Answer:
2.5 m
Step-by-step explanation:
Load ( L ) = 500 N
Effort ( E ) = 200 N
Load distance ( LD ) = 3 m
Effort distance ( ED ) = ?
Now, Let's find the Effort distance ( ED )
We know that,
Output work = Input work
i.e L × LD = E × ED
plug the values
![500 * 3 = 200 * </strong><strong>ED</strong><strong>](https://img.qammunity.org/2021/formulas/physics/high-school/l1l0fbw0erfnbyvsk618fako3qvsf5z15t.png)
multiply the numbers
![1500 = 200 * </strong><strong>ED</strong><strong>](https://img.qammunity.org/2021/formulas/physics/high-school/l9sio533wh8cm5189lnfjeqbsc2kxii3g4.png)
Swipe the sides of the equation
![200 \: </strong><strong>ED</strong><strong> \: = 500](https://img.qammunity.org/2021/formulas/physics/high-school/8fbh6qwv18rfvxjw54x9kcs0bjsvo6a4qd.png)
Divide both sides of the equation by 200
![(200 \: </strong><strong>ED</strong><strong>)/(200) = (500)/(200)](https://img.qammunity.org/2021/formulas/physics/high-school/yxr93yspd9d02huoq5onag0yevn4m7162a.png)
Calculate
![</strong><strong>ED</strong><strong>\: = 2.5 \: m](https://img.qammunity.org/2021/formulas/physics/high-school/n92y1wdxvwbavw9ez8py0na1lmnqs26s9l.png)
Hope this helps..
best regards!!