a lever has a mechanical advantage of 4. if you apply force to the machine with a mass of 4 kg, at an acceleration of 2 m/s/s, what is the alpha first grade by the lever? Hint: use the equation FO= MA*Fi

A)0.5 N
B)32 N
C)32 J
D)0.5 J

1 answer

To find the alpha first grade (the force exerted by the lever), we can use the equation:

FO = MA * Fi

where,
FO is the output force (alpha first grade),
MA is the mechanical advantage (4),
Fi is the input force.

Given that the mechanical advantage is 4 and the input force (Fi) is the force applied to the machine, we can calculate the output force (FO) using the equation.

FO = 4 * Fi

Now, let's find Fi. Fi is the product of mass (m) and acceleration (a).

Fi = m * a
= 4 kg * 2 m/s^2
= 8 N

Substituting the value of Fi into the equation for FO:

FO = 4 * Fi
= 4 * 8 N
= 32 N

Therefore, the alpha first grade exerted by the lever is 32 N.
The answer is option B) 32 N.