Answer the questions about the following objects. Find the density of the follow

Question

Answer the questions about the following objects. Find the density of the following sphere. the radius of this sphere, r = 6cm, and the mass is 4,200 kg. find the buoyant force when this sphere is submerged in the liquid which density is 1.2 g/cm^3 Find the density of the object which has depicted in the following diagram. A battery has an emf of 6.50 V and an internal resistance of 60 ohm Its terminal arc connected to a load resistance of 1.240kohm Find voltage at the internal resistor Calculate the electric power to the load resistor.

Explanation / Answer

3) a) density = mass/volume

V = 4/3*pi*r^3

V = 4/3*pi*(6x10^-2)^3 = 9.048x10^-4 m^3

density = mass/voluyme = 4.2/9.048x10^-4

density = 4642.02 Kg/m^3

b) buoyant force = Volume*density of fluid*g

density of fluid = 1.2 g/cm^3 = 1200 kg/m^3

B = 9.048x10^-4*1200*9.8 = 10.64 N

c) Weight of object = 10 N

m*g = 10

m = 10/g

m = volume*density = 10/g

volume = 10/g*density

Weight of fluid = 7 N

Total weight after immersion = 12N

Total weight = Weight of object + Weight of fluid - buoyant force

12 = 10+7 - buoyancy force

buoyancy force = 17-12 = 5 N

Volume*density of fluid*g = 5 N

10*density of fluid*g/g*density of object = 5

density of object = 2*density of fluid

density of object = 2*1200 = 2400 kg/m^3

4) a) current = V/ (R+r)

i = 6.5 / (1.24x10^3 + 60)

i = 5x10^-3 A

voltage at internal resistor = i*r = 5x10^-3*60 = 0.3 V

b) power = i^2*R

P = [5x10^-3]^2*1.24x10^3 = 0.031 = 31x10^-3 W

P = 31 mW

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