**AP Physics 1 Question 238: Answer and Explanation**

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**Question: 238**

**8.** At the surface of Earth, an object of mass *m* has weight *w*. If this object is transported to an altitude that is twice the radius of Earth, then at the new location,

- A. its mass is
*m*and its weight is*w*/2 - B. its mass is
*m*/2 and its weight is*w*/4 - C. its mass is
*m*and its weight is*w*/4 - D. its mass is
*m*and its weight is*w*/9

**Correct Answer:** D

**Explanation:**

**D**

Mass is an intrinsic property of an object and does not change with location. This eliminates (B). If an object's height above the surface of the Earth is equal to 2*R*_{E}, then its distance from the center of the Earth is 3*R*_{E}. Thus, the object's distance from the Earth's center increases by a factor of 3, so its weight decreases by a factor of 3^{2} = 9.