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I expect that they will add, and their effect at every location will be the sum of their individual effects at that location.

For example:

If they're acting at the same point and in opposite directions, the effect will be the same as a single force at that point, with strength equal to their difference, and in the direction corresponding to whichever one is stronger.

The period of the pendulum is approximately 4.55 seconds (1.45π seconds).

The period of a pendulum can be calculated using the formula T=2π√(L/g), where T is the period in seconds, L is the length of the pendulum in meters, and g is the acceleration due to gravity in m/s^2. In this case, the pendulum has a length of 5.15 m and the acceleration due to gravity is 9.8 m/s^2.

Using the formula, we can find the period of the pendulum as follows:

T=2π√(L/g)
T=2π√(5.15/9.8)
T=2π√0.525
T=2π(0.725)
T=1.45π

Consequently, the pendulum's period is roughly 4.56 seconds. The pendulum swings fully from one side to the other and back again in 4.56 seconds, according to this calculation. The period of a pendulum increases with its length and decreases with its length. Similar to how a period shortens with increasing gravity, it lengthens with decreasing gravity.

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Answer:

5 g

Explanation:

500 mg x 10 = 5000 mg

5000 x 10^-3 g = 5 g

Hello..!

To solve the problem and calculate the number of pills in the package, we will use the conversion factor.

The conversion factor or unit factor is a conversion method that is based on multiplying by one or more fractions where the numerator and denominator are equal quantities expressed in different units of measure, so that each fraction is equivalent to the unit.

Find out that 1 gram has a total of 1000 mg.

Problem:

How many g are in a carton containing 10 tablets of 500 mg each?

According to the previous text we can say that the conversion factor would be:

\( \: \: \: \: \: \qquad \qquad \large \sf\dfrac{1\ g}{1000\ mg}\)

Now we must find out that the box has a total of 10 pills of 500 mg, so to know how many grams the box has we must know how many grams only one pill weighs:

\( \sf \qquad\boxed{\boxed{ \sf\large 500\ mg*\dfrac{1\ g}{1000\ mg}= 0.5\ g}}\)

We know that a pill weighs 0.5 grams, now to calculate how many grams the box weighs we must multiply the total pills by the weight of just one pill:

\(\qquad \boxed{\boxed{ \sf\large 0.5\ g\times 10= 5\ g}}\)

We conclude that one box contains 5 grams of tablet, option 1.

\(\begin{gathered}\rule{7cm}{0.01mm}\\\texttt{Good studies! :D}\\\rule{7cm}{0.01mm}\end{gathered}\)

When the charges are pushed to a separation of 1.0 meter, the force on each charge will be 18.0 N.

According to Coulomb's law, the force between two charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them. Let's denote the initial separation as d₁ = 3.0 meters and the final separation as d₂ = 1.0 meter.

Initially, when the charges are 3.0 meters apart, they exert a 2.0 N force on each other. We can set up the following equation:

F₁ = k * (q₁ * q₂) / (d₁²)

where F₁ is the force at the initial separation, k is Coulomb's constant, q₁ and q₂ are the magnitudes of the charges, and d₁ is the initial separation.

Now, we can find the value of k * (q₁ * q₂) using the given information. Dividing both sides of the equation by k * (q₁ * q₂) gives:

F₁ / (q₁ * q₂) = 1 / (d₁²)

Substituting the values F₁ = 2.0 N and d₁ = 3.0 meters, we get:

2.0 N / (q₁ * q₂) = 1 / (3.0 meters)²

Simplifying this equation, we find:

(q₁ * q₂) = 2.0 N * (3.0 meters)²

Now, let's determine the force on each charge when they are pushed to a separation of 1.0 meter. Using the same equation as before:

F₂ = k * (q₁ * q₂) / (d₂²)

Substituting the known values of (q₁ * q₂) and d₂, we get:

F₂ = (2.0 N * (3.0 meters)²) / (1.0 meter)²

Simplifying this equation, we find:

F₂ = 18.0 N

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Answer:

The value of mass 1, m1= 6/5m

The value of mass 2, m2= 3/5m

Explanation:

case 1:

here tension and the acceleration will be:

for m1;

for m2:

adding the both equations,

2mg - 2T + 2T-mg = 2ma + ma/2

a = 2/5 g

putting the value of a into the equation 1.

mg - T = m* (2/5)g

T = 3/5 ( mg )

now

case 2:

The two identical blocks are released from the rest, the tension remains the same as the case 1.

so,

for m1:

for m2:

adding both equations we get,

2T-m2g + 2m2g - 2T = 0

m2 = m1 / 2

T = m1*g / 2

here we know that

T (case1) = T (case2)

3/5 ( mg ) = m1*g / 2

m1 = 6/5 m

hence

m2 = 3/5 m

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Answer: A

Explanation:

According to Ohm's law, the current through a resistor is directly proportional to the voltage across it and inversely proportional to its resistance. Mathematically, Ohm's law can be represented as I = V/R, where I is the current, V is the voltage, and R is the resistance.

In this scenario, if the voltage across the resistor is increased by a factor of 2, the current through it will also increase. This is because the resistance of the resistor remains constant, and according to Ohm's law, an increase in voltage results in a proportional increase in current.

Therefore, the correct option is A. The current in the resistor is increased by a factor of 2.

(1.) The Phenomena of Refraction Occurs when a Ray (Here Light) enters a Relatively Denser or Rarer Medium and Due to the Change in Density, the Speed of the Incident Ray Decreases or Increases Respectively.

(2.) If a light ray projected through a diamond, the light would refract drastically.

To solve this problem, we need to understand the concept of buoyancy. When an object is immersed in a liquid, it experiences an upward force called buoyant force, which is equal to the weight of the displaced liquid. This means that the balance will register a lower weight when the object is immersed in a liquid compared to when it is in air.

In this case, the object weighs 30 N in air and 20 N in water, which means it is displacing 10 N of water. Using the density formula, we can find the density of the object:

Density = Mass/Volume

Since the mass of the object is constant, we can say that Density ∝ 1/Volume. This means that the volume of the object decreases when it is immersed in water, which makes sense because water is more dense than air.

Now, when the object is immersed in the other liquid, it displaces a different amount of liquid, which results in a weight of 24 N on the balance. Let's call the density of this unknown liquid "ρ".

Using the same formula as before, we can say that:

Density of object = Density of liquid x Volume of displaced liquid

The volume of displaced liquid can be found by taking the difference between the volumes of the object in air and in the liquid. We know that the object has the same volume in air and in the unknown liquid, so:

Volume of displaced liquid = Volume in air - Volume in water

Volume of displaced liquid = (30/10) - (20/10) = 1 m^3

Substituting this into the formula above, we get:

Density of object = ρ x 1

ρ = Density of object = 10 N/m^3

Therefore, the density of the unknown liquid is 10 N/m^3.

1. Determine the weight of the water and unknown liquid displaced by the object using the spring balance readings:
  - Weight of water displaced = 30 N (in air) - 20 N (in water) = 10 N
  - Weight of unknown liquid displaced = 30 N (in air) - 24 N (in unknown liquid) = 6 N

2. Calculate the volume of the object using the weight of water displaced and the density of water (1,000 kg/m³):
  - Volume = Weight of water displaced / (Density of water × Gravity)
  - Volume = 10 N / (1,000 kg/m³ × 9.81 m/s²) ≈ 0.00102 m³

3. Calculate the density of the unknown liquid using the weight of the unknown liquid displaced and the object's volume:
  - Density of unknown liquid = Weight of unknown liquid displaced / (Volume × Gravity)
  - Density of unknown liquid = 6 N / (0.00102 m³ × 9.81 m/s²) ≈ 610 kg/m³

So, the density of the unknown liquid is approximately 610 kg/m³.

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Answer:

F = - K X

X = .4314 m       compression of spring

F  = 55.71 N/m * .4314 m = 24.03 N      force to compress spring

E = 1/2 K X^2       energy of compressed spring

E = 1/2 55.71 N / m * (.4314 m)^2 = 5.184 Joules energy of spring    

1/2 M V^2 = E      energy imparted to ball

V = (2 E / M)^1/2 = 3.25 m/s     max speed of ball

M g H = 1/2 M V^2     calculate height of ball after release

H = E / (M g)      height above spring

H = 5.184 / (.98 * 9.80) = .540 m     height to which ball rises

.540 + .4314 = .972 m      height above compression point

Yes, that statement is correct. The larger container of water will have more heat energy available for heat conduction due to its larger volume and higher mass. This means that it will take longer to heat up or cool down compared to a smaller container with less water. Additionally, the larger surface area of the container also allows for more efficient heat transfer through convection and radiation. Therefore, a larger container of water can be more effective for providing heat to a space or conducting heat through a system.

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Answer:

a) α = -65,2 rad/s².

b) t = 2,57 s.

Explanation:

a) La aceleración angular se puede calcular usando la siguiente ecuación:

\( \omega_{f}^{2} = \omega_{0}^{2} + 2\alpha \theta \)

En donde:

\(\omega_{f}\): es la velocidad angular final =  2000 rpm = 209,4 rad/s

\(\omega_{0}\): es la velocidad angular inicial = 3600 rpm = 377,0 rad/s

α: es la aceleración angular=?

θ: es el desplazamiento o número de vueltas = 120 rev = 754,0 rad

Las conversiones de unidades se hicieron sabiendo que 1 revolución = 2π radianes y que 1 minuto = 60 segundos.  

Resolviendo la ecuación (1) para α, tenemos:

\(\alpha = \frac{\omega_{f}^{2} - \omega_{0}^{2}}{2\theta} = \frac{(209,4 rad/s)^{2} - (377,0 rad/s)^{2}}{2*754,0 rad} = -65,2 rad/s^{2}\)  

Entonces, la aceleración angular es -65,2 rad/s². El signo negativo se debe a que el motor está desacelerando.  

b) El tiempo transcurrido se puede encontrar como sigue:

\( \omega_{f} = \omega_{0} + \alpha t \)

Resolviendo para t, tenemos:

\(t = \frac{\omega_{f} - \omega_{0}}{\alpha} = \frac{209,4 rad/s - 377,0 rad/s}{-65,3 rad/s^{2}} = 2,57 s\)

Por lo tanto, el tiempo transcurrido fue 2,57 s.

Espero que te sea de utilidad!

Explanation:

The kinetic energy of a particle in SHM is given by :

\(K=\dfrac{1}{2}m\omega^2(A^2-x^2)\)

Where

m is the mass of a particle

A is the amplitude

x is the distance

\(\omega\) is the angular frequency

The kinetic energy of a particle executing SHM is maximum at its equilibrium position and minimum at a maximum displacement from the equilibrium point.

Answer:

The shadow would be on your left side.

Explanation:Give brainliest if this helped :)

Answer:

15 m/s towards the North

Explanation:

we need to add both velocities to find the effective velocity from the point of view of an observer at rest on the shore:

2.5 m/s + 12.5 m/s = 15 m/s pointing North

Answer:

Please see the answers in the picture attached below.

Explanation:

Hope this answer can help you. Have a nice day!

Answer:

a low protein diet helps you lose weight because lack of protein can make you lose muscle mass

Explanation:

It cuts your strength it makes it harder to keep your balance and slows your metabolism and later you get tired easily it leads to muscle wasting overtime and sheds your fat

The valley or ravine landfill method utilizes "lifts" from the bottom up with depths usually of 6 to 8 feet.

This means that the landfill is built up in layers or lifts, with each layer being 6 to 8 feet deep. The waste is then compacted and covered with a layer of soil before the next lift is added. This method is used in valleys or ravines because it allows for the natural contours of the land to be used, minimizing the need for excavation and land disturbance. It also helps to contain the waste in a specific area, making it easier to manage and monitor. Overall, the valley or ravine landfill method is an efficient and environmentally responsible way to dispose of waste.

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Kepler was the first astronomer to look at the planet’s orbital paths. He discovered that these had a/an elliptical shape.

The heliocentric model is actually just a model for the solar system, not our entire universe.

Answer:

C

Explanation:

There is a decrease in temperature and daylight and plants produce less food.

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Answer:

1298.5watt

Explanation:

Power is defined as the rate at which work is done

Expressed mathematically as;

P = F × d/ t; F = force or weight of object ;d is height or distance sustain and t is time covered

Hence for 1 person the power consumption is ;

Note weight =mass× acceleration of free fall due to gravity,g

g is known as 9.8m/S2

Time taken is 1min which is 60 sec

60 ×9.8 × 5.3/60 = 51.94 watt

Hence for 25 persons we have

25 × 51.94 =1298.5watt

1.3kilo watt( kilo is 1000)

The work done by the escalator is 3,080.4 joules and the power requirement of the escalator to move 25 passengers every minute is approximately 51.34 watts.

The Work Done is calculated as:

Force (F) = 60 × 9.8

Distance (d) = 5.30 meters

Work (W) = F × d

Work (W) = (60 × 9.8) × 5.30

Work (W) = 3,080.4 joules

The Power is calculated as:

Time (t) = 1 minute

Power (P) = Work / Tim (t)

Power (P) = 3,080.4 / 60

Power (P) = 51.34 watts

Therefore, the power requirement of the escalator to move 25 passengers every minute is approximately 51.34 watts.

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Answer:

4) Inner Core

5) Outer Core

6)Crust

7) Convection

8)   Volcanoes    

Explanation:

Answer:

0.7 g/cm^3

Explanation:

Density = Mass / Volume

             = 84g / 120 cm^3

             = 0.7 g / cm^3

Answer:

Explanation:

A. The bird flew real far and fast.

"far" and "fast" describe the type of motion.

Answer:

A. A motor

Explanation:

The H+ ion that has just passed through the inner mitochondrial membrane by diffusion is the ion produced during the electron transport chain in the process of oxidative phosphorylation.

The inner mitochondrial membrane plays a crucial role in oxidative phosphorylation, the final step of cellular respiration. During this process, electrons are transported through the electron transport chain, and as they move along the chain, protons (H+) are pumped from the mitochondrial matrix into the intermembrane space. This creates an electrochemical gradient, with a higher concentration of protons in the intermembrane space compared to the matrix.

The protons in the intermembrane space are highly concentrated and have a positive charge. Due to their charge and concentration gradient, they can diffuse back into the mitochondrial matrix through a specialized protein called ATP synthase, which spans the inner membrane. As the protons pass through ATP synthase, ADP (adenosine diphosphate) is phosphorylated to form ATP (adenosine triphosphate), which is the energy currency of the cell.

Therefore, the H+ ion that has just passed through the inner mitochondrial membrane by diffusion is the ion that was pumped out during the electron transport chain and subsequently passed back into the matrix through ATP synthase. This process of proton movement and ATP synthesis is essential for the production of cellular energy.

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Explanation:

Given,

A car is starting from rest, so it's initial velocity (u)= 0m/s

Acceleration (a) = 20m/s²

distance covered (s) = 50m

Therefore, time taken (t) = ?

Here,

s= ut + 1/2 at²

or, 50 = 0 × t + 1/2 × 20 × t²

or, 50 = 0 + 20t² /2

or, 50× 2= 20t²

or, 100 = 20t²

or, 100/20 = t²

or, 5 = t²

or, √5 = t

therefore, t = 2.2360 seconds.

The portion of the universe that has been selected for analysis is called a sample. In statistics and research, a sample refers to a subset of individuals, objects, or events that are selected from a larger population or universe for the purpose of study or analysis. The sample is chosen to represent the characteristics and variability of the entire population.

The process of selecting a sample involves careful consideration of sampling techniques to ensure that it is representative and unbiased. By studying the selected sample, researchers can make inferences and draw conclusions about the larger population.

In contrast, a frame refers to a list or source from which a sample is drawn, typically containing the elements of the population. Parameters are characteristics or properties of the population, while statistics are measurements or summaries obtained from analyzing the sample.

Therefore, the correct answer is A. sample.

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Quasars and normal galaxies differ in several ways. Quasars are extremely bright and distant objects, while normal galaxies are much closer and typically have lower luminosities. Quasars also have very high redshifts, indicating that they are moving away from us at very high speeds.

Quasars are thought to be powered by supermassive black holes at the centers of galaxies, while normal galaxies do not have such powerful sources of energy. Quasars also have very small physical sizes, typically less than one light-year in diameter, while normal galaxies can be tens of thousands of light-years across. Quasars are also much rarer than normal galaxies, with only a few hundred thousand known to exist in the observable universe compared to billions of galaxies. Overall, quasars are fascinating and unique objects that provide important insights into the early universe and the physics of black holes.

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Answer: The position of the spring as a function of time is given by: x(t) = 6 * sin(π/4 * t)

where t is the time in seconds and x(t) is the position of the spring in meters.

Explanation:

The position of a spring as a function of time can be described by a sinusoidal function. The general form of such a function is:

x(t) = A * sin(ωt + φ) + x₀

where:

x(t) is the position of the spring at time t

A is the amplitude of the motion (maximum displacement)

ω is the angular frequency (related to the period T by ω = 2π/T)

φ is the phase angle (determines the starting point of the motion)

x₀ is the equilibrium position of the spring (where it would be at rest)

In this case, we know that the maximum displacement (amplitude) of the spring is 6m and the period T is 8s. Therefore, we can calculate the angular frequency ω as follows:

ω = 2π/T

ω = 2π/8

ω = π/4

We also know that the spring is at its equilibrium position when t = 0 (i.e., x(0) = x₀). Therefore, we can set x₀ to 0.

Finally, we need to determine the phase angle φ. This can be a bit tricky without more information, as there are many possible starting points for the motion that would produce a sinusoidal function with the given amplitude and period. For simplicity, we will assume that the spring is at its maximum displacement (positive direction) when t = 0. This means that the phase angle φ is 0.

Putting all of this together, we get:

x(t) = 6 * sin(π/4 * t)

This is the position of the spring as a function of time. It describes a sinusoidal motion with an amplitude of 6m and a period of 8s. The motion starts at the maximum displacement (positive direction) and oscillates back and forth around the equilibrium position (0).

Hi there!

Recall Newton's Second Law:
\(\Sigma F = ma\)

∑F = Net force (N)
m = mass (kg)

a = acceleration (m/s²)

The block will be experiencing two forces; a tension force in the direction of its acceleration (+) and a friction force (-).

\(\Sigma F = T - F_K\)

The equation for kinetic friction force is:
\(F_K = \mu mg\)

Using Newton's Second Law:
\(ma = T - \mu mg\)

Plug in the givens and solve for 'T':

\(T = ma + \mu mg\\ \\ T = m(a + \mu g)\\ \\ T = 20(3 + 0.4(9.8)) = \boxed{138.4 N}\)