a horse runs counterclockwise (anticlockwise) around the circular track of radius 400 m at a constant speed, starting at the marked point. it completes one lap in three minutes. what is its y coordinate after one minute?

The energy of the car at the point that have been marked C is 290 J option D

Roller coasters must adhere to the crucial notion of energy conservation. Roller coasters are built to effectively transform potential energy into kinetic energy and vice versa while making sure that the system's overall energy level stays consistent.

The car has the most potential energy and the least kinetic energy at the top of a roller coaster, which is typically at the top of a hill. The pull of gravity causes potential energy to progressively transform into kinetic energy as the car descends. The car's potential energy diminishes as its speed rises.

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The ratio of a substance's weight, especially a mineral, to an equal volume of water at 4°C is called it's specific gravity or relative density.

Specific gravity is the ratio of the density of a substance to the density of a reference substance, usually water. In simple terms, specific gravity is the density of a substance compared to the density of water. It's a dimensionless amount since it's a ratio. It is frequently used in geology to compare the densities of minerals to those of water.

Specific gravity is calculated by dividing the density of a substance by the density of water. The specific gravity formula is given by:

Specific gravity = (density of substance)

(density of water)The specific gravity of a substance can be calculated by comparing its weight to the weight of an equal volume of water at a particular temperature, such as 4°C.

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Answer:

Explanation:

3.011 x 10^24 atoms

Answer:

jskskskssksksksskssksksksksks

Sediment grain size can change significantly from the headwaters to the mouth of a river system. This is due to a number of factors, including changes in water velocity and the amount and type of sediment available in different parts of the river.

In the headwaters of a river system, the water velocity is typically high because the river is still in its upper reaches and the gradient is steep. As a result, the water is able to transport and erode larger sediment particles.

The sediment in the headwaters is typically coarse, with a high proportion of sand, gravel, and boulders.

As the river moves downstream, the gradient decreases and the water velocity slows down.

This means that the water is no longer able to transport or erode the larger sediment particles, which begin to drop out of the water column and settle on the river bed.

Instead, the water is only able to transport and erode smaller sediment particles, such as silt and clay. As a result, the sediment in the middle and lower reaches of the river tends to be finer-grained, with a high proportion of silt and clay.

However, as the river approaches the mouth, the water velocity can increase again due to tidal fluctuations or the influence of ocean currents.

This increase in water velocity can cause the finer sediment particles to be re-suspended and transported downstream, leading to a mix of both fine and coarse sediment near the mouth of the river.

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Answer:

0.451

Explanation:

Answer:

Infiltration

Explanation:

If air movement between inside and outside is accidental, we call it infiltration. Approximately two-thirds of U.S. houses, including low-rise condos and townhouses, use forced-air systems to move heating and cooling energy from a central furnace, air conditioner, or heat pump around the house using a duct system.

The forced airflow that takes place by design between the inside and outside a building is known as ventilation.

A building will always experience "air infiltration" in addition to planned ventilation. This is the unplanned or accidental entry of air to it in to a space from openings and fissures in the built environment.

Exfiltration is the phrase used to describe the equivalent loss from air from a confined space. The porosity of the proposed building and the strength of the wind and temperature's natural driving forces both affect how much air penetration occurs.

When the pressures operating across one of these openings are driven by poor weather rather than purposefully created driving forces, vents and other ventilation design-related holes can also become paths for unintended air movement.

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The statement that explains how ocean-currents affect global climates is: "Water absorbs a lot of thermal energy and releases it over time and distance."

The ocean-currents can be say as the continuous movement of sea water bodies in the ocean. Ocean currents are like large rivers of water flowing through the oceans.

The movement of ocean-currents has a major impact on global climate because water is a good conductor and storage of heat.

When we check the factors which affects the ocean currents to happen we have to talk about Coriolis-Effect. Coriolis Effect refers to an internal force (Coriolis) that causes the deflection of an object in motion.

Wind, water density and topography are the other major factors which directly influence the ocean currents.

Strong winds can move the water surface causing the ocean currents. About water density, more dense water will sink and that sinking water pushes the water below it up. About topography, ridge in the ocean bottom moves the water upward, while valley in the ocean moves it downward.

When ocean currents flow, they absorb large amounts of thermal energy. This energy is then transported over time and distance, affecting the temperature and climate of the regions through which the currents flow.

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Answer:

8.79 J

Explanation:

Given that a slinky is traveling down the stairs, like in the video clip below. What is the total KINETIC ENERGY of the slinky at the bottom of the stairs (just before it stops moving) IF the Height of the stairs is 2 meters, the weight of the slinky is 4.41 Newtons, its spring constant is 0.84 N/m, and the distance the slinky is initially stretched (to get it going) is 0.25 meters??

Total energy = mgh

Total energy = 4.41 × 2 = 8.82 J

Elastic potential energy = 1/2 × Ke^2

Elastic potential energy = 1/2 × 0.84 × 0.25^2

Elastic potential energy = 0.02625

Also,

Total energy = P.E + K.E

Substitute them into the formula above

8.82 = 0.02625 + K.E

K.E = 8.82 - 0.02625

K.E = 8.79375

K.E = 8.79 J

Therefore, the KINETIC ENERGY of the slinky at the bottom of the stairs is 8.79 Joules approximately

Answer:

Explanation:

Permanent magnets do have potential energy, stored in their magnetic field. That energy can be compared to the potential energy of some compressed spring. See the picture below, representing the magnetic field lines of a magnetized sphere : These lines are compressed inside the magnet.

The efficiency of a 10 hp DC motor that draws 31 A at 300 volts is equal to 80 %.

The efficiency of a motor can be calculated from the ratio of the mechanical power output to the electric power input to the motor.

Given the horsepower of the DC motor = 10 hp

Conver the hp into watt:

1hp = 745.7 W

Output power = 10 hp = 10× 745.7 = 7457 W

Input power = 31 × 300 = 9300 W

The efficiency of the motor = Output/Input ×100

Efficiency = (7457/9300) ×100 = 80 %

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Answer:

Velocity= 12t + 12t^2

Acceleration= 12 + 24t^2

When the velocity is 10m/s, the acceleration is 20.

Answer:

\(\tau=5.81\times 10^5p\ N-m\)

Explanation:

We have,

Electric field, \(E=6.19\times 10^5\ N/C\)

The electric dipole vector at an angle of 69.9 degrees from the direction of the field.

The torque acting on a molecule is given by :

\(\tau=p\times E\\\\\tau=pE\sin\theta\)

p is electric dipole moment

\(\tau=p\times 6.19\times 10^{5}\times \sin (69.9)\\\\\tau=5.81\times 10^5p\ N-m\)

So, the magnitude of the torque acting on the molecule is \(5.81\times 10^5p\ N-m\).

Answer:

3.5 hours

Explanation:

In order to keep the temperature in the kitchen constant, 196 W of electric power must be supplied to the heating element, which is treated as a flat slab with an area of 1.40 m2.

Given to us,

Area of the flat slab, A = 1.40 m²,

The thickness of the fiberglass, d = 4 cm = 0.04 m,

Inside surface of the fiberglass \(T_{h}\),  = 175°C = 175°C + 273.15 = 448.15 K,

Outside surface of the fiberglass\(T_{i}\),  = 35°C = 35°C + 273.15 = 308.15 K,

Thermal conductivity of fiberglass, K = 0.040 W/(mK),

a.)

Conduction is the process by which heat energy is been transferred due to the collisions between atoms and molecules in solids. The heat transfer in conduction is written as,

Q/t = KA(\(T_{h}\) - \(T_{i}\))/ d

Q/t  = 0.040 × 1.40(448 .15 - 308 .15)/0.04

Q/t = 196 W

Therefore, the heat current through the insulation, treating it as a flat slab with an area of 1.40 m² is 196 W.

b.)

As the electric-power input to the heating element required to maintain the temperature in the kitchen is 196 W, because as the fiberglass is constantly losing heat, therefore to maintain the temperature we need to continuously provide that amount of heat to the kitchen for which the same amount of work will be required.

Thus, the electric-power input to the heating element required to maintain the temperature in the kitchen is 196 W.

Hence, the heat current through the insulation, treating it as a flat slab with an area of 1.40 m² is 196 W and the electric power input to the heating element required to maintain the temperature in the kitchen is also 196 W.

The  complete question is : An electric kitchen range has a total wall area of 1.40 m2 and is insulated with a layer of fiberglass 4.0 cm thick. The inside surface of the fiberglass has a temperature of 175 ∘C and its outside surface is at 35 ∘C. The fiberglass has a thermal conductivity of 0.040 W/(m⋅K).What is the heat current through the insulation, assuming it may be treated as a flat slab with an area of 1.40 m2?What electric-power input to the heating element is required to maintain this temperature?

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The statement 'a distant star gives off a visible range of light whose color depends on its temperature' is supported by the wave model​.

The wavelength can be defined as the periodic distance of a given wave that repeats in a constant way.

The emissivity of particles is a function of both wavelength and temperature of a given material/object. Visible wavelengths range from 700 nm to 400 nm (violet color).

Star temperature largely determines its color, blue stars are warmer than yellow and red stars, and red stars are cooler than yellow stars.

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As Kyle caught the ball, it was moving horizontally at a speed of roughly 0.116 m/s.

Momentum, which is the outcome of an object's mass and velocity, is used to represent mass in motion. An impulse is a force that is used to alter an object's velocity. The impulse, J, and the change in momentum of an object, p=m(vfvi), are equivalent.

mgh = (90.0 kg)(9.81 m/s²)(0.589 m) = 520.6 J

Therefore, Kyle's velocity just as he catches the ball is:

√{1}{2}mv² = 520.6 J implies v = √{2(520.6 J)}{90.0 kg} approx 10.4 m/s

Now, we can use Kyle's velocity and the horizontal distance he traveled to find the time he was in the air. The time is given by:

Delta x = vt implies t = {Delta x}{v} = {0.0396 m}{10.4 m/s} approx 0.0038 s

h = {1}{2}gt² implies t = √{2h}{g} = √{2(0.589 m)}{9.81 m/s²} approx 0.341 s

During this time, the ball traveled a horizontal distance of:

Delta x = vt = (v_{x,ball})(t) implies v_{x,ball} = {Delta x}{t} = {0.0396 m}{0.341 s} approx 0.116 m/s

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The eye changing light waves into impulse and the ear changing sound waves into impulses are examples of transduction.

Transduction is the method of translation of arriving signal into a command transfer to the brain by a sensory receptor. It starts when stimulus changes the membrane potential of a receptor cell, which converts the signal energy in a stimulus and then into an electrical signal. Receptors are categorized into two main categories: exteroceptors, and interoceptors. Exteroceptors receive external sensory stimuli, and interoceptors receive internal sensory stimuli.

in visual system, cone and rods are the sensory cells that convert the physical light energy signal into electrical signal. In auditory system, hair cells transduced the sound vibrations into electrical signal and transfer them to the brain.

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Answer:

neutron.

Explanation:

subatomic particles include,

neutron.

proton.

electron.

hope it helps. :)

To calculate the mass of an object being orbited by a star at 2200 km/s with a radius of 65 light-days, we need to use the formula for gravitational force: F = (G * m1 * m2) / \(r^{2}\)

Where F is the gravitational force, G is the gravitational constant, m1 is the mass of the object being orbited, m2 is the mass of the star, and r is the distance between the object and the star. Since the object is in orbit, we know that the gravitational force is equal to the centripetal force: F = m1 * \(v^{2}\) / r. Where m1 is the mass of the object, v is the velocity of the object, and r is the radius of the orbit. Setting these two formulas equal to each other, we get: m1 * \(v^{2}\) / r = (G * m1 * m2) /\(r^{2}\). Simplifying and solving for m1, we get: m1 = (\(v^{2}\) * r) / G * m2. Plugging in the given values, we get: m1 = (\(2200^{2}\) * 65 * 24 * 60 * 60 * 299792458) / (6.6743 * \(10^{-11}\) * m2), m1 = 4.17 * \(10^{31}\) kg. Therefore, the mass of the object being orbited by the star is 4.17 x \(10^{-31}\) kg.

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Answer:

option C

Explanation:

Final velocity of the object is 114 m / s. Hence, final velocity of the object is 114 m / s.

Properly bonding all metal parts within an electrical system helps ensure a low-impedance fault current path. Fault current is the current that flows when an electrical system experiences a fault or short circuit.

This current can cause damage to equipment and pose a risk of electric shock to personnel if not properly controlled. A low-impedance fault current path is necessary to ensure that fault current is safely and quickly conducted away from the point of the fault.To achieve a low-impedance fault current path, all metal parts within an electrical system must be bonded together using suitable conductors or connectors. This includes the equipment grounding conductor (EGC), which is a dedicated conductor that connects all non-current-carrying metal parts of electrical equipment together and to the system grounding conductor (SGC).

The SGC provides a connection to earth and ensures that any fault current is safely directed away from the system to ground. By bonding all metal parts together, electrical continuity is established throughout the system, reducing the risk of high-impedance or intermittent connections that can lead to arcing, overheating, and other hazards. Proper bonding also reduces electromagnetic interference (EMI) and ensures the effectiveness of overcurrent protection devices, such as fuses and circuit breakers.

Overall, proper bonding is an essential element of electrical safety, ensuring that fault current is quickly and safely conducted away from the point of the fault, reducing the risk of electrical hazards and equipment damage.

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Answer:

a) In order for the riders to stay pinned against the inside of the drum when the floor drops away, the force of friction between the drum and the riders must be greater than or equal to the force of gravity pulling them down.The maximum force of friction that can be exerted on a rider is given by:f_max = μNwhere μ is the coefficient of static friction and N is the normal force acting on the rider.At the minimum speed required for the riders to stay pinned against the inside of the drum, the normal force acting on each rider is equal to their weight, so:N = mgwhere m is the mass of the rider and g is the acceleration due to gravity.The force of gravity pulling the rider down is:F = mgTherefore, the minimum speed required for the riders to stay pinned against the inside of the drum is given by:f_max = FμN = mgv_min = sqrt(rgμ)where r is the radius of the drum, which is half of the diameter, so r = 5m.Plugging in the values, we get:v_min = sqrt(59.80.15) = 2.16 m/sb) The angular velocity of the drum at this speed can be found using the formula:v = ωrwhere v is the linear velocity of the riders at the minimum speed required to stay pinned against the inside of the drum, r is the radius of the drum, and ω is the angular velocity of the drum.Rearranging this equation to solve for ω, we get:ω = v/rPlugging in the values, we get:ω = 2.16/5 = 0.432 rad/sSo the angular velocity of the drum at the minimum speed required for the riders to stay pinned against the inside of the drum is 0.432 rad/s.

Answer:A 1000 kg car and a 2000 kg truck have the same momentum when the car is travelling at twice the speed of the truck, i.e. 38 m/s.

When a 1000kg car and a 2000kg truck have the same momentum, the speed of 1000 kg car is twice that of the  2000kg truck.

The product of a particle's mass and velocity is its momentum. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.

As  a 1000kg car and a 2000kg truck have the same momentum,

1000 kg × v₁ = 2000 kg × v₂

v₁ = 2v₂

Hence, the speed of 1000 kg car is twice that of the  2000kg truck.

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Jonathan should perform 30 minutes of jogging to reach the recommended moderate aerobic activity in a week.

The total activity performed till the mentioned time of week = 120 minutes

The total amount of moderate aerobic activity needed in a week = 150 minutes

So, to calculate the remaining amount of time, we will perform subtraction

Hence, performing subtraction to find the jogging time needed

The amount of time required to reach the recommended moderate aerobic activity in a week = 150 - 120

The amount of time required to reach the recommended moderate aerobic activity in a week = 30 minutes

Therefore, 30 minutes jogging is required.

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The direction of the smallest magnetic field that enables the wire to move in this fashion to East.

A magnetic force in the direction of north that is equal in strength to the friction force will be required.

Fm - f = 0

I L B = uk mg = 0.

(1.50 x 1 x B) - (0.20 x 0.1 x 9.8) = 0

B = 0.131 T

b) the magnetic force, Fm = IL x B. (cross product )

- > north F

The formula can be used to calculate the magnetic force for a moving charge particle;

∈= Bvlsinθ

Due to the parallel motion of the wire, the angle between the magnetic field and velocity is zero degrees.

B = 0.500 T

v = 1.50 m/s

l = 0.200 m

Therefore,

∈ = (0.500 T) (1.50 m/s) * (0.200 m) *sin 0

∈=0.15 * sin 0

∈= 0

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A spherical aberration in a semicircular lens negatively affects the clarity and sharpness of the image formed due to the imperfect convergence of light rays at the focal point.

The effect of spherical aberration observed in a semicircular lens can be explained as follows: Spherical aberration occurs when light rays entering the lens at different distances from the optical axis do not converge at a single focal point.

In a semicircular lens, this aberration results from the curved shape of the lens surfaces, causing rays parallel to the optical axis to focus at different points along the axis.

The main impact of spherical aberration in a semicircular lens is the distortion and blurring of the image formed, as rays from a single point source are not focused sharply onto a single point on the image plane.

This aberration can be minimized by using an aspherical lens, which has a surface profile designed to eliminate the discrepancies in the focusing of light rays.

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Answer: Voltage = (current) x (resistance)

Voltage = (1.5 A) x (2 ohms)

In order to MAKE 1.5 A of current flow through the toy car, you have to PROVIDE 3 volts from the battery.

The primary way the level of force of muscle contraction is controlled is by the recruitment of motor units.

A motor unit is made up of a motor neuron and the muscle fibers it controls. When a muscle needs to generate more force, additional motor units are recruited to contract together.

The size and number of motor units recruited depends on the level of force required. For example, lifting a light pad of paper may only require a few motor units to be recruited, whereas lifting a heavy textbook requires many more motor units to be recruited.

Additionally, the frequency of stimulation to the motor units can also impact the level of force generated by the muscle. Higher frequency of stimulation can result in greater force production.

Overall, the recruitment of motor units and frequency of stimulation are key factors in controlling the level of force of muscle contraction.

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