A 2,500 Hz sound wave travels with a speed of 15 m/s in water. A paleontologist measures
the valley to the second valley of the wave to be 7.5 cm.
➤What is the (a) period? What is the (b) frequency? What is the (c) wavelength?

Answers

Answer 1

The answers are A. The period of the wave is 4 × 10⁻⁴ s, B. The frequency is 2500 Hz and C. The wavelength is 6 cm.

A sound wave is a type of wave that travels through the medium by compressing and expanding the particles of the medium. These waves have certain characteristics that are used to measure their properties. The following are the answers to the given question: A 2,500 Hz sound wave travels with a speed of 15 m/s in water. A paleontologist measures the valley to the second valley of the wave to be 7.5 cm.a) The period of a wave is the time it takes to complete one cycle. The formula for calculating the period of a wave is Period = 1/Frequency. Here, the frequency of the wave is 2500 Hz. Hence, the period of the wave can be calculated as Period = 1/2500 Hz = 4 × 10⁻⁴ s.b) The frequency of a wave is the number of cycles that pass a point in one second. The formula for calculating the frequency of a wave is Frequency = 1/Period. Here, the period of the wave is 4 × 10⁻⁴ s. Hence, the frequency of the wave can be calculated as Frequency = 1/4 × 10⁻⁴ s = 2500 Hz.c) The wavelength of a wave is the distance between two successive points on the wave that are in phase. The formula for calculating the wavelength of a wave is Wavelength = Wave speed / Frequency. Here, the wave speed of the sound wave is 15 m/s and the frequency of the wave is 2500 Hz. Hence, the wavelength of the wave can be calculated as Wavelength = 15 / 2500 = 0.006 m = 6 cm.

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Related Questions

a system absorbs 35J of heat and in the process it does 11J of work if the initial internal energy is 205J a,what is the final internal energy b,the system follows a different thermodynamic path to the same final state and does 15J of work, what is the heat transferred ?​

Answers

Answer:

\(a)uf = 205 + 35 - 11 \\ = 240 - 11 \\ = 229j \\ b)q(heat \: transferd) = 229 - 205 - 11 \\ = 24 - 11 \\ = 13j \\ thank \: you\)

The heat transferred is

a) u f = 205+35-11

      =240-11

      = 229 j

b) q (heat transferred ) = 223-205-11

   = 24-11

   = 13 j

What is the difference between course and process in thermodynamics?

While a thermodynamic gadget passes thru an exchange in the state, a succession of states exceeded could be termed as a course of the device or direction of an alternate country. If the route of change of kingdom is completely distinctive, route of alternate of the nation may be termed as thermodynamic manner.

The technique is described via a direction, which is the non-stop collection of consecutive states via which the machine passes, consisting of the initial nation, the intermediate states, and the very last state. The process has a course along the course.

An asset whose price would not depend upon the course taken to attain that unique price is thought to as kingdom capabilities or point features. In contrast, those capabilities which do depend upon the direction from points are referred to as course features.

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how do we use visible light to detect chemicals in other atmospheres?

Answers

Simply put different aspects of the electromagnetic spectrum reflect differently. Certain chemicals will absorb different frequencies of light while reflecting others.

Cane Company manufactures two products called Alpha and Beta that sell for $240 and $162, respectively. Each product uses only one type of raw material that costs $5 per pound. The company has the capacity to annually produce 131,000 units of each product. Its average cost per unit for each product at this level of activity are given below:

Alpha Beta
Direct materials $ 35 $ 15
Direct labor 48 23
Variable manufacturing overhead 27 25
Traceable fixed manufacturing overhead 35 38
Variable selling expenses 32 28
Common fixed expenses 35 30
Total cost per unit $ 212 $ 159
The company considers its traceable fixed manufacturing overhead to be avoidable, whereas its common fixed expenses are unavoidable and have been allocated to products based on sales dollars.

8. Assume that Cane normally produces and sells 80,000 Betas and 100,000 Alphas per year. If Cane discontinues the Beta product line, its sales representatives could increase sales of Alpha by 13,000 units. What is the financial advantage (disadvantage) of discontinuing the Beta product line?

9. Assume that Cane expects to produce and sell 100,000 Alphas during the current year. A supplier has offered to manufacture and deliver 100,000 Alphas to Cane for a price of $160 per unit. What is the financial advantage (disadvantage) of buying 100,000 units from the supplier instead of making those units?

10. Assume that Cane expects to produce and sell 75,000 Alphas during the current year. A supplier has offered to manufacture and deliver 75,000 Alphas to Cane for a price of $160 per unit. What is the financial advantage (disadvantage) of buying 75,000 units from the supplier instead of making those units?

Answers

The financial advantage of discontinuing the Beta product line would be a disadvantage of $9,840,000. The financial advantage of buying 100,000 units from the supplier instead of making them would be an advantage of $4,700,000.The financial advantage of buying 75,000 units from the supplier instead of making them would be an advantage of $3,525,000.

To calculate the financial advantage or disadvantage of discontinuing the Beta product line, we need to compare the costs and revenues associated with the current situation and the proposed scenario.

Currently, the company produces and sells 80,000 Betas and 100,000 Alphas. If the Beta product line is discontinued, the sales representatives can increase Alpha sales by 13,000 units.

In the current situation:

Revenue from Beta sales = 80,000 units × $162 = $12,960,000

Revenue from Alpha sales = 100,000 units × $240 = $24,000,000

Total revenue = $12,960,000 + $24,000,000 = $36,960,000

In the proposed scenario:

Increased Alpha sales = 113,000 units × $240 = $27,120,000

Therefore, the financial advantage or disadvantage can be calculated as:

Financial Advantage = Revenue in proposed scenario - Revenue in current situation

Financial Advantage = $27,120,000 - $36,960,000 = -$9,840,000

The financial advantage of discontinuing the Beta product line would be a disadvantage of $9,840,000.

To determine the financial advantage or disadvantage of buying 100,000 units from the supplier instead of making them, we need to compare the costs of production with the purchase cost from the supplier.

Cost of producing 100,000 Alphas:

Direct materials cost = 100,000 units × $35 = $3,500,000

Direct labor cost = 100,000 units × $48 = $4,800,000

Variable manufacturing overhead = 100,000 units × $27 = $2,700,000

Traceable fixed manufacturing overhead = 100,000 units × $35 = $3,500,000

Variable selling expenses = 100,000 units × $32 = $3,200,000

Common fixed expenses = 100,000 units × $30 = $3,000,000

Total cost of producing 100,000 units = $3,500,000 + $4,800,000 + $2,700,000 + $3,500,000 + $3,200,000 + $3,000,000 = $20,700,000

Cost of buying 100,000 units from the supplier = 100,000 units × $160 = $16,000,000

Therefore, the financial advantage or disadvantage can be calculated as:

Financial Advantage = Cost of producing - Cost of buying

Financial Advantage = $20,700,000 - $16,000,000 = $4,700,000

The financial advantage of buying 100,000 units from the supplier instead of making them would be an advantage of $4,700,000.

Similarly, to determine the financial advantage or disadvantage of buying 75,000 units from the supplier instead of making them, we follow the same calculations as in question 9, but with the quantities adjusted accordingly.

Cost of producing 75,000 Alphas:

Direct materials cost = 75,000 units × $35 = $2,625,000

Direct labor cost = 75,000 units × $48 = $3,600,000

Variable manufacturing overhead = 75,000 units × $27 = $2,025,000

Traceable fixed manufacturing overhead = 75,000 units × $35 = $2,625,000

Variable selling expenses = 75,000 units × $32 = $2,400,000

Common fixed expenses = 75,000 units × $30 = $2,250,000

Total cost of producing 75,000 units = $2,625,000 + $3,600,000 + $2,025,000 + $2,625,000 + $2,400,000 + $2,250,000 = $15,525,000

Cost of buying 75,000 units from the supplier = 75,000 units × $160 = $12,000,000

Therefore, the financial advantage or disadvantage can be calculated as:

Financial Advantage = Cost of producing - Cost of buying

Financial Advantage = $15,525,000 - $12,000,000 = $3,525,000

The financial advantage of buying 75,000 units from the supplier instead of making them would be an advantage of $3,525,000.

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For each pair of numbers, determine by what percent the second number is greater than the first. also determine by what percent the first number is less than the second. 15 and 20

Answers

The first number (15) is 25% less than the second number (20).

For the first pair of numbers, 15 and 20, we can determine by what percent the second number is greater than the first by using the formula:
Percent increase = [(New value - Old value)/Old value] x 100
So, for this pair of numbers, we have:
Percent increase = [(20 - 15)/15] x 100 =

[5/15] x 100

= 33.33%
Therefore, the second number (20) is 33.33% greater than the first number (15).
To determine by what percent the first number is less than the second, we can use the same formula, but switch the values:
Percent decrease = [(Old value - New value)/New value] x 100
So, for this pair of numbers, we have:
Percent decrease = [(15 - 20)/20] x 100 =

[-5/20] x 100

= -25%
Therefore, the first number (15) is 25% less than the second number (20).

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What property of an object describes its natural tendency to resist an acceleration?

Answers

In fact, it is the natural tendency of objects to resist changes in their state of motion. This tendency to resist changes in their state of motion is described as inertia. Inertia = the resistance an object has to a change in its state of motion.

Gordon is making a list of forces for his science class. Which of the following should Gordon not list as a force? a mass b gravity c friction d a push or pull

Answers

Answer: mass

Explanation:

Its not a force its mass. We have mass but we arent having mass done to us.

1. A vector of 15 units acts to the left, and a vector of 3 units acts to the right. What is the resultant? ​

Answers

Answer: 12

Explanation:

The resultant vector is  12 unit.

What is addition of two vector?

When two vectors point in the same direction, their sum is equal to the total of their respective magnitudes pointing in the same direction.

When two vectors are pointed in opposite directions, the resultant vector is pointed in the direction of the larger vector and is equal to the difference between their magnitudes.

Here, one vector of 15 unit is acting to the left and another vector of 3 unit acting rightwards. As they are acting in opposite direction, vector summation of two vector will be equal to the value of subs traction of their magnitude.

So, Resultant vector= 15 unit + (-3 unit)

= 15 unit - 3 unit

= 12 unit.

Hence, the resultant vector will be 12 unit.

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What value of resistor R gives the circuit in the figure a time constant of 22 μs ?

Answers

The value of resistor R that gives the circuit in the figure a time constant of 22 μs is 220 Ω.

The circuit that is in the figure is shown below:Given that time constant (RC) = 22 μs. To find the value of resistor R, we need to use the formula for the time constant:

RC = τ, where R is the resistance and C is the capacitance of the circuit.

Rearranging the above formula, we get:R = τ / C

Where τ is the time constant and C is the capacitance of the circuit.

From the figure, the capacitance is given as 0.1 μF

.Substituting the values of τ and C in the above formula, we get:

R = (22 × 10⁻⁶ s) / (0.1 × 10⁻⁶ F)

R = 220 Ω

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A spacecraft of mass 6000 kg lifts off the surface of Jupiter, where the acceleration due to gravity is 25 Newtons per kilogram (25 meters per second squared). What is the weight of the spacecraft on Jupiter?

Answers

Answer:

150000N

Explanation:

Given parameters:

Mass  = 6000kg

Acceleration due to gravity  = 25m/s²

Unknown:

Weight of the spacecraft on Jupiter  = ?

Solution:

Weight is the vertical force on a body;

         Weight = mass x acceleration

     Weight  = 6000 x 25  = 150000N

If the object is accelerating, you should draw the coordinate system such that one of the coordinates is
A. Along the standard x-axis
B. Oriented in any desired direction
C. Parallel to the acceleration
D. Along the standard y-axis

Answers

If the object is accelerating, one should draw the coordinate system such that one of the coordinates is parallel to the acceleration.
The correct answer is option C.

The acceleration is the rate of change of velocity of an object with respect to time. Velocity is a vector quantity that has both magnitude and direction. The magnitude of velocity is called speed while the direction of velocity is called direction. Similarly, acceleration is also a vector quantity that has both magnitude and direction. Therefore, the direction of acceleration is essential to show it in a coordinate system.

If one is trying to show the motion of an object that is accelerating, then it is crucial to select the coordinate system's direction so that the acceleration's direction can be shown. Therefore, one should draw the coordinate system such that one of the coordinates is parallel to the acceleration.

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1. what is the critical angle for a laser beam travel from air to water?

Answers

The critical angle is the angle of incidence in which the angle of refraction is 90 degrees. The critical angle can be calculated using Snell's law:

n1sinθ1 = n2sinθ2

where n1 and n2 are the refractive indices of the two media, and θ1 and θ2 are the angles of incidence and refraction, respectively.

For a laser beam traveling from air (n1 = 1.00) to water (n2 = 1.33), the critical angle can be calculated as:

sinθc = n2/n1 = 1.33/1.00 = 1.33

Since the sine of any angle cannot be greater than 1, the critical angle in this case is greater than 90 degrees and the laser beam will undergo total internal reflection instead of refraction. Therefore, there is no real critical angle in this case.

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Newton's First Law of
Motion

Answers

Answer:

Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force

Answer:

An object in motion will stay in motion unless acted on by an unbalanced force.

An object at rest will stay at rest unless acted on by an unbalanced force.

An object in motion will stay in motion, and an object at rest will stay at rest unless acted on by an unbalanced force

(There are three parts to Newton’s First Law of Motion)

Which of these will always produce a magnetic field?

Answers

Answer:

Technically everything has somewhat of a magnetic field. I guess

¿Una bombilla de 50 vatios transfiere mas energía por unidad de tiempo que una bombilla de 100 vatios?

Does a 50-watt light bulb transfer more energy per unit of time than a 100-watt light bulb?​

Answers

Answer:

yes it does transfer more energy per unit

a women is applying a 50 n force to the lease of her dog at angle of 30 degrees from horizontal. what is the y component of this force?

Answers

Answer:

25

Explanation:

sin(30) = x/50

x = 25

Match each term with its best description.
Metamorphic
rock
Foliation
Burial
metamorphism
Parent rock
?
?
?
?
The original rock before it
metamorphoses.
Parallel alignment of platy
grains.
A rock changed by heat,
pressure, and fluids.
A process that changes
rock because of pressure
with equal intensity from

Answers

Metamorphic rock: A rock changed by heat, pressure, and fluids.

Foliation: Parallel alignment of platy grains.

Burial metamorphism: A process that changes rock because of pressure with equal intensity from all sides.

Parent rock: The original rock before it metamorphoses.

Metamorphic rock: A rock changed by heat, pressure, and fluids. The word metamorphic means change in form. Metamorphic rocks are made by rocks that have been altered in some way. This can happen through heat, pressure, and fluids. Examples of metamorphic rocks include slate, gneiss, and marble.

Foliation: Parallel alignment of platy grains. Foliation is a term used to describe the parallel alignment of platy grains in a metamorphic rock. This is caused by pressure during metamorphism. The platy grains can be minerals like mica or clay.

Burial metamorphism: A process that changes rock because of pressure with equal intensity from all sides. Burial metamorphism is a process that changes rock because of pressure with equal intensity from all sides. This can happen when rocks are buried deep within the earth's crust.

Parent rock: The original rock before it metamorphoses. The parent rock is the original rock before it metamorphoses. This rock is changed into a metamorphic rock through the process of metamorphism.

To summarize, metamorphic rock is a rock that has been changed by heat, pressure, and fluids. Foliation refers to the parallel alignment of platy grains. Burial metamorphism is a process that changes rock because of pressure with equal intensity from all sides. The parent rock is the original rock before it metamorphoses.

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Meteorology Calculate the saturation mixing ratio
(ws) from the following information and/or
graph below.
w = 8 g kg-1 and RH = 20%

Answers

From the information the saturation mixing ratio (ws) is approximately 0.000161 g \(kg^-1\)

To calculate the saturation mixing ratio (ws), we need to use the given information of specific humidity (w) and relative humidity (RH). The saturation mixing ratio represents the maximum amount of water vapor the air can hold at a given temperature.

The formula to calculate ws from w and RH is as follows:

ws = w ÷ (1 - w) × RH ÷ 100

Given:

w = 8 g \(kg^-1\)

RH = 20%

First, we need to convert w from grams per kilogram to a decimal fraction:

w = 8 ÷ 1000 = 0.008

Now we can substitute the values into the formula:

ws = 0.008 ÷ (1 - 0.008) × 20 ÷ 100

Calculating this expression:

ws = 0.008 ÷ 0.992 × 0.20

ws ≈ 0.000161 g \(kg^-1\)

Therefore, the saturation mixing ratio (ws) is approximately 0.000161 g \(kg^-1\).

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An electric iron is connected to the mains power supply of 220 V. When the electric iron is

adjusted at 'minimum heating' it consumes a power of 360 W but at 'maximum heating' it takes a

power of 840 W. Calculate the current and resistance in each case.​

Answers

Answer:

Given: V = 220V, Pmin = 360W, Pmax = 840W

For minimum heating case:

We know that

Pmin = VI

360 = 220 X I

I = 1.63 amp

R = V/I

R = 220/1.63

R = 134.96ohms

For maximum heating case:

We know that

Pmax = VI

840 = 220 X I

I = 3.81 amp

R = V/I

R = 220/3.81

R = 57.74 ohms

A tire has a tread pattern with a crevice every 2.20 cm. Each crevice makes a single vibration as the tire moves. What is the frequency of these vibrations if the car moves at 38.0 m/s

Answers

Answer:

17.27 Hz

Explanation:

Applying

v = λf................ Equation 1

Where v = speed of the car, λ = Distance between successive crevice, f = number of crevice moved in 1 seconds(Frequency of the vibration)

make f the subject of the equation

f = v/λ............. Equation 2

From the question,

Given: v = 38 m/s, λ = 2.2 m

Substitute these values into equation 2

f = 38/2.2

f = 17.27 Hz

determine the amount of work done by the applied force when 106N force is applied to move a 15 KG object a horizontal distance of 4.2 m at a consistent speed.

Answers

The required amount of work is done by the applied force when 106N force is applied to move a 15 KG object at a horizontal distance of 4.2 m at a consistent speed is 445.2 J (joules).

What is work done?

Work done is defined as the project being subjected by force to move certain displacement.

The amount of work done by an applied force is equal to the force times the distance moved in the direction of the force. In this case, the force is 106 N and the distance moved is 4.2 m, so the amount of work done by the applied force can be calculated as follows:

work = force x distance = 106 N x 4.2 m = 445.2 J (joules)

It's important to note that the work done is only equal to the energy transferred to the object if the force is the only force acting on the object and the motion is along a straight line path. If there are other forces acting on the object or the motion is not along a straight line, the calculation of the work done can be more complicated.

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Car B is traveling a distance d ahead of car A. Both cars are traveling at 60 ft/s when the driver of B suddenly applies the brakes, causing his car to decelerate at 12 ft/s. It takes the driver of car A 0.75 s to react (this is the normal reaction time for drivers). When he applies his brakes, I dece lerates at 15 ft/s. Determine the minimum distance d be tween the cars so as to avoid a collision

Answers

The minimum distance 'd' between the cars to avoid a collision is either 45 feet if Car B stops instantly or 645 feet if Car B takes 10 seconds to come to a stop after the driver applies the brakes.

To determine the minimum distance 'd' between the cars to avoid a collision, we need to consider the time it takes for both cars to come to a stop after the driver of Car B applies the brakes.

1. Car B:

  - Initial velocity: 60 ft/s

  - Deceleration: -12 ft/s² (negative because it's decelerating)

  - Time to come to a stop: Unknown, denoted as 'tB'

2. Car A:

  - Initial velocity: 60 ft/s

  - Deceleration: -15 ft/s^2 (negative because it's decelerating)

  - Reaction time: 0.75 s

  - Time to come to a stop: 'tB' + Reaction time

Since both cars come to a stop, we can equate their respective distances traveled to zero using the kinematic equation:

Distance = Initial velocity × Time + 0.5 × Acceleration × Time²

For Car B:

0 = 60 ft/s × tB + 0.5 × (-12 ft/s²) × tB²

Simplifying this equation will give us the time 'tB' for Car B to come to a stop.

For Car A:

0 = 60 ft/s × (tB + 0.75 s) + 0.5 × (-15 ft/s²) × (tB + 0.75 s)²

Simplifying this equation will give us the total time for Car A to come to a stop.

To find the minimum distance 'd' between the cars, we need to determine the value of 'd' when both cars come to a stop simultaneously. This occurs when the total time for Car A to stop is equal to 'tB'. Substitute this value into the equation:

d = 60 ft/s × (tB + 0.75 s)

0 = 60tB - 6tB²

This is a quadratic equation in terms of 'tB'. Rearranging the equation:

6tB² - 60tB = 0

Factor out a common term of 6tB:

6tB(tB - 10) = 0

This equation will be satisfied when either 6tB = 0 or tB - 10 = 0:

1) 6tB = 0

  tB = 0

2) tB - 10 = 0

  tB = 10

We have two possible solutions for 'tB': tB = 0 and tB = 10.

Now let's substitute these values into the equation for 'd' to find the minimum distance:

For tB = 0:

d = 60 ft/s × (0 + 0.75 s) = 45 ft

For tB = 10:

d = 60 ft/s × (10 + 0.75 s) = 645 ft

Therefore, the minimum distance 'd' between the cars to avoid a collision is 45 feet when Car B stops instantly, or 645 feet when Car B takes 10 seconds to stop.

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What relationship appears to exist between solar radiation and the average temperature at the chosen location on Earth?

Answers

Answer:

The direct solar radiation can increase the temperature making that area warmer.

Explanation:

Hope that helps

Answer:

As solar radiation increases, so does the average temperature.

Explanation:

This is what it says on plato.

The current in a single-loop circuit with one resistance R is 3.8 A. When an additional resistance of 2.0 Ω is inserted in series with R, the current drops to 2.8 A. What is R??

Answers

We can use Ohm's Law to solve this problem. Ohm's Law states that the current (I) through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) between them. Mathematically, Ohm's Law can be expressed as:

I = V/R

We are given the current (I) for two different circuit configurations: I1 = 3.8 A for the original circuit with resistance R, and I2 = 2.8 A for the circuit with resistance R + 2 Ω. Let's use these values to solve for R.

From Ohm's Law, we know that:

I1 = V/R

Rearranging this equation, we get:

V = I1 * R

Similarly, for the second circuit configuration, we have:

I2 = V/(R + 2)

Rearranging this equation, we get:

V = I2 * (R + 2)

Since the voltage (V) is the same in both circuits (it's the voltage supplied by the battery or power source), we can equate the two expressions for V:

I1 * R = I2 * (R + 2)

Expanding this equation, we get:

I1 * R = I2 * R + 2 * I2

Solving for R, we get:

R = 2 * I2 / (I1 - I2)

Substituting the given values, we get:

R = 2 * 2.8 A / (3.8 A - 2.8 A) = 5.6 Ω

Therefore, the value of R is 5.6 Ω.

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When a system fails it _____ our other systems causing us to be sick.
A. connects
B. repairs
C. affects
D. structures

Answers

Answer:

c) affects

Explanation:

im like 90% sure

The voltage in a circuit is 24 v and the current is 0.05 a. what's the power in this circuit? a circuit has a resistance of 100 ω and a current of 2 a. what's the power of this circuit?

Answers

Answer: 1.2 watt , 400 watt

Explanation:

1. The formula for calculating Power when voltage and current are given:

\(P = V^{2} /R\)

Now, to find R (resistance) we use the values that are given and get;

\(R = \frac{V}{I}\) =  24/0.05 = 480 ohms

So, the Power of this circuit is :

P = (24)^2 / 480 = 1.2 Watt

2. The formula for calculating Power when current and resistance are given:

\(P = I^{2} *R\)

Using the values given we get;

P = (2)^2*100 = 400 Watt

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A gust of wind blows an apple from a tree. As the apple falls, the force of gravity on the apple is 9.11 N downward, and the force of the wind on the apple is 1.18 N to the right. What is the magnitude of the net external force on the apple? Answer in units of N. Part 2: What is the direction of the net external force on the apple (measured from the downward vertical, so that the angle to the right of downward is positive)? Answer in units of ◦

Answers

Answer:

The net external force on the apple is 9.18 N and the direction of net force is 82.6°.

Explanation:

Given that,

Force of gravity = 9.11 N

Force of wind = 1.18 N

We need to calculate the net external force on the apple

Using formula of net force

\(F'=\sqrt{(9.11)^2+(1.18)^2+2\times1.18\times9.11\cos90}\)

\(F'=9.18\ N\)

We need to calculate the direction of net force

Using formula of direction

\(\theta=\tan^{-1}(\dfrac{9.11}{1.18})\)

\(\theta=82.6^{\circ}\)

Hence, The net external force on the apple is 9.18 N and the direction of net force is 82.6°.

A gust of wind blows an apple from a tree. As the apple falls, the force of gravity on the apple is 9.11

The magnitude of the net external force on the apple is 9.19 N and the direction of the net external force is 82.6⁰.

The given parameters;

weight of the apple, W = 9.11 Nhorizontal force on the apple, F = 1.18 N

The magnitude of the net external force on the apple is calculated as follows;

\(F= \sqrt{F_y^2 + F_x^2} \\\\F= \sqrt{9.11^2 + 1.18^2} \\\\F = 9.19 \ N\)

The direction of the net external force on the apple is calculated as follows;

\(\theta = tan^{-1}(\frac{F_y}{F_x} )\\\\\theta = tan^{-1}(\frac{9.11}{1.18} )\\\\\theta = 82.6 \ ^0\)

Thus, the magnitude of the net external force on the apple is 9.19 N and the direction of the net external force is 82.6⁰.

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It is B.) Convention

A student is building a model of a lift that would move heavy boxes onto a truck. She wants to make a simple machine at 1/10 thscale that can lift objects up to 3.4 kg. The model machine outputs up to 200 J of energy when functioning at maximum capacity. If the maximum height to lift an object is 0.3 m, which statement describes the amount of heat generated when the machine functions at maximum capacity

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The amount of heat generated when the machine functions at maximum capacity is 200 J. The amount of heat generated is equal to the work done, as per the conservation of energy principle.

In this scenario, the machine is performing work by lifting objects to a certain height. The work done is equal to the product of the force applied and the distance over which the force is applied. In this case, the work done is given by:

Work = Force × Distance

The force can be calculated using the formula:

Force = Mass × Acceleration

Given that the mass to be lifted is 3.4 kg and the height is 0.3 m, we can calculate the force:

Force = 3.4 kg × 9.8 m/s² (acceleration due to gravity)

≈ 33.32 N

Now, we can calculate the work done:

Work = Force × Distance

= 33.32 N × 0.3 m

= 9.996 J

The amount of heat generated is equal to the work done, as per the conservation of energy principle. Therefore, the heat generated when the machine functions at maximum capacity is 9.996 J, which can be rounded to 10 J.

However, it's worth noting that the given maximum capacity of the model machine is 200 J. This suggests that the machine might have some inefficiencies or losses, resulting in a larger amount of energy being expended in the form of heat compared to the actual work done on the object being lifted.

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A rope that makes a 15° angle with the
horizontal pulls a block weighing 3 Na
distance of 10 meters to the right at a
constant velocity. The tension in the rope
is a 2 N force. How much work is done
by the rope acting on the block in the
horizontal directi on? Let F, be the
tension in the rope and Ax be the
3. displacement in the x-direction.

A. 28.98 J
B. 20 J
C. 189.34 J
D. 19.32 J

Answers

Answer:

Explanation:

d

Which of the following components of granite are more resistant to chemical weathering?a. quartzb. potassium feldsparc. Potassium feldspar and quartz are equally resistant to chemical weathering

Answers

Quartz is more resistant to chemical weathering compared to potassium feldspar. Chemical weathering refers to the breakdown of minerals in rocks through reactions with water, air, and other chemicals present in the environment. The correct option is a.

Quartz, a common component of granite, is composed of silicon and oxygen, forming a highly stable crystalline structure that is highly resistant to chemical reactions. Its stability comes from the strong covalent bonds between its atoms, making it less susceptible to chemical weathering processes like hydrolysis, oxidation, and dissolution.

On the other hand, potassium feldspar is more susceptible to chemical weathering. It is an aluminum silicate mineral containing potassium and has a less stable structure compared to quartz. The primary reason for its higher susceptibility to chemical weathering is the presence of aluminum and potassium ions, which are more reactive.

This reactivity allows potassium feldspar to undergo hydrolysis, a process in which water molecules break the mineral's bonds, resulting in the formation of clay minerals and soluble salts. The soluble salts are then removed through leaching, further contributing to the breakdown of the mineral.

In summary, quartz is more resistant to chemical weathering than potassium feldspar due to its stable crystalline structure and strong covalent bonds between atoms, which make it less reactive to environmental factors. Potassium feldspar, with its more reactive aluminum and potassium ions, is more prone to chemical weathering processes like hydrolysis and leaching.

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