After finding that objects of the same mass do not always float or submerge the same way in a tub of liquid, alexis wrote a new hypothesis to test objects that have the same mass.

if the surface area of an object increases, then it will float higher in the tub, because the object would need to displace more liquid in order to sink all the way down.

what is the dependent variable in this hypothesis?

Answers

C=2pir
SA=4pir^2

43.96=2pir
divide both sides by 2
21.98=pir
divide both sides by pi (aprox pi to 3.14)
7=r

SA=4pir^2
SA=4pi7^2
SA=4pi49
SA=196pi

aproxpi=3.14
sa=615.44 cm^2

the answer is d I just took the test

so obviously first of all find three sherical objects or balls of varioius sizes to make it easier get a large medium and small sized.

then on scratch paper sketch those objects (im assuming by the looks of it you would trace them if not just draw them then take measuring tape or a ruler across to measure said object) now you arent told what units to measure in but id assume to stick with one unit either inches or cm

mesure the length across which is the circumference

now you would just have to do your calculations by finding the radius and volume and surface area

remember volume is (*units) cubed and suface area is (*units) sqared

i think the answer is true

Explanation:

Given:

Velocity, v1 = 45 mph

Converting from mph to m/s,

45 mi/h × 1609.3 m/1 mi × 1 h/3600 s

= 20.12 m/s

surface area, A1 = 49 square feet

Converting ft^2 to m^2,

49 ft^2 × (0.305 m)^2/(1 ft)^2

= 4.56 m^2

Wind resistance, R1 = 496.125 Newtons.

Wind resistance, R2 = 164.25 Newtons

Surface area, A2 = 10 square feet

Converting ft^2 to m^2,

10 ft^2 × (0.305 m)^2/(1 ft)^2

= 0.93 m^2

Wind resistance, R is jointly proportional to velocity, v and surface area of the object, A

R = k (v × A)

R1/(v1 × A1) = R2/(v2 × A2)

v2 = R2 × (v1 × A1)/(R1 × A2)

= 164.25 × (20.12 × 4.56)/(496.125 × 0.93)

= 32.66 m/s

Converting from m/s to mph,

32.66 m/s × 1 mi/1609.3 m × 3600 s/1 h

= 73.06 mph

Answer

= 29 mph

Explanation

The first step is to calculate the constant of proportionality.

R ∝ KVA

R = KVA    Where R is resistance, K is constant, V is velocity and A is surface area.

397.575 = K × 57 × 31

k = 397.575//1,767

  = 0.225

The equation now is;

R = 0.225VA

228.375 = 0.225 × V × 35

V = 228.375/7.875

  = 29 mph

an object will be moving 73 mph to experience a wind resistance of 164.25 Newtons if it has a surface area of 10 square feet

Explanation:

given information:

object speed, v₁ = 45 mph

surface area, s₁ = 49 ft²

wind resistance, R₁ = 496.125 N

if

R₂ = 164.25 N

s₂ = 10 ft²

v₂ =  ?

first we need to find the k from the first case. we know that

R₁ = k v₁ s₁

k = R/(v s)

  = 496.125/(45 x 49)

  = 0.225

now we can find the v₂

R₂ = k v₂ s₂

v₂ = R₂/ k s₂

   = 164.25/(0.225 x 10)

   = 73 mph

A D

Explanation:

1.The answer is; C

The geosphere is made up of the physical rocks (composed of metals and minerals) and magma in the different layers. These densities of these rocks surpass those of other spheres such as the atmosphere and hydrosphere.


2.The answer is; B

Destructive forces break down land. Weathering and erosion are categorized as slow destructive forces because they take many years for their effect to be perceptible to the human's scale. Quick destructive forces are forces such as earthquakes and tsunamis.


3.The answer is; B

The atmosphere on earth is mainly composed of molecular nitrogen at 78%. Oxygen takes up 21% and other gases found in the atmosphere are hydrogen, carbon dioxide,ozone, dust, and water vapor at 1%.


4.The answers that apply are ; A & B

The formula for gravity force is given by the equation.; F(gravity) = (G*m1*m2)/d^2 where G is the gravitational constant, m1 and m2 are the masses of the two objects, and d is the distance between them.


5.The answer is; C

The force of inertia is due to their celestial mass. The larger the mass the higher the inertia. Inertia is the tendency of a moving object to maintain a straight path without an external force applied to it. This, therefore, prevents the moon from being pulled into collision with the earth. Gravity, on the other hand, prevents the moon from flying out of its orbit and away into space.

1. IS ACTUALLY C. Geosphere dont listen to that person. I took a test about this and it was C. and YOUR WELCOM if I was correct so yay!



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