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Margarita [4]
3 years ago
9

A 10 kg block is attached to a light cord that is wrapped around the pulley of an electric motor, as shown above. If the motor r

aises the block from the floor to a height of 8.0 meters in 5 seconds what was the motor’s power output?

Physics
1 answer:
Anika [276]3 years ago
7 0

Answer:

156.8 Watts

Explanation:

From the question given above, the following data were obtained:

Mass (m) = 10 kg

Height (h) = 8 m

Time (t) = 5 s

Power (P) =?

Next, we shall determine the energy used by the motor to raise the block. This can be obtained as follow:

Mass (m) = 10 kg

Height (h) = 8 m

Acceleration due to gravity (g) = 9.8 m/s²

Energy (E) =?

E = mgh

E = 10 × 9. 8 × 8

E = 784 J

Finally, we shall determine the power output of the motor. This can be obtained as illustrated below:

Time (t) = 5 s

Energy (E) = 784 J

Power (P) =?

P = E/t

P = 784 / 5

P = 156.8 Watts

Therefore, the power output of the motor is 156.8 Watts

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9R

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a man uses a 900 watt electric iron to press his clothes for an average of 4 hours a week for five weeks if the cost of an elect
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Answer:

54 Kobo

Explanation:

Units of <u>electricity</u> are measured in kilowatt hours (kWh).

Given information:

  • 900 watt electric iron
  • Appliance usage = 4 hours a week for 5 weeks
  • Unit cost of electricity = 3 Kobo per kWh

<h3><u>Step 1</u></h3>

Convert the wattage of the electric iron from watts to kilowatts.

1000 watts (W) = 1 kilowatt (kW)

⇒ 900 watts = 1 ÷ 1000 = 0.9 kilowatts

This means that the power consumption of the electric iron is 0.9 kW per hour of use.

<h3><u>Step 2</u></h3>

Total hours spent pressing clothes:

= 4 hours per week for 5 weeks

= 4 × 5

= 20 hours

<u>Total power consumption</u>:

= number of kW × number of hours

= 0.9 × 20

= 18 kWh

<h3><u>Step 3</u></h3>

To find the <u>total cost</u>, multiply the total kWh by the cost per kWh:

⇒ Cost = 18 × 3 = 54 Kobo

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