in a scale model of the solar system the sun is placed at the center and the planets are shown orbiting in cirles around it mars is 1.5 AU away from the suna nd in the model it appears at 30 cm from it which means that 1 Au =20 cm likewise neptune is 30 AU away from the sun what is the maximum possible distance that can be drawn between mars and neptune in the scale model a. 28.5 cm b. 570 cm c. 630 cm d. 1.5 cm
To find the maximum possible distance between Mars and Neptune in the scale model, we need to calculate the distance between Mars and the Sun, and the distance between Neptune and the Sun, and then subtract the two distances.
We know that 1 AU in the scale model is equal to 20 cm. Since Mars is 1.5 AU away from the Sun, the distance between Mars and the Sun in the model is 1.5 * 20 cm = 30 cm.
Similarly, we know that Neptune is 30 AU away from the Sun. Therefore, the distance between Neptune and the Sun in the model is 30 * 20 cm = 600 cm.
To find the maximum possible distance between Mars and Neptune, we subtract the distance between Mars and the Sun from the distance between Neptune and the Sun: 600 cm - 30 cm = 570 cm.
Therefore, the correct answer is b. 570 cm.
To find the maximum possible distance that can be drawn between Mars and Neptune in the scale model, we need to determine Neptune's distance from the sun in the scale model.
Given that 1 AU = 20 cm in the scale model, and Neptune is 30 AU away from the sun, we can calculate the distance of Neptune from the sun in the model:
Neptune's distance from the sun = 30 AU * 20 cm/AU
Neptune's distance from the sun = 600 cm
So, in the scale model, Neptune is 600 cm away from the sun.
To find the maximum possible distance between Mars and Neptune, we subtract the distance of Mars from the sun (30 cm) from the distance of Neptune from the sun (600 cm):
Maximum distance between Mars and Neptune = 600 cm - 30 cm
Maximum distance between Mars and Neptune = 570 cm
Therefore, the maximum possible distance that can be drawn between Mars and Neptune in the scale model is 570 cm. The correct answer is (b) 570 cm.
To determine the maximum possible distance that can be drawn between Mars and Neptune in the scale model, we need to calculate the distance between them and compare it to the conversion scale.
In the scale model, we know that 1 AU (astronomical unit) is equal to 20 cm. Therefore, Mars, which is 1.5 AU away from the Sun, would appear at 1.5 x 20 = 30 cm from the Sun.
Given that Neptune is 30 AU away from the Sun, we can calculate its equivalent distance in the scale model: 30 x 20 = 600 cm.
So, the maximum possible distance that can be drawn between Mars and Neptune in the scale model is 600 cm, which corresponds to option (b) 570 cm.
Therefore, the correct answer is (b) 570 cm.