1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Simora [160]
3 years ago
10

Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 2.9 kg at (

0.0, 3.2) m, and 4.0 kg at (2.5, 0.0) m. Where should a fourth object of 8.3 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m
Physics
1 answer:
Sauron [17]3 years ago
5 0

Answer:

x = -1.20 m

y = -1.12 m

Explanation:

as we know that four masses and their position is given as

5.0 kg (0, 0)

2.9 kg (0, 3.2)

4 kg (2.5, 0)

8.3 kg (x, y)

As we know that the formula of center of gravity is given as

x_{cm} = \frac{m_1 x_1 + m_2x_2 + m_3x_3 + m_4x_4}{m_1 + m_2 + m_3 + m_4}

0 = \frac{5(0) + 2.9(0) + 4(2.5) + 8.3 x}{5 + 2.9 + 4 + 8.3}

10 + 8.3 x = 0

x = -1.20 m

Similarly for y direction we have

y_{cm} = \frac{m_1 y_1 + m_2y_2 + m_3y_3 + m_4y_4}{m_1 + m_2 + m_3 + m_4}

0 = \frac{5(0) + 2.9(3.2) + 4(0) + 8.3 y}{5 + 2.9 + 4 + 8.3}

9.28 + 8.3 x = 0

x = -1.12 m

You might be interested in
The state in which a star's gravitational collapse is balanced between gravity pushing inward and gas pressure pushing outward i
Andrew [12]
The relation between temperature and pressure is called the "equation of state of the gas". or "Hydrostatic equilibrium in ordinary star". Take for example a balloon, it will have a larger spherical shape, if the pressure inside exerted by the gas on a wall of a balloon balance the inward force exerted by the outside atmospheric pressure.  In a dying star which is being compressed by gravity, the gas is being squeezed so the molecules is moving rapidly, resulting to a very high temperature, and this provide a balance that counteract or balances the compressive force of gravity. The very high temperature inside the star is needed to balance the force of gravity, and it is provide by "nuclear fusion energy" or else the star would collapse under the force of gravity. Depending on the size or mass of the star, it will either become, a "neutron star" or a "black hole".                 
5 0
3 years ago
Read 2 more answers
Calculate the index of refraction for a medium in which the speed of light is 2.1x 108 m/s. The speed of light in vacuum is 3x10
strojnjashka [21]

Answer:

n = 1.42

Explanation:

The refractive index for a medium is given by the ratio of the speed of light in vacuum to the speed of light in a medium.

n=\dfrac{c}{v}\\\\n=\dfrac{3\times 10^8}{2.1\times 10^8}\\\\n = 1.42

So, the refractive index of the medium is 1.42.

5 0
3 years ago
If the mass of a material is 50 grams and the volume of the material is 5 cm^3, what would the density of the material be?
kotykmax [81]
D = M / V

D = 50 / 5

D = 10 g/cm^3
5 0
3 years ago
Read 2 more answers
A(n) 2602 kg van runs into the back of a(n)
forsale [732]

Answer:

8.5 m/s

Explanation:

please see paper for the work!

8 0
3 years ago
Two equal, but oppositely charged particles are attracted to each other electrically. The size of the force of attraction is 48.
galina1969 [7]

Given:

The force of attraction is F = 48.1 N

The separation between the charges is

\begin{gathered} r=\text{ 60.9 cm} \\ =\text{ 60.9}\times10^{-2}\text{ m} \end{gathered}

Also, the magnitude of charge q1 = q2 = q.

To find the magnitude of charge.

Explanation:

The magnitude of charge can be calculated by the formula

\begin{gathered} F=\frac{k(2q)}{r^2} \\ q=\frac{Fr^2}{2k} \end{gathered}

Here, k is the Coulomb's constant whose value is

k\text{ = 9}\times10^9\text{ N m}^2\text{ /C}^2

On substituting the values, the magnitude of charge will be

\begin{gathered} q=\frac{48.1\times(60.9^\times10^{-2})^2}{2\times9\times10^{^9}} \\ =9.91\times10^{-10}\text{ C} \\ =9.91\times10^{-4}\text{ }\mu C \end{gathered}

Thus, the magnitude of each charge is 9.91 x 10^(-4) micro Coulombs.

6 0
1 year ago
Other questions:
  • A 397-N wheel comes off a moving truck and rolls without slipping along a highway. At the bottom of a hill it is rotating at 25.
    10·1 answer
  • Explain how a volcanologist can piece together the history of a volcano by studying the rock that makes up the volcano
    10·1 answer
  • a car accelerates from rest at 3 m / s^2 along a straight road. how far has the car travelled after 4 s
    7·1 answer
  • Whenever you work a physics problem you should get into the habit of thinking about whether the answer is physicallyrealistic. T
    5·1 answer
  • During the new moon phase, why is the Moon not visible in the sky?
    7·1 answer
  • What is the magnitude of the electric field at the point if the electric potential in the region is given by V 2.00xyz2, where V
    13·1 answer
  • Balance the equation-<br> Al+Mn02 ———-&gt; Mn + Al2O3
    6·1 answer
  • Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of 167 cm , but its circumference is decreasi
    12·1 answer
  • A certain part of a flat screen TV has a thickness of 150 nanometers. How many meters is this?
    8·1 answer
  • Your English teacher runs 0.80 km north and 1.20 km west. What is the magnitude of the resultant vector of this position?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!