Question

Полный медный шар плавает в воде при полном погружении. Чему равна масса шара, если объём воздушной полости равен 17,75 см в кубе?

Answer 1

Дано Vo=17,75 см3 m- ?

так как шар плавает m*g=p1*g*V

V=Vo+Vм=Vo+m/p2 p2=8,9 г/см3
m=p1*(Vo+m/p2)
m=p1*Vo+p1*m/p2
m*(1+p1/p2)=p1*Vo
m=p1*p2*Vo/(p1+p2)=1*8.9*17.75/9,9=15.96 г

Answer 2

Calculation of the Mass of the Copper Sphere

To calculate the mass of the copper sphere, we can use the following formula:

m = F / g

Where: - m is the mass of the sphere, - F is the buoyant force acting on the sphere, - g is the acceleration due to gravity.

The buoyant force can be calculated using the formula:

F = gV

Where: - V is the volume of the air cavity inside the sphere.

Given that the volume of the air cavity is 17.75 cm³, we can substitute this value into the formula:

F = g * 17.75 cm³

Now, we need to determine the value of the acceleration due to gravity, g. The standard value for g is approximately 9.8 m/s².

Converting the volume from cm³ to m³, we have:

V = 17.75 cm³ = 17.75 * 10^(-6) m³

Substituting the values into the formula, we have:

F = (9.8 m/s²) * (17.75 * 10^(-6) m³)

Calculating the value of F, we find:

F ≈ 0.00017245 N

Finally, we can calculate the mass of the sphere using the formula:

m = F / g

Substituting the values, we have:

m ≈ 0.00017245 N / 9.8 m/s²

Calculating the value of m, we find:

m ≈ 0.0000176 kg

Therefore, the mass of the copper sphere is approximately 0.0000176 kg or 0.0176 grams.

Please note that the above calculations are based on the assumption that the sphere is fully submerged in water and there are no other external forces acting on it.