A lever has a mechanical advantage of 4. If you apply a force to the machine with a mass of 4 kg, at an acceleration of 2 m/s/s, what is the output force created by the lever? Hint: Use the equation Fo=MA*Fi.
a
32 N
b
32 J
c
0.5 N
d
0.5 J
The correct answer is:
a) 32 N
We can use the formula:
MA = Fo/Fi
Where:
MA = mechanical advantage
Fo = output force
Fi = input force
Rearranging the equation, we get:
Fo = MA * Fi
We are given MA = 4 and Fi = m * a, where m = 4 kg and a = 2 m/s/s.
Fi = 4 kg * 2 m/s/s = 8 N
Fo = 4 * 8 N = 32 N
Therefore, the output force created by the lever is 32 N.
To find the output force created by the lever, we can use the formula:
Fo = MA * Fi
Here:
Fo = output force (unknown)
MA = mechanical advantage (given as 4)
Fi = input force (force applied to the machine with a mass of 4 kg and acceleration of 2 m/s/s)
Substituting the given values into the formula, we get:
Fo = 4 * (4 kg * 2 m/s/s)
Fo = 4 * 8 kg*m/s^2
Fo = 32 N
Therefore, the output force created by the lever is 32 N. Therefore, the correct answer is (a) 32 N.