A crowbar is being used with an actual mechanical advantage of 8. If the input force is 400 newtons on

the 0.3-meter-long end of the crowbar, what is the output force on the short end? (1 point)

960 N

120 N

3,200 N

50 N

1 answer

The actual mechanical advantage (AMA) of a machine is defined as the ratio of the output force (F_out) to the input force (F_in):

\[ AMA = \frac{F_{out}}{F_{in}} \]

Given:

  • AMA = 8
  • Input force, \( F_{in} = 400 \) N

We can rearrange the formula to solve for the output force:

\[ F_{out} = AMA \times F_{in} \]

Substituting the values:

\[ F_{out} = 8 \times 400 , \text{N} = 3200 , \text{N} \]

Thus, the output force on the short end of the crowbar is:

\[ \boxed{3200 , \text{N}} \]