Question

If two balls have the same mass, but ball P is twice as large as ball Q, which one will have the greater density?

Answer 1

a. Ball P

What is density.

Density is define as mass per unit volume or the quantity per unit volume, unit area, or unit length.

If $m_{1}$ is mass ,  $V_{1}$ is volume and $D_{1}$  is density of ball P

$m_{2}$  is mass ,  $V_{2}$ is volume and $D_{2}$ is density  of ball Q

It is given that  ,

$V_{1}$ = $V_{2}$;

But  $m_{1}$= $2m_{2}$

Based on above equation we have:

$\frac{D_{1} }{D_{2} } = (\frac{m_{1} }{V_{1} } )* (\frac{m_{2} }{V_{2} } )\\ \\= (\frac{2m_{2} }{V_{2} })*(\frac{V_{2} }{m_{2} }) \\\\= 2$

Thus, density of ball P is twice that of Q.

Therefore ,

Ball  P will have a greater density than Q

Learn more about density here:brainly.com/question/15164682

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