Let be the function graphed below. If three subintervals of equal length are used, draw rectangles whose area represents a midpoint Riemann sum approximation of f(x) dx. Width of each subinterval: 90 35 30 15 10 5 3 4 5

the following blanks are gravitational potential energy and kinetic energy

Gravitational potential energy is the energy that an object has due to its position in a gravitational field.It is given by the equation Ep = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above a reference point. Kinetic energy is the energy an object possesses by virtue of its motion. It is given by the equation Ek = 1/2mv^2, where m is the mass of the object and v is its velocity.

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Long ramp would be the net static friction acting on her if the ramp has a total weight of 40 kg is  F = 6.77 N.

The effects (the sum) of any and all pulling and pushing forces that are actually acting on an object is known as the net force. An item will speed up in the net force if the pushing and pulling forces acting on it are not equal (a net force acts).

E(f) - E(i) = -F(k)d

E(f) = mgy(f) = 1/2×mv²(f)

E(i) = mgy(i) + 1/2×mv²(i)

F(k) = [E(f)- E(i)]/-d

= {mgy(s) + 1/2mv²(f) - (mgy(i) + 1/2mv²(i))}/-d

F(k) = {(40)(9.8)(14.2)(sin[tex]20^{o}[/tex]) +0-(0+1/2(40)([tex]10^{2}[/tex])}/-14.2

F(k) = 6.77 N

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A tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. The truck will travel at -78.1 m/s and its time of flight is 17.44 seconds.

Distance of any body or an object is the total path covered by it in a particular time. We can calculate the distance of any object covered by it using the equations of motion in our question. we can also convert equation of motion in our favor to find our answer in a proper format to find our answer by the proper use of equation of motion. By this information we can formerly consider that a tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. The truck will travel at -78.1 m/s and its time of flight is 17.44 seconds.

Initial velocity = 0 , initial height = 252

[tex]dy = u\times t + \frac{1}{2} at^{2}[/tex]

[tex]dy = u\times t +0.5 gt^{2}[/tex]

[tex]252 =0+ 4.9t^{2}[/tex]

t = 7.17 seconds

horizontal:

v = [tex]\frac{dx}{t} =560\times7.17=[/tex]=78.103 m/s

To the nearest tenth; 78.1 M/s

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The time taken can be calculated by the equation: t = -RC ln(15/50)

To determine how long after closing the switch s the potential across each capacitor will be reduced to 15.0 V, we need to know the initial potential across the capacitors, the capacitance value and the resistance in the circuit.

When a switch is closed, the potential across a capacitor decreases exponentially with time according to the equation:

V(t) = V0e^(-t/RC)

Where V0 is the initial potential across the capacitor, t is time, R is the resistance in the circuit, and C is the capacitance.

In this case, the initial potential across each capacitor is 50.0 V, and the resistance in the circuit is 80 ohms.

To find the capacitance value we need to know that the capacitors are parallely connected, which means that the total capacitance is the sum of the individual capacitances:

Ctotal = C1 + C2

Once we have the capacitance value, we can find the time constant RC:

RC = R / Ctotal

Now we can use the equation above to find the time it takes for the potential to decay to a certain percentage of the initial value.

For example, if we want to find the time it takes for the potential to decay to 15.0 V (30% of the initial value), we can use the following equation:

15.0 V = 50.0 Ve^(-t/RC)

and we can solve for t:

t = -RC ln(15/50)

It's worth noting that this is an estimation and that in real world situations the resistance and capacitance values are also affected by other factors such as leakage current or parasitic capacitances.

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Answer:

(a) 0.500 s displacement 70.0 m - 7.2 m velocity 7.2 m/s

(b) 1.00 s displacement 70.0 m - 28.8 m velocity -13.6 m/s

(c) 1.50 s displacement 70.0 m - 57.6 m velocity -20.4 m/s

(d) 2.00 s displacement 70.0 m - 92.8 m velocity -24.0 m/s

(e) 2.50 s displacement 70.0 m -134.4 m velocity -25.2 m/s

As a result, the amount of force the truck exerts on the automobile is equal to the amount of force the truck exerts on the car.

As per Newton's third law of motion

If object A applies a force to object B, then object B must apply a force to object A in the opposite direction and of equal strength. This rule illustrates a symmetry in nature whereby forces always occur in pairs and that no body can exert a force without also being subjected to one.

Because the accident is a head-on collision, according to Newton's third law, both the automobile and the truck will exert equal force against one another.

As a result, it will be safe to ride in the truck since the automobile will accelerate more quickly under the same force due to its lighter weight. Bigger acceleration results in a greater change in velocity, which increases the driver's workload.

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Answer:

The heat from the radioactive processes within the planets inferior causes the plates to move sometimes away from each other. This movement is called the tectonic shift

Answer:

Explanation:

Determine the highest centrally applied vertical load p the block can support if the material breaks when the average normal stress reaches 120 psi.

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period of orbit is 2136.63 m/s if The moon Phobos orbits Mars (mass = 6.42x 1023 kg) at a distance of 9.38 x 106 m.

noun. the extent or amount of space between two things, points, lines, etc. the state or fact of being apart in space, as of one thing from another; remoteness. a linear extent of space: Seven miles is a distance too great to walk in an hour.

The SI unit for distance is the meter (m). Short distances may be measured in centimeters (cm), and long distances may be measured in kilometers (km). For example, you might measure the distance from the bottom to the top of a sheet of paper in centimeters and the distance from your house to your school in kilometers.

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The end product when equilibrium is reached is a mixture of water and ice at a temperature of 0°C.

Since the temperature of the water is higher than the temperature of the ice, the ice starts to melt and the temperature of the mixture decreases until it reaches the freezing point of 0°C.

The amount of water in the mixture increases due to the melting of the ice while the amount of ice decreases until all of the ice has melted and there is 1.4 kg of water in the mixture.

The heat energy that was released when the ice melted is absorbed by the water, raising its temperature to 0°C and causing it to reach equilibrium.

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The total horizontal force on the driver if the translational velocity around the same curve is 18 m/s is 215 N.

The word 'force' has a precise meaning. At this level, it is completely appropriate to describe a force as a push or a pull. A force is not something that an object contains or 'has in it'.

In  ∑F=m rv 2,

both m and r are unknown but remain constant.

Symbolically,

write ∑F slow​ =( r m​ )(14.0m/s) 2  

and ∑F fast​ =( r m​ )(18.0m/s) 2

Therefore, ∑F is proportional to v 2  and increases by a factor of ( 14.018.0​ ) 2  

as v increases from 14.0m/s to 18.0m/s.

The total force at the higher speed is then

∑F fast​ =( 14.018.0​ )

2 ∑F slow​ =( 14.018.0​ ) 2 (130N)

=215N

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The wave pulses always travel in the same direction. Each pulse differs significantly in terms of amplitude. Va = vb = vc as a result.

Pulses come in a wide variety of sizes and forms and are just dried seeds from legumes. The four most popular pulses—beans, chickpeas, lentils, and peas—and some of its variants will be described, illustrated, and given common names in this book.

The edible seed of a legume plant is known as a pulse. Peas, lentils, and beans are examples of pulses. As an illustration, a pea pod is a legume, while the pea within is a pulse.

The fastest and slowest waves should be calculated. The three scenarios in the illustration each illustrate a different amplitude of the wave with the same string.

Consequently, va = vb = vc.

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Celsius (C) scale to its Fahrenheit (F) relation is [tex]F = \frac{9}{5} C + 32[/tex].

The degree Celsius is a temperature unit on the Celsius scale, which is one of two temperature scales employed by the International System of Units (SI) alongside the Kelvin scale. The degree Celsius (symbol: °C) can refer to a certain temperature on the Celsius scale or a unit used to represent the difference or range between two temperatures. It is named after Anders Celsius (1701-1744), a Swedish astronomer who invented a comparable temperature scale in 1742. The measurement was previously known as centigrade, from the Latin centum, which means 100, and gradus, which represents steps, until being changed in 1948 to honour Anders Celsius.

The Fahrenheit scale is a temperature scale that was proposed by scientist Daniel Gabriel Fahrenheit in 1724. The degree Fahrenheit is the unit of measurement. Fahrenheit temperature scale, based on the freezing point of water at 32° and the boiling point of water at 212°, with the distance between the two split into 180 equal parts.

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Answer:

Explanation:

Gases move from high-pressure areas to low-pressure areas. And the bigger the difference between the pressures, the faster the air will move from the high to the low pressure. That rush of air is the wind we experience.

Answer:

points are needed

Explanation:

18 μC is the charge Q on the capacitor immediately after the switch is moved to position b .

The expression for the charge on the capacitor is as follows :

Q = CV

substitute 2.0 μF  for C and 9V for V.

Q = (2μF) {[tex]\frac{1 * 10^{-6} F }{1μF}[/tex]} (9V)

= 18 * [tex]10^{-6}[/tex] C

≈ 18 μC

Charge is not stored in capacitors. In reality, capacitors store an unbalanced charge. If a capacitor's one plate has one coulomb of charge stored on it and the other plate has one less, the total charge (added up over both plates) will be zero.

Formula q=CV, where q is the charge stored, C is the capacitance, and V is the applied voltage, describes this relationship.

Always, current flows from -ve to +ve. As a result, charge will move away from the -ve plate and towards the +ve plate. Therefore, the charge on a capacitor always equals the charge on the positive plate, never the negative.

The link between a capacitor's capacitance, its charge, and the voltage across it.

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The distance your vehicle travels from the time the eyes see a hazard to the time the brain knows it's a hazard is called perception distance.

Distance perception refers to a process in which a viewer perceives an interval between two points in space. Perception distance is the distance a vehicle travels from the moment you see a hazard until your brain recognizes it. For an alert driver, this is about 3/4 of a second. The velocity of your car affects the distance needed to stop it. The stopping distance is persistent by three factors: perception distance, reaction distance, and braking distance. Perception time is how long it endures to recognize a condition and comprehend that you require to stop.

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It also assumes that many of your portrait are in focus. A wide aperture setup admits so much light into to the lens and lessens the depth of field.

A cameras is a piece of equipment that takes pictures and comprises of either a plate or light-sensitive film inside of a light-proof casing. The camera's shutters opens and closes during the taking of a picture, exposed the photosensitive film to sight and recording the scene on the film.

The traditional camera depicted in the illustration has been largely replaced by digital cameras and mobile phones today.

Less light enters the lens through a tiny aperture. Additionally, it suggests that more your photo will be sharp. More light enters the lens when the aperture is wide open, but the field of view is also reduced. You can change the aperture setting to help balance overall exposure and control the amount of the composition is already in focus.

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Acceleration increase down a ramp, due to an object is free to move under the influence of gravity. That's why acceleration increases.

Acceleration is a measure of how quickly an object's velocity changes. On a ramp, an object is free to move under the influence of gravity. The gravitational force acting on an object is always directed downward, and the force of friction acting on an object is directed upward. The force acting on an object moving down a ramp is the force of gravity minus the force of friction. Since the force of gravity is greater than the force of friction, the net force acting on the object is directed downward, which causes the object to accelerate downward. The angle of the ramp affects the force of friction, as the greater the angle of the ramp, the greater the force of friction, and the less the net force acting on the object and less acceleration. Therefore, acceleration increases down a ramp because the net force acting on an object is directed downward and the angle of the ramp affects the force of friction.

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Alberta will meet the paper ball 8m away from Fatima's position after 13.3 seconds.

What is the seconds?

Seconds is a unit of time and is the base unit of time in the International System of Units (SI). It is described as the length of 9,192,631,770 radiation periods that correspond to the change between the two hyperfine levels of the cesium-133 atom's ground state. One second is equal to 1/60 of a minute, 1/3,600 of an hour, 1/86,400 of a day, and 1/31,536,000 of a year.

Seconds are a unit of time that is equal to one sixty-fourth of a minute. It is the base unit of measurement for time in the International System of Units (SI). One second is equal to 1000 milliseconds or 0.000277778 minutes. Seconds can be used to measure very short periods of time, such as the time it takes for light to travel from one end of a football field to the other.

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Electrical burns can occur in a variety of ways, including arc burns, low voltage burns, high voltage burns, mouth burns, flash burns, and flame burns.

Electric shock, a serious electrical mishap, or a fatal electrical event are all considered electrical incidents.

For the purposes of reporting and analysis, incident definition types let you attribute the appropriate type to safety events. Having only the two types of incidents—Accident and Near Miss—is one strategy.

An occurrence or scenario that has a number of serious repercussions and necessitates the implementation of special measures by one or more emergency responder agencies is referred to as a big incident.

Any electrical incident that results in or has the potential to result in: death or serious bodily harm to a person; significant property damage; or a serious risk to the public safety must be reported, according to the Electrical Safety (General) Regulations of 2019.

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The velocity of the hammer of mass 1.9 kg is 11.07 m/s.

Velocity is the rate of change of displacement.

To calculate the velocity of the hammer, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

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Thermal energy increases during melting.

When ice melts during melting, its temperature remains constant until all the ice turns into water. Then, heating of liquid water causes the molecules to vibrate faster and steadily increasing the temperature.

Thermal energy refers to the energy contained within a system that is responsible for its temperature. Heat is the flow of thermal energy. A branch of physics, thermodynamics, concerns with how heat is transferred among different systems.

An example of thermal energy is boiling water on a stove. When boiling water, thermal energy is produced when the atoms and molecules in a substance vibrate faster because of raising in temperature.

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The frequency of the cart's motion for a distance of 10.0 meters is 0.075 Hz (Hertz), which means the cart completes 0.0775 round trips per second.

1) Period (T):

The period (T) is the time taken for one complete round trip. The cart travels from one end to the other and back in one round trip.

T =  (distance/speed)

T = (10.0 / 0.75 )

T = 13.33 seconds

So, the period of the cart's motion for a distance of 10.0 meters is approximately 13.33 seconds.

2) Frequency (f):

The frequency (f) is the number of complete round trips per unit time. It is the reciprocal of the period.

f = 1 / T

f = 1 / 13.33

f =  0.075 Hz

So, the frequency of the cart's motion for a distance of 10.0 meters is approximately 0.075 Hz (Hertz), which means the cart completes approximately 0.0775 round trips per second.

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W=mg=(3)(9.8)=29.4N is the balance measurement for an airborne body. Scales of this kind include spring balances and newtons meters. They are frequently used to gauge the amount of force applied to an object.

The spring balance operates according to Hooke's law. According to Hooke's law, a material's strain will increase in direct proportion to its applied stress up to its elastic limit.

A straightforward and affordable way of measuring mass is offered by spring balances. The mass is suspended from a spring, and the spring's bending caused by the mass's downward gravitational pull is gauged against a scale.

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The magnitude of the electric field due to this charge at a distance of 23.0 cm from the charge is 918.7 N/C.

Given that,

Charge on point particle Q = -5.4 nC = -5.4 × 10⁻⁹ C

Distance from the charge r = 23 cm = 23 × 10⁻² m

The relation between distance charge and electric field is known to be,

E = 1/4πε₀ × Q/r² = 9 × 10⁹ × (-5.4 × 10⁻⁹)/(23 × 10⁻²)² = (9 × 5.4)× 10⁴/(23)² = 918.7 N/C

Thus, the magnitude of the electric field due to this charge at a distance of 23.0 cm from the charge is calculated to be 918.7 N/C.

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Block B on the exterior f-F = ma c f-F = mv2 2d f-F = D = mv2 d f-F E f-F = v2 2d.

A thing's top, exterior, or outermost layer: Tropical rain forests once covered 10% of the earth's surface. The marble has a smooth, polished surface.

The surface of the picture is covered in little fissures. The bowl's exterior has a glossy finish. The wood was rough on the outside. Ice-covered roads ought to be avoided. The phrase "on the surface" describes how something seems, even if it isn't really the case.

The formulas F- f = mv2 / d can be used to determine the force of friction that the surface exerts on the block.

F - f = ma

a = v/t

t = d/v

F - f = m × v / t

F- f = m ×

F- f = m × v²/d

Therefore,

F- f = mv² / d

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Answer:

C. In the passage, it seems that both of the cells have the same job, so I would go with C.

A = (v-u)/t, where an is acceleration, v is final speed, u is initial speed, and t is time, is the equation for acceleration. When the values are filled in, we obtain a = (60-20)/5 or an is 8 m/s2.

The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t). This enables you to calculate the change in velocity in meters per second squared (m/s2).

+2 m/s2

If there is no change in velocity between 2 and 3 seconds, the acceleration is 0 m/s2. The acceleration is +2 m/s2 over the first 0 to the second interval. The acceleration is zero between seconds two and three. The acceleration is -3 m/s2 throughout the three to six-second period.

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A diver can regulate his rate of rotation and reach the water in a vertical position because his angular momentum stays constant while he is in the air. This information makes it easier for us to comprehend how this is possible.

As a result, Option D is accurate.

The rotating counterpart of linear momentum in physics is called angular momentum. Given that the total angular momentum is conserved, or remains constant in a closed system, it is an important physical quantity. By dividing the rotational inertia of an item by the angular velocity, one may get its angular momentum. The angular velocity of an item is used to calculate its rotational speed. An object's rotational inertia is what makes turning it challenging. On an ice rink or in an office, someone spinning

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