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A force of 2.0 × 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 × 102 newtons B. 58 newtons C. 6.9 × 102 newtons D. 7.1 × 102 newtons

Sagot :

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].