While cycling at a speed of 18m/s, a cyclist starts going downhill with an acceleration of magnitude 1.6m/s^2. The descent takes 10.0s.
Taking downward direction to be positive, find the speed of the cyclist at the end of the descent.
Find the distance traveled during this time interval.
What assumptions did you make?
a) We have assumed a constant acceleration and a nonlinear motion.
b) We have assumed an increasing acceleration and a completely straight path.
c) We have assumed an increasing acceleration and a nonlinear motion.
d) We have assumed a constant acceleration and a completely straight path.

Answer:

SI

Explanation:

If the Earth did not rotate, air would flow perpendicular to the isobars, i.e., straight across the isobars. This is because the direction of the wind is determined by the difference in pressure between two points.

On a non-rotating Earth, the pressure gradient would always be perpendicular to the isobars. Therefore, the wind would blow straight across the isobars from high pressure to low pressure.

However, the rotation of the Earth causes the Coriolis effect, which causes the direction of the wind to be deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere. This effect causes the wind to flow parallel to the isobars rather than straight across them. The stronger the pressure gradient, the greater the deflection caused by the Coriolis effect, resulting in faster wind speeds.

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A situation in which gravitational potential energy might be useful is in the production of hydroelectric power. On the other hand, there are situations in which gravitational potential energy can be dangerous. One example is in the context of landslides.

Gravitational potential energy refers to the energy stored in an object due to its position in a gravitational field. This energy can be harnessed or used in a variety of ways, and there are both beneficial and potentially harmful applications.

A situation in which gravitational potential energy might be useful is in the production of hydroelectric power. Hydroelectric power plants use dams to create a difference in height between two bodies of water, creating a gravitational potential energy difference. This energy can then be harnessed and converted into electrical energy that can be used to power homes and businesses. In this way, gravitational potential energy is an important source of renewable energy.

On the other hand, there are situations in which gravitational potential energy can be dangerous. One example is in the context of landslides. When a large amount of soil or rock is sitting on a slope, it has gravitational potential energy due to its elevated position. If something disrupts this equilibrium, such as heavy rain or an earthquake, the soil or rock can begin to move downhill, releasing its stored gravitational potential energy as kinetic energy. This can result in devastating landslides that can cause property damage and loss of life.

In summary, gravitational potential energy can be useful in situations where it can be harnessed for energy production, but it can also be dangerous when it is released in an uncontrolled manner, such as in the case of landslides.

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The common angular speed is 6.5 x 10^⁻⁴ rad/s

To calculate the common angular speed of the reels during play, we need to first determine the linear speed of the tape on the outer reel. We can use the formula:

Linear speed = tape length / play time

So the linear speed of the tape on the outer reel is:

Linear speed = 281 m / (2 h * 3600 s/h)

                       = 0.078 m/s

Then we can use the formula for linear speed to find the angular speed:

Linear speed = angular speed x radius

So the angular speed of the outer reel is:

Angular speed = Linear speed / radius

= 0.078 m/s / (45 mm / 1000 m/mm)

= 1.7 x 10^⁻⁴ rad/s

The inner reel radius is 12mm, so the angular speed of the inner reel is:

Angular speed = Linear speed / radius

= 0.078 m/s / (12 mm / 1000 m/mm)

= 6.5 x 10^⁻⁴ rad/s

This is the common angular speed of the reels when both have the same angular speed.

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Density is defined as the ratio of the mass per unit volume. Its unit is kg/m³. the mass of the helium in the blimp is 1.22 × 10⁻³ kg.

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

mass = density × volume

The given data in the problem as ;

v is the volume of gas=-6.28 × 109 ml =6.8452 × 10⁻³ cubic centimeter

ρ is the density = 0.1786 kg/cm³

m is the mass of helium gas =?

The mass and density relation is given as

mass = density × volume

m=ρv

m=0.1786 ×( 6.8452 × 10⁻³)

m=1.22 × 10⁻³ kg

Hence the mass of the helium in the blimp is 1.22 × 10⁻³ kg.

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Answer:

Explanation:

Electromagnetic waves differ from mechanical waves in that they do not require a medium to propagate. This means that electromagnetic waves can travel not only through air and solid materials, but also through the vacuum of space. ... This proved that radio waves were a form of light

Answer:

They travel through space

Explanation:

2021 edge

The required force that holds the spring compressed of spring constant is 400 n/m.

F = -kx. The term "spring constant" refers to the proportional constant k. It gauges the stiffness of the spring. A spring applies a power F = - kx toward its harmony position when it is extended or packed to a length that contrasts by a sum x from its balance length.

As per Hooke's Law, while a spring is extended, the power applied is relative to the protracting from the balance length. The accompanying recipe can be utilized to get the spring steady: The spring consistent, k, has the equation k = - F/x. F represents power, and x for change.

We have,

K = 400 n/m , x = 4m

So, F = -kx = -(400)(4) = -1600 N.

Negative sign means force is acting opposite direction of distance cover in spring.

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Answer:

If the height of the ramp is changed at a different height then the  speed of the car will change.

filling it up

Explanation:

Answer:

4

Explanation:

Not all plants can grow flowers. Only the ones thay have buds can.

Not all plants produce flowers. Hence, this is the characteristic which is not common in all plants.Therefore, the correct option is 4.

Flowers are the structures of plants. They are responsible for producing seeds that will grow into new plants. Flowers typically consist of a colorful or ornamental part called the corolla, which attracts pollinators such as bees and butterflies, and a reproductive part called the stamen and pistil, which contain the plant's male and female organs.

Not all green plants produce flowers. Flowering plants are a type of plant that belong to the group Angiosperms, but there are also non-flowering plants like ferns and mosses that do not produce flowers. Therefore, the correct option is 4.

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Both lunar and solar eclipses occur due to the alignment of the Sun, Moon, and Earth, but the specific conditions required for each type of eclipse are slightly different.

For a lunar eclipse to occur, three conditions are necessary:

Full Moon: A lunar eclipse can only occur during a Full Moon when the Moon is on the opposite side of the Earth from the Sun.

Alignment: The Earth, Moon, and Sun must be aligned in a straight line, with the Earth in the middle.

Angle: The Moon's orbit around the Earth is tilted at an angle of about 5 degrees to the Earth's orbit around the Sun. Therefore, for a lunar eclipse to occur, the Moon must pass through the Earth's shadow, which only happens when the alignment is just right.

For a solar eclipse to occur, three different conditions are necessary:

New Moon: A solar eclipse can only occur during a New Moon, when the Moon is between the Earth and the Sun.

Alignment: The Earth, Moon, and Sun must be aligned in a straight line, with the Moon in the middle.

Distance: The Moon's distance from the Earth can affect whether or not a solar eclipse occurs. The Moon's orbit around the Earth is elliptical, meaning that it is not always the same distance from Earth. If the Moon is too far away, it appears smaller in the sky and cannot completely block the Sun's disk, resulting in an annular solar eclipse. If the Moon is closer to the Earth, it appears larger and can fully block the Sun, resulting in a total solar eclipse.

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A ball weighing 10 kg rolls down a frictionless incline with a 50 degree angle to the horizontal. If the balls initial velocity was 0 m/s.

Hence, the correct option is D.

The mechanical energy of the system, which includes both kinetic and potential energy, is conserved in the absence of external forces like friction.

In this case, there is no friction, so the mechanical energy of the system does not change.

Hence, the correct option is D.

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The time constant of the circuit can be determined from the formula τ = RC. The values given in the question are R = 4.00 MΩ and C = 3.00 µF. Thus, the time constant is given as:τ = RC = (4.00 × 10^6 Ω) × (3.00 × 10^-6 F) = 12 secondsb. The current in the circuit can be found by using Ohm’s law, which states that I = V/R, where V is the voltage across the circuit.

The voltage across the circuit is 12.0 V, so the current is given as:I = V/R = (12.0 V)/(4.00 MΩ) = 3.00 µAThe charge on the capacitor as a function of time can be found using the formula Q = Qmax (1 - e^(-t/τ)), where Qmax is the maximum charge that can be stored by the capacitor. The maximum charge can be found using the formula Qmax = CV, where V is the voltage across the capacitor.

The voltage across the capacitor is the same as the voltage across the circuit, which is 12.0 V. Thus, the maximum charge that can be stored by the capacitor is:Qmax = CV = (3.00 × 10^-6 F) × (12.0 V) = 36 µCThe charge on the capacitor as a function of time is given as:Q = Qmax (1 - e^(-t/τ)) = (36 µC) (1 - e^(-t/12)).

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A radioactive isotope with a mass of 10 g has a 15 Bq activity. Consequently, it is possible to anticipate that 20g of the same isotope will have an activity of 30 Bq. Hence, the statement is true.

The becquerel (Bq), the SI unit of radioactivity, is named after Henri Becquerel. As defined by the unit of radioactivity:

A quantity of radioactive material that is active when one decay occurs every second.

One becquerel refers to ne radioactive decay per second which is numerically equal to 2.703 x 10⁻¹¹ Ci.

So, If  10g of a radioactive isotope has an activity of 15 Bq, 20g of the same isotope will have an activity of 30 Bq. The statement is true.

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It is to be noted that the correct expression for the gravitational force exerted on the astronaut by Earth on the basis described above is:

Fg=G MeMa/r²e

Gravity is a basic interaction in physics that produces mutual attraction between all entities that have mass or energy.

Gravity maintains the planets around the sun and the moon orbiting the Earth. The moon's gravitational pull attracts water, causing ocean tides. Gravity creates stars and planets by attracting the elements that go into their formation.

Gravity waves are 'ripples' in space-time caused by some of the most destructive and powerful occurrences in the Universe. In 1916, Albert Einstein predicted the existence of gravitational waves in his general theory of relativity.

The gravitational force has the lowest non-contact strength in nature. It adheres to the inverse square law. It is always positive. It is directly proportional to the product of the two bodies' masses.

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Space debris was formed by the collision of objects after the planets formed. The answer is A. The answer is A. The answer is C. The answer is B.  The answer is D.

The answer is B. Space debris was formed by the collision of objects after the planets formed. Models of the solar system account for the presence of space debris because space debris is made up of small rocks and other objects that are in orbit around the sun.

Some of this debris comes from asteroids and comets that are left over from the formation of the solar system, but most of it is thought to have been created when larger objects collided with one another. The answer is A.

Chemical composition is the most important physical property in determining the extent of a planet's evolution.

The answer is A. Earthquakes are among the effects of plate tectonics on Earth. Other effects include volcanic activity, the formation of mountain ranges, and the creation of new crust at the mid-ocean ridges.

The answer is C.

The Moon has almost no atmosphere compared with the Earth, which is why it is much colder. The atmosphere helps to trap heat near the surface of the Earth, while the Moon has no such mechanism.

The answer is B. The major constituents of the Earth's atmosphere are nitrogen (78%), oxygen (21%), and argon (1%).33. The answer is C. Transverse and compressional waves are transmitted by a liquid.34.

The answer is C. Continental drift is thought to be caused by circulation currents in the deep interior of the Earth, which cause slabs of the Earth's crust to move slowly.

The answer is D. We know that the Earth has differentiated because its crust density is lower than the mean density, and because of the presence of a magnetic field.

These observations suggest that the Earth has a metallic core that is responsible for the magnetic field, and that the core is more dense than the mantle and crust.

In conclusion Space debris was formed by the collision of objects after the planets formed, to 29 A. Chemical composition is the most important physical property in determining the extent of a planet's evolution, to 30 A. Earthquakes are among the effects of plate tectonics on Earth, to 31 C. The Moon has almost no atmosphere compared with the Earth, to 32 B. The major constituents of the Earth's atmosphere are nitrogen (78%), oxygen (21%), and argon (1%), to 33 C.

Transverse and compressional waves are transmitted by a liquid, to 34 C. Continental drift is thought to be caused by circulation currents in the deep interior of the Earth, and to 35 D.

We know that the Earth has differentiated because its crust density is lower than the mean density, and because of the presence of a magnetic field.

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A girl pulls her school box with force of 78N inclined at 27 degrees to the ground.  The part of the force moving the box along the ground will be 35.1 N

there will be two components of forces :

vertical as well as horizontal component

vertical component = F sin ( 27 )

horizontal component = F sin ( 27 ) = 78 sin ( 27 )

                                                          = 35.1 N  

The part of the force moving the box along the ground will be 35.1 N

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If the sprinter could convert all their kinetic energy into upward motion, they could potentially jump to a height of approximately 5.05 meters.

To determine the maximum height the sprinter could jump if they could convert all their kinetic energy into upward motion, we can use the principle of conservation of energy.

The kinetic energy of an object is given by the equation:

KE = 0.5 * m * v²,

where KE is the kinetic energy, m is the mass of the object, and v is the velocity.

Assuming the sprinter has a mass of 70 kg (this is just an example), we can calculate the initial kinetic energy:

KE = 0.5 * 70 kg * (10 m/s)²

KE = 0.5 * 70 kg * 100 m²/s²

KE = 3500 kg⋅m²/s².

This initial kinetic energy can be converted into gravitational potential energy when the sprinter jumps vertically. The potential energy is given by:

PE = m * g * h,

where PE is the potential energy, m is the mass, g is the acceleration due to gravity (approximately 9.8 m/s²), and h is the height.

To find the maximum height, we equate the initial kinetic energy to the potential energy:

KE = PE

3500 kg⋅m²/s² = 70 kg * 9.8 m/s² * h.

Simplifying the equation:

h = 3500 kg⋅m²/s² / (70 kg * 9.8 m/s²)

h ≈ 5.05 meters.

Therefore, if the sprinter could convert all their kinetic energy into upward motion, they could potentially jump to a height of approximately 5.05 meters.

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Answer:

The color blue emerges at 19.16° and the color red emerges at 19.32°.

Explanation:

The angle at which the two colors emerge can be calculated using the Snell's Law:

\(n_{1}sin(\theta_{1}) = n_{2}sin(\theta_{2})\)

Where:

n₁ is the refractive index of the incident medium (air) = 1.0003

n₂ is the refractive index of the refractive medium:

    blue light in crown glass = 1.524

    red light in crown glass = 1.512

θ₁ is the angle of the incident light = 30°

θ₂ is the angle of the refracted light                            

For the red wavelengths we have:

\( \theta_{2} = arcsin(\frac{n_{1}sin(\theta_{1})}{n_{2}}) = arcsin(\frac{1.0003*sin(30)}{1.512}) = 19.32 ^{\circ} \)

For the blue wavelengths we have:

\( \theta_{2} = arcsin(\frac{n_{1}sin(\theta_{1})}{n_{2}}) = arcsin(\frac{1.0003*sin(30)}{1.524}) = 19.16 ^{\circ} \)

Therefore, the color blue emerges at 19.16° and the color red emerges at 19.32°.  

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The voltage across the terminals of a 23,2 resistor that has 0.065 A of current flowing through it is C 1.5 V

The capacity of the resistor = 23.2

Current flow = 0.065A

Voltage is a gauge of how powerful a circuit's current is. It is what "pushes" the current to a gadget through the circuit. Voltage is specifically defined as the variation in electrical energy between two places in a circuit. Ohm's law, which says that voltage (V) is equal to current (I) multiplied by resistance (R), may be used to compute the voltage across a resistor:

V = I x R

Substituting the values in the formula -

V = 0.065 A x 23.2 Ω

= 1.512 V

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Answer: Computational science

Explanation:

When something is going through a credibility crisis, it means that the data and results that it gives out are not reliable.

This seems to be the case with computational science as some scientists argue that it is not providing them with reliable information. Some other scientists have offered solutions to this by stating that for computational science to work, it needs access to big data so that it can run relevant analysis on the data to produce reliable results.

Answer:

computational science

Explanation:

big brain please give brainlist

Answer:

f = 99.96 N

Explanation:

Weight of Mr. Tracy, W = 85 kg

The coefficient of sliding friction between his socks and the floor is 0.12.

We need to find the force of friction that opposes Mr. Tracy's motion down the hall.

The force of friction is given by :

\(f=\mu mg\\\\f=0.12\times 85\times 9.8\\\\f=99.96\ N\)

So, the required force of friction is 99.96 N.

Addition of vectors can be done using the Pythagorean theorem for perpendicular vectors and the Parallelogram law of vector addition for non-perpendicular vectors.

The head of the first vector must meet the tail of the second vector in order for the two vectors to be added together, according to the triangle law of vector addition. We may thus acquire the resulting sum vector by connecting the head of the second vector to the tail of the first vector.

Addition of vectors which are perpendicular is done using the Pythagorean theorem,

\(C^2 = A^2 + B^2\\C = \sqrt{A^2 + B^2}\)

Addition of vectors not perpendicular to each other is done using the Parallelogram law of vector addition:

\(R = \sqrt{A^2 + B^2 + 2AB cos\theta}\)

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According to the given statement Mrs. Brown's electricity bill for the current month is $5000.00.

To calculate Mrs. Brown's electricity bill for the current month, we need to determine the total number of kilowatt-hours (kWh) she has consumed and apply the corresponding rates.

1. Calculate the electricity usage:

  Current meter reading - Previous meter reading
  20,300 kWh - 17,800 kWh = 2,500 kWh

2. Determine the cost for the first 2000 kWh:

  $1.00/kWh * 2000 kWh = $2000.00

3. Determine the cost for the remaining kWh:

  500 kWh * $3.50/kWh = $1750.00

4. Add the fuel adjustment charge:

  $0.50/kWh * 2500 kWh = $1250.00

5. Calculate the total bill:

  $2000.00 + $1750.00 + $1250.00 = $5000.00


To calculate the electricity bill, we first find the difference between the current and previous meter readings.

In this case, Mrs. Brown used 2,500 kWh.

For the first 2000 kWh, the cost is $1.00 per kWh, resulting in a charge of $2000.00.

For the remaining 500 kWh, the cost is $3.50 per kWh, totaling $1750.00.

Additionally, a fuel adjustment charge of $0.50 per kWh is added to the bill. This amounts to $1250.00.

Finally, we add up all the charges to get the total bill, which is $5000.00.

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The two cars will meet at a distance of 50 km from city A, and the meeting will occur 2 hours after they start moving.

To determine when and where the two cars meet, we need to calculate the time it takes for them to meet and then use that time to find the meeting location.

In this case:

Distance between cities A and B = 180 km

Velocity of the car starting from city A = 25 km/hr

Velocity of the car starting from city B = 65 km/hr

Let's assume the meeting point is at a distance of x km from city A. Since the total distance between the two cities is 180 km, the distance traveled by the car starting from city A is x km, and the distance traveled by the car starting from city B is (180 - x) km.

Using the formula:

Time = Distance / Velocity

The time taken by the car starting from city A to reach the meeting point is:

Time for car from A = x km / 25 km/hr = x/25 hr

The time taken by the car starting from city B to reach the meeting point is:

Time for car from B = (180 - x) km / 65 km/hr = (180 - x)/65 hr

Since the two cars meet at the same time, we can set their time equations equal to each other:

x/25 = (180 - x)/65

Now, we can solve this equation to find the value of x:

65x = 25(180 - x)

65x = 4500 - 25x

90x = 4500

x = 50

Therefore, the meeting point is 50 km from city A.

To find the time it takes for the cars to meet, we can substitute this value of x back into either of the time equations:

Time = Distance / Velocity

Time = 50 km / 25 km/hr

Time = 2 hours

So, the two cars will meet after 2 hours.

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Answer:

Potential energy = 1.6 J

Work done = -1.6 J

Explanation:

Potential Energy in the spring at this extension?

The potential energy U in the spring is U = 1/2kx² where k = spring constant = F/x where F = force = 20 N and x = extension = 0.16 m. So k = 20 N/0.16 m = 125 N/m

U = 1/2kx²

= 1/2 × 125 N/m × (0.16 m)²

= 1.6 J

What is the work done to extend the spring. 16 meters

Work done W = U₁ - U₂ where U₁ = initial potential energy = 0 and U₂ = final potential energy = 1.6 J

W = 0 - 1.6 J

   = -1.6 J

Answer:

A physical property of matter is electric charge. It is caused by an imbalance in the number of protons and electrons in a material. Whether there are more protons than electrons in a substance, it is positively charged if there are more electrons than protons, it is negatively charged.

Explanation: