When adding the components of a vector, the resultant magnitude is always the sum of the two component magnitudes.
True or false?

There are multiple questions in your prompt, so let's break them down one by one.

How much gravitational potential energy does the goat gain?

The gravitational potential energy gained by the goat can be calculated using the formula:

GPE = mgh

where m is the mass of the goat, g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the cliff.

Substituting the given values, we get:

GPE = 50 kg x 9.8 m/s^2 x 450 m

GPE = 220500 J

Therefore, the goat gains 220500 J of gravitational potential energy.

How much gravitational potential energy does Evan gain?

The gravitational potential energy gained by Evan can be calculated using the same formula as above:

GPE = mgh

where m is the mass of Evan (including his parachute gear), g is the acceleration due to gravity, and h is the height of the jump.

Substituting the given values, we get:

GPE = 90 kg x 9.8 m/s^2 x 2.0 m

GPE = 1764 J

Therefore, Evan gains 1764 J of gravitational potential energy.

How much kinetic energy does the goat have just before it hits the ground?

The conservation of energy principle tells us that the total energy of the system (in this case, the goat) remains constant. So, the kinetic energy gained by the goat just before it hits the ground is equal to the gravitational potential energy it had at the top of the cliff. Therefore, the kinetic energy of the goat just before it hits the ground is:

KE = GPE = 220500 J

Note that we have assumed that there is no loss of energy due to air resistance or other factors during the goat's fall.

How much GPE does Evan gain given: h = 2.0 m

We have already calculated the gravitational potential energy gained by Evan earlier. Using the same formula, we get:

GPE = mgh

GPE = 90 kg x 9.8 m/s^2 x 2.0 m

GPE = 1764 J

What is the kinetic energy of the aircraft at a height of 5000.00 m?

We cannot calculate the kinetic energy of the aircraft with the given information. The kinetic energy of an object depends on its mass and velocity, but we only have information about its height. If we assume that the aircraft is stationary at a height of 5000.00 m, then its kinetic energy would be zero.

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The driver will not collide with deer, given that the reaction time is 0.50 seconds.

To determine if the driver will collide with deer or not, we shall determine the distance travelled by the car during the given time. Details below

s = ut + 1/2at²

s = (28 × 0.50) + (1/2 × 6 × 0.50²)

s = 14 + (3 × 0.25)

s = 14 + 0.75

s = 14.75 m

From the calculation made above, we can see that the distance travelled by the driver during the given time is 14.75 m.

Thus, we can conclude that the driver will not collide with the deer since the raection time only move the driver 14.75 m and the deer is 80 m away.

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Answer:

e:10 m   b: -5 m/s b.The object decreases its velocity.

Explanation:

The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.

The p-waves travel with a constant velocity of 7 km/s

The time can be calculated by using the formula

t = d / v

where

T1 =  10:05 a.m

d is the distance they take to travel from the epicenter

v is the speed of the p-waves

On average, the speed of p-waves is

v = 7 km/s

d = 5600 km (given)

Substituting the values in the formula;

t = d / v

t = 5600 ÷ 7

t = 800 seconds

Converting into minutes,

t = 800 ÷ 60

t = 13.3

≈ 13 mins

T1 -  13 mins = T2

10:05 - 13 mins = 9.52 am

It means the earthquake occurred prior 13 minutes, that is at 9.52 am.

Therefore, the earthquake occurred at 9.52 am.

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The magnitude of the average impulsive force imparted to the ball if it is in contact with the bat is 6000 N

The mass of the baseball, m = 0.15 kg

The speed at which it moves, v = 30 m/s

Time at which the baseball was in contact with the bat, t = 0.75 ms

t = 0.75/1000 s

t  = 0.00075 s

The impulsive force is given by the formula:

\(F=\frac{mv}{t}\)

Substitute m = 0.15 kg, v = 30, and t = 0.00075s into the formula above:

\(F=\frac{0.15 \times 30}{0.00075} \\\\F=6000N\)

The magnitude of the average impulsive force imparted to the ball if it is in contact with the bat is 6000 N

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Answer:

We are given:

initial velocity (u) = 0 m/s

final velocity (v) = 10 m/s

displacement (s) = 20 m

acceleration (a) = a m/s/s

Solving for 'a'

From the third equation of motion:

v² - u² = 2as

replacing the variables

(10)² - (0)² = 2(a)(20)

100 = 40a

a = 100 / 40

a = 2.5 m/s²

In order to determine which of the two solutions of salt water is more concentrated, we need to first understand what concentration means and how it is measured. Concentration refers to the amount of solute dissolved in a given amount of solvent. It is typically measured in units of mass per volume, such as grams per liter (g/L) or milligrams per milliliter (mg/mL). so The second solution is more concentrated

When comparing the concentration of two solutions, the one with a higher concentration has more solute dissolved in the same amount of solvent. Therefore, in the picture provided, we can determine which solution is more concentrated by looking at the relative amounts of solute in each solution.If the solutions have the same concentration, then they must have the same amount of solute dissolved in the same amount of solvent. From the picture, we can see that both solutions are in the same size container and have the same amount of solvent (water) in them. Therefore, we can conclude that they have the same concentration of salt.The amount of solute dissolved in a solution can be increased by either adding more solute or by reducing the amount of solvent. If we were to add more salt to one of the solutions, we would increase the concentration of that solution. Alternatively, if we were to evaporate some of the water from one of the solutions, we would reduce the amount of solvent and increase the concentration of that solution.

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Answer:

balanced forces

The electron configuration of an element with atomic number 15 is 3s² 3p⁵.

The electron configuration of an element with atomic number 15 (which corresponds to the element phosphorus) can be determined by following the Aufbau principle and the Pauli exclusion principle. The Aufbau principle states that electrons occupy the lowest energy levels available, while the Pauli exclusion principle states that each orbital can hold at most two electrons with opposite spins.

Starting with the first energy level, we fill in the electrons for each subsequent energy level until we reach the 15 electrons of phosphorus: 1s² 2s² 2p⁶ 3s² 3p⁵

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Answer:

Explanation:

T = 2π\(\sqrt{L/g}\)

(T / 2π)² = L/g

g = 4π²L/T²

g = 4π²(0.75000)/(1.7357)²

g = 9.82814766...

g = 9.8281 m/s²

Answer:

The object appears larger

Explanation:

B

Explanation:





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Class 11

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>>State Newton's formula for the velocity

Question



State Newton's formula for the velocity of sound in a gas. What is the Laplace's correction?

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Updated on : 2022-09-05

Solution



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According to Newton, velocity of sound in any medium is given by v=pE where E is the modulus of elasticity and p is the density of the medium.

For gases E = B, bulk modulus

∴v=pB.............(1)

When sound waves travel through a gas alternate compressions and rarefactions are produced. At the compression region pressure increases and volume decreases and at the rerefaction region pressure decreases and volume increases. Newton assumed that these changes take place under isothermal conditions i.e., at a constant temperature.

Under isothermal condition, B = P, pressure of the gas.

∴ In (1) v=pP.............(2)

This is Newton's formula for velocity of sound in gas.

For air at NTP, P=101.3 kPa and p=1.293 kgm−3

Substituting the values of P and p in, equation (1) we get v = 280 m/s. This is much lower than the experimental value of 332 m/s. Thus Newton's formula is discarded.Laplace's correction:

According to Laplace, in a compressed region temperature increases and in a rarefied region it decreases and these changes take place rapidly. Since air is an insulator, there is no conduction of heat. Thus changes are not isothermal but adiabatic.

Under adiabatic condition, B=y P, where y is the ratio of specific heats of the gas.

Substituting in equation (1) v=pγP

The above equation is called Newton - Laplace's equation

Sunstituting the values of P, p and y in the above equation, give the velocity of sound in air at NTP to be about 331 m/s. This is in close agreement with the experimental value.

The component of the weight of the box perpendicular to the incline is mg cos 12. = 335.5 N. The normal reaction force acting on the box is 335.5- 78.2 = 257.3 N.

Answer:

See below

Explanation:

You will need to know the mass of the box......you did not give it in your post.

   Part of the 185 N will decrease the normal force ....this will decrease the frictional forces.      Part of the 185 N will act up the incline....this force less the frictional forces will accelerate the box up the incline according to

                  F = ma....but mass is not given.

Answer:

100kg

Explanation:

100kg=100kg

:P

Answer: 50 because thats the mass weight

Explanation: Its the obviouse answer.

A 20 year old biology student has been working in a nightclub as a DJ to earn money to pay for her education. After several months, she notices that she is having problems hearing high-pitched tones therefore the following which is most probable is that she is experiencing symptoms of perforated eardrum which is denoted as option A.

This is referred to as a thin flap of skin that stretches tight like a drum and vibrates when sound hits it.

It can be damaged when an individual is exposed to constant loud sounds and in this scenario we were told she worked in a nightclub which may be as a result of the loud music and is characterized by hearing loss therefore she has problems hearing high-pitched tones.

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The full question:

A 20 year old biology student has been working in a nightclub as a DJ to earn money to pay for her education. After several months, she notices that she is having problems hearing high-pitched tones. Which of the following is most probable?

A. She is experiencing symptoms from a perforated eardrum. B. She is experiencing symptoms from otitis media. C. She is experiencing symptoms from damage to structures in the inner ear. D. She is experiencing symptoms of otosclerosis. E. What she is experiencing is quite normal and she should not worry about it.

The vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.

The given vector can be normalized before being multiplied by the desired magnitude. This is how to locate the vector:

The vector that has been provided should be normalized by dividing each of its components by its magnitude. The Pythagorean theorem can be used to determine the magnitude of the vector 4i - 3j + k:

Magnitude = √(4² + (-3)² + 1²) = √(16 + 9 + 1) = √26

Normalize the vector by dividing each component by the magnitude:

Normalized vector = (4/√26)i + (-3/√26)j + (1/√26)k

Multiply the normalized vector by the desired magnitude:

To obtain a vector with a magnitude of 5, multiply each component of the normalized vector by 5:

Desired vector = 5 * ((4/√26)i + (-3/√26)j + (1/√26)k)

Simplifying the expression gives:

Desired vector ≈ (20/√26)i + (-15/√26)j + (5/√26)k

So, the vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.

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Regular exercise and physical activity is responsible for strong muscles and bones.

Exercise and physical activity improves respiratory, cardiovascular, and overall health of an individual. Staying active can help in maintaining a healthy weight, reduce your risk of diabetes, heart disease, and reduce risk for cancers so we can conclude that regular exercise and physical activity is responsible for strong muscles and bones.

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Given the force applied, the magnitude of the force of friction acting on the mass is 2.5 Newton

Given the data in the question;

To determine the magnitude of the force of friction acting on the mass,

From Newton's laws of motion

\(F = m\ *\ a\)

Where F is the force applied, m is the mass of the object and a is the acceleration of the object.

Now, we know that Kinetic Friction is always opposite of the direction of motion.

So, in the question, the force applied overcomes the friction to produce an acceleration of \(1.5 m/s^2\)

Hence

\(F = F_k + ma\)

Where \(F_k\) is the kinetic friction

Now, we substitute our given values into the equation

\(10N = F_k +\ ( 5kg\ *\ 1.5m/s^2)\\\\10N = F_k +\ 7.5kg.m/s^2\)

We know that, A newton is defined as \(1 kg.m/s^2\)

Hence;

\(10N = F_k\ *\ 7.5N\\\\F_k = 10N \ -\ 7.5N\\\\F_k = 2.5N\)

Therefore, given the force applied, the magnitude of the force of friction acting on the mass is 2.5 Newton.

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Answer:

Antarctica is a desert. It does not rain or snow a lot there. When it snows, the snow does not melt and builds up over many years to make large, thick sheets of ice, called ice sheets. Antarctica is made up of lots of ice in the form of glaciers, ice shelves and icebergs.

Answer: -0.10m/s

Explanation:

khan academy

A chemical rocket may launch a satellite into a Hohmann transfer orbit and maintain it there until it reaches the farthest point in the orbit by performing two very powerful burns.

They would have perished if they had been in a Hohmann transfer orbit, which would have taken around 4 weeks to return to.

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Answer:

Velocity Has vector Quantity

Answer: 145 km/hr

Explanation:

Answer:

cobina

Explanation:

me 2

Answer:

Tension

Explanation:

Answer:

The answer is Less.

Explanation:

The further you are away from a light source, the less intense the light appears.

When paired with copper, the metal plate that will produce a higher voltage is a) Calcium.

The voltage produced in a battery is related to the difference in electron affinity between the two metals used as electrodes. A greater difference in electron affinity results in a higher voltage.

In this case, the electron affinity of copper is +0.34 eV. Among the given options, calcium has the highest electron affinity with -2.87 eV. The difference between the electron affinities of copper and calcium is the greatest among the options, indicating a larger potential difference and thus a higher voltage when paired together.

Therefore, when paired with copper, the calcium plate will produce a higher voltage compared to zinc, lead, or another copper plate. Therefore, Option a is correct.

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The question was incomplete. find the full content below:

A physical science student is building a battery with two metal plates. The table below shows a list of

metals and their electron affinity given in electron volts, eV.

Metal Electron Affinity (electron volts, eV)

Calcium - 2.87

Zinc

-0.76

Lead -0.13

Copper +0.34

The student has a copper plate. When paired with copper, which metal plate will produce a higher

voltage?

A. Calcium

B. Zinc

C. Lead

D. Copper

Sound waves are a type of mechanical wave that propagate through a medium, typically air but also other materials such as water or solids.

Frequency: the frequency of a sound wave refers to the number of cycles or vibrations it completes per second and is measured in Hertz (Hz).

Amplitude: the amplitude of a sound wave refers to the maximum displacement or intensity of the wave from its equilibrium position. It represents the loudness or volume of the sound, with larger amplitudes corresponding to louder sounds and smaller amplitudes corresponding to softer sounds.

Wavelength: the wavelength of a sound wave is the distance between two consecutive points in the wave that are in phase, such as from one peak to the next or one trough to the next. It is inversely related to the frequency of the wave.

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