A rider is training a horse. Horse moves 60 metres towards right in 3 seconds. Then it turns back and travels 30 metres in 2 seconds. Find its average velocity and show your working?
A. 6 m/s
B. 18 m/s
C. 35 m/s
D. Zero​

Answer:

51 miles/hour

Explanation:

Talia is on a road trip with some friends. in the first 2 hours, they travel 100 miles. then they hit traffic and go only 30 miles in the next hour. the last hour of their trip, they drive 75 miles. calculate the average speed of talia’s car during the trip. give your answer to the nearest whole number.

The average speed would be 51 miles/hour.

The average speed of a moving object is defined as the total distance traveled relative to the total time taken fro the journey. Mathematically, it is given as:

  total distance traveled/total time taken.

In this case;

Total distance traveled = 100 + 30 + 75 = 205 miles

Total time taken = 2 + 1 + 1 = 4 hours

Therefore;

Average speed = 205/4 = 51.25 miles/hour

To the nearest whole number = 51 miles/hour

Answer:

hi your question is incomplete below is the missing part of your question

Question : How does the direction and magnitude of Fe compare to Fg

answer : Not enough information is given

Explanation:

From the above information given in the question the direction and magnitude of FE cannot be compared to Fg and this is simply because the mass of the particle that  force is been exerted on is not given therefore we cannot ascertain the magnitude of the gravitational force. Therefore we can conclude that not enough information is given

The increase in length of the copper with original length of 120 m is  8.16×10⁻² m.

A change in length ΔL is produced when a force is applied to a wire or rod parallel to its length L0, either stretching it (a tension) or compressing it.

To calculate the increase in length of the copper, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

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The type of circuit shown in the diagram is a closed series circuit. The Option C.

The circuit diagram illustrates a closed series circuit, where the components are connected in a series, forming a single loop. In a closed series circuit, the current flows through each component in sequence, meaning that the current passing through one component is the same as the current passing through the other components.

The flow of current is uninterrupted since the circuit forms a complete loop with no breaks or open paths. Therefore, the correct answer is a closed series circuit.

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For an object to be in equilibrium, the sum of all the forces acting on it must be zero (sum of forces = zero) and the sum of all the torques applied to it must also be zero (sum of torques is zero). Additionally, the object must not be spinning and its speed must be zero (speed is zero).

Equilibrium is a state in which opposing forces or influences are balanced. It can refer to a physical, chemical, or biological system in which there is no net change in the position or direction of motion of its components. In economics, it is a situation in which all participants in the market have no incentive to change their behavior. Equilibrium is a necessary condition for markets to function efficiently. It is a key concept in many areas of economics, including microeconomics, macroeconomics, and international economics.

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Follow my lead or ur answer is very wrong

Answer:This one show the earths positoning

Explanation:

Answer:

This is the correct answer

Explanation:

It is attached below

Answer:

1.

2sound,solar energy

3.heat energy

In the 1st reaction, ⁴²K undergoes beta decay. Therefore the resulting element will have 1 more proton than ⁴²K.

Therefore, the mass number of the new particle is 42.

The atomic number of potassium is 19.

Therefore the atomic number of the new element will be 19+1=20.

Therefore the new element is Calcium.

Therefore the reaction is,

The work required to bring a +5.0 µC point charge from infinity to a point 2.0 m away from a +25 µC charge is 6.38 × 10^-5 joules.

To calculate the work, we can use the equation: Work = q1 * q2 / (4πε₀ * r), where q1 and q2 are the charges, ε₀ is the permittivity of free space, and r is the distance between the charges. Plugging in the given values, we get Work = (5.0 µC * 25 µC) / (4πε₀ * 2.0 m). Evaluating the expression, we find the work to be 6.38 × 10^-5 joules.Therefore, the work required to bring the +5.0 µC point charge from infinity to a point 2.0 m away from the +25 µC charge is 6.38 × 10^-5 joules.

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Answer:

The transmission of light across a boundary between two media is accompanied by a change in both the speed and wavelength of the wave. ... As long as the light wave changes speed and approaches the boundary at an angle, refraction is observedFor a plane mirror, the image will be the same size as the object and will be the same distance behind the mirror as the object is in front of the mirror. Since the light forming the image does not pass through the image, it is called a virtual imageWhen light travels from air into water, it slows down, causing it to change direction slightly. This change of direction is called refraction. When light enters a more dense substance (higher refractive index), it 'bends' more towards the normal line.We do a thought experiment. We light with a flashlight against an air bubble in water. In the figure below, draw the continued path of the rays through the air bubble and out into the water. Justify why you drew as you did but you do not need to do any calculations.

Freefall is the state of a body that moves freely in any direction in the presence of gravity. The window is 15.01 meters above the ground.

According to free fall,

vf = g * t

here Vf = 17.2 m/s

g = 9.8 m/s^2

then t = vf/ g = 17.2/9.8 =1.75 sec

According to free fall Equation,

Distance d = 1/2 g * t^2

d= 1/2 *9.8 * 1.75^2= 15.01 m

Window is located 15.01 m height from the Ground.

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Skyler velocity after throwing the snowball  is 9.34 m/s in forward direction.

A body's velocity is the rate at which its displacement alters with respect to time. A vector quantity with both magnitude and direction is velocity. The meter/second unit of measurement for velocity.

Given that Skyler whose mass is 74.5 kg is moving across at 9.52 m/s while holding a 2.05 kg carefully packed snowball.

forward speed of the snowball = 15.9 m/s.

Let the Skyler velocity after throwing the snowball = v.

According to principle of conservation of momentum;

Total initial momentum = total final momentum

⇒ (74.5 + 2.05)9.52 = 74.5×v + 15.9×2.05

⇒ 74.5×v  = (74.5 + 2.05)9.52  - 15.9×2.05

⇒ v = 9.34 m/s.

Hence, velocity of the Skyler  is 9.34 m/s. in forward direction.

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The Sun is a main-sequence star which is also known as G2V.

It can also known as yellow dwarf because of its yellow colour. It was formed about 4.6 billion years ago from the gravitational collapse of matter of a large molecular cloud.

So we can conclude that the Sun is a main-sequence star which is also known as G2V.

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Answer:

Explanation:

Field characteristics

The strength of the field at the Earth's surface ranges from less than 30 microteslas (0.3 gauss) in an area including most of South America and South Africa to over 60 microteslas (0.6 gauss) around the magnetic poles in northern Canada and south of Australia, and in part of Siberia.

The torque of force A about point O can be calculated using the cross product of the position vector from O to the point of application of force A and the force vector A.

Torque is a measure of the rotational force acting on an object. It depends on the magnitude of the force and the distance from the point of rotation. In this case, to calculate the torque of force A about point O, we need to find the cross product of the position vector from O to the point where force A is applied and the force vector A. The cross product gives a vector that is perpendicular to both the position vector and the force vector, representing the rotational effect. The magnitude of this vector represents the torque, and its direction follows the right-hand rule.

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The change in the momentum of the bus is 10600 kg-m/s, if bus of 1600 kg crashes with a SUV of 600 kg.

The mass of the bus, m₁ = 1600 kg

The mass of the SUV, m₂ = 600 kg

Initial velocity of the bus, v₁ = 10 m/s

initial velocity of the SUV, v₂ = 0 (at rest)

Velocity of the bus after collision, v₃ = 3 m/s

Velocity of the SUV after collision, v₄ = 1 m/s

The change in momentum(Δp) is given by,

Δp = (m₁v₁ + m₂v₂) - (m₁v₃ + m₂v₄)

Δp = (1600 × 10 + 600 × 0) - (1600 × 3 + 600 × 1)

Δp = 16000 - 5400

Δp = 10600 kg-m/s

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The speed of the cars after the collision is approximately 19.47 m/s.

To determine the speed of the cars after the collision, we need to apply the principle of conservation of momentum.

The momentum of an object is given by the product of its mass and velocity: momentum = mass × velocity.

Given:

Mass of the first car (m₁) = 1500 kg

Velocity of the first car (v₁) = 90 km/h toward the east

Mass of the second car (m₂) = 3000 kg

Velocity of the second car (v₂) = 60 km/h toward the south

To use the principle of conservation of momentum, we need to convert the velocities to a common unit. Let's convert them to m/s.

Converting velocities:

v₁ = 90 km/h = (90 × 1000) / 3600 = 25 m/s (eastward)

v2 = 60 km/h = (60 × 1000) / 3600 = 16.7 m/s (southward)

The total momentum before the collision is equal to the total momentum after the collision, as momentum is conserved.

Total momentum before collision = Total momentum after collision

(m₁ × v₁) + (m₂ × v₂) = Total mass × Final velocity

(1500 kg × 25 m/s) + (3000 kg × 16.7 m/s) = (1500 kg + 3000 kg) × Final velocity

Simplifying the equation:

37500 kg·m/s + 50100 kg·m/s = 4500 kg × Final velocity

87600 kg·m/s = 4500 kg × Final velocity

Dividing both sides by 4500 kg:

Final velocity = 87600 kg·m/s / 4500 kg

Final velocity ≈ 19.47 m/s

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Eudora spent 0.5 hours from home to library and 1.5 hours from library to school.

Given that,

Average speed from home to library S₁ = 12 km/h

Average speed from library to school S₂ = 76 km/h

Total distance = 120 km

Time = 2 hrs

Let the time spent from home to library  be x. So, from library to school will be = 2 - x

S₁ = 12 km/h

Time spent from home to library T₁ = x

S₂ = 76 km/h

Time spent from library to school T₂ = 2 - x

Distance can be calculated as, D₁ = S₁ T₁ = 12 x

D₂ = S₂ T₂ = 76(2 - x) = 152 - 76 x

As, D₁ + D₂ = 120

12 x + 152 - 76 x = 120

-64 x = -32

x = 0.5

So, T₁ = 0.5 hrs

T₂ = 2 - 0.5 = 1.5 hrs

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The magnification of the mirror is 0.51. This means that the image of the truck is smaller than the actual truck, and appears closer to the mirror than it actually is.

(a) To find the image distance of the truck, we can use the mirror formula:

1/f = 1/do + 1/di

where f is the focal length, do is the object distance, and di is the image distance.

Plugging in the values we have:

1/-5.3 = 1/6 + 1/di

Simplifying and solving for di, we get:

di = -3.08 m

Note that the negative sign indicates that the image is virtual, meaning that it appears behind the mirror and is not a real object that can be projected onto a screen.

Therefore, the image distance of the truck is -3.08 m.

(b) To find the magnification of the mirror, we can use the formula:

m = -di/do

where m is the magnification, di is the image distance, and do is the object distance.

Plugging in the values we have:

m = -(-3.08)/6

Simplifying, we get:

m = 0.51

Therefore, the magnification of the mirror is 0.51. This means that the image of the truck is smaller than the actual truck, and appears closer to the mirror than it actually is.

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A sound is moving through the atmosphere at a velocity of 343 ms-1. The sound wave has a wavelength of 0.1 cm.

Longitudinal waves are what make up sound. Compressions and rarefactions are also present in longitudinal waves when they pass through any given medium. When particles travel in close proximity to one another, compression occurs, creating areas of intense pressure.

As with all waves, the relationship between the speed of sound (vw), its frequency (f), and its wavelength () is provided by vw=f. vw=(331m/s)T273K describes how the sound's velocity in the air relates to air temperature T. For any and all frequencies and wavelengths, vw is constant.

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Answer: the crate is lifted a distance of 0.245 m.

Explanation: We can use the principle of work to solve this problem, which states that the work done on an object is equal to the force applied times the distance moved in the direction of the force.

First, we need to calculate the work done by the student on the crate:

Work = force x distance

Work = 250 N x 1.6 m

Work = 400 J

Next, we need to calculate the work done on the lever system, taking into account its efficiency:

Efficiency = (work output / work input) x 100%

0.90 = (work output / 400 J) x 100%

Solving for work output:

work output = 0.90 x 400 J

work output = 360 J

Finally, we can use the work output to find the distance the crate is lifted:

Work = force x distance

distance = work / force

distance = 360 J / (150 kg x 9.81 m/s^2)

distance = 0.245 m

The hypothesis that would be supported by the outcome of Gianna's experiment is "If I remove the roots from a plant, it will die because it will have no way to absorb water and nutrients."

This is because the roots of a plant are essential for the absorption of water and nutrients from the soil. Without the roots, the plant will not be able to receive the necessary nutrients and water it needs to survive, leading to its eventual death.

Therefore, the hypothesis that states that the removal of the roots will result in the death of the plant is the one that would be supported by the outcome of Gianna's experiment.

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The types of light in order of increasing energy (lowest to highest) are: radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.

The energy of an electromagnetic wave is directly proportional to its frequency, as stated by the Planck-Einstein relation. Radio waves have the lowest frequency and therefore the lowest energy, followed by microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays, which have the highest frequency and energy.

Visible light, the only part of the electromagnetic spectrum visible to the human eye, has a range of energies, with violet light having higher energy than red light. X-rays and gamma rays have very high energies and can be dangerous to living organisms, while radio waves and microwaves are generally considered safe.

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Leena and Leia, being identical twins, have nearly identical genetic makeup.

Identical twins, also known as monozygotic twins, develop from a single fertilized egg that splits into two embryos. As a result, Leena and Leia share the same genetic material, making them genetically identical.

In terms of their DNA, Leena and Leia have the same set of genes in their chromosomes. Genes are segments of DNA that carry the instructions for building proteins and determining various traits and characteristics. Since they share the same genetic material, they will have the same genes located at the same positions on their chromosomes.

Although Leena and Leia have the same genetic makeup, it's important to note that environmental factors and experiences can influence gene expression and contribute to phenotypic differences between them. Phenotype refers to the observable characteristics of an individual, such as physical appearance, behavior, and other traits. Factors such as nutrition, lifestyle, and environmental exposures can result in variations in gene expression and contribute to differences in phenotype despite the identical genetic makeup of Leena and Leia.

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The stars of the milky way are all near a great circle on the celestial sphere. This great circle is called milky circle.

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The stars of the milky way are all near a great circle on the celestial sphere. This great circle is called milky circle.

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Answer:

True

Explanation:

The statement "elastic energy is a type of kinetic energy" is absolutely false.

Kinetic energy may be defined as a type of energy that is typically possessed by an object due to its motion. It is characterized as the work which is required in order to accelerate a body of a given mass from rest to its initiate velocity.

Elastic energy is a type of mechanical potential energy that is kept in reserve in the arrangement of a material or physical system as it is conquered by elastic deformations.

Elastic energy is a type of energy that is occurred when any objects are temporarily compressed, stretched, or typically disfigure in any manner.

Therefore, the statement "elastic energy is a type of kinetic energy" is absolutely false.

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Answer:

1)  A = 0.25 m², 2) V = 0.5 m³, 3)   m = 1500 kg, 4) W = 14700 N,

5)  P = 58800 Pa

Explanation:

1) The area of ​​the base is square

          A = L²

         A = 0.5²

         A = 0.25 m²

2) The block is a parallelepiped

         V = A h

         V = 0.25 2

          V = 0.5 m³

3) Density is defined

           rho = m / V

           m = rho V

           m = 3000 0.5

           m = 1500 kg

4) The weight of a body is

           W = mg

            W = 1500 9.8

            W = 14700 N

5) The pressure is

             P = F / A

in this case the force is equal to the weight of the body

              P = 14700 / 0.25

              P = 58800 Pa

(1) The area of the base of the block is 0.25 m².

(2) The volume of the block is 0.5 m³.

(3) The mass of the block is 1500 kg.

(4) The weight of the block is 14,700 N.

(5) The pressure exerted by the block is 58,800 N/m²

The given parameters;

The area of the base of the block is calculated as follows;

\(A = 0.5 \ m \ \times 0.5 \ m\\\\A = 0.25 \ m^2\)

The volume of the block is calculated as follows;

\(V = Ah\\\\V = 0.25 \times 2\\\\V = 0.5 \ m^3\)

The mass of the block is calculated as follows;

\(\rho = \frac{m}{V} \\\\m = \rho V\\\\m = 3000 \times 0.5\\\\m = 1500 \ kg\)

The weight of the block is calculated as follows;

\(W = mg\\\\W = 1500 \times 9.8\\\\W = 14,700 \ N\)

The pressure exerted by the block is calculated as follows;

\(P = \frac{F}{A} \\\\P = \frac{14,700}{0.25} \\\\P = 58,800 \ N/m^2\)

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Answer:

Acceleration, a = -0.5 m/s²

Explanation:

Given the following data;

Initial velocity = 72 km/h

Final velocity = 18 km/h

Time = 10 seconds

To find the acceleration of the car;

Conversion:

72 km/h to m/s = 72*1000/3600 = 20m/s

18 km/h to m/s = 18*1000/3600 = 5 m/s

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

\(Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}\)

Substituting into the equation;

\(a = \frac{5 - 20}{10}\)

\(a = \frac{-5}{10}\)

Acceleration, a = -0.5 m/s²

Therefore, the car is decelerating.

Let's calculate the values based on the given information:

The area of the wooden block can be calculated by multiplying the length and width of one of its faces:

Area = Length * Width

Area = 40 cm * 20 cm

Area = 800 cm²

To convert to square inches, we can use the conversion factor 1 inch = 2.54 cm:

Area in square inches = Area in square centimeters / (2.54 cm/inch)²

Area in square inches = 800 cm² / (2.54 cm/inch)²

Area in square inches ≈ 124.03 in²

The volume of the wooden block can be calculated by multiplying its length, width, and height:

Volume = Length * Width * Height

Volume = 40 cm * 20 cm * 10 cm

Volume = 8000 cm³

To convert to cubic inches, we can use the conversion factor 1 inch = 2.54 cm:

Volume in cubic inches = Volume in cubic centimeters / (2.54 cm/inch)³

Volume in cubic inches = 8000 cm³ / (2.54 cm/inch)³

Volume in cubic inches ≈ 488.19 in³

The density of the wooden block can be calculated by dividing its mass by its volume:

Density = Mass / Volume

Density = 5 kg / 8000 cm³

To convert to grams per cubic centimeter (g/cm³), we can use the conversion factor 1 kg = 1000 g:

Density in g/cm³ = Density in kg/cm³ * 1000 g/kg

Density in g/cm³ = (5 kg / 8000 cm³) * 1000 g/kg

Density in g/cm³ ≈ 0.625 g/cm³

To convert to pounds per cubic inch (lb/in³), we can use the conversion factor 1 kg = 2.20462 lb and 1 inch = 2.54 cm:

Density in lb/in³ = Density in kg/cm³ * (2.20462 lb/kg) / (2.54 cm/inch)³

Density in lb/in³ = (5 kg / 8000 cm³) * (2.20462 lb/kg) / (2.54 cm/inch)³

Density in lb/in³ ≈ 0.036 lb/in³

Pressure is defined as force divided by area. In this case, we need more information to calculate the pressure. If the block is subjected to a specific force, we can divide that force by the appropriate surface area to find the pressure.

The pressure on the top surface of the wooden block depends on the force applied to it. Without information about the applied force, we cannot calculate the pressure.

Similarly, the pressure on the bottom surface of the wooden block depends on the force applied to it. Without information about the applied force, we cannot calculate the pressure.

The force on the top surface of the wooden block depends on the pressure applied and the surface area. Without information about the pressure or force applied, we cannot calculate the force.

The force on the bottom surface of the wooden block depends on the pressure applied and the surface area. Without information about the pressure or force applied, we cannot calculate the force.

Without the values for forces on the top and bottom surfaces, we cannot determine the difference between them.

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1. The area of the wooden block can be calculated using the formula for the surface area of a rectangular prism: SA = 2(lw + lh + wh), where l, w, and h are the length, width, and height of the block, respectively. Using the given dimensions, we can find the surface area in cm²:

SA = 2(40 × 20 + 40 × 10 + 20 × 10)

SA = 2(800 + 400 + 200)

SA = 2(1400)

SA = 2800 cm²

To convert cm² to in², we can use the conversion factor 1 in² = 6.45 cm². So, the area in in² is:

2800 ÷ 6.45 = 434.96 in² (rounded to two decimal places)

2. The volume of the wooden block can be calculated using the formula for the volume of a rectangular prism: V = lwh. Using the given dimensions, we can find the volume in cm³:

V = 40 × 20 × 10

V = 8000 cm³

To convert cm³ to in³, we can use the conversion factor 1 in³ = 16.39 cm³. So, the volume in in³ is:

8000 ÷ 16.39 = 487.61 in³ (rounded to two decimal places)

3. The density of the wooden block can be calculated using the formula: density = mass/volume. The mass of the block is given as 5 kg. To convert this to grams, we can use the conversion factor 1 kg = 1000 g. So, the mass in grams is:

5 kg × 1000 g/kg = 5000 g

Using the volume calculated in part 2, we can find the density in g/cm³:

density = 5000 g/8000 cm³

density = 0.625 g/cm³

To convert g/cm³ to lb/in³, we can use the conversion factor 1 g/cm³ = 0.0361 lb/in³. So, the density in lb/in³ is:

0.625 g/cm³ × 0.0361 lb/in³/g/cm³ = 0.0226 lb/in³

4. The pressure on the wooden block is given by the formula: pressure = force/area. To find the pressure, we need to know the force acting on the block. Since the block is simply resting on the tabletop, the force acting on it is due to its weight. Using the formula for weight: w = mg, where w is weight, m is mass, and g is the acceleration due to gravity (9.8 m/s²).

To find the weight in newtons (N), we can use the conversion factor 1 kg = 9.8 N. So, the weight of the block is:

5 kg × 9.8 N/kg = 49 N

Using the area of the block's base (40 cm × 20 cm = 800 cm²), we can find the pressure in N/cm²:

pressure = 49 N/800 cm²

pressure = 0.06125 N/cm²

To convert N/cm² to psi, we can use the conversion factor 1 psi = 6894.76 N/m². So, the pressure in psi is:

0.06125 N/cm² × (1 m²/10,000 cm²) × (1 psi/6894.76 N/m²) = 0.0089 psi (rounded to four decimal places)

5. The pressure on the top surface of the wooden block is the same as the pressure calculated in part 4: 0.06125 N/cm² or 0.0089 psi.

6. To find the pressure on the bottom surface of the block, we can use the formula: pressure = force/area. Since the bottom surface has the same area as the top surface, the pressure will also be the same: 0.06125 N/cm² or 0.0089 psi.

7. The force acting on the top surface of the wooden block is simply its weight, which we calculated to be 49 N in part 4.

8. The force acting on the bottom surface of the wooden block is also its weight, which we calculated to be 49 N in part 4.

9. The force on the bottom surface is equal in magnitude to the force on the top surface.

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