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

Force is positive if the mass accelerates downward. Use the formula T = M x A to determine the tension in the rope.

That direction is the pull that is referred to as tension. As a result, the tension will point toward the string or rope and away from the mass.

A mass suspended by a string is pulled upward by the string, exerting an upper force that shifts the tension to the upper side.

For instance, you should know that T = 9g x 2m/s2 = 18gm/s2 or 18N when trying to calculate T in a straightforward pulley system with a linked mass of 9g and an upward acceleration of 2m/s2 (newtons). The direction in which a string expands changes when it passes over an ideal massless pulley, but the string's tension is unaffected.

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A thermal emitter cannot be accurately approximated by hot, thin gas.

Devices known as thermal emitters radiate heat from a heated component. Some of them can be used as broadband infrared light sources for applications in spectroscopy, for instance, when the very low brightness is acceptable. Some of them are special types of incandescent lamps, sometimes in a very compact form. Their emission may be fairly continuous, but not always with high calibration accuracy. Unique designs, such as the globar and the Nernst lamp. These sources occasionally have an infrared filter installed that only allows the transmission of infrared light in a specific spectral range.

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Answer:

Approximately [tex]36\; {\rm J}[/tex].

Explanation:

Under the assumption, there is no friction to hinder the motion of the block. As a result, the increase in the kinetic energy of the block would be equal to the external work done on the block.

Let [tex]F[/tex] denote this magnitude of this force, let [tex]s[/tex] denote the magnitude displacement, and let [tex]\theta[/tex] denote the angle between this force and displacement. To find the work that this force has done on the block, use the formula:

[tex]\begin{aligned}(\text{work}) &= F\, s\, \cos(\theta)\end{aligned}[/tex].

For example, since the block in this question is moving along a horizontal table, displacement of the block would be in the horizontal direction. It is given that the angle between this force and the horizontal direction is [tex]37^{\circ}[/tex]. Thus, the angle between the force and the displacement would be [tex]\theta = 37^{\circ}[/tex].

Magnitude of this force is [tex]F = 15\; {\rm N}[/tex], while magnitude of displacement is [tex]s = 3\; {\rm m}[/tex]. The work done on this block would be:

[tex]\begin{aligned}(\text{work}) &= F\, s\, \cos(\theta) \\ &= (15\; {\rm N})\, (3\; {\rm m})\, \cos(37^{\circ}) \\ &\approx 36\; {\rm N\cdot m} = 36\; {\rm J}\end{aligned}[/tex].

Hence, the kinetic energy of this block would increase by [tex]36\; {\rm J}[/tex].

D) Region A. The observed effect is strongest in Region A, as this region contains the most extreme temperatures and the most extreme change in temperature over time.

What is temperatures ?

Temperatures refer to the degree of hot or cold that something is. It is typically measured in either Celsius or Fahrenheit, with Celsius being the most common metric used.

Temperatures can range from extreme cold to extreme heat, with average temperatures ranging from -40 to 40 degrees Celsius. Temperatures can be affected by a number of factors, including altitude, latitude, and proximity to the ocean. Different climates can experience vastly different temperatures, making it important to know the temperature of a particular area before traveling.

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The photon is typically described as an electromagnetic (EM) wave, such as the image below. These are the two components of the wave longitudinal and transverse.

A photon is a particle of light which essentially is a packet of electromagnetic radiation. The energy of the photon depends on its frequency (how fast the electric field and magnetic field wiggle, this needs better wording, for 'fast electric field' and 'wiggle'.

A photon is a tiny particle that comprises waves of electromagnetic radiation. As shown by Maxwell, photons are just electric fields traveling through space. Photons have no charge, no resting mass, and travel at the speed of light.

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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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Answer:

P V = N R T      is the universal gas equation

If only pressure and volume are considered (the other factors are constant)

P1 V1 = P2 V2

So P2 = (V1 / V2) * P1

This is also known as Boyle's Law:

P V = constant

Answer:

The acceleration of an object can be calculated using Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. The equation is:

F = ma

where F is the force, m is the mass, and a is the acceleration.

So, if we know the mass of the object (m = 56 kg) and the force acting on it (F = 800 N), we can calculate the acceleration (a) by dividing the force by the mass:

a = F / m

a = 800 N / 56 kg

a = 14.28 m/s^2

So the acceleration is 14.28 m/s^2

Answer: 64 m is the maxium distance the ball can travel

Radioactive element  which keeps on decaying over the time. Decay of radioactive element always comes under first order kinetics. Therefore the half life time of  radioactive substance is 2seconds.

Half life tells about the time at which the radioactive material decays to half of its initial concentration.

Mathematically,

half life time=0.693/  rate constant of the decay

The half life of a radioactive substance is the time taken for the activity to halve. Using the graph to calculate the half life of the radioactive isotope, we find that activity that is 3500 so, half of this activity is 17500 which is corresponding to time 2 seconds.

Therefore the half life time of  radioactive substance is 2seconds.

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The object's momentum will vary by an amount equal to 80 N-s.

Describe momentum.

The relationship between a particle's mass and velocity determines its momentum. Having both a force and motion, it has both a direction and a magnitude. The force exerted on a particle is equal to the rate at which its momentum is gaining momentum over time, according to Isaac Newton's second equation of motion.

Newton's second law states that if a steady force acts on a particle for a predetermined period of time, the impulse, which is the result of the force and the intervals (the impulse), is equal to the change in momentum.

The time it would take a constant action to bring a particle to rest, on the other hand, is the measure of a particle's momentum.

According to the details in the query,

The system's starting momentum is 0.

F = ma

a = F/m

a = 10/6

a = 1.67 m/s²

utilize the motion equation,

v = u + at

v = u + (1.67)(8) (8)

v = 13.33 m

The momentum will then be,

p = mv

p = 6 × 13.33

p = 80 N-s.

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So because acceleration of freely falling objects is constant, if a 5 kilogram object starts free falling at rest, its acceleration at 3 seconds is g=9.8 m/s2 or 32.2 ft/s2.

As the gravitational pull of an object changes as it is moved further away from Earth or placed on another planet, so does the object's weight. Regardless of whether an object is on Planet, in deep space, or on the Moon, its mass will always be the same.

For  the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters. Notice that gravitational potential energy has the same units as kinetic energy, kg m2 / s2.

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C. Most stars are too far away to show a parallax shift.we make parallax measurements for most of the stars in our galaxy

What is galaxy?

Galaxy is a term used to describe a large system of stars, star clusters, interstellar gas, and dust bound together by gravity. Galaxies are often classified by their shape, size, and composition.

The Milky Way, our own galaxy, is a barred spiral galaxy, composed of hundreds of billions of stars and gas, bound together by gravity. Other types of galaxies include elliptical, irregular, and dwarf galaxies. Galaxies are often found clustered together in groups and superclusters, which are some of the largest structures in the universe.

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Deoxyribonucleic acid is a polymer composed of two polynucleotide chains that coil around each other to form a double helix.

A nonsense mutation occurs in the DNA when a sequence changes itself and gives rise to a stop codon rather than a codon specifying an amino acid. The presence of the new stop codon results in the production of a shortened protein that is non-functional.

A nonsense mutation is also known as base substitution which results in a stop codon in such a position from where there was not one before, which causes the premature termination of protein synthesis and, more than likely, a complete loss of function in the finished protein.

So we can conclude that a nonsense mutation always causes a loss of amino acids.

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According to the question, the sofa and carpet have a static friction coefficient of 10.519.

Static friction is defined as a force that maintains an object at rest. when someone tries to move a stationary thing across a platform without actually moving their body or the platform they were moving the object across, they face resistance.

Given:

Wight of sofa = 117 kg

Force= 109N

weight = mass × acceleration due to gravity 117 × 9.8 = 1146.6

the mass is given in kilograms, but work in newtons, thus we multiplied the mass by 9.8

acceleration = Zero

force = resistance

substitute force with 109N and resistance with 1146.6× μ

109 = 1146.6 × μ

μ = 1146.6/109

μ = 10.519

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Answer:

since, Pressure=Force/Area

then,Area=Force/Pressure

or,Area=20000/1000

:.Area=20 m²

By replacing the force system acting on the post with a resultant force and a couple of moments at point o we get total momentum of 1478.85 ft-lb.

As per the figure we have 3 forces: At the top 300lb left side 150lnb and at the middle 200lb.

first, we have to break down the forces into x and y components.

Now calculating each force separately:

∑Fₓ=300lb+cos 30°-150×4/3+200

=259.81-120+200

∑Fₓ=339.81lb.

Now, calculate the sum of y components.

∑Fy=300 sin 30°+150×3/5

∑Fy=300 sin 30°+90

∑Fy=240lb

Now we have to x and y components by these values we can find the actual force.

|F|=√Fx²+Fy²

|F|=√(339.81)²+(240)²                     α=tan⁻¹(∑Fₓ/∑Fy)

|F|=√115470.83+57600                      α=tan⁻¹(339.81/240)

|F|=√173070                                       α=35.23°

|F|=416.02 and 35.23°

the sum of moments at O

∑Mo=-Fx₃×2+Fx₂×4-Fx₁×6

∑Mo=-200(2)+4/5 150*4-3000cos30°(6)

∑Mo=-400+480-277.65

         =1478.85ftlb

∑Mo=1478.85ftlb

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the orbital period is  7200sec or 2hours and orbital speed is 7,27m/s

(a) The orbital period of a satellite is the time it takes for the satellite to make one full orbit around the Earth. To calculate the orbital period, we can use the equation: T = 2 * pi * (a^3/GM)^(1/2) where T is the orbital period, a is the semi-major axis of the orbit (which is equal to the altitude of the satellite), pi is approximately 3.14, G is the gravitational constant (approximately 6.67 x 10^-11 m^3/kgs^2), and M is the mass of the Earth (approximately 5.98 x 10^24 kg).Plugging in the given altitude of 2.0 x 10^7 m for a and the known values for pi, G, and M, we get:

T = 2 * pi * (2.0 x 10^7 m)^3/ (6.67 x 10^-11 m^3/kgs^2 * 5.98 x 10^24 kg)^(1/2)

Simplifying, we get:

T = 2 * pi * (8.0 x 10^21 m^3/ (4.03 x 10^34 kg*m^3/s^2))^(1/2)

T = 2 * pi * (1.98 x 10^13 s^2/kg)^(1/2)

T = 7200 sec (or 2 hours)

(b) The orbital speed is the distance traveled by the satellite in one hour. We can calculate the orbital speed using the equation v = 2πa/T

Plugging in the values of a and T we get :

v = 2π (2.0 x 10^7 m) / 7200 sec

v = 7,27 m/s

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In this case, a body of mass 5 kg kept at a height of 10 m. So, the potential energy is given as 500 J.

An object's potential energy is its stored energy. This energy has the capacity to be productive. An object's potential energy is provided by gravity. Gravity's downward force is the source of this potential energy.

The acceleration brought on by gravity is known as the gravitational constant, or g. On Earth, this acceleration is equivalent to 10 metres per second. PE = mgh is the equation for potential energy resulting from gravity. The object's potential energy declines and its kinetic energy rises as it approaches the ground.

Potential Energy = 5 x 10 x 10 = 500J.

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When an item is projected vertically upward, its velocity is assumed to be zero at its highest point, yet it still experiences acceleration from the gravity of 9.8 m/s^2.

This means that anything that is drawn toward the center of the earth has a 9.8-meter acceleration per second as it "falls" to the earth. As a result, each second that such a body is dragged towards the earth, its velocity (the speed with direction) increases by around 9.8 meters per second.

The velocity is constant in uniform motion. In terms of time, neither its magnitude nor its direction change.

Distance is the length of any path connecting any two places. When measured along the shortest path between any two points, displacement is the direct distance between them. The direction is ignored when calculating distance. The direction is accounted for in the displacement calculation.

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The average speed of a bike rider who rides for 3 hours at 40 km/hr and two more hours at 50 km/hr can be calculated by adding the total number of kilometers ridden and dividing it by the total time taken.

In this case, the rider has ridden for a total of 5 hours and has covered a total of 290km (3×40 + 2 × 50). Therefore, the average speed of the rider is 58km/hr (290/5).

Average speed can be defined as the rate at which an object covers a given distance over a given period. It is usually measured in kilometers per hour (km/hr), meters per second (m/s), or miles per hour (mph).

Average speed is calculated by dividing the total distance traveled by the total time taken. In this case, the rider has ridden for a total of 5 hours and has covered a total of 290km (3 × 40 + 2 × 50).

Therefore, the average speed of the rider is 58km/hr (290/5).

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Answer:

Series.

Explanation:

Current is the same in each device since there is only a single pathway for the charge to flow.

Solar energy is called renewable because it is abundant in nature and can be filled repeatedly.

Energy is power or strength that can be used for various activities. Energy cannot be created but can be changed from one form to another and can be transferred.

Solar energy is energy produced from the radiant heat of sunlight that can be utilized by all living things on earth, both humans, animals and plants. Solar energy can also be used as an alternative energy because it is environmentally friendly. This energy is included in renewable energy because the amount is abundant and endless even though it is used in large quantities.

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The right response is B: To catch a ball, a baseball player moves his or her hand backward in the direction of the ball's motion because  the time of impact is increased.

By doing this, the force of impact on the player's hand is mostly reduced. The force needed to stop the ball will decrease as the amount of time it takes to reach zero motion increases. Consider a ball approaching you with 100 units of momentum. To stop the ball, a 100-unit impulse would be necessary. No matter how the impulse is generated, there must be 100 units of it. A force is an effect that can alter an object's motion in physics.

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In ∑ F = m v^2r , both m and r are unknown but remain constant

Any force, or set of forces, can accelerate an object radially or centripetally. A few examples include the tension in a tether ball's rope, the gravitational pull of the Earth on the Moon, the friction between roller skates and a rink's floor, the force of a banked road on a car, and the forces on a centrifuge's tube.

A centripetal force is any net force that produces uniform circular motion. The centripetal force and centripetal acceleration both point in the direction of the centre of curvature. Newton's second equation of motion states that net force equals mass times acceleration, or net F = m a.

The centripetal acceleration—a = a c—determines the rate of acceleration for uniform circular motion.

Consequently, the size of

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The statement is false. The capacitor doesn't charge Q exponentially decays to zero when the RELAY is thrown to position N.O.

As a capacitor charges, its voltage also rise.

V = Q/C

where Q = charge, V = voltage and C = capacitance

If the circuit contains a battery, a resistor and a capacitor all connected in series, then the following are true.

The battery voltage is fixed. And the capacitor voltage is rising. This clearly means that the current through the resistor is dropping.

I = (Vbatt - Vcap)/R

Since the current is dropping, then the rate at which charge is deposited on one plate and removed from the other one continuously drops.

So the charging of the capacitor also slows down because of the rising voltage.

But here the rise in the voltage is slowing down because of the rate of charges that are accumulating and leaving continuously is slowing down.

The slower rise in voltage causes a further slowing in the rate of charge movement which further slows down the rise in voltage which causes an even slower rate of charge movement.

A capacitor is referred as an electrical device which stores electrical charge when it is connected across the source of potential difference.

The total charge that the capacitor can be stored when it is placed across a potential V is given by

Q=CV

where C is the capacitance of the capacitor.

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The Power generated is 77.5 Watt

                                       Power = Work / time

                                                P = W / t

                                                P = Fd/t

                                                P = mgd/t

where, F = force = mg

           d = displacement

            t = time

Given, mass (m) = 155Kg

           g = acceleration due to gravity = 10 m/s^2

           d = 150 cm = 0.15 m

           t = 5.00 x 10^-2 min = 3 seconds

Putting these values in above equation, we get P= 77.5 Watt.

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Answer:

Explanation: case b i think

A. The period of vibration is the time it takes for one complete oscillation to occur. It is the reciprocal of the frequency. The period of vibration can be calculated using the formula:

Period = 1/Frequency

Given that the frequency of vibration is 5.0Hz, the period of vibration is:

Period = 1/5.0 s

Period = 0.2 s

B. If the cart's mass is doubled while the spring constant remains unchanged, the frequency of vibration will not change. This is because frequency is dependent on the spring constant and the mass of the cart and not on the amplitude of the oscillation.

C. If the spring constant doubles while the cart's mass remains the same, the frequency of vibration will also double. This is because frequency is directly proportional to the square root of the spring constant. Therefore, doubling the spring constant would lead to an increase in the frequency of vibration by a factor of square root of 2.

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Answer:

The total amount of energy necessary to carry out this process is 22600 joules (J).

Explanation:

This is because the heat of vaporization (the energy required to change the state of water from liquid to gas) of water is 2260 J/g. Since 10.0 g of water is being heated, the total amount of energy needed is 10.0 g * 2260 J/g = 22600 J.