ICSE 2009 Solved Important Papers of Physics By Mr. M.P.Keshari
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Force, Work, Energy And Power [Numericals] (Solved)
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Numerical – 1. A body of mass 1 kg is thrown vertically up with an initial speed of 15 ms-1. What is the magnitude and direction of the force due to gravity acting on the body when it is at the highest point ?
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Numerical – 2. The weight of two bodies are 2.0 N and 2.0 kgf respectively. What is the mass of each body ?
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Numerical – 3. Two balls of mass ratio 1 : 2 are dropped from the same height.
(i) State the ratio between their velocities when they strike the ground and
(ii) the ratio of the forces acting on them during motion.
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Numerical – 4. A force of 100 N acts on a body for 5 seconds and produces a velocity of 50 ms-1. Find the mass of the body.
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Numerical – 5. A cricket ball of mass 70 g, moving with a velocity of 0.5 m s-1 is stopped by a player in 0.5 s. What is the force applied by the player to stop the ball ?
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Numerical – 6. A man of mass 60 kg runs up a flight of 30 steps in 15 second. If each step is 20 cm high, calculate the power developed by the man. Take g =m 10 ms-2.
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Numerical – 7. How fast should a man weighing 60 kg run so that his kinetic energy is 750 J.
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Numerical – 8. A block of mass 30 kg is pulled up a slope with a constant speed by applying a force of 200 N parallel to the slope. A and B are initial and final positions of the block.
(i) Calculate the work done by the force in moving the block from A to B.
(ii) Calculate the potential energy gained by the block.
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Numerical – 9. A body of mass 1 kg falls from a height of 5 m. How much energy does it possess at any instant. Take g = 9.8 ms-2.
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Numerical – 10. A bullet of mass 50 g is moving with a velocity of 500 ms-1. It penetrates 10 cm into a still target and comes to rest.
(i) Calculate the KE possessed by the bullet.
(ii) The average retarding force offered by the target.
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Numerical – 11. An engine can pump 30000 litre of water to a vertical height of 45 m in 10 minutes (g = 9.8 ms-1). Calculate the work done by the machine and its power (density of water 1000kgm-3 and 1000 litre = 1 m3).
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Numerical – 12. A machine raises a load of 750 N through a height of 16 m in 5 second. Calculate the power at which the machine works.
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Numerical – 13. If power of a motor is 40 kW, at what speed can it raise a load of 20,000 N ?
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Numerical – 14. A ball of mass 0.20 kg is thrown vertically upwards with an initial velocity of 20 ms-1. Calculate the maximum potential energy it gains as it goes up.
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Numerical – 15. The work done by the heart is 1 joule per beat. Calculate the power of the heart if it beats 72 times in one minute.
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Numerical – 16. Two bodies, A and B of equal mass are kept at heights 20m and 30 m respectively. Calculate the ratio of their potential energies.
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Numerical – 17. The diagram below shows the use of a lever. (a) State the principle of moments as applied to the above lever. (b) Give an example of this lever. (c) If FA = 10 cm, AB = 500 cm, calculate the minimum effort required to lift the load.
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Numerical – 18. The crow bar is a type of lever as shown below. A crowbar of length 150 cm has its fulcrum at a distance of 25 cm from the load. Calculate the mechanical advantage of this crowbar.
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Numerical – 19. A cook uses a ‘fire tong’ of length 28 cm to lift a piece of burning coal of mass 250 g. If he applies his effort at a distance 7 cm from the fulcrum, what is the effort in SI unit ? Take g = 10 ms-2.
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Numerical – 20. A woman draws water from a well using a fixed pulley. The mass of the bucket and water together is 6.0 kg. The force applied by the woman is 70 N. Calculate the mechanical advantage. (Take g = 10 ms-2).
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Numerical – 21. Combination of a movable pulley P1with a fixed pulley P2used for lifting up a load 20 kgf. Calculate the effort applied at the free end of the string, neglecting the weight of the pulley P1 and friction.
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Numerical – 22. In the arrangement of four pulleys, a load is attached to the movable lower block and an effort is applied at the free end of the string. Calculate the mechanical advantage of the system.
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Numerical – 23. A block and tackle pulleys of 5 pulleys consists of 3 pulleys in the upper block and 2 pulleys in the lower block . If the load is raised by 1 m, through what distance will effort move ?
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Numerical – 24. A uniform metre scale is kept in equilibrium when supported at the 60 cm mark and a mass M is suspended from the 10 cm mark. State with reason whether the weight of the scale is greater than, less than or equal to the weight of mass M.
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