Question

If a load of 600 N is overcome by a simple machine using an effort of 400 N. Calculate the mechanical advantage.​

Answer 1

Question :-

• If a Load of 600 N is overcome by a Simple Machine using an Effort of 400 N . Calculate the Mechanical Advantage .

Answer :-

• Mechanical Advantage is 1.5 .

`\rule {180pt} {2pt}`

Given :-

• Load = 600 N
• Effort = 400 N

To Find :-

• Mechanical Advantage = ?

Solution :-

As per the provided information in the given question, the Load is given 600 N . Effort is given as 400 N . And, we have been asked to calculate the Mechanical Advantage .

For calculating the Mechanical Advantage , we will use the Formula :-

`\bigstar \: \: \boxed{ \sf{ \: Mechanical \: Advantage \: = \: (Load)/(Effort) \: }}`

Therefore , by Substituting the given values in the above Formula :-

`\dag \: \: \sf{Mechanical \: Advantage \: = \: (Load)/(Effort) } \\`

`\longmapsto \: \: \sf{Mechanical \: Advantage \: = \: (600)/(400) } \\`

`\longmapsto \: \: \sf{Mechanical \: Advantage \: = \: (6)/(4) } \\`

`\longmapsto \: \: \sf{Mechanical \: Advantage \: = \: (3)/(2) } \\`

`\longmapsto \:\textbf{ \textsf{Mechanical Advantage = 1.5}} \\`

Hence :-

• Mechanical Advantage = 1.5 .

`\underline {\rule {180pt} {4pt}}`

Answer 2

‎ㅤ➙ Mechanical Advantage= 1.5

Solution:

Mechanical advantage allow to perform tasks much easier in terms of the force needed to apply, but must always obey the conservation of energy. Mechanical advantage is the measure of the ratio of output force to input force needed in a system, used to analysis the force in simple machines like livers and pulleys.

Mechanical advantage is given by:

`\qquad\hookrightarrow\quad {\pmb{\sf{MA =(Load)/(effort) }} }`

We are provided with:

• Load = 600 N
• Effort = 400 N

Therefore,

`:\implies\quad \sf{MA = (L)/(E) }`

`:\implies\quad \sf{ MA = \frac{6\cancel{00}}{4\cancel{00}}}`

`:\implies\quad \sf{MA=(6)/(4) }`

`: \implies\quad \sf{ MA =(3)/(2)}`

`: \implies\quad\underline{\underline{\pmb{ \sf{ MA = 1.5}}}}`

‎ㅤ‎ㅤ‎ ‎ㅤ‎ㅤ‎~Hence, the mechanical advantage is 1.5