Question #9b43a

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Answer 1 · 2018-01-19T12:28:29

0.185 kg

Archimedes Principle tells us that for a floating body of mass $sf(m)$ , the upthrust = the weight of water displaced:

$sf(U=mg)$

Water has a density $rho$ of $sf(1000color(white)(x)"kg""/""m"^3)$

This means that:

$sf(U=(rhoxxv)gcolor(white)(x)N)$

$:.$ $sf(U=1000xx0.00250=0.250gcolor(white)(x)N)$

This will be equal to the total weight of the cup + coins.

$:.$ $sf(mcancel(g)=0.250cancel(g)color(white)(x)N)$

This means that the total mass of the cup + coins $=sf(0.250color(white)(x)kg)$

The mass of coins alone will therefore be

$sf(0.250-0.0650=0.185color(white)(x)kg)$