what is the output voltage of a battery if 3 j of energy is expended in moving 0.4 c of charge? round the final answer to one decimal place.

The pressure transmitted in the hydraulic system is 4.20 x 10^5 Pa or 4.15 atm.

The principle of Pascal's Law states that pressure applied to a fluid in a closed container is transmitted equally to every part of the fluid and the walls of the container.

The force applied to the master cylinder can be expressed as:

F = A * P

where

We know that the force applied to the brake pedal is 100 N, and the force exerted on the master cylinder is 500 N. Therefore, the force amplification factor is:

FA = F_slave / F_master = 500 N / 100 N = 5

We can use this factor to calculate the pressure in the system:

P_slave = P_master / FA

The area of the master cylinder can be calculated as:

A_master = pi * (d_master/2)^2 = pi * (0.55 cm / 100 cm/m)^2 = 2.38 x 10^-4 m^2

The area of each slave cylinder can be calculated as:

A_slave = pi * (d_slave/2)^2 = pi * (2.50 cm / 100 cm/m)^2 = 4.91 x 10^-3 m^2

The pressure in the master cylinder can be calculated as:

P_master = F_master / A_master = 500 N / 2.38 x 10^-4 m^2 = 2.10 x 10^6 Pa

The pressure in each slave cylinder can be calculated as:

P_slave = P_master / FA = 2.10 x 10^6 Pa / 5 = 4.20 x 10^5 Pa

Converting to atmospheres, we get:

P_slave = 4.20 x 10^5 Pa / 101325 Pa/atm = 4.15 atm

Therefore, the pressure transmitted in the hydraulic system is 4.20 x 10^5 Pa or 4.15 atm.

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C.S. Lewis believed that science and magic are distinct and incompatible ways of knowing and interacting with the world

C.S. Lewis believed that science and magic are distinct and incompatible ways of knowing and interacting with the world. Science is concerned with understanding the natural world through observation and experimentation, while magic is a form of supernatural power that operates outside the laws of nature.

Lewis also believed that science and magic have different ethical implications. Science is morally neutral, while the use of magic often has negative consequences and can lead to a desire for power and control.

In his fiction, such as the Chronicles of Narnia series, Lewis often used the contrast between science and magic to explore larger philosophical and spiritual themes.

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The speed of the plane in still air is 600 mph. the flight from Atlanta to san diego is against the wind and takes 4 hr. the return flight with the wind takes 3.5 hr.

Speed is calculated by dividing the distance traveled by the distance's travel time. The equation can be used to determine speed: Speed is defined as the product of distance divided by time, and the unit of speed is the product of distance divided by time.

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is traveling along a path. In other words, velocity is a vector, whereas speed is a scalar value.

Let x mph be the speed in still air. Then flight against the wind is at (x-40)mph and with the wind is (x+40)mph

3.5 (x+40) =4(x-40)

3.5x +140 = 4x - 160

3.5x - 4 x = -160 - 140

-0.5x = -300

x = 300/0.5

x = 600 mph

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Option A: pressure is described as the collision of the molecules of a fluid inside the surface of the container.

Fluids are the liquids or gases whose particles move around in random motion and constantly collide with each other. When enclosed in a container, the continuous collision impart a pressure on the walls of the container. Since the particles are moving in constant and a quick motion, they keep bouncing-off the container.

A pressurised container experiences significantly more impacts from the pressured gas inside than from the lower pressure environment outside at any given time. Collisions inside a container can also be influenced by temperature at a given instant.

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Correct question is:

What is described as the collision of the molecules of a fluid inside the surface of their container? responses:

pressure

volume

gravity

water

The final speed of block 1 is 2.4 times its initial speed, or [tex]2.4v[/tex]. The collision between two objects is said to be elastic if both the total momentum and the total kinetic energy are conserved.

In an elastic collision between two objects, both the total momentum and the total kinetic energy are conserved.

Let's consider the collision between block 1 and block 2. The mass of both blocks is the same, so we can write the conservation of momentum equation as:

[tex]m(4v) = m(v1f) + m(v2f)[/tex]

where 4v is the initial velocity of block 1, v1f is the final velocity of block 1, and v2f is the final velocity of block 2. Since block 2 is initially at rest, its initial velocity is zero.

Since the collision is elastic, the total kinetic energy of the system is conserved, and we can write the conservation of kinetic energy equation as:

[tex](\frac{1}{2})m(4v)^2 = (\frac{1}{2})m(v1f)^2 + (\frac{1}{2})m(v2f)^2[/tex]

Simplifying these equations, we get:

[tex]4v = v1f + v2f[/tex] (conservation of momentum)

[tex](\frac{16}{2})v^2 = (\frac{1}{2})v1f^2 + (\frac{1}{2})v2f^2[/tex] (conservation of kinetic energy)

Solving for v1f, we can substitute[tex]v2f = (4v - v1f)[/tex] into the second equation:

[tex](\frac{16}{2})v^2 = (\frac{1}{2})v1f^2 + (\frac{1}{2}) (4v - v1f)^2[/tex]

Simplifying and solving for v1f, we get:

[tex]v1f = (\frac{3}{5})4v \\ = 2.4v[/tex]

Therefore, the final speed of block 1 is 2.4 times its initial speed, or [tex]2.4v[/tex]

The collision between two objects is said to be elastic if both the total momentum and the total kinetic energy are conserved. This means that the momentum of the system before the collision is equal to the momentum of the system after the collision, and the kinetic energy of the system before the collision is equal to the kinetic energy of the system after the collision.

The law of conservation of momentum states that the total momentum of a system of objects remains constant if no external forces act on the system. In an elastic collision, the momentum of each object is conserved separately, so we can write the equation:

[tex]m1v1i + m2v2i = m1v1f + m2v2f[/tex]

where m1 and m2 are the masses of the two objects, v1i and v2i are their initial velocities, and v1f and v2f are their final velocities.

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Statement that is true about chemical reaction that forms acid rain : b)The bonds that break are between N and O in HNO2and between O and H in HNO3.

Acid rain is a acid deposition, which refers to the many ways in which acidity can move from atmosphere to Earth's surface. Acid deposition includes acidic rain as well as other forms of acidic wet deposition such as snow, sleet, hail, and fog.

HNO2 is less stable thus dissociates easily to HNO3 + NO + H2O and HNO3 is a strong acid. Therefore, when they react with H2O, they form acid rain.

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Note: The question given on the portal is incomplete. Here is the complete question.

Question: Which two statements are true about this chemical reaction that forms acid rain? 2NO2 + H2O--> HNO2 +HNO3

a) The bonds that form are between N and O in HNO2 between and between O and H in HNO3.

b)The bonds that break are between N and O in HNO2and between O and H in HNO3.

c)The bonds that break are between N and O in NO2 and between O and H in H2O.

d)The bonds that form are between N and O in NO2 and between O and H in H2O.

Answer:  The correct two answers are  :  

1.)  The BONDS that FORM are between N and O in HNO  2   and between O and H in HNO 3

2.)  The BONDS that BREAK are between N and O in NO2 and between H and O in H2O

Explanation:   I took the test.

The object is moving away from the origin at a constant velocity.

option A.

Constant velocity refers to a situation in which an object moves at a constant speed in a straight line. This means that the magnitude of the velocity (i.e. the speed) of the object remains the same over time, while its direction may or may not change.

For example, a car moving at a constant 60 km/h on a straight road has a constant velocity.

Uniform velocity on the other hand, refers to a situation in which an object moves with a constant speed, but also changes its direction. I

In the graph, between 4 and 6 seconds, the object is moving at a constant velocity.

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Hundreds of millions of kilometres away, the Mars Reconnaissance Orbiter camera photographed a unique formation that, to the delight of scientists and space observers, appeared to be shaped like a bear's face.

The Viking 1 lander captured it on July 20, 1976, shortly after it landed on the planet. This new image from the Mars Reconnaissance Orbiter's HiRISE camera purports to show the face of a bear forming on the Martian surface.

The intriguing geological formation was photographed in December by the High Resolution Imaging Experiment (HiRISE) instrument on board the Mars Reconnaissance Orbiter.

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Answer:

[tex]F = \boxed{3.53002 \times 10^{22} \;N}[/tex]

Explanation:

The formula used to calculate the gravitational force between two objects
[tex]F = G \dfrac{m_1m_2}{r^2}[/tex]

where

m₁ and m₂ are the masses of the two objects

G  is the universal gravitational constant =6.6743 × 10⁻¹¹ m³/kg·s²

r is the average distance between the two objects

We are given
mass of earth = m₁  = 5.98 X 10²⁴ kg

mass of sun = m₂ = 1.99 x 10³⁰ kg

r = 1.5 x 10¹¹ m

Therefore

[tex]F\:=\:6.6743\:\times \:10^{-11}\times \dfrac{\left(5.98\:\times 10^{24}\times 1.99\:\times 10^{30}\right)}{\left(1.5\:\times \:10^{11}\right)^2}[/tex]

[tex]F = \boxed{3.53002 \times 10^{22} \;N}[/tex]

The approximate arc length of one slice of pie when a pie is cut into 6 pieces if the diameter of the pie is 10 inches is 5π/3in.

Given the diameter of apple pie (d) = 10 inches

Then, the radius of each piece (r) = 10/2 = 5 inches

The number of apple pieces = 6

Let the angle made by each apple piece = θ

Let the arc length = L

We know that the circumference of the circle is represented as:

C = 2πR = 2π*5 (in) = 10π (in)

When a pie is sliced into six equal pieces, the circumference is also divided into six equal arcs, which equals 10π/6 (in) = 5π/3 (in)

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complete question: A pie is cut into 6 pieces if the diameter of the pie is 10 inches. what is the approximate arc length of one slice of pie?

Pie = symbol

A- 10pie / 3

B- pie

C- 5pie / 6

D- 5pie / 3

By the help of Kinetic energy ,the ratio of the brick's mass to the pebble's mass is [tex]\frac{9}{25}M = m[/tex]

A moving item or particle might have power of a certain sort called kinetic energy. An object gains kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force. Kinetic energy is a characteristic of motion that depends on the mass and speed of an object or particle. Motion includes all combinations of vibration, axis rotation, translation, and movement (along a path from one location to another).

M should represent the brick mass.

Let m represent the pebble's mass.

.[tex]\frac{1}{2} M(v)^2[/tex] =KE

[tex]\frac{1}{2} M(3)^2[/tex]=KE

[tex]\frac{1}{2} m(5)^2[/tex]= KE

[tex]\frac{1}{2} M(3)^2= \frac{1}{2} m(5)^2[/tex]

9M = 25m

[tex]\frac{9}{25}M = m[/tex]

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As the turntable spins faster, the penny that is furthest from the turntable's centre will slide first.

Centripetal force increases as the turntable spins faster, exerting more force on the pennies. The centripetal force is proportional to the angular velocity squared and the angle of deflection from the turntable's centre. In other words, the penny that is farther away from the turntable's centre experiences a stronger centripetal force than the penny that is closer to it.

With the centripetal force, the frictional force between the pennies and the turntable likewise grows. Nevertheless, the coefficient of static friction—a feature of the surface where the pennies and turntable are placed—limits the frictional force. For the penny that is nearer to the turntable's centre than for the coin that is farther away, the coefficient of static friction

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The natural frequency (in hertz) of oscillations of the second floor

(a) To find the natural frequency of oscillation of the second floor, we can use the formula:

ω_n = √(k/m)

where ω_n is the natural frequency, k is the spring constant, and m is the mass of the second floor.

The spring constant k can be found by using the given information that a horizontal force of 5 tons (10,000 lbs) is required to displace the second floor by 1 ft. This means that the spring constant is:

k = F/x = (10,000 lbs) / (1 ft) = 10,000 lb/ft

Converting the mass of the second floor to slugs, we get:

m = 32,000 lbs / g = 32,000 / 32.2 = 994.4 slugs

Substituting the values of k and m, we get:

ω_n = √(k/m) = √(10,000 lb/ft / 994.4 slugs) ≈ 10.05 rad/s

Converting to Hertz, we get:

f_n = ω_n / 2π ≈ 1.6 Hz

Therefore, the natural frequency of oscillation on the second floor is approximately 1.6 Hz.

(b) The amplitude of the forced oscillations of the second floor can be found using the formula:

x = (F_0 / m) / √(ω² - ω_n²)

where x is the amplitude of the forced oscillations, F_0 is the amplitude of the external force, ω is the circular frequency of the ground oscillations, and ω_n is the natural frequency of the second floor.

Substituting the given values, we get:

x = (F_0 / m) / √(ω² - ω_n²)

= (10,000 lbs / 994.4 slugs) / √((2π/2.25 s)² - (10.05 rad/s)²)

≈ 0.11 ft

Converting to inches, we get:

x ≈ 1.3 in

Therefore, the amplitude of the forced oscillations of the second floor is approximately 1.3 inches.

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If the dielectric is then removed, the capacitance of the capacitor decreases and the electric field between the plates increases.

When a parallel plate capacitor is charged with a dielectric between the plates using a battery, the charges on the plates are distributed in a way that results in a potential difference between the plates equal to the voltage of the battery. After the battery is removed and the capacitor is isolated, the charges on the plates remain fixed and the potential difference is maintained.

If the dielectric is then removed, there increase in electric field results in an increase in potential difference between the plates, and the amount of increase depends on the dielectric constant of the material used and the original capacitance of the capacitor.

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If the interior point of a triangle is equally spaced from its two sides, that point will be on the angle bisector of the angle created by the two line segments. Thus, option C is correct.

In geometry, an angle bisector is a line that divides an angle into two equal angles. A "bisector" is a tool that splits an object or form into two equal halves. A ray known as an angle bisector separates an angle into two identical segments of the same length.

The opposite side of a triangle is divided into two pieces by the angle bisector in proportion to the other two sides. I

A line known as a bisector divides an angle or a line into two equally sized segments. A segment's midpoint is always contained in the segment's bisector.

To separate or cut into two equal, or nearly equal, portions. Geometry. To split or cut into two equal pieces. To cut an angle in half. The location where the train lines cross or intersect the road.

Therefore, place the compass on the vertex of the angle.

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Ball A has been in motion for 2.77 seconds when the two balls collide.

For ball A, use the second law of motion equation to find its displacement after 4 seconds,

[tex]y_A = (30)4 + \dfrac{1}{2}(-g)(4)^2[/tex]

yA = 41.6 m

Find the time it takes for ball B to reach the same height,

41.6 m = (30 m/s)t + (1/2)(-g)t^2

Solving this quadratic equation for t,

[tex]t = \dfrac{30 \pm \sqrt{(30)^2\times - 4\times (-4.9)(-41.6)}} {2(-4.9)}[/tex]

t ≈ 3.33 s or t ≈ 6.77 s

Therefore, the time elapsed for ball A when the two balls collide is,

tA = t - 4 s

tA = 3.33 s - 4 s

tA = -0.67 s (disregarded, since it is negative)

or

tA = 6.77 s - 4 s

tA = 2.77 s

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For a snowy winter day, it is best to wear dark colored jacket because, it helps to absorb heat and make us warm in the cold condition.

A black colored body absorbs all colors but reflect no color. Hence, energy it absorbs will be emitted as heat. This is called black body radiation. The white light will absorbs all lights and reflects all light. Thus no energy is emitted as heat.

In the summer season, it is better to wear light colored dresses and uses white painted umbrellas because, they does not make us warmer and trap the heat from the surroundings.

But, in winter seasons, we need some warmth and it is better to use dark colored or black jackets to warm up ourselves. Therefore, option 1 is suit for a winter season.

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The time interval is 0.15 s

The frequency of oscillation refers to the number of cycles of a periodic waveform that occur per unit of time, usually measured in hertz (Hz), which represents cycles per second.

Based on the information that can get in the question that has been put before us here and now;

Note that;

Frequency = Number of oscillations/Time

3 * 10^3 = 440/time

Time = 440/3 * 10^3

Time = 0.15 s

Thus we can see from the calculation that the time that is taken is 0.15 s

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The voltage drop across C1 is 10.0 V while C3 experiences a 3.33 V voltage drop in capacitors.

This is seen below. The total capacitance of a number of capacitors connected in this fashion can be calculated by adding the individual capacitances using the method described below: C1 + C2 + C3, etc. = CTotal. An illustration would be to calculate the total capacitance of these three parallel capacitors.

The voltage drop across each capacitor is 10.0 V / 3 = 3.33 V if the voltage drop across C1 is 10.0 V.

Given that C3 is one of the series-connected capacitors, the voltage drop across C3 would also be 3.33 V.

Consequently, if C1 experiences a 10.0 V voltage drop, the 3.33 V is the voltage drop across C3.

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The property of light waves that causes the water around Easter Island to appear bluer than the surrounding water is called "scattering". Scattering occurs when light waves interact with particles in the atmosphere or in a medium such as water.

In the case of the water around Easter Island, the blue color is due to the scattering of sunlight by the water molecules in the ocean. Sunlight is composed of different wavelengths of light, and when it enters the ocean, the water molecules scatter the shorter, blue wavelengths more than the longer, red wavelengths. This means that more of the blue light is scattered in all directions, including towards the observer in the plane, making the water appear blue.

The blueness of the water is more noticeable around Easter Island because the island is surrounded by deep ocean water, which absorbs longer wavelengths of light and allows more of the blue light to be scattered. In contrast, the surrounding shallower waters or other parts of the ocean may have more particles, such as algae or sediment, that scatter more of the longer wavelengths of light, making the water appear a different color, such as green or brown.

Overall, the scattering of light waves by particles in the atmosphere or in a medium is a common phenomenon that can cause objects or substances to appear different colors to an observer. The specific color that is observed depends on the properties of the light waves, the properties of the particles, and the angle and distance of the observer.

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The following statement "The amount of energy required to remove an electron from an isolated atom or molecule is the Ionization potential. There is an ionization energy for each successive electron removed" is true.

A molecule is a collection of two or more atoms bound together by chemical bonds; depending on the context, the phrase may or may not include ions that meet this definition.

In quantum physics, organic chemistry, and biochemistry, the difference between ions and molecules is lost, and the term molecule is frequently used to refer to polyatomic ions. A molecule can be homonuclear, consisting of atoms of one chemical element, such as two atoms in the oxygen molecule (O2), or heteronuclear, consisting of more than one element.

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Bone has a Young’s modulus of about 1.8 × 10¹⁰ Pa .Before breaking, the femur can withstand a compression of 5.5 mm.

To determine how much compression the femur can withstand before breaking, we can use the stress formula.

The stress is the force exerted per unit area (1.52  10⁸ Pa); the applied force is the area, which represents the femur's cross-sectional area. Since we already know the stress and the area

The following formula can be used to determine the femur's cross-sectional area: Force = Stress * Area

A = π × r²

where:

A is the cross-sectional area

r is the radius of the femur

The radius of the femur can be calculated by dividing the diameter by 2:

r = d / 2

d is the diameter of the femur

We can find the force:

Force = 1.52 × 10⁸ Pa × π × (d / 2)²

Deformation = Stress × Length / Young's Modulus

Length is the length of the femur (0.55 m)

Young's Modulus is the modulus of elasticity of the material (1.8 × 1010 Pa)

Deformation = 1.52 × 10⁸ Pa × 0.55 m / (1.8 × 10¹⁰ Pa)

Deformation = 0.0055 m = 5.5 mm

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The frequency of electromagnetic radiation with a wavelength of 745 nm appears as red light to the human eye is 2.66 x 10^-19 Joules.

Wavelength of the electromagnetic radiation = 745 nm = 7.45 x 10^-7 m

1m = 1 x 10^-9 nm

Energy of the photon will be given by Plank's equation:

E = hc / λ

E = 6.626 x 10^-34J[tex]\pi[/tex] x 3 x 10^8 m/s / 7.45 x 10^-7m

E = 2.66 x 10^-19 Joules

Electromagnetic radiation is a form of energy that travels through space in the form of waves. This energy is generated by the movement of electric and magnetic fields, which oscillate at right angles to each other. These waves can vary in their frequency, wavelength, and energy, and are classified based on their position on the electromagnetic spectrum.

At one end of the spectrum, we have low-energy, long-wavelength waves, such as radio waves and microwaves, which are commonly used for communication and heating applications. In the middle of the spectrum, we find visible light, which is the only portion of the spectrum that our eyes can detect. At the other end of the spectrum, we have high-energy, short-wavelength waves, such as X-rays and gamma rays, which can be harmful to living organisms in high doses.

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Two stars are of equal luminosity. Star A is 3 times as far from you as star B. Star A appears the same brightness as star B.

What is luminosity?
Luminosity is a measure of the amount of energy that is emitted by a star or other celestial object, usually measured in terms of its brightness. It is related to the star's surface area and temperature, as well as its distance from the observer. Luminosity is an important factor in determining the evolution of a star and its eventual fate.

Therefore, Two stars are of equal luminosity. Star A is 3 times as far from you as star B. Star A appears the same brightness as star B.

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The energy associated with movement is Kinetic Energy, while energy that is stored is Potential Energy.

Two types of energy—kinetic energy and potential energy—describe the condition of a system. While potential energy is the energy stored in an object or system based on its location or configuration, kinetic energy is the energy of motion.

The energy that an object has as a result of motion is known as kinetic energy. The formula KE=1/2mv2 can be used to calculate an object's kinetic energy, which depends on its mass and speed. In this instance, m stands for the object's mass and v for its speed. An object has more kinetic energy the faster it moves. For instance, a moving vehicle has more kinetic energy than a vehicle that is stationary.

On the other hand, potential energy is the energy that an object has as a result of its position or configuration. It is frequently referred to as the energy that a thing possesses as a result of its capacity for labor. Gravitational potential energy, or the energy an item has as a result of its position with respect to a reference point like the ground, is the most typical illustration of potential energy. A lower-altitude item has less gravitational potential energy than a higher-altitude object. PE=mgh, where m is the object's mass, g is the acceleration brought on by gravity, and h is the object's height above the reference point, is the formula for gravitational potential energy.

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The strap's tension needs to be changed to 4.11 N in order to deliver the required upward force, since there are no other forces acting in the upward direction.

To generate the required upward force, the tension on the strap must be adjusted, which equals T.

R²  = T²  + T²  - 2T² Cosθ

where;

The resulting force, R, is

5² = 2T²  - 2T² cos (75), where is the angle of inclination of the tension

25 = 1.482T²

T² = 25/1.482

T² = 16.87

T = √16.87

T = 4.11 N

In order to deliver the required upward force, the strap's tension must be set to 4.11 N.

This is due to Newton's third law, which states that for every action, there is an equal and opposite reaction. In this case, the force that the strap exerts on the chin (the action) must be equal and opposite to the force that the chin exerts on the strap (the reaction).

Therefore, to provide the necessary upward force of 5.00 N, the tension in the strap must be 4.11 N.

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The correct option is B. Her trajectory will her center of mass be 1.0 seconds later at the apex.

[tex]V = V_0 - g*t[/tex]

where,

[tex]V_0 = initial velocity[/tex]

acceleration due to gravity  = 9.8 m/s^2

t = 1.0 seconds

substituting the above values in the equation;

[tex]V_0 = 9.8 m/s + 9.8m/s^2*1.0 sec\\V_0 = 19.6 m/s[/tex]

**Hence after 1.0 sec the gymnast would almost reach 19.6 m as distance.

According to the trajectory of mass thrown uniformly,

[tex]H_(max)= v^2/ 2*g = 19.6^2/2*9.8 = 19.6 m[/tex] ----> indicates the mass reaches the peak after a time of 1.0 seconds

Speed is the directional velocity of an item in motion as an indication of its price of exchange in the role as located from a selected frame of reference and as measured through a specific widespread of time (e.g. 60 km/h northbound). speed is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of our bodies.

Velocity is a physical vector amount; both value and route are had to outline it. The scalar absolute value (magnitude) of velocity is referred to as pace, being a coherent derived unit whose quantity is measured in the SI (metric system) as meters according to 2nd (m/s or m⋅s−1). as an example, "five meters per 2d" is a scalar, while "five meters in keeping with 2d east" is a vector. If there may be a change in velocity, course, or both, then the object is said to be present process an acceleration.

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Complete Question:

If a gymnast leaves the ground with a vertical velocity of 9.81 m/s when doing a back flip, where in her trajectory will her center of mass be 1.0 sec later? Show the equation applied!

a) Approaching the apex

b) at the apex

c) descending from the apex

d) on the ground

e) not enough information

Answer: The voltage required to move a current of 2mA through a resistor with a resistance of 0.5 kΩ can be calculated using Ohm's law, which states that the voltage across a resistor is equal to the current flowing through it multiplied by the resistance:V = I * RV = 2mA * 0.5 kΩV = 1VSo, the voltage required to move 2mA through 0.5 kΩ is 1 Volt.