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 explain the effect of this increase in

mass on the operation of the belt.


right answer=5 thanks​

Answer 1

Answer: a. 864 J

               b. 5 W

Explanation: a. G.p.e = mgh

                                     = 36 x 10 x 2.4

                                     = 864 J

                   
                       b. P = mg / T

                              = 2.4 x 10 / 4.4

                              = 5 W

Answer 2

• i. When the package goes along the conveyor belt, the electrical energy provided to the motor is transformed into various forms of energy. Apart than gravitational potential energy, three different kinds of energy may be distinguished:

• The package has kinetic energy, which is the energy of motion, as it travels along the conveyor belt. The motion of the belt and the package is a result of the motor's electrical energy being transformed into kinetic energy.

• Thermal energy: This is the heat produced by the friction of the package and the belt. There is some friction when the belt travels between the package and the belt, which causes the creation of heat energy.

• Sound energy: This is the power created by the noise the package and conveyor belt make as they travel. When the motor runs, the electrical energy it receives is also transformed into sound energy.

• ii. The formula may be used to determine how much the package's gravitational potential energy (p.e.) increases when it is hoisted via a vertical height of 2.4 m.

• p.e. = mgh

• Where h is the height through which the item is elevated, m is the mass of the package (36 kg), g is the acceleration caused by gravity (9.81 m/s2), and (2.4 m).

• p.e. = 36 × 9.81 × 2.4 = 846.14 J

• As a result, the package's increased gravitational potential energy is 846.14 J.

• iii. The formula: may be used to determine the amount of force required to lift the package.

• power is the product of labour and time.

• The work required to lift the package is equivalent to the 846.14 J increase in gravitational potential energy. The package was raised in 4.4 seconds.

• power is 846.14 / 4.4, or 192.75 W.

• As a result, 192.75 W is required to lift the package.

• iv. The impact on the belt's performance if a package with a mass more than 36 kg is hoisted through the same height would depend on the power available to elevate the item. If the power available remains constant, if the bulk of the package is too big for the power, the belt may slow down or stop entirely. This is so because the bulk of the cargo directly affects the amount of power required to lift it. The power required to lift the cargo will grow as its bulk increases.

• Thus, the belt may not be able to work effectively or may even stop entirely if the available power is insufficient to move the larger load. In this situation, the motor would require more power to enable it to lift the larger payload.

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