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Question

Figure shows a conveyor belt transporting a package to a raised platform. The belt is driven by a motor. (𝒊) State three types of energy, other than gravitational potential energy, into which the electrical energy supplied to the motor is converted. (𝒊𝒊) 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. (𝒊𝒊𝒊) The package is raised through the vertical height of 2.4 m in 4.4 s. Calculate the power needed to raise the package. (𝒊𝒗) 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

(𝐢) (a) Kinetic energy of belt or the package

(b) Heat energy

(c) Sound energy

(𝐢𝐢) 𝑚 = 36 kg, ℎ = 2.4 m,  g = 10 m/s2

Gravitational potential energy = 𝑚𝑔ℎ

= 36 x 10 x 2.4 = 864 J

(𝐢𝐢𝐢) Power = {Work\ done \over Time\ taken} = {36×10×2.4\over4.4} = {864\over4.4} = {2160\over11} = 196.36 W

(𝐢𝐯) 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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