On August 10, 1972, a large meteorite skipped across the atmosphere above the western United States and western Canada, much like a stone skipped across water. The accompanying fireball was so bright that it could be seen in the daytime sky and was brighter than the usual meteorite trail. The meteorite's mass was about 3.8 x 106 kg; it's speed was about 16 km/s. Had it entered the atmosphere vertically, it would have hit Earth's surface with about the same speed. (a) Calculate the meteorite's loss of energy (as a positive number, in joules) that would have been associated with the vertical impact. (b) Express the energy as a multiple of the explosive energy of 1 megaton of TNT, which is 4.2 x 1015 J. (c) The energy associated with the atomic bomb explosion over Hiroshima was equivalent to 13 kilotons of TNT. To how many Hiroshima bombs would the meteorite impact have been equivalent? (a) Number i Units (b) Number i Units (c) Number i Units >

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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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**Meteorite Energy Impact Analysis**

**Background:**
On August 10, 1972, a large meteorite skipped across the Earth's atmosphere over the western United States and western Canada, similar to a stone skimming across water. The resulting fireball was so bright it was visible in the daytime sky and outshone the typical meteorite trail. The meteorite's mass was approximately \(3.8 \times 10^6 \, \text{kg}\) and its speed was about 16 km/s. Had it entered the atmosphere vertically, it would have struck the Earth's surface at a similar speed.

**Tasks:**
- **(a) Energy Loss Calculation:** Compute the meteorite's energy loss, expressed as a positive number in joules, that would have accompanied a vertical impact.

- **(b) Energy Comparison to TNT:** Convert the meteorite's energy loss to a multiple of the explosive energy of 1 megaton of TNT, which is \(4.2 \times 10^{15} \, \text{J}\).

- **(c) Hiroshima Bomb Equivalence:** Compare the meteorite's energy to the atomic bomb explosion over Hiroshima, equivalent to 13 kilotons of TNT, and determine how many Hiroshima bombs the meteorite impact would correspond to.

**Response Fields:**
- **(a)** Response box for numerical value and units of energy loss
- **(b)** Response box for numerical expression in multiples of TNT
- **(c)** Response box for Hiroshima bomb equivalence

Students are required to insert their calculated values and select the appropriate units for each part of the exercise.
Transcribed Image Text:**Meteorite Energy Impact Analysis** **Background:** On August 10, 1972, a large meteorite skipped across the Earth's atmosphere over the western United States and western Canada, similar to a stone skimming across water. The resulting fireball was so bright it was visible in the daytime sky and outshone the typical meteorite trail. The meteorite's mass was approximately \(3.8 \times 10^6 \, \text{kg}\) and its speed was about 16 km/s. Had it entered the atmosphere vertically, it would have struck the Earth's surface at a similar speed. **Tasks:** - **(a) Energy Loss Calculation:** Compute the meteorite's energy loss, expressed as a positive number in joules, that would have accompanied a vertical impact. - **(b) Energy Comparison to TNT:** Convert the meteorite's energy loss to a multiple of the explosive energy of 1 megaton of TNT, which is \(4.2 \times 10^{15} \, \text{J}\). - **(c) Hiroshima Bomb Equivalence:** Compare the meteorite's energy to the atomic bomb explosion over Hiroshima, equivalent to 13 kilotons of TNT, and determine how many Hiroshima bombs the meteorite impact would correspond to. **Response Fields:** - **(a)** Response box for numerical value and units of energy loss - **(b)** Response box for numerical expression in multiples of TNT - **(c)** Response box for Hiroshima bomb equivalence Students are required to insert their calculated values and select the appropriate units for each part of the exercise.
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