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Question 6

A miniature motorized pulley is used to lift a 350 g350\text{ g}350 g research payload vertically inside a model volcano.

The current in the pulley's motor is 1.25 A1.25\text{ A}1.25 A and the voltage across it is 4.8 V4.8\text{ V}4.8 V.

The total electrical energy transferred to the motor during the ascent is 42 J42\text{ J}42 J.

a.

Calculate the time taken for the motor to lift the payload. Give your answer to two significant figures.

[3]
b.

State the equation linking gravitational potential energy (GPE\text{GPE}GPE), mass (mmm), gravitational field strength (ggg), and height (hhh).

[1]
c.

The payload gains 10.5 J10.5\text{ J}10.5 J of gravitational potential energy when it is lifted. Calculate the height the payload is lifted. (Use g=10 m/s2g = 10\text{ m/s}^2g=10 m/s2)

[3]

Work and power Questions

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