High School

A butcher has a beam balance and masses of 0.5 kg and 2 kg. How would he measure 1.5 kg of meat on the balance at once?

Answer :

Answer:

The balance has a normal force of 10 N.

Explanation:

We can draw the forces being acted on the beam balance through an FBD diagram. The masses 0.5 and 2 kg have a total gravitational force or [tex]F_G[/tex] of mg = (0.5 + 2)(10) = 25N. But the problem says that the balance only read 1.5 kg or in [tex]F_G[/tex], 15N (mg = 1.5 x 10).

So, there must be an opposing force acting on the balance, specifically a normal force, (from the balance's surface) that takes away some newtons from [tex]F_G[/tex].

We can set up an equation to find this force normal or [tex]F_N[/tex].

[tex]F_G-F_N=15N[/tex]

[tex]25N-F_N=15N[/tex]

[tex]25N-15N=F_N=10N[/tex]

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