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

**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 \( 2500\text{ N} \).