a horizontal rope is tied to a 50 kg box on frictionless ice. what is the tension in the rope if: a. the box is at rest? b. the box moves at a steady 5.0 m/s? c. the box has vx

Answer:

P = I V = I*2 R       power used in resistive circuit

Doubling the current will cause a 4X increase in power consumed

Answer:

When a car brakes, it experiences a forward deceleration force, which is generated by the braking system. This force acts in the opposite direction to the car's motion and causes the car to slow down. As a result of this force, the horizontal forces acting on the car change.

When the brake is applied, the friction between the brake pads and the rotors generates a braking force that acts on the wheels. This force causes the wheels to slow down and, as a result, the car's forward motion is slowed down as well.

At the same time, the car's weight shifts forward, causing a decrease in the vertical force acting on the rear wheels and an increase in the vertical force acting on the front wheels. This increase in the front wheel's vertical force creates more friction between the tires and the road, which in turn generates a larger horizontal force that acts to slow down the car.

Additionally, as the car slows down, the aerodynamic drag acting on the car decreases, resulting in a smaller horizontal force acting on the car. However, the net effect of all these changes is a decrease in the car's forward motion and a corresponding decrease in the horizontal forces acting on the car.

The distance covered by the truck would be 188.4 meters.

Initial velocity, u = 63 km/h = (63 x 1000 m) / (3600 s) = 17.5 m/s

Final velocity, v = 84 km/h = (84 x 1000 m) / (3600 s) = 23.3 m/s

We can use the equation:

v^2 = u^2 + 2as

where v is the final velocity, u is the initial velocity, a is the acceleration, s is the distance traveled.

Substituting the values we get:

(23.3)^2 = (17.5)^2 + 2(1.25)s

Simplifying and solving for s, we get:

s = [(23.3)^2 - (17.5)^2] / (2 x 1.25) = 188.4 meters (rounded to one decimal place)

Therefore, the truck travels a distance of 188.4 meters as it accelerates uniformly from 63 km/h to 84 km/h with an acceleration of 1.25 m/s^2.

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The potential energy of an object at a height h above the earth’s surface is given by the formula U = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height above the earth’s surface.

Given that the object has a potential energy of 1200 J and a mass of 20 kg, we can rearrange the formula to find the height h:

h = U / (mg)

Substituting the given values, we get:

h = 1200 J / (20 kg x 9.81 m/s^2) = 6.12 m

Therefore, the object is at a height of 6.12 meters above the earth’s surface.

Given that mass is independent of everything, the first part of the question's response is straightforward: As mass does not change as you move from one location in the universe to another, the boy on the moon will still have the same mass as the boy on Earth.

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The speed of the star is approximately 29979.2458 m/s.

The speed of star can be solved using the Doppler shift formula:

Δλ/λ = v/c

where Δλ is the shift in wavelength,

λ is the rest wavelength,

v is the velocity of the object (in this case, the star), and

c is the speed of light.

Substituting the given values, we get:

(1000.1 nm - 1000.0 nm) / 1000.0 nm = v/c

Simplifying, we get:

0.1 nm / 1000.0 nm = v/c

v = (0.1 nm / 1000.0 nm) * c

v = 299792458 m/s * (0.1 nm / 1000.0 nm)

v = 29979.2458 m/s

Therefore, the speed of the star is approximately 29979.2458 m/s.

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Projectile motion is the motion of an object that is projected into the air and then follows a path determined by the forces acting on it.

Velocity, displacement, angle, and time are all related in projectile motion. The velocity of a projectile determines its speed and direction. The initial velocity of the projectile is composed of two components, the horizontal velocity and the vertical velocity. The horizontal velocity remains constant throughout the projectile motion, while the vertical velocity changes due to the force of gravity. The displacement of the projectile is its change in position during the motion. The displacement is dependent on both the initial velocity and the time elapsed. The horizontal displacement is determined by the horizontal velocity and time, while the vertical displacement is determined by the vertical velocity and time. The angle of projection is the angle at which the projectile is launched into the air. The angle affects the initial velocity components and determines the shape of the projectile path. The time of flight is the total time that the projectile is in the air. The time of flight is dependent on the vertical velocity component, the angle of projection, and the height of the launch point. In summary, the velocity, displacement, angle, and time are all related in projectile motion, and changes in any one of these factors will affect the trajectory of the projectile.

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The maximum height reached by the baseball is 24.5 meters.

We can use the kinematic equation for the vertical motion:

h = vi*t + (1/2)at^2

where h is the maximum height reached by the baseball,

vi is the initial vertical velocity,

a is the acceleration due to gravity (-9.8 m/s^2),

and t is the time taken for the ball to reach its maximum height.

At the maximum height, the vertical velocity of the ball is zero. Therefore, we can write:

h = (1/2)at^2

We know that the total time for the baseball to travel to the outfield and return is 5 seconds, so the time taken to reach the maximum height is half of that or 2.5 seconds.

After substituting the values we know, we get:

h = (1/2)(-9.8 m/s^2)(2.5 s)^2

h = 24.5 meters

Therefore, the maximum height the baseball reached is approximately 24.5 meters.

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The change in the electrical energy of a proton would be 2.40 x 10^-16 J.

The change in electrical potential energy of a charged particle in a uniform electric field is given by the equation:

ΔPE = qEd

where q is the charge of the particle, E is the magnitude of the electric field, and d is the distance moved by the particle in the direction of the electric field.

In this case, the proton has a charge of q = 1.60 x 10^-19 C and moves a distance of d = 5 m - 2 m = 3 m in the direction of the electric field. The magnitude of the electric field is E = 5.0 x 10^2 N/C.

Substituting these values into the equation, we get:

ΔPE = (1.60 x 10^-19 C)(5.0 x 10^2 N/C)(3 m)

ΔPE = 2.40 x 10^-16 J

Therefore, the change in electrical energy of the proton as it moves from x = 5 m to x = 2 m is 2.40 x 10^-16 J.

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Answer:

Generally. the index of refraction of the solid is greater than 1

V(air) / V(solid) = N   (index of refraction)

Since V (solid) = V (air) / N     and   V(soiid) = λ(solid) * f

V(solid) / V(air) = [V (air) / N] / (V air) = 1 / N

The velocity is less in the solid and the wavelength is also less

Answer: In its most basic form, a moment is the product of the distance to a point, raised to a power, and a physical quantity (such as force or electrical charge) at that point: is the physical quantity such as a force applied at a point, or a point charge, or a point mass, etc.

The Principle of Moment says that when a system is in equilibrium the sum of its clockwise moments will be equal to the sum of its anticlockwise moments. Some examples where moments i.e. turning effects are applicable will involve levers, like seesaws, opening and closing doors, nutcrackers, can openers, and crowbars.

Explanation:

The mantissa distance, which is referred to as the decimal portion of a logarithm, has a value of 0.030 in this number.

A common logarithm's integral portion is known as the characteristic, and its non-negative decimal portion is known as the mantissa. If log 39.2 equals 1.5933, then 1 is the characteristic and 5933 is the logarithm's mantissa.

The base-10 logarithm's mantissa, which represents the digits of the provided integer but not its magnitude, is a common logarithm's fractional component. For instance, both ㏒10201.3010 and                    ㏒102002.3010 have a mantissa of 0.3010.

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Answer: False

Explanation:

It is generally knowledge that sound waves may bend around corners or pass through doorways, enabling us to hear conversations taking place in nearby rooms.

The air on the opposing side of the barrier also vibrates as a result of the audio hitting the wall. You will be able to hear some sound through a sturdy, solid wall since it won't spread the vibrations too much.

A reflecting wave is created as a sound crosses a room and collides with a wall, reintroducing some of that waveform back into the space. The originating sound will endeavor to go through the wall and into the next space. Sound Transmission is the name for the energy that remains after this transmission.

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Analog signals are continuous waves that keep changing over a time period, while digital signals are binary signals that consist of 0s and 1s1. Digital signals are more resistant to noise and interference, which makes them more reliable when compared to analog signals.

Digital signals are also easier to transmit and store, and they can be compressed without losing quality1. However, analog signals can carry an infinite amount of data, and they are less expensive to operate than digital signals.

In conclusion, digital signals are more reliable than analog signals for encoding and transmitting information because they are more resistant to noise and interference, and they are easier to transmit and store.

Analog signals are continuous waves that keep changing over a time period, while digital signals are binary signals that consist of 0s and 1s. Analog signals are described by the amplitude, period or frequency, and phase, while digital signals are described by bit rate and bit intervals. Analog signals have no fixed range, while digital signals have a finite number of values, i.e., 0 and 1. Analog signals are more prone to distortion, while digital signals are more resistant to noise and interference .

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"The required kelvin temperature when celsius temperature is given is calculated to be 305.65 K."

There are three main scales to measure temperature. They are Celsius, Fahrenheit and Kelvin scales of measurement. Kelvin is said to be the official metric unit of temperature.

The temperature of water is given as 32.5 °C.

The same temperature in kelvins should be found out.

Converting celsius scale temperature to kelvin scale, we should add up 273.15 to the temperature in celsius scale.
Kelvin temperature = 273.15 + Celsius temperature

Kelvin temperature = 273.15 + 32.5 °C = 305.65 K

Thus, the kelvin temperature is calculated to be 305.65 K.

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When a car travels up one side of a hill and down the other, it can lose contact with the road if it goes too fast. The maximum speed the car can have without losing contact with the road is 21.8 m/s.

The weight of the car is equal to its mass times gravity, which is equal to m * g. The normal force, on the other hand, is the force that the ground exerts on the car, and it is equal in magnitude to the weight of the car but in the opposite direction.

When the normal force is zero, the car loses contact with the road, which is why we're looking for the maximum speed that will still produce a normal force greater than zero.

Thus, the maximum speed can be found using the equation: v² / R = g; where v is the maximum speed of the car,

R is the radius of the circular arc, and

g is the acceleration due to gravity.

Substituting the given values gives: v² / 45.0 = 9.81

Solving for v, we get: v = √(45.0 * 9.81) = 21.8 m/s

Therefore, the maximum speed the car can have without losing contact with the road is 21.8 m/s.

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Waves that vibrate upward and downward can be thought of as having a frequency of 2 Hz, and waves that move a certain distance in a certain amount of time—1 second—have a wave speed of 20 m/s.

A wave is an energetic disturbance in such a medium that doesn't include any net particle motion. Elastic deformation, a change in pressure, an electric or magnetic strength, an electric potential, or a change in temperature are a few examples.

Waves are aberrations that spread or migrate away from their source. Waves can transport energy between sites, but they do not always transport mass. Ocean waves, light waves, and sound waves are typical types of waves.

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Answer:

Ursa Major

Explanation:

The constellation that appears to have the shape of a big ladle or a question mark is Ursa Major (also known as the Great Bear).

Answer: C

Explanation: When you have a tomato for example, it absorbs every color but red and therefore, appears red.

The distance between the two stars is approximately 35.65 light-years.

To determine the distance between the two stars in light-years, we need to use the parallax formula:

distance = 1 / (parallax angle in arcseconds)

For the first star, the distance is:

distance = 1 / 0.11 = 9.09 parsecs

For the second star, the distance is:

distance = 1 / 0.13 = 7.69 parsecs

To determine the distance between the two stars, we can use the law of cosines:

c² = a² + b² - 2abcos(C)

where;

We know that the angle between the two stars is 5 degrees, or 300 arcminutes, or 18,000 arcseconds.

Converting the distances to light-years:

a = 9.09 x 3.26 = 29.59 light-years

b = 7.69 x 3.26 = 25.06 light-years

Substituting into the law of cosines:

c² = (29.59)² + (25.06)² - 2 x 29.59 x 25.06 * cos(18,000 arcseconds)

c² = 1,271.57

c = 35.65 light-years

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Answer:

2,500,000,000,000 = 2,5 x 10^12

0.00023 = 2.3 x 10^-4

101 = 1.01 x 10^2

0.0000000032 = 3.2 x 10^9

Explanation:

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To read text at a near-point distance of 22 cm, a person who has had cataract surgery would need a corrective lens with a refractive power of +4.5 diopters.

If a person has had the surgical removal of the variable lens of the eye, they would have lost the ability to accommodate (change the shape of the lens to focus on objects at different distances). Therefore, they would require corrective lenses to see clearly at different distances.

To determine the power of the corrective lenses required to read text at a near-point distance of 22 cm, we can use the following formula:

[tex]1/f = 1/d_o + 1/d_i[/tex]

where:

f = focal length of the corrective lens

[tex]d_o[/tex] = object distance (distance from the eye to the object)

[tex]d_i[/tex]= image distance (distance from the eye to the image formed by the corrective lens)

We want to find the power of the corrective lens, which is given by:

[tex]P=1/f[/tex]

The near-point distance [tex](d_o)[/tex]  is 22 cm = 0.22 m. Since the cornea's refractive power focuses objects at infinite distances onto the retina, we can assume that the object distance is effectively at infinity, i.e., [tex]d_o = \infty[/tex]

Therefore, the formula becomes:

[tex]1/f = 1/\infty + 1/d_i[/tex]

[tex]1/f = 0 + 1/d_i[/tex]

[tex]f = d_i[/tex]

We want to find the focal length [tex](d_i)[/tex]  of the corrective lens required to form an image of the text at a distance of 22 cm from the eye.

Using the formula, we get:

[tex]f = d_i = \frac{1}{(1/d_o + 1/d_i)}[/tex]

[tex]d_i = \frac{1}{(1/d_o + 1/f)}[/tex]

[tex]d_i = \frac{1}{(1/0.22 + 1/\infty)}[/tex]

[tex]d_i = 0.22 m[/tex]

Now, we can calculate the power of the corrective lens required as follows:

[tex]P = 1/f[/tex]

[tex]P = 1/0.22[/tex]

[tex]P = +4.5[/tex]  diopters (to the nearest tenth of a diopter)

Therefore, the power of the corrective lenses required to read text at a near-point distance of 22 cm is +4.5 diopters (convex lenses).

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The maximum speed of the mass is given by vmax = sqrt((k/m)xmax²) and the maximum stretch from equilibrium is given by xmax = ((2/m)(1/2)mv0²/k).

The mass is given an initial displacement x0 from equilibrium and an initial speed v0. The maximum speed and maximum stretch from equilibrium can be found using energy methods.Ignoring friction, the total energy of the system is given as E = (1/2)kx0² + (1/2)mv0², where (1/2)kx0² represents the potential energy of the spring, and (1/2)mv0² represents the kinetic energy of the mass.

At maximum speed, all potential energy is converted to kinetic energy. Therefore, we can say that (1/2)kxmax² = (1/2)mvmax², where xmax is the maximum stretch of the spring from equilibrium and vmax is the maximum speed of the mass. Therefore, we can say that (1/2) mvmax² = (1/2) kx0², where x0 is the initial displacement of the mass from equilibrium.  

Therefore, the maximum speed of the mass is given by vmax = ((k/m)xmax²) and the maximum stretch from equilibrium is given by xmax = ((2/m)(1/2)mv0²/k). These equations can be used to find the maximum speed and initial displacement and velocity.

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The president plays the part of an economic leader by planning the government budget.

examining data on monetary movements and trends. examining federal policies and initiatives to make sure they continue to support strong economic principles. advocating for economic measures that will help American workers.

The President of the United States, who also serves as head of state and commander-in-chief of the armed forces, is given control over the Executive Branch. The president's responsibility as chief legislator is to have an impact on the creation of laws. Through his State of the Union Address, the president contributes to setting the country's policy agenda.

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We can see here that the galaxy classes illustrated by the shapes are:

A1:  Irregular (Irr)

A2: Lenticular (SO)

A3: Spiral (SA)

A4: Intermediate spiral (SAB)

B1:  Lenticular (SO)

B2: Irregular (Irr)

B3:  Intermediate spiral (SAB)

B4: Elliptical (E)

A galaxy is a vast system of stars, gas, dust, and other matter that is held together by gravity. It is one of the fundamental building blocks of the universe.

Galaxies come in a variety of shapes and sizes, ranging from small dwarf galaxies to massive elliptical galaxies. Our own Milky Way galaxy contains billions of stars and is just one of countless galaxies in the observable universe.

Galaxies play an important role in the evolution of the universe, as they are the sites of star formation, supernovae explosions, and the merging of smaller galaxies into larger ones.

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Answer:

D

Explanation:

The speed of the 20-kg ball after collision is 11.7 m/s, and it is traveling in the westward direction. We can also say that the direction of the velocity is opposite to the direction of the initial velocity of the first ball.

Mass of the first ball ([tex]m_{1}[/tex]) = 6 kg

Velocity of the first ball before collision ([tex]v_{1}[/tex]i) = 30 m/s, traveling westward

Mass of the second ball ([tex]m_{2}[/tex]) = 20 kg

Velocity of the second ball before collision ([tex]v_{2}[/tex]i) = 0 m/s, at rest

Velocity of the first ball after collision ([tex]v_{1}[/tex]f ) = 9.0 m/s, traveling eastward

Velocity of the second ball after collision ( [tex]v_{2}[/tex]f)

Equation:Conservation of momentum:

[tex]m_{1}[/tex][tex]v_{1}[/tex]i+ [tex]m_{2}[/tex][tex]v_{2}[/tex]i=[tex]m_{1}[/tex] [tex]v_{1}[/tex]f + [tex]m_{2}[/tex] [tex]v_{2}[/tex]f

We can use the conservation of momentum equation to solve for the final velocity of the second ball (v2f). First, we need to find the initial velocity of the first ball in the eastward direction, which can be found using the velocity formula:

[tex]v_{1}[/tex]i,east = -[tex]v_{1}[/tex]i,west = -30 m/s

Now, we can substitute the given values into the conservation of momentum equation and solve for [tex]v_{2}[/tex]f:

[tex]m_{1}[/tex][tex]v_{1}[/tex]i+ [tex]m_{2}[/tex][tex]v_{2}[/tex]i= [tex]m_{1}[/tex][tex]v_{1}[/tex]f + [tex]m_{2}[/tex] [tex]v_{2}[/tex]f

(6 kg)(-30 m/s) + (20 kg)(0 m/s) = (6 kg)(9.0 m/s) + (20 kg)( [tex]v_{2}[/tex]f )

-180 kgm/s = 54 kgm/s + 20 kg [tex]v_{2}[/tex]f

-234 kgm/s = 20 kg [tex]v_{2}[/tex]f

[tex]v_{2}[/tex]f = (-234 kgm/s) / (20 kg)

[tex]v_{2}[/tex]f = -11.7 m/s

Therefore, the speed of the 20-kg ball after collision is 11.7 m/s, and it is traveling in the westward direction. We can also say that the direction of the velocity is opposite to the direction of the initial velocity of the first ball.

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The small propeller located at the tail of a helicopter is called the tail rotor. Its purpose is to counteract the torque produced by the main rotor of the helicopter.

When the main rotor spins, it produces a torque that tries to rotate the body of the helicopter in the opposite direction. This is due to Newton's Third Law, which states that for every action, there is an equal and opposite reaction. The tail rotor, which is mounted perpendicular to the main rotor, produces a sideways thrust that counteracts the torque of the main rotor and keeps the helicopter stable.

The pilot can control the amount of thrust produced by the tail rotor through the helicopter's pedals. By pushing on the left pedal, the pilot increases the thrust of the tail rotor and causes the helicopter to rotate to the left. Similarly, pushing on the right pedal increases the thrust on the right side of the tail rotor and causes the helicopter to rotate to the right. This allows the pilot to control the direction and orientation of the helicopter in flight.

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The driver should be at least 39 meters behind the vehicle in front at 30mph. Rounded to 2 significant figures, this is 39 meters

The recommended safe following distance while driving is at least 3 seconds behind the vehicle in front of you. At 30mph (or approximately 13 meters per second), a 2-second following distance would be:

3 seconds x 13 meters/second = 39 meters

Therefore, the driver should be at least 39 meters behind the vehicle in front at 30mph. Rounded to 2 significant figures, it could then be concluded that the driver should be at least 39 meters.

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Answer:

please make me brainalist and keep smiling dude

Explanation:

Answer:

Explanation:

Nagar Panchayat (for an area in transition from rural to the urban area);

Nagar Panchayat (for an area in transition from rural to the urban area);Municipal Council for the smaller urban area; and.

Nagar Panchayat (for an area in transition from rural to the urban area);Municipal Council for the smaller urban area; and.Municipal Corporation for a larger urban area.