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julia-pushkina [17]
4 years ago
7

What mass of a material with density rho is required to make a hollow spherical shell having inner radius r1 and outer radius r2

? (Use any variable or symbol stated above as necessary.)
Physics
1 answer:
satela [25.4K]4 years ago
8 0

Answer:

\frac{4}{3}\rho\pi(r_2^3 - r_1^3)

Explanation:

The volume of the shell is the difference between the volume of the outer sphere and the volume of the inner sphere

V = V_o - V_i = \frac{4}{3}\pi r_2^3 - \frac{4}{3}\pi r_1^3

V = \frac{4}{3}\pi(r_2^3 - r_1^3)

The mass of the shell is the product of the volume and its density

m = V\rho = \frac{4}{3}\rho\pi(r_2^3 - r_1^3)

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There are initially No nuclei in a radioactive source. After a time interval of three half-lives, what is the number of nuclei t
ladessa [460]

The number of nuclei that have decayed after three half-lives is 12.5% of the original mass.

<h3>What is half live of radioactive isotope?</h3>

The half life of a radioactive isotope is the time taken for the element to decay to half of its original mass.

<h3>Number of nuclei decayed after 3 half lives</h3>

N = N₀/(2³)

N = N₀/8

N = 0.125N₀

N = 12.5% of N₀

where;

  • N is n number of nuclei that have decayed after 3 half lives
  • N₀ is the original mass

Thus, the number of nuclei that have decayed after three half-lives is 12.5% of the original mass.

Learn more about half life here: brainly.com/question/10525285

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6 0
2 years ago
Describe a process that converts chemical energy to thermal energy
m_a_m_a [10]
The energy stored in the chemical bonds are released and the energy causes surrounding molecules to move faster. Chemical energy released as the coal is burned heats water and turns it to steam
7 0
4 years ago
Why is a simple cell importable​
densk [106]
Simple cellll importable
Ikr
Answer:


Explanation:



8 0
3 years ago
An asteroid of mass 5.7×104 kg carrying a negative charge of 14.0 μC is 190 m from a second asteroid of mass 5.5×104 kg carrying
Finger [1]

Answer:

repulsion force es  R = 5,224 10⁻³ N

Explanation:

We use Newton's second law to add forces, the elective force is repulsive because the asteroids have the same type of charge and gravitational force is always attractive.

Gravitational force

      Fg = G m1 m2 / r²

      Fg = 6,673 10⁻¹¹ 5.7 10⁴ 5.5 10⁴/190²

      Fg = 5,795 10⁻⁶ N

Electric force

     Fe = k q1 q2 / r²

     Fe = 8.99 10⁹ 14.0 10⁻⁶ 15.0 10⁻⁶ / 190²

     Fe = 5.2296 10⁻³ N

The resulting force is

     R = Fe - Fg

     R = 5.2296 10⁻³ - 5.795 10⁻⁶=  5229.6 10⁻⁶ - 5,795 10⁻⁶

     R = 5,224 10⁻³ N

this is a repulsive force and the asteroids move away from each other

7 0
3 years ago
5. A construction worker on a high-rise building is on a platform suspended between two cables as illustrated below. The constru
Natalka [10]

Answer:

a) Tc = 750 [N]  ;b) See the explanation below.

Explanation:

To solve this problem, we first need a graphical explanation of this, as well as knowing the corresponding questions. Therefore, a search was carried out in google, in the attached image we will find a graphical description of the problem.

b)

The solution of this type of problem corresponds to the use of Newton's third law, applying static which tells us that the sum of the forces in a system in equilibrium without movement must be equal to zero.

a)

In this way we can find by means of a sum of forces on the y axis equal to zero:

- 850 - 450 + 550 + Tc = 0

Tc = 750 [N]

4 0
3 years ago
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