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Question

Figure shows a conveyor belt transporting a package to a raised platform. The belt is driven by a motor. (๐’Š) State three types of energy, other than gravitational potential energy, into which the electrical energy supplied to the motor is converted. (๐’Š๐’Š) The mass of the package is 36 kg. Calculate the increase in the gravitational potential energy (P.E.) of the package when it is raised through a vertical height of 2.4 m. (๐’Š๐’Š๐’Š) The package is raised through the vertical height of 2.4 m in 4.4 s. Calculate the power needed to raise the package. (๐’Š๐’—) Assume that the power available to raise package is constant. A package of mass greater than 36 kg is raised through the same height. Suggest and explain the effect of this increase in mass on the operation of the belt.

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Answer

(๐ข) (a) Kinetic energy of belt or the package

(b) Heat energy

(c) Sound energy

(๐ข๐ข) ๐‘š = 36 kg, โ„Ž = 2.4 m,ย  g = 10 m/s2

Gravitational potential energy = ๐‘š๐‘”โ„Ž

= 36 x 10 x 2.4 = 864 J

(๐ข๐ข๐ข) Power = {Work\ done \over Time\ taken} = {36ร—10ร—2.4\over4.4} = {864\over4.4} = {2160\over11} = 196.36 W

(๐ข๐ฏ) Mass is increased and power is constant, so increase in potential energy of mass is greater. Also, as mass is increased, speed is reduced and hence time taken is longer.

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