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Question
The following table gives the range of a particle when thrown on different planets. All the particles are thrown at the same angle with the horizontal and with the same initial speed. Arrange the planets in ascending order according to their acceleration due to gravity, (g value).
| Planet | Range |
| Jupiter | 50 m |
| Earth | 75 m |
| Mars | 90 m |
| Mercury | 95m |
Solution
Range = `v^2/g` sin 2θ ∴ g ∝ `1/"range"`
Ascending order of the planet with respect to their “g” is Mercury, Mars, Earth, Jupiter.
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