A ball is launched horizontally at 150 m/s from a cliff. What is its initial vertical velocity? A. 30 m/s B. 50 m/s C. 150 m/s D. 0 m/s
NEED HELP ASAP!!!!!!

Answers

Answer 1

Final answer:

The correct answer is D. 0 m/s. This is because the ball has no initial vertical velocity when launched horizontally from a cliff.

Explanation:

The initial vertical velocity for a ball launched horizontally from a cliff would be 0 m/s. This is because when an object is thrown horizontally, it means that all of its initial velocity is in the horizontal direction, and thus it has no initial vertical velocity.

Looking at our options:

A. 30 m/sB. 50 m/sC. 150 m/sD. 0 m/s - Correct Answer.


Related Questions

An electric charge in a magnetic field will experience no force if the charge is moving _______ to the field.

perpendicular

parallel

Answers

Answer:

Parallel

Explanation:

An electric charge in a magnetic field will experience no force if the charge is moving parallel to the field.

No force is exerted on electric charge when it moves parallel to magnetic field.

Answer: Parallel

Explanation:

When the electric charge moves parallel in a magnetic field, the component of velocity and field becomes zero which results in net force as zero.

This due to the sine component which makes zero angle and thus component as zero too. The force on the charge moving in magnetic field is perpendicular to velocity and field.

At 20 degrees Celsius, conducting wires made of different materials have the same length and the same diameter. Which wire has the least resistance? aluminum gold nichrome tungsten

Answers

Final answer:

The wire with the least resistance at 20 degrees Celsius, given the same length and diameter, would be gold due to its lower resistivity compared to aluminium, nichrome and tungsten.

Explanation:

The resistance of a wire depends on its material's resistivity, length, and cross-sectional area. In this case, the wires are of the same length and diameter, so the wire with the least resistance would be the one with the lowest resistivity. Comparing the different materials listed, gold, aluminum, nichrome, and tungsten, we find that gold has the lowest resistivity, so it would have the least resistance at 20 degrees Celsius.

It's worth noting this concept with the base of Ohm's law. In general, materials with good conductivity, like gold, copper, and aluminum, are referred to as ohmic materials where the resistance remains essentially the same for a wide range of voltage and current. This is due to the abundant free electrons in these metals that allow for easy flow of electric current thereby reducing resistance.

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Final answer:

When comparing aluminum, gold, nichrome, and tungsten wires of the same length and diameter at 20 degrees Celsius, the gold wire would have the least resistance due to gold's low resistivity.

Explanation:

The ability of a material to resist the flow of electrical current is measured as resistance. In this case, we are comparing the resistance of different types of conducting wires at the same temperature, length, and diameter. From the given options, which include aluminum, gold, nichrome, and tungsten, the wire that would have the least resistance, other factors being equal, would be gold.

The reason for this is that gold, amongst these options, has the lowest resistivity. Resistivity is the property of a material that determines the resistance of a wire made from that material. It basically measures how strongly the material opposes the flow of electric current.

In the case of gold, it is one of the most conductive materials known, meaning it has very low resistivity, and therefore a gold wire would have lower resistance than wires made from the other materials listed. While silver actually has the highest conductivity and lowest resistivity of any metal, it is not one of the options presented in this question.

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The frequency of a wave determines which of the following?
loudness
reflection
energy
pitch

Answers

Answer:

loudness

Explanation:

Frequency is determined by speed / wavelength. The longer the wavelength, the lower the pitch. The 'height' of the wave is its amplitude. The amplitude determines how loud a sound will be

The wave frequency determines the pitch of the sound.

Answer: Option D

Explanation:

The wave frequency determines the pitch of the sound as the sound wave has the frequency which is sensibly understood by the human ear as the pitch. Pitch has two category, high pitch and low pitch.

A high pitch sound is one which has the rapid or more frequent oscillation and on the other hand, low pitch sound is the one which has slow or less frequent oscillation in the sound wave.

What is the relationship between amplitude and volume?

Answers

Answer:

Explanation:

The sound moves in the form of waves. The amplitude is the distance between the highest and the lowest point of a wave.  In this way the amplitude indicates the amount of energy that a sound signal contains.

Intensity is the amount of acoustic energy that a sound contains. Intensity is measured in decibels. Volume is a measure of the energy that a signal carries, being a magnitude of intensity.

In this way it is possible to say that the energy of a signal is closely related to its amplitude, but its development over time is also important.

The tone or height is the quality that distinguishes between a high or low sound and a low or high sound.

Which compound is an unsaturated hydrocarbon?


cyclobutane

isopropane

ethyne

pentane

Answers

Answer:

i believe it is isopropane. sorry if this isnt helpful, but i believe thats correct

Explanation:

Answer:

Ethyne

Explanation:

gradpoint

A turbine is an example of which of the following?

A.
motor
B.
generator
C.
transformer
D.
magnet

Answers

Answer:

B. Generator

Explanation:

A turbine (meaning "turbulence") is a rotary mechanical device that extracts energy from a fluid flow and converts it into useful work. The work produced by a turbine can be used for generating electrical power when combined with a generator  So I prefer to go with option B. generator

Answer:

B. Generator (for Plato/Treca)

Explanation:

A turbine spins to create electricity, therefore, making it a generator.

Which factors can most directly affect the motion of a spring? Check all that apply. the color of the spring the stiffness of the spring the mass of the spring itself the force applied to the spring the distance the spring is stretched

Answers

Answer:

-THE STIFFNESS OF THE SPRING

-THE FORCE APPLIED TO THE SPRING

-THE DISTANCE THE SPRING IS STRETCHED

Explanation:

Spring stiffness applied force, and stretched distance can most directly affect the motion of a spring.

What is spring force?

The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force.

Its formula is

F = kx

The factors can most directly affect the motion of a spring:

The stiffness of the spring.

The forces applied to the spring.

The distances the spring is stretched.

Hence, spring stiffness applied force, and stretched distance can most directly affect the motion of a spring.

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A box weighing 180 newtons is hanging by rope as shown in the figure. Find the tension T2.
A. 81 newtons
B.
171 newtons
C. 130 newtons
OD. 85 newtons

Answers

Answer:

B. 171 N

Explanation:

The equation of the forces along the horizontal and vertical directions are:

Horizontal:

[tex]T_2 cos 62^{\circ} = T_1 cos 20^{\circ}[/tex] (1)

Vertical:

[tex]T_1 sin 20^{\circ} + T_2 sin 62^{\circ} = W[/tex] (2)

Where W = 180 N is the weight of the box.

From (1),

[tex]T_2 \frac{cos 62^{\circ}}{cos 20^{\circ}} = T_1 [/tex]

Substituting into (2),

[tex](T_2 \frac{cos 62^{\circ}}{cos 20^{\circ}}) sin 20^{\circ} + T_2 sin 62^{\circ} = W\\T_2 (cos 62^{\circ} tan 20^{\circ}+sin 62^{\circ})=W\\T=\frac{W}{cos 62^{\circ} tan 20^{\circ}+sin 62^{\circ}}=171 N[/tex]

Final answer:

The tension T2 in the rope is equal to the weight of the box, which is 180 Newtons.

Explanation:

To find the tension T2, we need to analyze the forces acting on the box. From the figure, we can see that there are two forces acting on the box: the weight of the box, which is 180 Newtons acting vertically downwards, and the tension T2 in the rope. Since the box is in equilibrium, the sum of the forces in the vertical direction must be zero. This means that the tension T2 must be equal to the weight of the box, which is 180 Newtons. Therefore, the correct answer is 180 Newtons.

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Select the correct answer. In a given chemical reaction, the energy of the products is less than the energy of the reactants. Which statement is true for this chemical reaction? A. Energy is absorbed in the reaction. B. Energy is released in the reaction. C. There is no transfer of energy in the reaction. D. Energy is lost in the reaction.

Answers

Answer:

D

Explanation:

If in a given reaction the energy of products is greater than the energy of reactants it means that reaction is endothermic and during the reaction, the energy is absorbed by reactants. In an endothermic reaction, the products have more stored chemical energy than the reactants. And in this reaction the reactants are more stable than products before the compounds with less energy are always more stable.

Answer:

B

Explanation:

In science, it is understood that energy cannot be created, nor destroyed, it can only change form. Hence, certain reactions require a lot of energy, since their products have a higher energy than their reactants, or they release energy because their products have less energy than their reactants.

A: Is incorrect, because a reaction will not absorb energy if the products have less energy than the reactants.

B: Is correct, because in a reaction where the products have less energy, there will be a release of energy into the environment (usually heat).

C: Is incorrect, because there is always a transfer of energy in a chemical reaction.

D: Is incorrect, because energy cannot be "lost". It may be released into the environment, but it cannot be lost.

What is the force that can cause two pieces of iron to attract each other?
A.
gravitational force
B.
magnetic force
C.
elastic force
D.
electrostatic force

Answers

Answer:

B. Magnetic Force

Explanation:

two pieces of irons cannot attract each other unless at least one of them is magnetize. That force is called magnetism.

1.0. A body has a moss 5 kg, what does it mean? How
is mass of a body measured? Define one second​

Answers

Answer:Kg is the unit of mass. So a 5kg object has a mass of 5kg. The weight you associate with it is only relevant on Earth (under its specific gravity) and in fact really the kilogram-force measurement which is measured in Newtons (5kg x 9.8m/s2 = 49.2N). ... Commonly, it means the object weighs 5kg

Explanation:

This is not my answer

Final answer:

A body with a mass of 5 kg contains an amount of matter equivalent to 5 kilograms. Mass is a measure of the amount of matter and inertia in an object, measured in kilograms using a balance. One second is the time duration of over 9 billion periods of the radiation of the cesium-133 atom.

Explanation:

Understanding Mass and Its Measurement

When a body has a mass of 5 kg, it means that the body contains matter equivalent to 5 kilograms. Mass is a property of an object that quantifies its amount of matter and its inertia. Inertia is the object's tendency to maintain its state of motion. The mass does not change regardless of the location because it is independent of external forces like gravity. In contrast, weight is the force on a body due to gravity and can vary with the change of gravity in different locations.

Mass is measured using a balance that compares the object to a standard mass, such as a known weight or the International Prototype Kilogram, which is a cylinder made of a platinum-iridium alloy kept at the International Bureau of Weights and Measures in France. The standard unit of mass in the International System of Units (SI) is the kilogram (kg).

Definition of One Second

One second is the duration of 9,192,631,770 periods of radiation corresponding to the transition between two hyperfine levels of the ground state of the cesium-133 atom at 0 kelvin. It is a unit of time in the International System of Units (SI).

The centripetal force depends on the mass of body, angular velocity and radius of circular path. Find the expression for the centripetal force. ​

Answers

Q:-The centripetal force depends on the mass of body, angular velocity and radius of circular path. Find the expression for the centripetal force.Answer:F=2rm2v2.

Centripetal force, directed towards the center of a circle, can be expressed using the formulas Fc = mv^2/r (using tangential speed) or Fc = mrw^2 (using angular velocity), where m is the mass, v is the speed, w is the angular velocity, and r is the radius of the circular path.

The centripetal force is the force that keeps an object moving in a circular path and is directed towards the center of the circle. The expression for centripetal force can be derived from the centripetal acceleration, which is given by ac = v2/r and ac = rw2.

When we apply Newton's second law (F = ma), we can express the centripetal force using the formula Fc = mv2/r; this version uses the tangential speed (v) of the object. Alternatively, using angular velocity (w), the formula is Fc = mrw2. The mass (m) of the object, the speed (v), angular velocity (w), and the radius (r) of the circular path all factor into the magnitude of the centripetal force.

The centripetal force is always perpendicular to the tangential velocity of the object and points towards the center of the circle. This ensures that the object continues moving in a curved path rather than in a straight line.

Which waves can travel only through solids?

Answers

Answer:

S- waves

Explanation:

S- waves are known as secondary waves or shear waves. They only propagate through solid medium only.

S- waves are elastic seismic waves that propagates transversely moving materials perpendicularly along their direction. In the process, they cause shearing. Only solids have enough shear strength to withstand the movement of s-waves without getting altered. Liquids and gases cannot shear and would not allow s-waves to propagate through them.

Which substance has the highest specific heat? A. Soil B. Mud C. Sand D. Water

Answers

Answer: D. Water.

Explanation: Among liquids, water has highest heat capacity (4.18 kJ/Kg.K) but hydrogen has highest (14.3 kJ/Kg.K) heat capacity of all.

The substance with the highest specific heat is water. The correct option is D

Which substance has the highest specific heat?

Water has a specific heat capacity of about 4.186 joules per gram per degree Celsius (J/g°C), which is significantly higher than most other substances. This means that it requires a large amount of heat energy to raise its temperature by a given amount compared to other materials like soil, mud, or sand.

Due to its high specific heat, water can absorb and store a substantial amount of heat during the day and release it slowly at night, moderating temperature changes in the surrounding environment. This property is essential for maintaining stable climates in various ecosystems and has a significant impact on Earth's weather patterns. In conclusion, water's high specific heat makes it a crucial factor in regulating the planet's temperature and climate.

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If a person weighs 90 N on Earth, and the gravitational acceleration due to Jupiter's gravity is 25.98 m/s2, how much would the person weigh on Jupiter?

A. 3.46 N
B. 238.59 N
C. 882.00 N
D. 2338.20 N

Answers

Answer:

B. 238.59 N

Explanation:

First, use their weight on Earth to find their mass:

W = mg

90 N = m (9.8 m/s²)

m = 9.18 kg

Now use this mass to find the new weight on Jupiter.

W = mg

W = (9.18 kg) (25.98 m/s²)

W = 238.59 N

Cleaning tarnished silver is an example for which of the following.

chemical change

chemical property

physical change

physical property

Answers

I believe chemical change is the correct answer.

Silver is a chemical so it certainly will not deal with physical change or physical property.

It cannot be a property since it consists of only one element which is silver.

Cleaning tarnished silver is an example of chemical change, therefore the correct answer is option A.

What is a chemical reaction?

A chemical reaction is a process in which one or more substances, also known as reactants are converted to one or more different substances, known as products.    

A chemical bonding between a metal and a nonmetal molecule, often oxygen and sulfur dioxide, results in a tarnish.

The result of a chemical interaction between a metal and a non-metal substance like oxygen or sulfur oxides is a tarnish.

Since polishing tarnished silver is an example of a chemical change, option A is the appropriate response.

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Driving to work one morning, you get a flat tire. When using the car jack, you apply 120 N of force to the jack and the jack in turn applies 2000 N of force to lift the car up. What is the mechanical advantage of the jack?

Answers

Explanation:

Mechanical advantage is the ratio of output force to input force.

MA = 2000 N / 120 N

MA = 16.67

Round as needed.

Answer:MA = 2000 N / 120 N

MA = 16.67

Explanation:

How do you find the speed of an electromagnetic wave? Multiply the wavelength by the frequency. Dvide the frequency by the wavelength. Add the wavelength plus the frequency. Divide the wavelength by the frequency.

Answers

Answer:

Multiply the wavelength by the frequency.

Explanation:

The velocity of a wave is the frequency times the wavelength.

A cannonball is fired on flat ground
at 420 m/s at a 53.0° angle. What
maximum height does it reach?

Answers

hmax = 5740.48 m. The maximum height that a cannonball fired at 420 m/s at a 53.0° angles is 5740.48m.

This is an example of parabolic launch. A cannonball is fired on flat ground at 420 m/s at a 53.0° angle and we have to calculate the maximum height that it reach.

V₀ = 420m/s and θ₀ = 53.0°

So, when the cannonball is fired it has horizontal and vertical components:

V₀ₓ = V₀ cos θ₀ = (420m/s)(cos 53°) = 252.76 m/s

V₀y = V₀ cos θ₀ = (420m/s)(cos 53°) = 335.43m/s

When the cannoball reach the maximum height the vertical velocity component is zero, that happens in a tₐ time:

Vy = V₀y - g tₐ = 0

tₐ = V₀y/g

tₐ = (335.43m/s)/(9.8m/s²) = 34.23s

Then, the maximum height is reached in the instant tₐ = 34.23s:

h = V₀y tₐ - 1/2g tₐ²

hmax = (335.43m/s)(34.23s)-1/2(9.8m/s²)(34.23s)²

hmax = 11481.77m - 5741.29m

hmax = 5740.48m

Answer:

5740.48

Explanation:

Which of the following are likely to form a covalent bond?

gold and gold
oxygen and oxygen
magnesium and oxygen
magnesium and gold

Answers

Two non-metals form a covalent bond.
The answer is oxygen and oxygen.
Non-metals only makes covalent bonds and the only answer choice with no metal is b. Brainliest meee!

As the distance between two charged objects increases, the strength of the electrical force between the objects
varies
remains the same.
increases.
decreases.
) Intro
Done
OOOOOOOO
9 of 10

Answers

As the distance between two charged objects increases, the strength of the electrical force between the objects  decreases.

Answer: Decreases

Explanation:

got it right on the assignment. Hope this helps peeps! :]

What happens to energy “lost” during an energy transformation?

Answers

Energy loss. Figure 1. Energy losses in an incandescent light bulb are very large; most of the input energy is lost in the form of heat energy. When energy is transformed from one form to another, or moved from one place to another, or from one system to another there is some energy loss.

There is some energy loss when it is changed from one form to another, and relocated from one location to another.

What is energy?

Energy is a quantifiable quality that may be transferred to a body or a physical system and is noticeable when labor is done as well as when heat and light are produced.

An incandescent light bulb has significant energy losses; the majority of the input energy is dissipated as heat energy. There is some energy loss when it is changed from one form to another, relocated from one location to another, or moved from one system to another.

There is some energy loss when it is changed from one form to another, relocated from one location to another, or moved from one system to another. This implies that some of the incoming energy is transformed into a highly disordered form of energy, such as heat, when energy is transformed into a new form.

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Affirmations and strokes relate to the power of adult

Answers

easy all you gotta do is stroke

A copper calorimeter of mass 120g contains 70g of water and 10g of ice at 0 °C. What mass of steam at 100°C must be passed into calorimeter to raise the temperature to 40°C.​

Answers

Answer:

Approximately 73 grams if no heat is lost in this process.

Explanation:

Relevant data and their sources:

Specific heat capacity of copper: [tex]c(\text{Copper}) = \rm 0.385\;J\cdot g^{-1}[/tex] (cpanhd, IUN.edu);Specific heat capacity of water: [tex]c(\text{Water}) = \rm 4.179\;J\cdot g^{-1}[/tex] (ibid.);Latent heat of fusion of water: [tex]L_\mathrm{F}(\text{Water}) = \rm 334\;J\cdot g^{-1}[/tex] (Legates 2005);Latent heat of vaporization of water: [tex]L_\mathrm{V}(\text{Water}) = \rm 2.260\;J\cdot g^{-1}[/tex] (Datt 2001).

How much heat is needed?

The heat it takes to raise the calorimeter and its content from 0°C to 40°C includes three parts:

The heat it takes to melt that 10 grams of ice, The heat it takes to heat that [tex]70 + 10 = 80[/tex] grams of water from 0°C to 40°C, andThe heat it takes to heat the 120-gram calorimeter from 0°C to 40°C.

Note that to avoid rounding errors, most calculations in this explanation do not follow significant figure rules.  

How much heat will it take to melt that 10 grams of ice?

The latent heat of fusion of water gives the amount of heat required to melt each unit mass of ice at 0°C to water without changing the temperature. (As a side note, that's also the amount heat released when unit mass of water turns into ice at 0°C.)[tex]L_\mathrm{F}(\text{Water}) = \rm 334\;J\cdot g^{-1}[/tex]. Melting each gram of ice requires approximately 334 joules of heat, so melting 10 grams of ice will require about 3,340 joules of heat.

How much heat will it take to heat that 80 grams of water from 0°C to 40°C?

There's no state change involved after all that 10 grams of ice melted into water. There's now 80 grams of water at 0°C to melt. The specific heat of water gives the amount of energy required to raise one gram of water by one degree Celsius (which is the same as one degree Kelvin.) [tex]c(\text{Water}) = \rm 4.179\;J\cdot g^{-1}[/tex].

[tex]Q(\text{water}) = c(\text{water})\cdot m(\text{water}) \cdot \Delta T = \rm 4.179\times 80\times 40 = 13372.8\; J[/tex].

How much heat will it take to heat that 120-gram calorimeter from 0°C to 40°C?

The melting point of copper is approximately 1,100°C, which is much higher than 100 °C. As a result, there will not be any state change in this process. [tex]c(\text{Copper}) = \rm 0.385\;J\cdot g^{-1}[/tex]. Similarly,

[tex]Q(\text{copper}) = c(\text{copper})\cdot m(\text{copper}) \cdot \Delta T = \rm 0.385\times 120\times 40 = 1848\; J[/tex].

How much heat is required in total?

Combining all three parts:

[tex]\rm 3340 + 13372.8 + 1848 = 18560.8\; J[/tex].

How much steam at 100°C will be required?

The steam added to the calorimeter will first condense to form water of 100°C before cooling down to 40°C. The energy released in that process will come in two parts:

The energy released while the steam condenses to water at 100°C, andThe energy released while the water formed cools from 100°C to 40°C.

To simplify the calculations, let the mass of steam required be [tex]x[/tex] grams. [tex]x>0[/tex].

How much energy will be released when that [tex]x[/tex] grams of steam condenses to water?

Similar to the latent heat of fusion of water, the latent heat of vaporization of water gives the amount of heat released for each unit mass of steam that condenses to water at 100°C without change in temperature. (As a side note, that's also the amount of energy required to turn unit mass of water into steam at 100°C.) [tex]L_\mathrm{V}(\text{Water}) = \rm 2.260\;J\cdot g^{-1}[/tex]. In other words, each gram of steam that condenses at 100°C will release approximately 2.260 joule. [tex]x[/tex] grams of steam that condenses at 100°C will release [tex]2.260x[/tex] joules of heat.

How much energy will be released when that [tex]x[/tex] grams of steam condenses to water?

Similar to the heat required to heat 80 grams of water from 0°C to 40°C, the heat released when [tex]x[/tex] grams of steam condenses to water can also be found with the specific heat capacity of water. [tex]c(\text{Water}) = \rm 4.179\;J\cdot g^{-1}[/tex].

[tex]Q(\text{water}) = c(\text{water})\cdot m(\text{water}) \cdot \Delta T = \rm 4.178\cdot \mathnormal{x}\times (100 - 40)=250.68\mathnormal{x} \; J[/tex].

How much energy will be released in total when [tex]x[/tex] grams of steam condenses to water at 100°C and cools to 40°C?

[tex]2.260x + 250.68x = \rm 252.94\mathnormal{x}\;J[/tex].

Again, how much steam at 100°C will be required?

The amount of heat released shall equal to amount of heat absorbed. As a result,

[tex]252.94x = 18560.8[/tex].

[tex]\displaystyle x = \rm\frac{18560.8}{252.94}\approx 73\;g[/tex].

In other words, approximately 73 grams of steam at 100°C will be required to heat that calorimeter and its contents to 40°C.

Answer:

7.4 g

Explanation:

Heat absorbed by copper:

= mc Cc ΔTc

= (120 g) (0.39 J/g/°C) (40°C − 0°C)

= 1872 J

Heat absorbed by ice:

= mi Li + mi Cw ΔTi

= (10 g) (334 J/g) + (10 g) (4.18 J/g/°C) (40°C − 0°C)

= 5012 J

Heat absorbed by water:

= mw Cw ΔTw

= (70) (4.18 J/g/°C) (40°C − 0°C)

= 11704 J

Heat lost by steam:

= ms Ls + ms Cw ΔTs

= m (2264.7 J/g) + m (4.18 J/g/°C) (100°C − 40°C)

= 2515.5 J/g m

1872 J + 5012 J + 11704 J = 2515.5 J/g m

m = 7.39 g

Rounded to two significant figures, the mass of steam needed is 7.4 grams.

plz.. help me this out I am from nepal actually it is math

Answers

Answer:

tan (x eˣ) + C

Explanation:

∫ (eˣ + x eˣ) / (cos² (x eˣ)) dx

First, use u-substitution.

u = x eˣ

du = (eˣ + x eˣ) dx

∫ 1 / (cos² u) du

∫ sec² u du

tan u + C

Substitute back:

tan (x eˣ) + C

an electric clothes dryer has a resictance of 16 Ohms it drawes 15 A of current what is the voltage in volts of the wall outlet that it is pluged into

Answers

Answer:

V=240 volts

Explanation:

V=IR

V=15*16

QUESTION 6

The number of strawberries on a strawberry plant and the amount of water the plant recieves have a direct relationship. The the amount of water the plant receives increases, how will the number of strawberries on the plant change?

Decrease

Increase

No change

Increase and decrease in a regular pattern

Answers

Answer:

Increase. As the water increases, so will the strawberries if watered evenly throughout

I agree with increase

Hi, I'm having a lot of trouble with this one. The answer I got to was 407.91 but I'm not confident in it.

Answers

Answer:

6.20×10⁴ V/m

Explanation:

The magnitude of electric field is:

E = √(Eₓ² + Eᵧ²)

where Eₓ = ∂φ/∂x and Eᵧ = ∂φ/∂y.

φ = 1.11 (x² + y²)^-½ − 429x

Eₓ = -0.555 (x² + y²)^-(³/₂) (2x) − 429

Eᵧ = -0.555 (x² + y²)^-(³/₂) (2y)

Evaluating at (0.003, 0.003):

Eₓ = -44034 V/m

Eᵧ = -43605 V/m

The magnitude is:

E = 61971 V/m

Rounded to three significant figures, the strength of the electric field is 6.20×10⁴ V/m.

The maximum speed of a 4.1 kg mass attached to spring is 0.78 m/s and the maximum force exerted on the mass is 13 N.
(a) what is the amplitude of motion for this mass?
(b) what is the force constant of the spring?
(c) What is the frequency of this system?

Answers

Start with the conservation of energy. The spring potential energy and the mass' kinetic energy will fluctuate over time, but their sum will stay constant. The maximum spring potential energy equals the maximum kinetic energy.

0.5mv² = 0.5kx²

m is the mass, v is the maximum velocity, k is the spring constant, and x is the maximum displacement along the spring.

Given values:

m = 4.1kg

v = 0.78m/s

Calculate the maximum kinetic energy.

Max KE = 0.5mv² = 1.247J

Set this equal to the maximum spring potential energy.

Max spring PE = 0.5kx² = 1.247J

x² = 2.494/k

The spring force is F = kx

Max F = kx = 13N

x = 13/k

x² = 169/k²

Set both values of x² equal to each other and solve for k the spring constant:

2.494/k = 169/k²

2.494k = 169

k = 67.8N/m

Use k to find x:

Max F = kx = 13N

67.8x = 13

x = 0.192m

The frequency of the system is given by:

f = (1/(2π))√(k/m)

f is the frequency, k is the spring constant, m is the mass.

f = (1/(2π))√(67.8/4.1)

f = 0.647Hz

The amplitude is the maximum distance from the mean position. The amplitude for the motion for the given mass is 2.658 m.

From the formula of Maximum velocity :

[tex]V_{max } = 2\pi fA[/tex]

For Amplitude:

[tex]A = \dfrac { V_{max}}{2\pi f} [/tex]

Where,

[tex]V_{max } [/tex] - maximum velocity of the mass =  0.78 m/s

[tex]f[/tex] - force exerted on the object  = 13  N

[tex]A[/tex]- amplitude = ?

Put the values in the formula and solve it for [tex]A[/tex],

[tex]A = \dfrac {13 }{2\pi \times 0.78 } \\\\ A = \dfrac {13}{4.89}\\\\ A = 2.658[/tex]

Therefore, the amplitude for the motion for the given mass is 2.658 m.

Learn more about the amplitude:

https://brainly.com/question/9351212

If the change in velocity increases, what happens to the acceleration during the same time period?
Acceleration decreases.
O Acceleration increases
Acceleration becomes negative.
O Acceleration becomes steady
Fast plz and it’s not becomes steady

Answers

When the velocity is increasing the acceleration increases too

Answer:

B

Explanation:

Took on Edge 2022

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