asked 41.4k views
4 votes
Suppose a pulley with an IMA of 2 was used with an input force of 50 N to lift a box45 cm that weighs 100 N. What distance was the rope pulled?

asked
User Gjordis
by
8.4k points

2 Answers

0 votes
The mechanical advantage of output force/input force comes from the grater distance the pulley rope moves. The work has to be the same, by conservation of energy: 50 x = (100)(45) where x is the distance the rope was pulled.

x = 90 cm
6 votes

Answer:

90 cm.

Step-by-step explanation:

To calculate the distance the cable was pulled, we need to make a very simple calculation.

first we have to multiply the box related values that are 45 cm and 100 N.

When we multiply, we get the value 4500.

Now we need to know how many centimeters a 50 N force was able to pull the box. For this, let's divide the value 4500 by 50N.

By dividing we will have the value of 90cm

answered
User John Lyon
by
8.5k points
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