A force of 2.0 Ă— 102 newtons is applied to a lever to lift a crate. If the mechanical advantage of the lever is 3.43, what is the weight of the crate? A. 2.0 Ă— 102 newtons B. 58 newtons C. 6.9 Ă— 102 newtons D. 7.1 Ă— 102 newtons

Respuesta :

Answer:

C. [tex]6.9\times 10^2\ \text{N}[/tex]

Explanation:

[tex]\text{Supplied force}=2\times 10^2\ \text{N}[/tex]

M = Mechanical advantage = 3.43

Mechanical advantage is given by

[tex]M=\dfrac{\text{Weigh of crate}}{\text{Supplied force}}\\\Rightarrow \text{Weigh of crate}=M\times \text{Supplied force}\\\Rightarrow \text{Weigh of crate}=3.43\times 2\times 10^{2}\\\Rightarrow \text{Weigh of crate}=6.86\times 10^2\ \text{N}\approx 6.9\times 10^2\ \text{N}[/tex]

The weight of the crate is [tex]6.9\times 10^2\ \text{N}[/tex].

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