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The Sun yacht Diana, designed to navigate in the solar system using the pressure of sunlight,has a sail area of 3.1 km 2 and a mass of 930 kg. Near Earth’s orbit, the Sun could exert a radiation force of 29 N on its sail. (a) What acceleration would such a force impart to the craft? (b) A small acceleration can produce large effects if it acts steadily for a long enough time. Starting from rest them, how far would the craft have moved after 1 day under these conditions? (c) What would then be its speed? (See “The Wind from the Sun,” a fascinating science fiction account by Arthur C. Clarke of a Sun yacht race.)

The Sun yacht Diana, designed to navigate in the solar system using the pressure of sunlight,has a sail area of 3.1 km2 and a mass of 930 kg. Near Earth’s orbit, the Sun could exert a radiation force of 29 N on its sail. (a) What acceleration would such a force impart to the craft? (b) A small acceleration can produce large effects if it acts steadily for a long enough time. Starting from rest them, how far would the craft have moved after 1 day under these conditions? (c) What would then be its speed? (See “The Wind from the Sun,” a fascinating science fiction account by Arthur C. Clarke of a Sun yacht race.)

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
8 years ago
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