A small box of mass m is kicked up an inclined plane with an initial velocity v, and slides up the incline a distance L before it stops. The inclined plane makes an angle a with the horizontal, and the friction coefficient is u. What is the distance L the box slides up the ramp before it stops? (Hint: The known quantities are the mass, the initial speed, the angle, the coefficient of friction, and the acceleration of gravity:{m, Vo, a,u,9). Solve for the distance L in terms of these quantities.)

The magnitude of object's acceleration is 3.26m/s².

The mass of the body is 4.10 lg.

The two forces that are acting on the object are F₁ = -6i + 7.9j newton and F₂ = 6.8i + 5.3j Newton.

We know that the force acting on an object is,

F = Ma

Where,

F is the force acting,

M is the mass of the object and,

a is the acceleration of the object.

As we can see, two forces are acting on the body,

We can simplify the forces in x direction and y direction,

The forces are  F₁ = -6i + 7.9j N and F₂ = 6.8i + 5.3j N.

So, the total force in x-direction,

Fₓ = (-6+6.8)i

Fₓ = 0.8i

Fᵧ = (7.9+5.3)j

Fᵧ = 13.2j

So, the net force Fₙ on the object is Fₙ = (0.8i + 13.2j) N

Now, putting value of force and mass in the formula,

F = Ma

0.8i + 13.2j = 4.1a

a = 0.19i + 3.21j m/s².

The magnitude of acceleration is,

|a| = √[(0.19)²+(3.21)²]

|a| = 0.361 +10.3

|a| = 3.26m/s².

So, the magnitude of acceleration is 3.26m/s².

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Hope this answer helps you

Answer:

a) y = 127.6 m, b) 11.9s,  c)  v = 103.6  m / s, θ’= 326.7º

Explanation:

This is a missile throwing exercise

let's start by breaking down the initial velocity

         sin 30 = \(\frac{v_{oy} }{v_o}\)

         cos 30 = v₀ₓ / v₀

         v_{oy} = v₀ go sin 30

         v₀ₓ = v₀ cos 30

         v_{oy} = 100 sin 30 = 50 m / s

         v₀ₓ = 100 cos 30 = 86.6 m / s

a) the maximum height is requested.

At this point the vertical velocity is zero (v_y = 0)

         v_y² = \(v_{oy}^2\) - 2 g y

         0 = v_{oy}^2 - 2g y

         y = \(\frac{v_{oy}^2 }{2g}\)

         y = 50² / (2  9.8)

         y = 127.6 m

b) Flight time

this is the time it takes to reach the ground, the reference system for this movement is taken on the ground this is a height of y = 0 m and the body is at an initial height of i = 100m

         y = y₀ + v₀ t - ½ g t²

       0 = 100 + 50 t - ½ 9.8 t²

we solve the quadratic equation

        4.9 t² - 50 t - 100 = 0

         t = \(\frac{50 \pm \sqrt{50^2 + 4 \ 4.9 \ 100} }{2 \ 4.9}\)

         t = \(\frac{50 \ \pm \ 66.8}{9.8}\)

         t₁ = 11.9 s

         t₂ = -8.4 s

flight time is 11.9s

c) The time 1 s before hitting the ground is

        t1 = 11.9 -1

        t1 = 10.9 s

let's find the vertical speed

       v_y =\(v_{oy}\) - g t

       v_y = 50 - 9.8 10.9

       v_y = -56.8 m / s

the negative sign indicates that the direction of the velocity is downward.

On the x-axis there is no acceleration therefore the speed is constant.

Let's use the Pythagorean theorem

        v = \(\sqrt{v_x^2+v_y^2}\)

        v = \(\sqrt { 86.6^2 + 56.8^2}\)

        v = 103.6  m / s

let's use trigonometry

        tan θ = \(\frac{v_y}{v_x}\)

        θ = tan⁻¹  \frac{v_y}{v_x}

        θ = tan⁻¹  (-56.8 / 86.60)

        θ = -33.3º

the negative sign indicates that it is measured clockwise from the x-axis

for a counterclockwise measurement

          θ’= 360 - θ

          θ' = 360 - 33.3

          θ’= 326.7º

According to Doerbecker and Ernst (1996) and Francart et al. (2011), interaural time difference (ITD) and interaural level difference (ILD) are the two primary auditory cues used by binaural hearing. The delay between each ear is known as ITD.

What technique best localizes sound between the two ears?

Rayleigh's view of horizontal sound localization has come to be known as the “duplex” theory: that sound localization at low frequencies relies on differences in phase at the two ears, or ITDs, and that high-frequency localization relies on interaural differences in sound level (ILDs).

What two variables affect sound localization?

The variation in the loudness of the sound in each ear and the time it took for the sound to reach each ear are two elements that affect how the sound is localized.

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Answer:

1.8*10^4 Joules

Explanation:

Given data

Voltage= 6volts

Q= 3000 C

We know that the energy due to a point charge is

Pe= QV

substitute

Pe= 3000*6

Pe=18000

Pe= 18000Joules

Pe= 1.8*10^4 Joules

Answer:

After 80 years there will be 3 g of element X remaining

Explanation:

Given;

the half life of element X = 20 year

initial mass of element X = 48 g

a) How much is there after 80 years

0 year --------------------------> 48 g

20 years -----------------------> (48g / 2) = 24 g

40 years ------------------------> 12 g

60 years ------------------------> 6 g

80 years --------------------------> 3 g

Therefore, after 80 years there will be 3 g of element X remaining.

The initial temperature of the forging is approximately 1,090.42°C.

To determine the initial temperature of the forging, we can use the principle of conservation of energy. The heat lost by the forging is equal to the heat gained by the oil during the quenching process.

The heat lost by the forging can be calculated using the formula:

Q_lost = m_forging * c_forging * (T_forging_initial - T_equilibrium)

where:

- Q_lost is the heat lost by the forging

- m_forging is the mass of the forging (90.8 kg)

- c_forging is the specific heat capacity of the forging (434 J/(kg C°))

- T_forging_initial is the initial temperature of the forging (unknown)

- T_equilibrium is the final temperature of the oil and forging at thermal equilibrium (58.9°C)

The heat gained by the oil can be calculated using the formula:

Q_gained = m_oil * c_oil * (T_equilibrium - T_oil_initial)

where:

- Q_gained is the heat gained by the oil

- m_oil is the mass of the oil (689 kg)

- c_oil is the specific heat capacity of the oil (2680 J/(kg C°))

- T_oil_initial is the initial temperature of the oil (38.3°C)

Since the heat lost by the forging is equal to the heat gained by the oil, we can set up the following equation:

m_forging * c_forging * (T_forging_initial - T_equilibrium) = m_oil * c_oil * (T_equilibrium - T_oil_initial)

Plugging in the given values, we can solve for T_forging_initial:

90.8 kg * 434 J/(kg C°) * (T_forging_initial - 58.9°C) = 689 kg * 2680 J/(kg C°) * (58.9°C - 38.3°C)

Simplifying the equation:

90.8 * 434 * (T_forging_initial - 58.9) = 689 * 2680 * (58.9 - 38.3)

Solving for T_forging_initial:

T_forging_initial - 58.9 = (689 * 2680 * (58.9 - 38.3)) / (90.8 * 434)

T_forging_initial = 58.9 + (689 * 2680 * (58.9 - 38.3)) / (90.8 * 434)

Calculating the value:

T_forging_initial ≈ 1,090.42°C

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The amount of heat rejected by a heat pump to the high-temperature reservoir will always be greater than the amount of heat absorbed from the low-temperature reservoir. The statement is true.

A heat pump is a device that uses a refrigeration cycle to transfer thermal energy from the outside to heat a building. Many heat pumps can also be used to cool a building by removing heat from the enclosed space and rejecting it outside.

Given the statement, the amount of heat rejected by a heat pump to the high-temperature reservoir will always be greater than the amount of heat absorbed from the low-temperature reservoir is true.

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Answer:

2.74 × 10^33 J

Explanation:

the formula to calculate kinetic energy is:

1/2mv²

m= mass (kg)

v= velocity (m/s)

given that,

m = 5.97 × 10^24

v = 30.29 km s-1

  = 30290 m s-1

1/2× 5.97 × 10^24 × 30290²

=2.74 × 10^33 J

Answer:

\(\boxed {\boxed {\sf a \approx 0.4 \ m/s^2}}\)

Explanation:

According to Newton's Second Law of Motion, force is the product of mass and acceleration.

\(F= m \times a\)

The net force is 5 Newtons and the mass is 13 kilograms. Let's convert the units for force to make the problem and unit cancellation easier.

Now we know the values for 2 variables:

Substitute the values into the formula.

\(5 \ kg *m/s^2 = 13 \ kg * a\)

Since we are solving for the accleration we must isolate the variable, a. It is being multiplied by 13 kilograms and the inverse of multiplication is division. Divide both sides by 13 kg

\(\frac {5 \ kg *m/s^2}{13 \ kg}= \frac{ 13 \ kg *a}{13 \ kg}\)

\(\frac {5 \ kg *m/s^2}{13 \ kg}=a\)

The units of kilograms (kg) cancel.

\(\frac {5 m/s^2}{13 }=a\)

\(0.384615385\ m/s^2=a\)

The original measurements of force and mass ( 5 and 13) have 1 and 2 significant figures. We must round our answer to the least number of sig figs: 1.

For the number we found, that is the tenths place. The 8 in the hundredth place (0.384615385) tells us to round the 3 up to a 4.

\(0.4 \ m/s^2 \approx a\)

The acceleration is approximately 0.4 meters per square second.

The main goal of a student bullying survey is to identify and quantify many aspects, including rates of bullying, student and staff attitudes towards bullying, the types of bullying, and more in order to tackle them.

Over 70% of young people say they have witnessed bullying take place in their school, according to StopBullying.gov, a website run by the U.S. Department of Health & Human Services. Nearly 50% of students in grades 4 through 12 reported experiencing bullying in a given month.

The two most prevalent kinds of bullying are verbal and social, which can take the form of name-calling, mocking, rumours, property theft, sexual comments and gestures, or even physical assault.

Social bullying occurs more frequently than physical bullying, and cyberbullying, while it is on the rise, is still less common.

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Answer:

1-1=0

Explanation:

ahriqqwertyuioo

Answer:

i think i am late but b is 3

Explanation:

Answer:

Rayleigh scattering

Explanation:

The blue color of the sky is due to a phenomenon called Rayleigh scattering. When sunlight enters the Earth's atmosphere, the shorter blue wavelengths of light are scattered more than the other colors by the tiny molecules of nitrogen and oxygen in the air. This causes the blue light to be redirected in many different directions, making the sky appear blue to our eyes. The other colors of light are scattered as well, but to a lesser extent, which is why the sky appears blue instead of a mixture of all colors. This effect is also the reason why the sun appears more yellow, orange or red during sunrise or sunset, when its light has to travel through more of the Earth's atmosphere before reaching our eyes, causing the shorter blue wavelengths to be scattered even more, leaving behind the longer wavelengths of light.

Answer:

The correct answer is option A: 3.00 × 10^(-11) m.

Explanation:

To find the wavelength of a gamma ray with a frequency of about 10^19 s^(-1), we can use the equation:

wavelength = speed of light / frequency

Given:

Speed of light (c) = 3.00 × 10^8 m/s

Frequency (f) = 10^19 s^(-1)

Substituting the values into the equation:

wavelength = (3.00 × 10^8 m/s) / (10^19 s^(-1))

To simplify the expression, we can rewrite the denominator as (1 / 10^(-19)) s:

wavelength = (3.00 × 10^8 m/s) / (1 / 10^(-19)) s

To divide by a fraction, we multiply by its reciprocal:

wavelength = (3.00 × 10^8 m/s) × (10^(-19) s)

Applying the properties of exponents, we can add the exponents when multiplying with the same base:

wavelength = 3.00 × 10^(-11) m

Therefore, the wavelength of the gamma ray is approximately 3.00 × 10^(-11) m.

Answer:

The vertical component of the velocity can be found using the formula:

V₀y = V₀ * sin(θ)

where V₀ is the initial velocity, θ is the angle of projection, and V₀y is the vertical component of the velocity.

Substituting the given values, we have:

V₀y = 48 * sin(53°)

Using a calculator, we can evaluate sin(53°) to be approximately 0.799:

V₀y = 48 * 0.799

V₀y ≈ 38.352

Therefore, the vertical component of the velocity with which the ball was launched is approximately 38 meters/second, which corresponds to option B.

Answer:

B.) 38 meters/second

Explanation:

Answer:

Photovoltaic detection is a technique that converts light into electrical energy. It is a process that involves the use of a photovoltaic cell, which is made up of semiconductor materials, to generate an electric current when exposed to light.

The photovoltaic cell absorbs the photons of light, which then knock electrons out of their orbits, creating a flow of electricity. The amount of electricity produced is proportional to the intensity of the light. The photovoltaic cell is commonly used in solar panels to generate electricity from sunlight. The efficiency of the photovoltaic cell is dependent on several factors, including the type of semiconductor material used, the purity of the material, and the thickness of the cell.

The photovoltaic cell has many applications, including in solar power generation, telecommunications, and remote sensing. The technique of photovoltaic detection is an important area of research, as it has the potential to provide a clean and renewable source of energy that can help mitigate climate change.

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A 200 g hockey puck is launched up a metal ramp that is inclined at a 30° angle. The coefficients of static and kinetic friction between the hockey puck and the metal ramp are μs = 0.40 and μk = 0.30, respectively. The puck's initial speed is 3.8 m/s, Speed it will have when it slides back down to its starting point is 2.36 m/s

The resistance to motion of one object moving in relation to another is known as friction. It is not regarded as a fundamental force like gravity or electromagnetic, according to the International Journal of Parallel, Emergent and Distributed Systems(opens in new tab). The electromagnetic attraction between charged particles in two contacting surfaces, according to scientists, is what causes it.

using work energy theorem ,

change in kinetic energy = work done by frictional force

\(\frac{1}{2}\) m(\(x^{2}\)-\(y^{2}\)) =  μmghcos30°

where mass is m=200g

x is speed with which it slides back

y is speed at top of metal ramp=3.8 m/s

μ is coefficient of kinetic friction=0.3

g is gravity = 9.8m/\(s^{2}\)

h is height to which hockey puck is reached on metal ramp=1.18m

Substituting the values and solving for speed x,

x=2.36m/s

speed  it will have when it slides back down to its starting point is 2.36m/s

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Answer:-7.5

Explanation:

i just did it

The output current for the given step down transformer is 30A.

What is the step down transformer?

A step down transformer is a passive device that converts high voltage power to low voltage power, while the output current is higher than the  input current. They are used in power adaptors and rectifiers to decrease the voltage to the desired level. It works according to Faraday's law of Electromagnetic induction.

The current in the windings of a step down transformer is inversely proportional to the voltage in windings as:

Input voltage / Output voltage = Output current / Input current

220 / 110 = Outout current / 15

Output current = 30A

Hence, the output current (30A) obtained is higher than the given input current (15A).

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Answer:

0.69 m/s²

Explanation:

Acceleration is change in velocity over change in time which can be expressed as:

\(\displaystyle{a = \dfrac{\Delta v}{\Delta t} = \dfrac{v_2-v_1}{t_2-t_1}}\)

In this case, \(v_2\) is final velocity which is 45 m/s and \(v_1\) is 0 m/s because it's said that the train moves from rest meaning the initial velocity is 0 m/s. \(t_2\) is final time which is 65 seconds and the initial time is 0 second. Therefore:

\(\displaystyle{a = \dfrac{45-0}{65-0}}\\\\\displaystyle{a=\dfrac{45}{65}}\\\\\displaystyle{a=0.69 \ \: \text{m/s}^2}\)

Therefore, the acceleration is 0.69 m/s²

The candidate's speed (m/s), given that the candidate experiences a centripetal acceleration that is 2.8 times the acceleration due to gravity is 17.4 m/s

We understood that the centripetal acceleration is related to speed and radius according to the following formula:

a = v² / r

Cross multiply

v² = ar

Take the square root of both sides

v = √ar

Where

Withe the above formula, we can determin the speed of the candidate. Details below:

v = √ar

v = √(27.44 × 11.05)

v = 17.4 m/s

Thus, the speed of the candidate is 17.4 m/s

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1. People have to prepare for natural disasters in order to reduce the risk of injury, death, and property damage caused by the disaster.

Natural disasters are adverse events that occur naturally and are a result of the interaction between the physical environment and human activities. They can include floods, hurricanes, tornadoes, earthquakes, tsunamis, wildfires, landslides, volcanic eruptions, and extreme weather events. Natural disasters can have devastating impacts on communities, including loss of life, damage to property, displacement, and destruction of livelihoods. Governments, organizations, and individuals are increasingly working to reduce the impacts of natural disasters through improved risk management, infrastructure planning, and disaster response and recovery efforts.

2. People have to prepare for natural disasters in order to be able to respond quickly and efficiently in the event of an emergency.

3. People have to prepare for natural disasters in order to plan for the financial impacts of the disaster.

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Answer:

No, Momentum is conserved.

Explanation:

The ballistic pendulum is a device in which a projectile such as a bullet is fired into a suspended heavy wooden stationary block. Some kinetic energy gets transformed into heat and sound, and some is used to deform the block. However, momentum is conserved.

Answer:

a)  W = - 1.92 10⁻¹⁸ J, b)    U = 1.92 10⁻¹⁸ J, c)   v = 2.05 10⁶ m / s

Explanation:

a) Work is defined by

        W = F. x

 the electric force is

         F = q E

we substitute

          W = q E x

where the displacement is parallel to the electric field

all quantities must be in the SI system

         x = 3.20 cm = 0.0320 m

         W = - 1.6 10-19 375 0.0320  

         W = - 1.92 10⁻¹⁸ J

b) potential energy

          U = \(k \frac{q_1q_2}{r}\)

the electrical power is

          V = k q₁ / r

we can write this potential as a function of the electric field

           V = -E x

we substitute

           U = -q E x

           U = - (-1.6 10⁻¹⁹) 375 0.0320

           U = 1.92 10⁻¹⁸ J

Observe that the variation of the red potential is equal to the electrical work

c) let's use conservation of energy

starting point

          Em₀ = U = e E x

final point

          Em_f = K = ½ m v²

energy is conserved

          Em₀ = Em_f

          e E x = ½ m v²

          v² = 2 e E x / m

           v = \(\sqrt{ \frac{{2 \ 1.6 10^{-19} \ 375 \ 0.0320 } }{9.1 \ 10^{-31} } }\)

           v = \(\sqrt{4.2198 \ 10^{12}}\)

           v = 2.05 10⁶ m / s

Explanation:

V = 3 cm/s = 0.03 m/s. BY THE FORmULA OF K.E. K.E = 1/2 mV^2. 300 =1/2 m (0.03)^2. m = 300 x 2/0.0009.

One of the conclusion about the history of sports that can be drawn from the movie "Champions" is that sports have a long and rich history that is intertwined with the history of human civilization.

From the ancient Olympic Games to the modern-day Olympics, sports have been a way for people to come together and compete in a spirit of sportsmanship and competition. Sports have also been a way for people to express themselves, to build community, and to achieve personal goals.

The movie "Champions" tells the story of a group of young men who come together to form a football team. The team is made up of boys from different backgrounds and with different abilities. However, they are all united by their love of football and their desire to win.

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