1. density is mass per unit volume d= m+v density of water=1 g/cm(cubed) a. how

Question

1. density is mass per unit volume
d= m+v
density of water=1 g/cm(cubed)
a. how much mass does one liter of water have in grams?
b. if an object has a density of 0.85 g/cm(cubed) will it sink or will it float?

2. use dimensional analysis and the conversion factors tabulated above to calculate the weight of 1 gal of water (density=1 g/cm(cubed) ) in lb.

3. rock hill is about 27 miles from Charlotte. calculate that distance in km.

4. the speed limit on I-77 between rock hill and Charlotte is 60 mi/hr. calculate that speed in
a. mi/sec
b. mi/min
c.km/hr

Explanation / Answer

Sol1:

D=m/v

density of water= 1 gm/cm3

1=mass/1litre

1 litre=1000 ml

1litre =1000cm^3

d=m/v

m=d*v

=1(g/cm^3)1000(cm^3)

mass of water =1000 g

soluton1b:

if the density of object is more than density of water it sinks else it floats.

here object density=0.85 g/cm^3

<density of water 1 g/cm^3

object floats

Solution3:

1 km=0.6214 miles

? km=27 miles

=27/0.6214

  =43.45 km

Solution4

speed= 60 mi/hr.

1 hr=60 minutes

1 minute=60 sec

1hr=60*60=3600 sec

60 mi---> 1 hr

---------->1 sec

=60/3600

=0.0167miles/sec

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