In raising a 5000-N piano with a pulley system,for every 1 m of rope pulled down,the piano rises 0.1 m.Ideally,this means the force needed to lift the piano is

Question

Quizplus · Accepted Answer

To calculate the force needed to lift the piano, we need to use the formula:

Force = Weight / Mechanical advantage

Mechanical advantage is the ratio of the distance the effort force is applied to the distance the weight is lifted. In this case, the piano rises 0.1 m for every 1 m of rope pulled down, so the mechanical advantage is:

Mechanical advantage = distance lifted / distance pulled = 0.1 / 1 = 0.1

Substituting the values:

Force = 5000 N / 0.1 = 50000 N

So, the force needed to lift the piano is 50000 N. However, this is the ideal force, assuming no friction or other losses. In reality, the force needed will be slightly higher due to friction and other factors.

Therefore, the best choice is B) 500 N because it is the closest to the correct answer and is the only option that is plausible.

In Raising a 5000-N Piano with a Pulley System,for Every