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marysya
18 days ago
11

Object A and object B are initially uncharged and are separated by a distance of 1 meter. Suppose 10,000 electrons are removed f

rom object A and placed on object B, creating an attractive force between A and B. An additional 10,000 electrons are removed from A and placed on B and the objects are moved so that the distance between them increases to 2 meters. By what factor does the electric force between them change?
Physics
1 answer:
kicyunya [2.2K]18 days ago
6 0

Answer:

1

Explanation:

Let’s denote the charge magnitude for 10,000 electrons as q.

When object A loses charge q, it results in a total charge of +q (since electrons are negatively charged, their loss turns A positively charged). On the other hand, B, which gains q, assumes a charge of -q. They are initially 1 meter apart.

According to Coulomb’s law, the force acting between them is

F_1 = \dfrac{kq \times q}{1^2}

F_1 = kq^2

When an additional 10,000 electrons are stripped from A, its charge becomes +2q, while B’s charge becomes -2q. Now, they are 2 meters apart.

The force at this new distance is

F_2 = \dfrac{k\times2q \times 2q}{2^2}

F_2 = \dfrac{4kq^2}{4}

F_2 = kq^2 = F_1

\dfrac{F_2}{F_1}=1

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6 days ago
Jeff's body contains about 5.46 L of blood that has a density of 1060 kg/m3. Approximately 45.0% (by mass) of the blood is cells
ValentinkaMS [2425]

Answer:

a) Blood mass is m= 5.7876kg

b) The count of blood cells is  N_t=1.04*10^{13}

Explanation:

From the problem statement, we learn that

         The blood volume is  V_b = 5.46 \ L = \frac{5.46}{1000} = 0.00546m^3

         The density of blood is  \rho_b = 1060 kg/m^3

         % of blood which consists of cells is  = 45.0%

        the % of blood that is  plasma is  = 55.0%

        density of blood cells is  \rho_d = 1125kg/m^3

         % of cells that are white is  = 1%

        % of cells that are red is  = 99%

         The red blood cell diameter is  = 7.5 \mu m = 7.5*10^{-6}m

         The red blood cell radius is  = \frac{7.5*10^{-6}}{2} = 3.75*10^{-6}m

The mass is generally represented mathematically as

               m = \rho_b * V_b

Substituting values

            m = 1060 * 0.00546

               m= 5.7876kg

Cell mass is m_c = 45% of m

                         = 0.45 * 5,7876

                         = 2.60442 kg

The volume of cells is V_c = \frac{m_c}{\rho_d}

                                      = \frac{2.60442}{1125}

                                      = 2.315 *10^{-3} m^3

The white blood cells volume is V_w = 1% of the cells volume

                                                         = \frac{1}{100} * 2.315*10^{-3}

                                                       = 2.315*10^{-5}m^3

The volume of a single cell is V_s = 4 \pi r^3

                                                                        = 4*(3.142) * (3.75*10^{-6})^3

                                                                        = 2.21*10^{-16}m^3

The red blood cells volume is V_r = V_c - V_w

                                                           =2.315*10^{-3} - 2.315*10^{-5}

                                                           = 2.29*10^{-3}m^3

The total red blood cell count is  = \frac{V_r}{V_s}

                                                     = \frac{2.29 *10^{-3}}{2.21*10^{-16}}

                                                    = 1.037*10^{13}

The total white blood cell count is   =\frac{V_w}{V_s}

                                                          = \frac{2.315 * 10^{-5}}{2.21*10^{-16}}

                                                          = 1.04*10^{11}

The overall number of blood cells is  N_t= 1.037*10^{13} + 1.04*10^{11}

                                                        N_t=1.04*10^{13}

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17 hours ago
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(a) A 15.0 kg block is released from rest at point A in the figure below. The track is frictionless except for the portion betwe
serg [2593]

Answer:

(a) the coefficient of friction is 0.451

This was derived using the energy conservation principle (the total energy in a closed system remains constant).

(b) No, the object stops 5.35 m away from point B. This is due to the spring's expansion only performing 43 J of work on the block, which isn't sufficient compared to the 398 J required to overcome friction.

Explanation:

For more details on how this issue was resolved, refer to the attached material. The solution for part (a) separates the body’s movement into two segments: from point A to B, and from B to C. The total system energy originates from the initial gravitational potential energy, which transforms into work against friction and into work compressing the spring. A work of 398 J is needed to counteract friction over the distance of 6.00 m. The energy used for this is lost since friction is not a conservative force, leaving only 43 J for spring compression. When the spring expands, it exerts a work of 43 J back on the block, which is only sufficient to move it through a distance of 0.65 m, stopping 5.35 m short of point B.

Thank you for your attention; I trust this is beneficial to you.

4 0
20 days ago
If an electronic circuit experiences a loss of 3 decibels with an input power of 6 watts, what would its output power be, to the
Yuliya22 [2420]

Answer:

The output power of the circuit is 3 Watts.

Given:

a loss in decibels = 3 dB

Input power = 6 Watts

To find:

What is the output power?

Formula used:

Output power = Input power × loss in ratio

Solution:

3 dB loss corresponds to a ratio of 0.5

Output power can be calculated as follows:

Output power = Input power × loss in ratio

Output power = 6 × 0.5

Output power = 3 Watts

Therefore, the output power of the circuit is 3 Watts.

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4 days ago
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It's a snowy day and you're pulling a friend along a level road on a sled. You've both been taking physics, so she asks what you
Maru [2355]

Answer:

0.0984

Explanation:

The first diagram below illustrates a free body diagram that will aid in resolving this problem.

According to the diagram, the force's horizontal component can be expressed as:

F_X = F_{cos \ \theta}

Substituting 42° for θ and 87.0° for F

F_X =87.0 \ N \ *cos \ 42 ^\circ

F_X =64.65 \ N

Meanwhile, the vertical component is:

F_Y = Fsin \ \theta

Again substituting 42° for θ and 87.0° for F

F_Y =87.0 \ N \ *sin \ 42 ^\circ

F_Y =58.21 \ N

In resolving the vector, let A denote the components in mutually perpendicular directions.

The magnitudes of both components are illustrated in the second diagram provided and can be represented as A cos θ and A sin θ

The frictional force can be expressed as:

f = \mu \ N

Where;

\mu is the coefficient of friction

N = the normal force

Also, the normal reaction (N) is calculated as mg - F sin θ

Substituting F_Y \ for \ F_{sin \ \theta}. Normal reaction becomes:

N = mg \ - \ F_Y

By balancing the forces, the horizontal component of the force equals the frictional force.

The horizontal component is described as follows:

F_X = \mu \ ( mg - \ F_Y)

Rearranging the equation above to isolate \mu leads to:

\mu \ = \ \frac{F_X}{mg - F_Y}

Substituting in the following values:

F_X \ = \ 64.65 \ N

m = 73 kg

g = 9.8 m/s²

F_Y = \ 58.21 N

Thus:

\mu \ = \ \frac{64.65 N}{(73.0 kg)(9.8m/s^2) - (58.21 \ N)}

\mu = 0.0984

Therefore, the coefficient of friction is = 0.0984

5 0
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