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The Asteroid Belt is part of our Solar System - Edexcel - GCSE Physics - Question 8 - 2021 - Paper 1

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The Asteroid Belt is part of our Solar System. Vesta is an asteroid in the Asteroid Belt. (a) Vesta orbits the Sun between the orbits of A Venus and Earth B Earth... show full transcript

Worked Solution & Example Answer:The Asteroid Belt is part of our Solar System - Edexcel - GCSE Physics - Question 8 - 2021 - Paper 1

Step 1

Vesta orbits the Sun between the orbits of

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Answer

The correct answer is C: Mars and Jupiter.

Step 2

Calculate the time taken for Vesta to orbit the Sun once.

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Answer

To find the time taken for Vesta to orbit the Sun once, we can use the formula:

time = \frac{distance}{speed} = \frac{2.2 \times 10^9 \text{ m}}{1.9 \times 10^6 \text{ m/s}}$$ Calculating this gives:

time = \frac{2.2 \times 10^9}{1.9 \times 10^6} \approx 1158 \text{ s}$$

Therefore, the time taken for Vesta to orbit the Sun once is approximately 1158 seconds.

Step 3

Explain why Vesta is accelerating even when it is travelling at a constant speed.

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Answer

Vesta is accelerating because it is moving in a circular orbit around the Sun. Even when the speed is constant, the direction of the velocity vector changes continuously, which means that there is a change in velocity. This change in direction is a form of acceleration, often referred to as centripetal acceleration.

Step 4

Explain why the temperature on Vesta does not continue to rise, even though it is absorbing energy from the Sun.

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Answer

Vesta does not continue to rise in temperature because it radiates energy at the same rate it absorbs it from the Sun. When Vesta reaches a thermal equilibrium, it emits the same amount of energy as it receives, preventing any further increase in temperature.

Step 5

State the unit of K.

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Answer

The unit of K is W (watts), which is equal to J/s (joules per second).

Step 6

Calculate the intensity of the radiation from the Sun at Vesta.

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Answer

To calculate the intensity of radiation from the Sun at Vesta, we first use the equation provided:

intensity=Kd2intensity = \frac{K}{d^2}

where:

  • K = 1 AU² × 1400 W/m²
  • d = 2.4 AU

Substituting the values:

intensity=1×1012 m2×1400 W/m2(2.4)2intensity = \frac{1 \times 10^{12} \text{ m}^2 \times 1400 \text{ W/m}^2}{(2.4)^2}

Calculating gives:

intensity240 W/m2intensity \approx 240 \text{ W/m}^2

Thus, the intensity of the radiation from the Sun at Vesta is approximately 240 W/m².

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