Answer:
The force the construction crew must apply to the lever is 266.67 N
Explanation:
Mechanical advantage is the measure of the ratio of output force to input force in a system. Hence, mechanical advantage (MA) is given by the formula
[tex]MA = \frac{F_{o} }{F_{i} }[/tex]
Where MA is the mechanical advantage
[tex]F_{o}[/tex] is the output force
and [tex]F_{i}[/tex] is the input force
From the question, the mechanical advantage of the lever is 6
That is, MA = 6
and the lever applies a force of 1600 N to the rock
That is, Output force, [tex]F_{o}[/tex] = 1600 N
To determine the force the construction crew must apply to the lever, that is the input force, [tex]F_{i}[/tex]
From
[tex]MA = \frac{F_{o} }{F_{i} }[/tex]
We can write that
[tex]F_{i} = \frac{F_{o} }{MA}[/tex]
Then,
[tex]F_{i} = \frac{1600N}{6}[/tex]
[tex]F_{i} = 266.67 N[/tex]
Hence, the force the construction crew must apply to the lever is 266.67 N.
The force that the construction crew must apply is 266.67 N.
A machine is a device in which the effort applied at one end is used to overcome a load at another end. The mechanical advantage is the ratio of load to effort of a machine.
We have the following information;
Mechanical advantage (MA) = 6
Load = 1600 N
Effort = ?
Substituting values;
6 = 1600N/Effort
Effort = 1600N/6
Effort = 266.67 N
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