Question

HELP ME!Однородная деталь из сплава с плотностью 2000кг/м3 имеет массу 18 кг. А её точная копия, но в 2 раза меньших размеров, сделанная из сплава с плотностью 4000кг/м3, оказалась массой 3 кг. Есть подозрение, что внутри копии существует скрытая полость. Какой у неё объём? Ответ дать всм3. Округлите до целых.

Answer 1

Лано:

p1=2000кг/м3

m1=18 кг

p2=4000кг/м3

m2=3 кг

Найти:ΔV2,V3

Решение:

V1=m1/p1=18 кг:2000кг/м3=0,009 м3

V2=1/2V1=1/2*0,009 м3=0,0045

V3=m2/p2=3 кг/4000 кг/м3=0,00075 м3

ΔV2,V3=V2-V3=0,0045 м3 - 0,00075 м3=0,00375 м3=3750 см3

Ответ:ΔV2,V3

 

P.S

Δ- дельта

V2-объем со скрытой полостью

V3-объем без скрытой полости

 

 

 

Answer 2

Problem Analysis

We are given a homogeneous object made of an alloy with a density of 2000 kg/m^3 and a mass of 18 kg. A smaller replica of the object, made of an alloy with a density of 4000 kg/m^3, has a mass of 3 kg. We suspect that there is a hidden cavity inside the replica. We need to find the volume of the cavity in cm^3.

Solution

To solve this problem, we can use the relationship between mass, density, and volume:

Density = Mass / Volume

Let's denote the volume of the original object as V1 and the volume of the cavity in the replica as V2.

From the given information, we have the following equations:

Equation 1: Density1 = Mass1 / V1 Equation 2: Density2 = Mass2 / (V1 - V2)

We can rearrange Equation 1 to solve for V1:

V1 = Mass1 / Density1

Substituting the values from the problem statement, we have:

V1 = 18 kg / 2000 kg/m^3

Now, let's rearrange Equation 2 to solve for V2:

V2 = V1 - (Mass2 / Density2)

Substituting the values from the problem statement, we have:

V2 = V1 - (3 kg / 4000 kg/m^3)

Let's calculate the values of V1 and V2.

Calculation

Using the given values, we can calculate the volume of the original object (V1) and the volume of the cavity (V2).

V1 = 18 kg / 2000 kg/m^3 = 0.009 m^3

V2 = V1 - (3 kg / 4000 kg/m^3) = 0.009 m^3 - 0.00075 m^3 = 0.00825 m^3

Conversion to cm^3

To convert the volume from m^3 to cm^3, we can use the conversion factor:

1 m^3 = 1,000,000 cm^3

Converting V2 to cm^3:

V2_cm3 = V2 * 1,000,000 = 0.00825 m^3 * 1,000,000 = 8250 cm^3

Answer

The volume of the hidden cavity inside the replica is 8250 cm^3.

Please let me know if there is anything else I can help you with!