a disk of radius 11 cm, initially at rest, begins rotating about its axis with a constant angular acceleration of 7 rad/s2. what are the following values at t = 6 s?

Answer ideal mechanical advantage

Answer:

d = 1.49 x 10^11m

Explanation:

Velocity is defined as the rate of travel, and can be found using the distance formula.

velocity= distance/time

Rearranging this formula we can solve for distance given velocity and time of travel.    d=vt

We are given velocity and time, and so can solve for distance, but if we plug in the values given

d=(3.00 x 10^8m/s)(498s)

Now our units work out and we can solve for distance.

d = (3.00 x 10^8 m/s)

d = 1.49 x 10^11 m

hope it helps mark me brainliest pls

Answer:

The maximum potential difference or current can be increased by:

1. increasing the rate of rotation.

2. increasing the strength of the magnetic field.

3. increasing the number of turns on the coil.

Answer:

It depends. Remember that power is voltage x current. So, do you have enough voltage? You can buy modules that increase and decrease voltage. That is one possibility. Please check all safety guidelines of the generator before doing this. modifying the voltage to a generator without making sure it can take more voltage can be counterproductive

A hole that is dug into the ground to obtain fresh water is called a well.

Here's a step-by-step explanation of how a well is created and how it provides fresh water:

1. Site selection: The first step in creating a well is to choose a suitable location. This is typically done by analyzing the underground water table and soil conditions, which can help determine the depth and availability of fresh water.

2. Drilling or digging: Once a suitable location has been identified, a hole is dug into the ground. This can be done using various methods such as drilling, auger drilling, or manual digging, depending on the depth and soil conditions.

3. Casing installation: To prevent the well from collapsing and to protect the water from contamination, a casing (a pipe-like structure) is installed in the hole. This casing is typically made of durable materials like PVC, steel, or concrete.

4. Water source identification: As the hole is dug deeper, the water table is eventually reached. The water table is the underground boundary where the soil or rock is saturated with water. Once this level is reached, the well can be used to extract fresh water.

5. Pump installation: In order to extract the water from the well, a pump is installed. This pump can be either a hand pump, an electric pump, or even a solar-powered pump, depending on the specific requirements and resources available.

6. Water treatment (if necessary): Depending on the quality of the water source, it may be necessary to treat the water before it can be used. This can include filtering, chlorination, or other methods of purification to ensure the water is safe for consumption.

7. Maintenance: Regular maintenance of the well is important to ensure its continued functionality and water quality. This can include checking the pump, cleaning the well, and testing the water quality periodically.

In summary, a well is a hole dug into the ground to obtain fresh water, and it involves several steps including site selection, drilling, casing installation, water source identification, pump installation, water treatment, and regular maintenance.

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The upper control limit (UCL) of the cholesterol study can be calculated using the formula: UCL = Mean + 3 × Standard Deviation.

In this case, the mean of the study is given as 140.03 mg/dl, and the standard deviation of the five samples is 5.10 mg/dl. Plugging these values into the formula, we get:

UCL = 140.03 + 3 × 5.10

Calculating the expression on the right-hand side, we find:

UCL = 140.03 + 15.30

Therefore, the upper control limit of the cholesterol study is:

UCL = 155.33 mg/dl.

The upper control limit is a statistical threshold that is used to monitor the performance of a process or study. It represents a boundary above which data points are considered statistically significant or out of control. In this case, the UCL is calculated by adding three times the standard deviation to the mean. By doing so, we establish an upper limit that is three standard deviations away from the mean. Any data point exceeding this limit would indicate a potential problem or variation in the process being studied. In the context of the cholesterol study, any measurements above 155.33 mg/dl would warrant further investigation or action to assess and address potential health concerns.

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The upper control limit (UCL) of the cholesterol study can be calculated using the formula: UCL = Mean + 3 × Standard Deviation.

In this case, the mean of the study is given as 140.03 mg/dl, and the standard deviation of the five samples is 5.10 mg/dl. Plugging these values into the formula, we get:

UCL = 140.03 + 3 × 5.10

Calculating the expression on the right-hand side, we find:

UCL = 140.03 + 15.30

Therefore, the upper control limit of the cholesterol study is:

UCL = 155.33 mg/dl.

The upper control limit is a statistical threshold that is used to monitor the performance of a process or study. It represents a boundary above which data points are considered statistically significant or out of control. In this case, the UCL is calculated by adding three times the standard deviation to the mean. By doing so, we establish an upper limit that is three standard deviations away from the mean. Any data point exceeding this limit would indicate a potential problem or variation in the process being studied. In the context of the cholesterol study, any measurements above 155.33 mg/dl would warrant further investigation or action to assess and address potential health concerns.

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Answer:

21.9m/s²

Explanation:

Given parameters:

Mass of the physics student  = 73kg

Net force  = 1600N

Unknown:

The acceleration at this point  = ?

Solution:

To solve this problem, we apply a knowledge of Newton's second law of motion which is mathematically expressed as;

        F  = m a

F is the friend

m is the mass

a is the acceleration

          1600  = 73 x a

              a  = 21.9m/s²

One of the two wattmeter will read 0.696 W in a 3 phase circuit at 55% power factor.

Two voltage readings made with reference to the same phase (line) and two currents flowing into that phase are used in the two-wattmeter approach. The three-phase system is assumed to be balanced, with the sum of all voltages equaling 0 V and the sum of all currents equaling 0 A.

Three wattmeters are needed to calculate the overall power factor in a three-phase, four-wire system. Watts are measured by each metre, and measurements of volts and amps are also taken. By dividing the total watts from each metre by the total volt-amps, the power factor is derived.

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Molly's experiment involved kicking a soccer ball with varying amounts of force and observing the resulting change in the ball's motion.

Newton's three laws of motion can help explain how the force of Molly's kicks affected the ball's movement.

Newton's first law of motion states that an object at rest will stay at rest and an object in motion will stay in motion with a constant velocity unless acted upon by an unbalanced force. In this experiment, the soccer ball was at rest before each kick, so the force of Molly's kicks acted as an unbalanced force, causing the ball to accelerate and move. The greater the force of her kick, the greater the acceleration and resulting distance the ball traveled.

Newton's second law of motion states that the acceleration of an object is directly proportional to the force applied and inversely proportional to its mass. In this case, the mass of the soccer ball remained constant, but the force of Molly's kicks varied. As a result, the acceleration of the ball was directly proportional to the force of her kick.

Finally, Newton's third law of motion states that for every action, there is an equal and opposite reaction. When Molly kicked the soccer ball, the ball exerted an equal and opposite force back on her foot, which is why she felt the impact of the kick.

Energy transfer also played a role in this experiment. When Molly kicked the ball, she transferred energy from her foot to the ball. The greater the force of her kick, the more energy was transferred to the ball, resulting in a greater distance traveled.

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To calculate the energy stored in the capacitor, you can use the formula:
Energy (E) = 0.5 * Capacitance (C) * Voltage (V)^2

To determine how much energy was stored in the capacitor during the time it was tested, you will need to know the capacitance value of the capacitor and the voltage across it. In this case, you mentioned the voltage across the parallel portion of the circuit is 50 mV. However, the capacitance value is not provided.
To calculate the energy stored in the capacitor, you can use the formula:
Energy (E) = 0.5 * Capacitance (C) * Voltage (V)^2
Assuming you have the capacitance value (in farads) and the voltage (in volts), you can plug in the values into the formula and find the energy stored in the capacitor (in joules).

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The final velocity of the race car in m/s calculated with the help Newton's first equation of motion is 35 m/s.

What is Newton's first equation of motion?

The first equation of motion given by Newton is v = u + at. This equation is also referred as the velocity-time relation.

According to Newton's first equation of motion,

v = u + at

where, v = final velocity, u = initial velocity, a = acceleration, t = time taken.

As given in question,

u = 90 km/h = 90 km/h / 3.6 = 25 m/s,

a = 5 m/s^2,

t = 2 seconds,

So, putting the values given in question the the Newton's first equation of motion.

v = u + at

v = 25+(5x2)

v = 25+10

v = 35 m/s

Hence, the final velocity is 35 m/s.

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Complete question

A cannon with a muzzle velocity of 500. meters per second fires a cannonball at an angle of 30.° above the horizontal. What is the vertical component of the cannonball's velocity as it leaves the cannon?

A   0.0 m/s

B    250. m/s

C   433 m/s

D    500. m/s

Answer:

The correct option is  C

Explanation:

From the question we are told that

   The velocity is  \(v = 500 \ m/s\)

    The angle is  \(\theta = 30^o\)

Generally the vertical component of the canon ball is mathematically represented as  

          \(v_y = v * cos (30 )\)

=>       \(v_y = 500 * cos (30 )\)

=>       \(v_y = 433 \ m/s\)

Answer:

250. m/s

Explanation:

It is vertical component so you do: 500mSin(30°) = 250m/s

Answer: A stone is thrown horizontally at 15 m/s from the top of a cliff 44 ... A steel ball rolls with constant velocity across a tabletop 0.950 m high. ... b. How long did it take the ball to return to the launching height? c. ... A ball is launched with an initial velocity of 4.47 m/s at an angle of ... C. How far away did it land? 5

Explanation: its b

Answer:

1)  10 kg-m/s

2)  2 kg

3)  20 m/s

Explanation:

The momentum of an object can be calculated using the equation:

\(\large\boxed{p=mv}\)

where:

\(\hrulefill\)

For this question we need to find the momentum of a bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s.

Given values:

Substitute the given values into the momentum formula and solve for p:

\(p=4.0\;\text{kg} \cdot 2.5\;\text{m/s}\)

\(p=10\;\text{kg m/s}\)

Therefore, the momentum of the bowling ball is 10 kg-m/s.

\(\hrulefill\)

For this question we need to find the mass of a skateboard rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s.

Given values:

As we want to find mass, rearrange the momentum formula to isolate m:

\(\large\boxed{m=\dfrac{p}{v}}\)

Substitute the given values into the formula and solve for m:

\(m=\dfrac{6.0\; \text{kg m/s}}{3.0\; \text{m/s}}\)

\(m=2\;\text{kg}\)

Therefore, the mass of the skateboard is 2 kg.

\(\hrulefill\)

For this question we need to find the velocity of a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s.

Given values:

As we want to find velocity, rearrange the momentum formula to isolate v:

\(\large\boxed{v=\dfrac{p}{m}}\)

Substitute the given values into the formula and solve for v:

\(v=\dfrac{10\; \text{kg m/s}}{0.5\; \text{kg}}\)

\(v=20\;\text{m/s}\)

Therefore, the velocity of the baseball is 20 m/s.

Answer:

Se obtienen 2,27 gramos de metanol.

Explanation:

La reacción entre monóxido de carbono e hidrógeno para producir metanol es la siguiente:

CO + 2H₂ → CH₃OH  

Para encontrar el reactivo limitante y el reactivo en exceso, debemos calcular el número de moles de CO y H₂:

\(\eta_{CO} = \frac{m}{M} \)              

En donde:    

m: es la masa

M: es el peso molecular  

\(\eta_{CO} = \frac{m}{M_{CO}} = \frac{2,0 g}{28,01 g/mol} = 0,071 moles \)

\(\eta_{H_{2}} = \frac{2,0 g}{2,02 g/mol} = 0,99 moles \)

Dado que la relación estequiométrica entre CO y H₂ es 1:2, el número de moles de hidrógeno gaseoso que reaccionan con el monóxido de carbono es:

\( \eta_{H_{2}} = \frac{2}{1}*0,071 = 0,142 moles \)      

Entonces, se necesitan 0,142 moles de H₂ para reaccionar con 0,071 moles de CO y debido a que se tienen más moles de H₂ (0,99 moles) entonces el reactivo limitante es CO y el reactivo en exceso es H₂.

Ahora podemos encontar la masa de metanol obtenida usando el reactivo limitante (CO) y sabiendo que la realcion estequiométrica entre CO y CH₃OH es 1:1.    

\( \eta_{CH_{3}OH} = \eta_{CO} = 0,071 moles \)

\( m = 0,071 moles*32,04 g/mol = 2,27 g \)

Por lo tanto, se obtienen 2,27 gramos de metanol.

Espero que te sea de utilidad!      

Answer:

A: The angle of diffraction increases with increasing wavelength and decreases with decreasing wavelength.

B: The angle of diffraction is directly proportional to the size of the wavelength.

Explanation:

The average braking force acting on the car is -690N, So The correct option is b.)

To solve this problem, we can use the following formula:

\(d = (v_f^2 - v_i^2) / (2a)\)

where d is the distance traveled, v_f is the final velocity (0 m/s, since the car comes to a complete stop), v_i is the initial velocity (27 m/s), and a is the average braking acceleration.

We can rearrange this formula to solve for the braking acceleration:

\(a = (v_f^2 - v_i^2) / (2d)\)

Substituting the given values, we get:

\(a = (0^2 - 27^2) / (2 * 578.0) = -6.24 m/s^2\)

The negative sign indicates that the acceleration is in the opposite direction to the car's motion, i.e. it is a deceleration.

Finally, we can use Newton's second law (F = ma) to find the average braking force:

F = ma = (1100 kg)(-6.24 m/s²) = -6854.4 N

Rounding to the nearest 10 N, we get:

F ≈ -690 N

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The ball will travel more distance when projected or kicked at an angle of 35 degrees.

The range of the projectile or the horizontal distance traveled by the ball is calculated by applying the following kinematic equation as shown below.

R = ( u² sin (2θ ) ) / g

where;

The horizontal distance traveled by the ball when projected at 35 degrees is calculated as;

R = ( 13.9² x sin ( 2 x 35 ) ) / ( 9.8 )

R = 18.53 m

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To bring a car of 1000kg to rest from a speed of 91Km/hr, we need 4140500J and 985.833Kilocalorie.

So, we are given that final velocity of the car is zero and initial velocity of car is 91Km/hr. We know that there is relation between the work done and kinetic energy.

According to work-energy equation, we know that

Work done=change in kinetic energy

We know that kinetic energy is given by =(1/2)mv² where m is the mass and v is the velocity of the object.

Since final velocity of object is zero, therefore final kinetic energy is zero

Initial kinetic energy is =(1/2)×1000×(91)²=500×8281=4140500J

So, according to above formula

=>W=0-4140500

=>W=-4140500J

Here negative sign shows that velocity is decreasing.

To convert Joule into calorie, we know that

4.2J=1 calorie

=>4140500J=(4140500÷4.2)calorie=985833.33calorie

In Kilocalorie, it is equal to 985.833Kilocalorie.

Hence, required joules and kilocalories  are 4140500 and  985.833 respectively.

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\( \sf{• \: Power \: (P) = 60 \: w}\)

\( \sf{• \: Resistance \: (R) = 880 \: Ω}\)

\( \\ \)

\( \sf• \: The \: Current \: (I).\)

\( \\ \)

\( \huge\bf{ \underline{ Solution :- }}\)

\( \sf We \: know \: that,\)

\( \bf \red {\bigstar{ \: P = I^{2} R}}\)

\( \rightarrow \sf 60 = I^{2} \times 880\)

\( \rightarrow \sf \frac{60}{880} = I^{2} \)

\( \rightarrow \sf I^{2} = 0.0681\)

\( \rightarrow \sf I = \sqrt{0.0681}\)

\( \rightarrow \sf I = 0.261 \: \: (approx.)\)

\( \\ \)

\(\bf The \: \: value \: \: of \: \: I \: \: is \: \: 0.261 \: \: Amps. \: \: (approx.)\)

Answer:

0.44 sec

Explanation:

k = 100 N/m, m = 0.50 kg

Period

Answer:

least distance= 13mm

ratio of the lattice = 1 : 0.71 : 0.58

Explanation:

given λ₁ = 650nm = 650×10⁻⁹m,  λ₂ = 500nm = 500×10⁻⁹m

Answer:

D i think

Explanation:

dont need a explanation it's just D

Answer:

C

Explanation:

C should be the right answer

Answer:

T₂ = 123.9 N,  θ = 66.2º

Explanation:

To solve this exercise we use the law of equilibrium, since the diaphragm does not appear, let's use the adjoint to see the forces in the system.

The tension T1 = 100 N, we create a reference frame centered on the pole

X axis

       T₁ₓ - \(T_{2x}\) = 0

        T_{2x}= T₁ₓ

Y axis y

      T_{1y} + T_{2y} - 200N = 0

      T_{2y} = 200 -T_{1y}

let's use trigonometry to find the component of the stresses

         sin 60 = T_{1y} / T₁

         cos 60 = t₁ₓ / T₁

         T_{1y} = T₁ sin 60

         T1x = T₁ cos 60

         T_{1y}y = 100 sin 60 = 86.6 N

         T₁ₓ = 100 cos 60 = 50 N

for voltage 2 it is done in the same way

         T_{2y} = T₂ sin θ

         T₂ₓ = T₂ cos θ

we substitute

           T₂ sin θ= 200 - 86.6 = 113.4

           T₂ cos θ = 50              (1)

to solve the system we divide the two equations

           tan θ = 113.4 / 50

           θ = tan⁻¹ 2,268

           θ = 66.2º

we caption in equation 1

           T₂ cos 66.2 = 50

           T₂ = 50 / cos 66.2

           T₂ = 123.9 N

A monochromatic laser is responsible for exciting hydrogen atoms from their n=2 state to their n=5 state in which :

wavelength λ of the laser =435 nm

longest wavelength = λmax = 4052 nm

shortest wavelength = λmin= 95 nm

To do excitation, the energy of the laser should be greater than or equal to the energy of transition of the hydrogen atom.

In this case, the states of energy are explained by the Bohr model.

       En = -  13,606 /n²    [eV]

therefore the energy of the transition is

         ΔE  =  E 5 -  E2

         ΔE  =  13.606  (1  n2^2  -  1  n5^5 )

        ΔE  =  13.606(1 /2^2   -  1 /5^5).

        ΔE =    2,85726 eV

Using the Planck's equation

         E   =   h f

  Light’s relation to wavelength and frequencies

       c = λ f

       f = c /λ

  λ = h c / E

reducing energy to the SI system

     E  =  2,85726  eV    (1.6x10⁻¹⁹  J /1 eV)   =   4.5716 x 10⁻¹⁹   J

hence,  λ =  6,626 x 10⁻³⁴  3 x 10⁸ /4  ,5716 x 10⁻¹⁹

      λ   = 4.348x 10⁺⁷ m (10⁹ nm / 1 m)

      λ   = 435   nm

photon emission [e] , to the base state n = 1,  from n = 5.

Initial  state,  n = 5

final  state,    n = 4

ΔE = 13.606 (1/4² - 1/5²)

ΔE = 0.306 eV

λ =h c / E

λ = 4052  nm

n = 5

final /  level          ΔE (eV)     λ (nm)

  4                 0.306      4052

  3               0.9675     1281

  2                 2,857       435

  1               13.06           95

 n = 4

 3                 0.661        1876

 2                                    2,551         486

 1                 11,905       104

n = 3

 2                1.89            656

 1                                 12.09         102.5

n = 2

1                 10.20         121.6.

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Answer:

20 meters.

Explanation:

In the graph, the x-axis (the horizontal axis) represents the time, while the y-axis (the vertical axis) represents the distance.

If we want to find the distance covered in the first T seconds, you need to find the value T in the horizontal axis.

Once you find it, we draw a vertical line, in the point where this vertical line touches the graph, we now draw a horizontal line. This horizontal line will intersect the y-axis in a given value. That value is the total distance travelled by the time T.

In this case, we want to find the total distance that David ran in the first 4 seconds.

Then we need to find the value 4 seconds in the horizontal axis. Now we perform the above steps, and we will find that the correspondent y-value is 20.

This means that in the first 4 seconds, David ran a distance of 20 meters.

Answer:

i found this i hope it helps

Explanation:

The magnitude of this force depends upon the mass of each object and the distance between the centers of the two objects. Mathematically, we say the force of gravity depends directly upon the masses of the objects and inversely upon the distance between the objects squared.

Answer:

the temperature would increase globally because carbon dioxde contributes to global warming increase the temperature of the earth

Explanation:

i hope this will help you

If there is an increase of carbon dioxide in the atmosphere, this affects temperature the temperature would increase globally. The correct option is B.

The term “global warming” refers to a steady increase in the average temperature of the Earth's atmosphere and oceans, a phenomenon that is thought to be irreversibly altering the Earth's climate.

Our poles' waters are melting as a result of global warming. When our polar ice caps melt the majority of the way, many coastal communities will flood. Extreme weather, such as greater hurricanes, larger thunderstorms, and wider areas affected by other natural catastrophes, will also occur.

The temperature would decrease globally because carbon dioxide contributes to global warming, increasing the temperature of the earth.

Therefore, the correct option is B) The temperature would decrease globally.

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