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A man can crack a nut by applying a force of 100 N a lever of length 0.5 m. What should be the length of the lever if he wants to use a force of 75 N to crack the nut?​
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17 votes
17 votes
A man can crack a nut by applying a force of 100 N a lever of length 0.5 m. What should be the length of the lever if he wants to use a force of 75 N to crack the nut?​

User Kevinpeterson
by
2.7k points

2 Answers

20 votes
20 votes

Answer:

So, to apply the force of 75N length of nut cracker should be 66.6 cm

User Cyberherbalist
by
2.9k points
29 votes
29 votes

Answer:

Step-by-step explanation:

Given:

F₁ = 100 N

L₁ = 0.5 m

F₂ = 75 N

__________

L₂ - ?

According to the rule of moments:

M₁ = M₂

F₁·L₁ = F₂·L₂

The length of the lever:

L₂ = F₁·L₁ / F₂

L₂ = 100·0.5 / 75 ≈ 0.67 m

User RajSharma
by
2.9k points
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