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Calculate the energy from the Sun falling on a football pitch of dimensions 106 m × 68 m in 90 minutes. - Leaving Cert Physics - Question e - 2015

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Calculate the energy from the Sun falling on a football pitch of dimensions 106 m × 68 m in 90 minutes.

Worked Solution & Example Answer:Calculate the energy from the Sun falling on a football pitch of dimensions 106 m × 68 m in 90 minutes. - Leaving Cert Physics - Question e - 2015

Step 1

Calculate the time in seconds

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Answer

To find the total time in seconds for 90 minutes, we multiply by 60 (the number of seconds in a minute):

90 minutes×60 seconds/minute=5400 seconds90 \text{ minutes} \times 60 \text{ seconds/minute} = 5400 \text{ seconds}

Step 2

Calculate the area of the football pitch

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Answer

The area of the football pitch can be calculated using the formula for the area of a rectangle:

A=length×width=106 m×68 m=7208 m2A = \text{length} \times \text{width} = 106 \text{ m} \times 68 \text{ m} = 7208 \text{ m}^2

Step 3

Calculate the energy received from the Sun

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Answer

The energy from the Sun that falls on the area can be determined using the energy formula:

E=5.3×104 J/m2s×7208 m2×5400 sE = 5.3 \times 10^4 \text{ J/m}^2 \text{s} \times 7208 \text{ m}^2 \times 5400 \text{ s} Evaluating this, we get:

E=5.3×104 J/m2×7208 m2×5400 sE = 5.3 \times 10^4 \text{ J/m}^2 \times 7208 \text{ m}^2 \times 5400 \text{ s}

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