A balloon is climbing vertically upwards with a constant velocity of 4.2ms".
a sandbag is dropped from the balloon and hits the ground 3.6 seconds later.
calculate or find:

a) velocity of the sandbag as it hits the ground.

b) height of the sandbag at the instant that it is dropped.

To sketch the paths that the two blocks of ice take during a turn draw, mark, and direct the arrows based on centripetal force.

To sketch the paths that the two blocks of ice take during a turn, you can follow these steps:

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The wave model of light is used to understand the pattern when the pencil is at a great distance from the screen, the shadow shows light and dark bands, clear signs of diffraction and interference.

Huygens' Light Wave Model. According to Huygens' theory of light, light acts like a longitudinal wave. Huygens perceived the movement of a wave as the transmission of light. He said that by watching the movement of water surfaces, it is possible to better understand the nature of light.

Christiaan Huygens, an astronomer, devised a wave model of light.

Electrons move so quickly around a central nucleus that they resemble energy waves. The electron orbital clouds take on many forms as electrons jostle one another. According to scientists, there could be up to seven primary energy levels for the electrons surrounding the nucleus in an atom.

as airy as a wave One way to think of light is as an electromagnetic wave. According to this paradigm, a shifting magnetic field is produced by a shifting electric field.

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The work done by resistive force from starting to return of the trip is -27.04KJ

The resistance to movement is caused when two objects rub against one another is called friction. Friction occurs whenever two items come into interaction with one another. Friction acts in the exact opposite direction from the motion and works against it. The two surfaces' respective materials have an impact on how much friction exists.

d1 = 5.2km east ; d2 = 5.2 Km west

f1 = 2.4N ; f2 = 2.8N

Work done = F.s => F scosФ

Ф => Angle between force and displacement

W1 = f1 d1 cosФ

    => 2.4 x 5200mx cos180

   => - 12.480KJ

W2= f2 d2 cosФ

    => 2.8 x 5200m x cos180

   => -14.56KJ

Total work done => W1 + W2 = - 12.480KJ + (-14.56KJ)

                           => -27.04KJ

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"Compared to its average speed in air, the average speed of a beam of light in glass is less."

The expression for refractive index of a medium is given as, μ = c/ν

where,

μ is the refractive index of the medium

c is speed of light in the vacuum

ν is the speed in the medium of refractive index μ

As, the speed of light in vacuum is constant, μ ∝ 1/ν

Any media's refractive index and the speed of light in that medium are inversely related. Given that glass has a greater refractive index than air, light travels slower through glass than through air. So, option (A) and (B) are incorrect and option (C) is correct.

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if it didn't have a ramp it would be harder to load the truck.

The color of light that travels faster in crown glass is red.

The speed of light in crown glass is the speed of light in a vacuum divided by the index of refraction of crown glass.

The speed of light traveling in vacuum = 3 times 10 to the 8 meters per second

The index of refraction of the crown glass for red light = 1.513

The index of refraction of the crown glass for blue light = 1.529

Therefore:

The speed of red color = 1.983 times 10 to the 8 meters per second

The speed of blue color = 1.962 times 10 to the 8 meters per second

Hence, the red light travels faster.

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The inductive reactance of the inductor will be 376.99 ohms.

Inductive reactance is the opposition or resistance provided by an inductor to a changing current flow. Ohm (Ω) is the SI unit for inductive reactance.

The inductive reactance (Xl) of an inductor can be calculated using the formula Xl = 2πfL, where f is the frequency of the circuit in hertz and L is the inductance of the inductor in henrys.

In this case, the circuit's frequency is 60 Hz and the inductance of the inductor is 3 H. So, the inductive reactance is:

Xl = 2πfL = 2π(60)(3) = 376.99 ohms.

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P is power, V is voltage, I is current, and θ is the phase angle between the current and voltage. In this case, the voltage across the load is 60V, the current is 4.8A, and the phase angle is 30 degrees.

Z= 60+j80

Z = R+ jx

So X = 80

Current I = 4.8 A

Reactive power =(i)2 X

= 4.8x4.8x80= 1843 vars absorbed by load.

The three independent wires required for a three-phase connection, on the other hand, are used to transmit electricity. The voltage of a single-phase power supply system can go as high as 230 Volts. However, it can transmit a voltage of up to 415 Volts on a three-phase connection.

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The weight of the automobile is 19.94KN

Weight is the measure of the pull of gravity on an object. It is usually measured in units of mass, such as kilograms (kg) or pounds (lbs).

Depending on the object, the weight can be affected by the environment, including gravity, atmosphere, and other forces.

Weight of the automobile = (4 tires) x (gauge pressure) x (contact area) x (gravitational acceleration)

                                         = (4) x (2.3 105 Pa) x (0.027 m2) x (9.8 m/s2)

                                        = 1.994 x 104 N

                                        = 19.94 kN

Therefore, The weight of the automobile is 19.94KN

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Given that the distance between the crest and the trough is 3 meters, the amplitude should be half of that, which is 1.5 meters.

Here are a few illustrations of amplitude:The distance between a wave's peak and the still water's surface is how large of a wave it is.The concentration of air molecules at the core of a compression and pulse of sound would determine the amplitude of the a sound wave.

The maximum displacement of a wave propagating medium particle from its mean location to its extreme position is the amplitude.

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Answer:

So, 20W of light energy is produced per second.

Explanation:

a) To calculate the current flowing through the bulb, we use the formula:

I = P / V

Where P is the power in watts (100 W) and V is the voltage (220 V).

I = 100 / 220 = 0.45 A

b) To find the light energy produced per second, we use the formula:

E = P x t

Where P is the power in watts (100 W) and t is the time in seconds.

As we know only the power and not the time, we have to calculate the energy efficiency of the bulb.

Efficiency = (Energy output/ Energy input) * 100

Efficiency = (Light energy output / Total energy input) * 100

Let's assume that the bulb is on for 1 sec

Efficiency = (Light energy output / 100W) * 100

Light energy output = (Efficiency / 100) * 100W = 20W

Efficiency = 20%

So, 20W of light energy is produced per second.

Answer:

So, 20W of light energy is produced per second.

Explanation:

a) To calculate the current flowing through the bulb, we use the formula:

I = P / V

Where P is the power in watts (100 W) and V is the voltage (220 V).

I = 100 / 220 = 0.45 A

b) To find the light energy produced per second, we use the formula:

E = P x t

Where P is the power in watts (100 W) and t is the time in seconds.

As we know only the power and not the time, we have to calculate the energy efficiency of the bulb.

Efficiency = (Energy output/ Energy input) * 100

Efficiency = (Light energy output / Total energy input) * 100

Let's assume that the bulb is on for 1 sec

Efficiency = (Light energy output / 100W) * 100

Light energy output = (Efficiency / 100) * 100W = 20W

Efficiency = 20%

So, 20W of light energy is produced per second.

Answer:

helps us predict how a magnetic field would interact with an electric circuit to produce an electromotive force

Explanation:

An aeroplane travelling northeast at 25 m/s increases its speed to 30 m/s in 10 seconds. The aeroplane accelerates at 0.5 m/s².

a=v-u/t

a= 30-25/10

a= 5/10

a= 0.5 m/s²

Speed is defined as the ratio of distance travelled to time spent travelling. Because it has only one direction and no magnitude, speed is a scalar quantity.

The most important concept in science is measurement. Many measurable quantities are expressed in base or physical fundamental units. One such measurable quantity is speed, which is defined as the ratio of the distance travelled by an object to the time required to travel that distance. Let us learn about speed in depth in this session.

When an object travels the same distance in equal time intervals, it is said to be moving at a uniform speed. When an object travels a different distance at equal intervals, it is said to be moving at a variable speed.

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The momentum of the bowling ball is 500kgm/s and that of the marble is 250kgm/s. Therefore, the momentum of bowling ball is greater than that of marble.

Momentum is the product of the mass and velocity of an object. It is a quantity of motion of an object. It is a vector quantity because it possess both the magnitude and the direction. The SI unit of momentum is kgm/s.

p = m × v

where, p = momentum of the object,

m = mass of the object,

v = velocity of the object.

The momentum of the bowling ball with a mass of 25kg and a velocity of 20m/s is:

p = 25 × 20 = 500kgm/s

The momentum of the marble with a mass of 5kg and velocity of 50m/s is:

p = 5 × 50 = 250kgm/s.

Therefore, the momentum of the bowling ball is more than the momentum of the marble.

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Explanation:

The force of gravity on a woman who weighs 926 N on the surface of the earth is 926 N. The weight of an object is a measure of the force exerted on the object due to gravity, and is equal to the mass of the object multiplied by the acceleration due to gravity. On the surface of the Earth, the acceleration due to gravity is approximately 9.8 m/s^2.

Answer:926N

Explanation:

Force=926N.

The units of force are in N (Newtons). The units of weight are in Kg (Kilograms)

Force = Mass * Acceleration

On the surface of the Earth, the acceleration would be gravity, 9.81m/s²

If calculating mass...

F=mg

926N=m(9.81m/s²)

m=94.393476kg

The force FB, assuming the shall is running at a constant speed is 750lbf.

The segment flexes due to the bending moment, and the section rotates due to the torque (torsional moment). A machine member is said to be in torsional when it is subjected to two equal and opposite couplings acting in a parallel plane. Torsional shear stress is the name for the tension that torsion creates. At the centroidal axis, it is zero, and at the outside surface, it is highest.

Ф= 20∘

 FA=300 lbf

d=1.25in

summation Mt => f cos 20∘ x 4 = 300 cos20∘ x 10

     Fb => 750lbf.

a technique for determining out the optimal number of preload or initial axial compression between two tapered roller bearings. Two forces often act on a bearing since it typically enables a shaft to easily rotate about a rotational axis: a circular

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The velocity at the top of the loop will depend on the mass of the passengers and the shape of the loop. Assuming a circular loop and a typical passenger mass, the velocity must be at least 12.2 m/s.

What is the mass ?

A particular object's mass is a measurement of its amount of matter. It is typically expressed in grams (g) or kilograms (kg). Mass is a scalar quantity, meaning that it has no direction and is only expressed as a numerical value. Mass is an important concept in physics, particularly in the study of mechanics. Mass can be used to calculate an object's weight, which is the force of gravity on an object. Weight is a vector quantity, meaning that it has both a direction and a numerical value.

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The apparent weight of the passenger at the lowest point is 90 kg and at the highest point it changes due to the centrifugal force.

What is centrifugal force?

The centrifugal force is an apparent force that is observed in a rotating reference frame. It is the force that appears to push objects away from the center of rotation. It is not a real force, but rather a pseudo-force that is caused by the inertia of an object in motion. In other words, it is the inertia of an object that makes it appear as if there is a force pushing it away from the center of rotation.

A. At the lowest point of the circle, the rider is at the bottom of the Ferris wheel and moving at the same velocity as the wheel. Therefore, the apparent weight of the passenger is equal to the true weight, which is 90 kg.

B. At the highest point of the circle, the rider is at the top of the Ferris wheel and is moving at a slower velocity than the wheel. Therefore, the apparent weight of the passenger is less than the true weight. This effect is known as the centrifugal force. The formula for the apparent weight at the top of the Ferris wheel is:

Apparent weight = True weight x (1 - (v^2/r^2))

where v is the velocity of the Ferris wheel and r is the radius of the Ferris wheel.

In this case, the velocity of the Ferris wheel is (2πr)/T = (2π40ft)/24s = 4.71 ft/s

The radius of the Ferris wheel is 40ft

So, the apparent weight of a 90 kg passenger at the highest point of the circle is:

90 kg x (1 - (4.71^2 / 40^2)) = 90 kg x (1 - 0.12) = 90 kg x 0.88 = 79.2 kg.

Therefore, due to centrifugal force the apparent weight of the passenger at the highest point of the circle is 79.2 kg.

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a starting speed is 65.2 m/s at the a 34.5 degree angle above vy = 22.229 I rounded up to 22.2 m/s.

An effort at a solution In order to begin, I needed to determine the beginning speed in the x and y directions. To do this, I first created a right triangle with an angle of 34.5 and a hypotenuse of 65.2 m/s. From there, I calculated the opposite (sin34.5 = opp/65.2), which gave me the result of 36.929. Next, I calculated the neighboring (cos34.5 = adj/65.2) & obtained 53.733. My Xo is next to it, and my Yo is to the contrary.

How can the speed of a bullet at a specific moment be determined?

V y = V y Zero g t is the equation. An online tool that determines vertical velocity is called the Missile Motion for Horizontal Velocity Calculatorthe particle moving like a projectile.

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The electric motor takes 7,5 seconds to lift the 50 N. It is important to note that Power is a rate and energy is a scalar quantity.

To estimate the power required by a motor over a certain period of time, you would need to know the load that the motor will be driving (such as the weight of the object being moved, the resistance of the system, etc.) and the operating conditions (such as the speed at which the motor will be running, the duration of the operation, etc.).

Power = Force x velocity

From the text we know that the value of power is 1000 W. The value of force is 50 N and the distance is 150 m.

So, we get:

1000 = 50 N x velocity

Velocity = 20 m/s

To know how long a power rating of 1000 W can take the motor to lift a 50 N, we can use the formula:

s = v x t

Because we want to know the time, so the it will be

t = s/v

t = 150/20

t = 7,5 second

Or we can calculate it by this formula:

Power = work / time

Power = Force x distance/time

time = Force x distance / Power

time = 50 N x 150 m / 1000

time = 7,5 second

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Expression for the Balmer series to find the wavelength of the spectral line is as follows:   [tex]\frac{1}{\pi } = R ( \frac{1}{2^{2} } - \frac{1}{n^{2} } )[/tex]

Substitute   [tex]1.097 * 10^{7} m^{-1}[/tex]

for R and 4 for n in the above equation

       [tex]\frac{1}{\pi } = (1.097 * 10^{7} m^{-1} ) ( \frac{1}{2^{2} } - \frac{1}{4^{2} } )\\ = 0.20568 * 10^{7} m^{-1} \\\pi = 4.86 * 10^{7} m[/tex]

Balmer series is the series of lines of the atomic hydrogen in the visible and the ultraviolet spectrum. The wavelength of the photon emitted in this series corresponds to the electronic transition at the energy level 4 is in visible range of wavelengths.

How to calculate the wavelength using balmer series?

First, calculate the wavelength using the formula for the Balmer series of the spectral line for different values of n. After that, calculate the smallest wavelength in the Balmer’s series by using the formula for Balmer series. Later, calculate the largest wavelength in the Balmer’s series by using the formula for Balmer series. Later, calculate the smallest value of n, which is the lower limit for wavelength in the visible spectrum by using the formula for Balmer series. Finally, calculate the range for the wavelengths for the corresponding values of m by using the generalized formula for Balmer series.

Therefore, [tex]4.86 * 10^{7} m[/tex] is the answer.

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the radius and the circumference of the circle

After solving the equation: The circumference of the circle is 159.7 cm.

Circumference is the distance around the edge of a two-dimensional shape or a three-dimensional object such as a circle or sphere. It is calculated by multiplying the diameter of the circle or sphere by the number pi (π).

Radius: Let AB be the chord of the circle with centre O.
We are given that the length of perpendicular from the centre O to the chord AB is 9 cm.
Let r be the radius of the circle.
We know that the line segment joining the centre of a circle to any point on the circle is the radius.
Therefore, in triangle OAB,
r = 9 cm (given)
AB = 24 cm (given)
By using Pythagoras Theorem in triangle OAB, we get
r2 = (9 cm)2 + (24 cm)2
r2 = 81 + 576
r2 = 657
r = √657
r = 25.6 cm
Therefore, the radius of the circle is 25.6 cm.
Circumference:
We know that the circumference of a circle is given by the formula
Circumference = 2πr
Therefore, the circumference of the circle is
Circumference = 2π × 25.6 cm
Circumference = 159.7 cm

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The acceleration of the ball when it reaches its maximum height is approximately 9.8 m/s2.

Acceleration is the rate of change of velocity over time. It is a vector quantity, meaning it has both magnitude and direction. Acceleration can be caused by forces, such as gravity, friction, or thrust. It is a measure of how quickly an object is speeding up, slowing down, or changing direction. Acceleration can be positive, negative, or zero. Positive acceleration means an object is speeding up, while negative acceleration means an object is slowing down. Zero acceleration means an object is going at a constant speed in a straight line.

The acceleration of a ball thrown vertically upward when it reaches its maximum height is approximately equal to the acceleration due to gravity, or 9.8 m/s2. This is because the ball is no longer being propelled upwards and is instead falling back down to the ground. Thus, the acceleration of the ball when it reaches its maximum height is approximately 9.8 m/s2.

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Answer:

Explanation:

The amount of time it would take for a conveyor belt to do 40 J of work using a 15 W motor can be calculated by dividing the amount of work (40 J) by the power (15 W). This gives us a time of 2.67 seconds. Rounded to one decimal, this would be 2.7 seconds.

Answer:

[tex]K.E. =1/2mv^2\\6.8*10^4=1/2*175*v^2\\777.14=v^2\\v=27.87 m/s[/tex]

Kinetic energy is the energy possessed by a body due to its motion.

The relative humidity is 20%, meaning that the air is holding 20% of the water vapor it could hold at that temperature.

Relative humidity is a ratio that compares the amount of water vapor present in the air to the amount of water vapor that the air can hold at a given temperature. Typically, a percentage is used to express it.

To calculate relative humidity, we can use the following formula:

Relative humidity = (actual water vapor / water vapor capacity) x 100

Given that the water vapor capacity of the atmosphere in a given location is 25 grams per kilogram of air sampled, and the actual amount of water vapor present is 5 grams per kilogram of air sampled, the relative humidity is:

Relative humidity = (5 / 25) x 100 = 20%

So, the relative humidity is 20%, meaning that the air is holding 20% of the water vapor it could hold at that temperature.

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The multiplicative factor rk for the initial kinetic energy is 2, as the kinetic energy doubles when the mass doubles.

Kinetic energy is the energy possessed by an object due to its motion. It is equal to the work done to accelerate the object from rest to its current velocity. Kinetic energy is associated with the motion of an object and is measured in joules (J). Kinetic energy is one of the most important forms of energy, as it is involved in many physical and chemical processes. Kinetic energy is also related to velocity, and can be calculated using the formula KE = ½ mv2, where m is the mass of the object and v is its velocity.

The multiplicative factor rw for the work done by the force is 1, as the work done by the force does not change when the mass of the particle changes.

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The second block weighs one kilogram.

A mass measurement reveals how much matter is there in an object.

Usually, the metric systems of grams, kilograms, and tonnes are used to compute it.

As we know that F = ma.

Considering that the force applied to the first block and the second block are equal.

The acceleration of the first block is 0.2 m/s^2 and the acceleration of the second block is 0.1 m/s^2, we can set up the following equation:

F = ma

where F is the force exerted on both blocks, m1 is the mass of the first block (0.5 kg), a1 is the acceleration of the first block (0.2 m/s^2), m2 is the mass of the second block, and a2 is the acceleration of the second block (0.1 m/s^2).

So substituting,

F = m1 * a1 = m2 * a2

Rearranging for m2

m2 = F / a2

m2 = (F / 0.1 m/s^2)

m2 = (F/0.1) = m1 * (a1/a2)

m2 = (0.5kg * (0.2/0.1)) = 1kg

So, the mass of the second block is 1 kg.

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An electromagnetic wave in a vacuum consists of oscillating electric and magnetic fields that are perpendicular to each other and to the direction of wave propagation. The equations for the electric and magnetic fields of an electromagnetic wave can be written in the form:

E = E0 cos(kx - wt) and B = B0 cos(kx - wt)

Where E0 and B0 are the amplitudes of the electric and magnetic fields, respectively, k is the wave number, x is the position, t is the time, and w is the angular frequency.

The wave number k is related to the wavelength λ and the angular frequency w is related to the period T by the following equations:

k = 2π/λ and w = 2π/T

Given that the wavelength of the wave is 235 μm and the period is T = 2.3 * (1/500 s) = 4.6 x 10^-4 s

The wave number k is:

k = 2π/λ = 2π/235 x 10^-6 m = 8.57 x 10^7 rad/m

The angular frequency w is:

w = 2π/T = 2π/(4.6 x 10^-4 s) = 1369.6 rad/s

The equation for the electric field component of the wave is given as:

E = E0 cos(kx - wt) = 4.40 x 10^-3 V/m cos(8.57 x 10^7 x - 1369.6 t)

The equation for the magnetic field component of the wave is given as:

B = B0 cos(kx - wt) = B0 cos(8.57 x 10^7 x - 1369.6 t)

The coefficient for the magnetic field component of the wave is B0, which is not specified in the question, it can be determined by using the relationship between the Electric field, Magnetic field and the speed of light.

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