Tutorial – Work, Energy - 813 Words

Tutorial – Work, Energy (Assume the acceleration due to gravity, g = 9.81 m/s2 ) 1. Calculate the work done when a force of 40 N pushes an object a distance of 500 m in the same direction as the force. 2. Calculate the work done when a mass is lifted vertically by a crane to a height of 5 m, the force required to lift the mass being 98 N. 3. A spring, initially in a relaxed state, is extended by 100 mm. Determine the work done by using a work diagram if the spring requires a force of 0.6 N per mm of stretch. 4. A spring requires a force of 10 N to cause an extension of 50 mm. Determine the work done in extending the spring (a) from zero to 30 mm, and (b) from 30 mm to 50 mm. 5. Calculate the work done when a†¦show more content†¦14. A machine lifts a mass of weight 490.5 N through a height of 12 m when 7.85 kJ of energy is supplied to it. Determine the effiency of the machine. 15. Determine the output energy of an electric motor which is 60 % efficient if it uses 2 kJ of electrical energy. 16. A machine which is used for lifting a particular mass is supplied with 5 kJ of energy. If the machine has an effiency of 65% and exerts a force of 812.5 N to what height will it lift the mass? 17. A load is hoisted 42 m and requires a force of 100 N. The effiency of the hoist gear is 60 % and that of the motor is 70 %. Determine the input energy to the hoist. 18. A car of mass 800 kg is climbing an incline at 10ââ€" ¦ to the horizontal. Determine the increase in potential energy of the car as it moves a distance of 50 m up the incline. 19. At the instant of striking, a hammer of mass 30 kg has a velocity of 15 m/s. Determine the kinetic energy in the hammer. 20. A lorry having a mass of 1.5t is travelling along a level road at 72 km/h. When the brakes are applied, the speed decreases to 18 km/ h. Determine how much the kinetic of the lorry is reduced. 21. A canister containing a meteorology balloon of mass 4 kg is fired vertically upwards from a gun with an initial velocity of 400 m/s. Neglecting the air resistance, calculate (a) its initial kinetic energy, (b) its velocity at a height of 1 km, (c) the maximum height reached. 22. An object of mass 400 g is thrownShow MoreRelatedHow Video Games Draw Us In and Hold Us Spellbound2382 Words   |  10 Pagesâ€Å"A game is an opportunity to focus our energy, with relentless optimism, at something we’re good at (or getting better at) and enjoy. 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