A balanced lever has two weights on it, the first with mass #34 kg # and the second with mass #68 kg#. If the first weight is # 3 m# from the fulcrum, how far is the second weight from the fulcrum?

1 Answer
May 16, 2017

Answer:

The second weight #68kg# is #1.5m# from the fulcrum.

Explanation:

The balanced lever is a simple scale in this configuration.
If the two weights balance each other then the distance from the fulcrum to each must be in proportion to the two weights.

That is: #w_1*d_1=w_2.d_2#

We were told that:

#w_1=34kg; w_2=68kg; d_1=3m#

So: #34kg*3m=68kg*d_2#

#cancel(34kg)*3m=cancel(68kg)*d_2#

#2d_2=3m#

#d_2=1.5m#