Answer:
[tex] \boxed{40 \: cm}[/tex]
Explanation:
Load ( L ) = 800 N
Effort ( E ) = 200 N
Load distance ( LD ) = 10 cm
Effort distance ( ED ) = ?
now, Let's find the effort distance:
[tex] \mathsf{L \times LD = E \times ED}[/tex]
Plug the values
[tex] \mathsf{800 \times 10 = 200 \times ED}[/tex]
Multiply the numbers
[tex] \mathsf{8000 = 200 \: ED}[/tex]
Swipe the sides of the equation
[tex] \mathsf{200 \: ED = 8000}[/tex]
Divide both sides of the equation by 200
[tex] \mathsf{ \frac{200 \: ED }{200} = \frac{8000}{200} }[/tex]
Calculate
[tex] \mathsf{ED \: = \: 40 \: cm}[/tex]
Hope I helped!
Best regards!
