200 cm
   from ground.
     Answer: 98.1 J
6. A bullet of mass 1.5 g is fired with a speed of 124 m s-1 crashes through a concrete of
   thickness 0.60 m. Its speed is 92 m s-1 after passing through the concrete. Determine
     a. the work done by the bullet
     b. the retarding force that acts on the bullet
     Answer: (a) ‒5.18 J ; (b) 8.64 N
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                                               CHAPTER 5: WORK, ENERGY AND POWER 17
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7.   In a diving competition, a competitor leaps off a 10 m high board with initial velocity of
     0.80 m s-1. After completing 2 twists, he hits the water with little splash of water.
       a. Calculate the velocity of the competitor when he hits the water.
       b. State the assumption for your calculation above.
     Answer: (a) 14 m s-1 ; (b) u think
8.   A block of mass 2.0 kg moves with a velocity v towards a spring as shown in figure
     below.                                               v
     The block compresses the spring by 2.0 cm. Given that the force constant of the spring
     is 1000 N m-1. Determine the velocity of the block if
       a. the surface is smooth
       b. the surface is rough and the frictional force between the block and the surface is
          3.0 N
     Answer: (a) 0.45 m s-1 ; (b) 0.51 m s-1
9.   A boat of mass 850 kg moves with a uniform velocity of 2.5 m s-1 on the surface of the
     sea. If the thrust required to overcome frictional force is 3200 N, determine the average
     power of the boat.
     Answer: 8000 W
10. An electric motor is used to lift a load of 120 kg. The power of the motor is 1500 W. If
    the efficiency of the motor is 60%, calculate the time taken to lift the load through a
    height of 5.0 m.
     Answer: 6.54 s
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