The Physics of Scaling Lab
Choose the correct answer for each question.
1
If the radius of a sphere increases, then which of the following increases the most rapidly?
The surface area
The volume
The density
The drag force
Everything changes at the same rate.
2
If the radius of a sphere with surface area of 4 sq. meters is multiplied by 5 then the new surface area becomes __?___ sq meters.
10
20
100
200
500
3
If the radius of a sphere increases by a factor of 5 then the volume of the sphere goes from 8 cubic meters to ______ cubic meters.
40
200
300
600
1000
4
The rate of cooling for a sphere made of copper is greatest when---->
the surface area is large
the volume is large
The ratio of surface area to volume is large.
The ratio of surface area to volume is small.
The density does not change!
5
The strength of a bone in an endoskeleton depends upon the bone's __?___.
Cross sectional area
The length of the bone
The weight of a bone.
width only
height only
6
The amount of body heat produced by a mammal is deternined by the ________ of the body.
Height
Surface area
Length
size of the stomach
Weight
7
Smoking often causes emphysema, a disease that creates large sacs where many small air sacs existed. This is a problem because____.
Large sacs are heavy.
Large sacs absorb too much oxygen.
Large sacs are not a problem.
Large sacs make you hungry.
It decreases the surface area to volume ratio and reduces the oxygen received,
8
Why do elephants have large ears?
To chase off flies.
To hear better.
To fly like Dumbo.
Because large animals have small surface area to volume ratios and must find other ways to cool off!
To increase volume.
9
Why are insects so strong for their size?
Their ratio of cross sectional area (skeleton strength) to volume (weight) is large.
They are small.
They have more legs.
Their ratio of cross sectional area (skeleton strength) to volume (weight) is small .
Their ratio of surface area (skeleton strength) to volume (weight) is constant .
10
Whales are large creatures that somehow are able to support large weight with an inadequate surface area for bones to weight ratio. How does this happen?
The bones are made of unusally strong material
The shape of the whale makes it stronger.
The water helps support the whale by providing buyouncy force.
The whales are not mobile.
They have an exoskeleton.