14. You did 170 J of work lifting a 140 N backpack. How high did you lift the backpack? Type a response 15. A crane does 62,500 J of work to life a boulder a distance of 25.0 m . How much did the boulder weigh? Type a response

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**14. Finding the Height**

1. The work done is given by the equation  
   $$
   W = F \times d
   $$
   where $$ W $$ is the work, $$ F $$ is the force, and $$ d $$ is the displacement (height in this case).

2. To find the height $$ d $$, rearrange the equation:
   $$
   d = \frac{W}{F}
   $$

3. Substitute the given values ($$ W = 170\text{ J} $$ and $$ F = 140\text{ N} $$):
   $$
   d = \frac{170\text{ J}}{140\text{ N}} \approx 1.2143\text{ m}
   $$

4. Thus, the backpack was lifted approximately $$ 1.21\text{ m} $$.

---

**15. Finding the Weight of the Boulder**

1. The work done by the crane is given by the same equation:
   $$
   W = F \times d
   $$

2. To solve for the weight $$ F $$ of the boulder, rearrange the equation:
   $$
   F = \frac{W}{d}
   $$

3. Substitute the given values ($$ W = 62{,}500\text{ J} $$ and $$ d = 25.0\text{ m} $$):
   $$
   F = \frac{62{,}500\text{ J}}{25.0\text{ m}} = 2500\text{ N}
   $$

4. Therefore, the boulder weighs $$ 2500\text{ N} $$.
**14. You lifted the backpack approximately 1.21 meters.** **15. The boulder weighs 2500 Newtons.**

14. You did 170 J of work lifting a 140 N backpack. How high did you lift the backpack? Type a response 15. A crane does 62,500 J of work to life a boulder a distance of 25.0 m . How much did the boulder weigh? Type a response

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