Give an order of magnitude estimate for the following quantities:(a) the – [Free] B30
Give an order of magnitude estimate for the following quantities: (a) the height of a giraffe (b) the mass of an apple (c) the reaction time of a human (d) the diameter of a planet (e) the temperature in this room.
![Give an order of magnitude estimate for the following quantities:(a) the - [Free] B30](data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20viewBox='0%200%20299%20135'%3E%3C/svg%3E)
Answer
Measured in meters. Average height is 5–6 meters. Converted: 5 × 10¹ m – 6 × 10¹ m. As A ≥ 5, the Order of Magnitude = 10¹.
Measured in kilograms. Average mass is 100–200 grams. Converted: 0.1–0.2 kg = 1 × 10⁻¹ – 2 × 10⁻¹ kg. A < 5, so Order of Magnitude = 10⁻¹.
Measured in seconds. Average reaction time ≈ 250 milliseconds = 0.25 s. Converted: 0.25 s = 2.5 × 10⁻¹ s. A < 5, so Order of Magnitude = 10⁻¹.
Considering Earth: Diameter ≈ 1.28 × 10⁷ m. A = 1.28 < 5, so Order of Magnitude = 10⁷.
Measured in Kelvin. Estimated temperature ≈ 283 K. Converted to Celsius: 283 − 273.15 = 9.85°C. Expressed as: 0.985 × 10¹ A > 5, so Order of Magnitude = 10¹.