Find the intensity III of the sound waves produced by four 60-WW speakers as heard by the driver. Assume that the driver is located 1.0 mm from each of the two front speakers and 1.5 mm from each of the two rear speakers.

Answers

Answer 1

Given that,

Power = 60 W

Distance = 1.0 m

Distance between speakers = 1.5 m

We need to calculate the intensity

Using formula of intensity

\(I_{1}=\dfrac{P}{A}\)

\(I_{1}=\dfrac{P}{4\pi r^2}\)

Put the value into the formula

\(I_{1}=\dfrac{60}{4\pi\times(1.0)^2}\)

\(I_{1}=4.77\ W/m^2\)

We need to calculate the intensity

Using formula of intensity

\(I_{2}=\dfrac{P}{A}\)

\(I_{2}=\dfrac{P}{4\pi r^2}\)

Put the value into the formula

\(I_{1}=\dfrac{60}{4\pi\times(1.5)^2}\)

\(I_{1}=2.12\ W/m^2\)

We need to calculate the intensity of the sound waves produced by four speakers

Using formula for intensity

\(I'=(I_{1}+I_{2})\times2\)

Put the value into the formula

\(I'=(4.77+2.12)\times2\)

\(I'=13.78\ W/m^2\)

Hence, The intensity of the sound waves produced by four speakers is 13.78 W/m².


Related Questions

find the decrease in kinetic energy from the collision for the system containing both hockey players .
a 90.0 -kg hockey player moves at 5.0 m/s and collides head-on with a 110-kg player moving at 3.0 m/s in the opposite direction. after the collision, they move off together at 1.0 m/s.

Answers

Answer:

c h i c k e n n u g g e t s . . . . . .

jk its 2.6

lectric Charges
The glass is attracting the pieces of paper. What does
this tell you about the charges on the glass and the
paper?
The glass and the paper have the same charge.
O The glass and the paper have different charges.
ONeither the glass nor the paper has a charge.

Answers

B. The glass and the paper have different charges

Prepare a 20 question test with answers about chemical names, formulas, and chemical reactions.

Answers

1. The substance equation for water is \(H_2O\).

2. The compound name for table salt is sodium chloride \((NaCl)\).

3. The synthetic equation for carbon dioxide is \(CO_2\).

4. The substance name for baking soft drink is sodium bicarbonate \((NaHCO_3)\).

5.  The substance recipe for methane is \(CH_4\).

6. The compound name for vinegar is acidic corrosive \((CH_3COOH)\)

7.  The compound equation for smelling salts is \(NH_3\).

8. The compound name for blanch is sodium hypochlorite \((NaClO)\).

9.  The synthetic equation for hydrogen peroxide is \(H_2O_2\).

10. The synthetic name for rust is iron oxide \((Fe_2O_3)\).

11.  The compound recipe for sodium hydroxide is \(NaOH\).

12. The substance name for lye is sodium hydroxide \((NaOH)\).

13. The synthetic equation for sulfuric corrosive is \(H_2SO_4\).

14. The compound name for gypsum is calcium sulfate dihydrate \((CaSO_4.2H_2O)\).

15. The substance equation for table sugar is \(C_1_2H_2_2O_1_1\).

16. The synthetic name for anti-inflamatory medicine is acetylsalicylic corrosive \((C_9H_8O_4)\).

17. The compound recipe for calcium carbonate is \(CaCO_3\).

18. The substance name for baking powder is a combination of sodium bicarbonate \((NaHCO_3)\) and an acidic fixing like cream of tartar \((KC_4H_5O_6)\).

19. The synthetic equation for sodium chloride is \(NaCl\).

20. The substance name for hydrogen gas is \(H_2\).

The questions are:

1. What is the synthetic recipe for water?

2. What is the substance name for table salt?

3. What is the compound equation for carbon dioxide?

4. What is the synthetic name for baking pop?

5. What is the substance equation for methane?

6. What is the synthetic name for vinegar?

7. What is the substance equation for alkali?

8. What is the substance name for blanch?

9. What is the compound recipe for hydrogen peroxide?

10. What is the synthetic name for rust?

11. What is the synthetic equation for sodium hydroxide?

12. What is the synthetic name for lye?

13. What is the substance recipe for sulfuric corrosive?

14. What is the substance name for gypsum?

15. What is the synthetic recipe for table sugar?

16. What is the substance name for anti-inflamatory medicine?

17. What is the synthetic equation for calcium carbonate?

18. What is the synthetic name for baking powder?

19. What is the substance equation for sodium chloride?

20. What is the substance name for hydrogen gas?

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A highly optimized power plant is designed for burning natural gas at 1100 degrees Celsius for its gas turbines which will be combined with a steam power plant for producing steam at 700 degrees Celsius using the combustion products exhausted from the gas turbine. The steam power plant will use cooling towers (i.e. the ambient air at 27 degrees Celsius) for its condensing units. The efficiency of the plant is claimed to be 78%. Evaluate this claim and comment.

Answers

The claimed efficiency of the power plant is 78%, which is significantly higher than the theoretical maximum efficiency of 29.2%. Further information is required to evaluate the claim.

The greatest conceivable proficiency of the consolidated cycle power plant can be determined involving the Carnot productivity recipe as follows:

η_Carnot = (1373 K - 973 K)/1373 K = 29.2%

This implies that the hypothetical greatest proficiency of the power plant is 29.2%.

The guaranteed proficiency of the power plant is 78%. This is fundamentally higher than the hypothetical most extreme proficiency of 29.2%, which recommends that the case isn't precise. There might be different elements that are adding to the guaranteed effectiveness, like the utilization of further developed innovation, yet minus any additional data, assessing the claim is troublesome.

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The provided text reads: "a typical lightning bolt may transfer 10^20 electrons in a fraction of a second, developing a peak current of up to 10 kiloamperes." Using the value of the elementary charge of 1.6x10^-19 C We can estimate the total charge of the lightning bolt to be about *
1.6E1 C
1.6E4 C
1.6E10 C
1.6E20 C

Answers

Answer:

1.6e20

Explanation:

Bani wants to know that when a cold wooden spoon is dipped in a cup of hot milk, it transfers heat to its other end by the process of -

Conduction
Convection
Radiation
None of these

Answers

Answer:

Conduction is the movement of heat through a substance by the collision of molecules. ... This process continues until heat energy from the warmer object spreads throughout the cooler object, like the heat from the milk spreading throughout the wooden spoon dipped in it. Hence, Option Conduction is correct.


A rock is thrown upwards and has a max altitude of 40 m. What was its initial velocity?

Answers

Recall the formula,

\({v_f}^2-{v_i}^2=2a\Delta x\)

where \(v_i\) and \(v_f\) are the rock's initial and final velocities, respectively; \(a\) is its acceleration; and \(\Delta x\) is the displacement it undergoes.

At any point during its motion, the rock is subject to gravity, so \(a=-g\), where \(g=9.80\frac{\rm m}{\mathrm s^2}\). At its maximum height, the rock has zero vertical velocity, and if we take its starting height to be the origin, we have \(\Delta x=x_{\rm max}\).

So,

\(0^2-{v_i}^2=-2gx_{\rm max}\implies-{v_i}^2=-2\left(9.80\dfrac{\rm m}{\mathrm s^2}\right)(40\,\mathrm m\implies\boxed{v_i=28\dfrac{\rm m}{\rm s}}\)

An object is attached to a trolley with a 0.80 kg mass, which is then pushed into an identical trolley at a speed of 1.1 m / s. The two trolleys couple together and move at a speed of 0.70 m / s after the collision. Calculate the mass of the object.

Answers

The mass of the object is approximately 0.457 kg.

The mass of the object attached to the trolley can be calculated using the principle of conservation of momentum. Since the two trolleys couple together and move as a single system after the collision, the total momentum before and after the collision should be the same. Given the mass of one trolley is 0.80 kg and the initial speed is 1.1 m/s, the momentum before the collision is 0.80 kg * 1.1 m/s = 0.88 kg·m/s. After the collision, the total mass is the sum of the two trolleys, and the final speed is 0.70 m/s.

Using the momentum equation, the mass of the object can be calculated as follows:

Total momentum before collision = Total momentum after collision

0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s

Solving for the mass of the object, we get:

0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s

0.88 kg·m/s = 0.56 kg + 0.70 kg * mass of the object

0.88 kg·m/s - 0.56 kg = 0.70 kg * mass of the object

0.32 kg = 0.70 kg * mass of the object

Dividing both sides by 0.70 kg, we find:

mass of the object = 0.32 kg / 0.70 kg = 0.457 kg

The two trolleys collide and couple together, the total momentum before the collision is equal to the total momentum after the collision according to the principle of conservation of momentum.

The momentum of an object is defined as the product of its mass and velocity. In this case, the mass of one trolley is known (0.80 kg) and the initial speed is given (1.1 m/s), allowing us to calculate the momentum before the collision.

After the collision, the two trolleys move together at a new speed (0.70 m/s). By setting the initial momentum equal to the final momentum and solving for the unknown mass of the object, we can find its value.

In the calculation, we subtract the masses of the two trolleys from the total mass in order to isolate the mass of the object.

Dividing the difference in momentum by the product of the known mass and the new speed, we obtain the mass of the object. In this case, the mass of the object is approximately 0.457 kg.

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Hurry please

The distance from wave to wave is called what

Answers

Answer:

Wavelength

Explanation:

The answer to your question is wavelength! Hope this helps have a great day


Weight of a body becomes greater at the pole than that at the equator . why ?

Answers

Answer:

Because the Earth rotates it is wider around at the equator than around the pole.
The distance from the Pole to the centre is smaller than the distance from the equator to the centre of the Earth. The weight decreases the further away from the centre of the Earth.

An object with a mass of 10.5kg is traveling at a velocity of 9m/s. What is the kinetic energy of
the object?

Answers

KE = 1/2mv^2
1/2(10.5)(9)^2
1/2(10.5)(81) = 425.25 J

What is Moral subjectivism?

Answers

Answer:

What Is Moral Subjectivism? Moral subjectivism is based on an individual person's perspective of what is right or wrong. An individual can decide for themselves that they approve or disapprove of a certain behavior, and that is what determines if the behavior is right or wrong.

Do you agree or disagree with Kinsey that sexuality is a fluid concept, ranging on a seven-point scale from homosexual to heterosexual? Or, do you think these are discrete constructs that have finite points where they begin and end sexuality?

Answers

Answer:

kinsey sexuailty doesn't matter because that is his or her  

Explanation:

Hector stretches a spring with a spring constant of 3 N/m until it is extended by 50 cm. What is the elastic potential energy stored by the spring?

Answers

The elastic potential energy stored in the spring is 0.375 J.

The formula for elastic potential energy is:

E = 1/2 * k * x^2

where:

* E is the elastic potential energy in Joules

* k is the spring constant in N/m

* x is the distance the spring is stretched or compressed from its equilibrium position in meters

In this problem, we have:

* k = 3 N/m

* x = 0.5 m (50 cm)

Substituting these values into the formula, we get:

E = 1/2 * 3 * 0.5^2 = 0.375 J

Therefore, the elastic potential energy stored in the spring is 0.375 J.

Define specific heat, and state the si units of measurement of specific heat.

Answers

We wll have the ollowing:

Specific heat is the quantity of heat that is required to reaise the temperature of a gram of a substance by 1 degree celsius. It's unit is Joules in the SI.

Kindly please tell me the answer to this question...

Kindly please tell me the answer to this question...

Answers

Following are the answers:

Pressure = \(force/area = 1.92 N/0.196 m^2 = 9.79 N/m^2\) or 9.79 PaDensity = Pressure/ (acceleration due to gravity x height) =\(9.79 N/m^2 / (9.8 m/s^2 x 0.92 m)\) = 1060 kg/m^3.

What is the pressure and density?

1. To calculate the pressure exerted by the water column on the surface of the mercury, we can use the formula:

Pressure = force/area

The force is the weight of the water column and the area is the cross-sectional area of the container.

The weight of the water column is given by the mass of the water times the acceleration due to gravity:

mass = density x volume

volume = area x height

So, mass = density x area x height = 1000 kg/m^3 x pi x (0.025 m)^2 x 0.25 m = 0.196 kg

Weight = mass x acceleration due to gravity =\(0.196 kg * 9.8 m/s^2\) = 1.92 N

The cross-sectional area of the container is pi x (0.025 m)^2 =\(0.196 m^2.\)

So, Pressure = force/area = \(1.92 N/0.196 m^2 = 9.79 N/m^2\) or 9.79 Pa

2. To calculate the density of the oil, we can use the formula:

density = mass/volume

Since the height of the oil column is 0.92 m and the cross-sectional area of the container is 0.196 m^2, the volume of the oil column is 0.196 m^2 x 0.92 m = 0.18012 m^3.

We do not know the mass of the oil, but we can calculate it using the pressure exerted by the oil column on the surface of the mercury:

Pressure = force/area = density x acceleration due to gravity x height

So, density = Pressure/ (acceleration due to gravity x height) = 9.79 N/m^2 / (9.8 m/s^2 x 0.92 m) = 1060 kg/m^3.

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. A 0.140 kg baseball is pitched toward home plate at 30.0 m/s.
The batter hits the ball back (opposite direction) to the pitcher at
44.0 m/s. Assume that towards home plate is positive. What is
the change in momentum for the ball?

Answers

The change in momentum for the baseball, which is hit back in the opposite direction by the batter, is -10.36 kg·m/s. This change in momentum is obtained by subtracting the initial momentum of 4.2 kg·m/s from the final momentum of -6.16 kg·m/s. The negative sign indicates the opposite direction of the momentum.

To find the change in momentum for the baseball, we can use the formula:

Change in momentum = Final momentum - Initial momentum

Momentum is defined as the product of mass and velocity.

Given data:

Mass of the baseball (m) = 0.140 kg

Initial velocity of the baseball (\(v_i_n_i_t_i_a_l)\) = 30.0 m/s

Final velocity of the baseball (\(v_f_i_n_a_l_\)) = -44.0 m/s (negative sign indicates opposite direction)

To calculate the initial momentum, we multiply the mass by the initial velocity:

Initial momentum = m * \(v_i_n_i_t_i_a_l\) = 0.140 kg * 30.0 m/s = 4.2 kg·m/s

To calculate the final momentum, we multiply the mass by the final velocity:

Final momentum = m * \(v_f_i_n_a_l_\) = 0.140 kg * (-44.0 m/s) = -6.16 kg·m/s

Now we can find the change in momentum:

Change in momentum = Final momentum - Initial momentum

Change in momentum = (-6.16 kg·m/s) - (4.2 kg·m/s)

Change in momentum = -10.36 kg·m/s

Therefore, the change in momentum for the baseball is -10.36 kg·m/s. The negative sign indicates a change in direction, as the ball is hit back in the opposite direction.

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Which part of a road vehicle must be tested to ensure that there is sufficient friction to stop the vehicle in an emergency?

Answers

The part of a road vehicle which must be tested to ensure that there is sufficient friction to stop the vehicle in an emergency is the tyre.

What is Friction?

This is referred to as a force that resists the motion of one object against another when they roll or slide against each other.

When dealing with braking, the main factor is to have sufficient friction between the road surface and tyre to bring the vehicle to a standstill. If the tyres are wornout there won't be enough friction to make the vehicle stop during emergencies which is therefore the reason why it was chosen as the correct choice.

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Determine the magnitude of the resultant force FR=F1+F2FR=F1+F2. Assume that F1F1F_1 = 235 lblb and F2F2F_2 = 350 l

Answers

Answer:

585lb

Explanation:

Given the following

F1 = 235lb

F2 = 350lb

The resultant is expressed as;

FR = F1+F2

Substitute the given values

FR = 235+350

FR = 585lb

Hence the magnitude of the resultant is 585lb

A +2e charge is at the point (-1,0) mm in the x,y plane. A –e charge is at the point (0,1) mm. What is the electric field at the origin? What would be the force on a +3e charge at this point? Give the x and y components for both the field and force

Answers

Answer:

Let I and j be the unit vector along x and y axis respectively.

Electric field at origin is given by

E= kq1/r1^2 i + kq2/r2^2j

= 9*10^9*1.6*10^-19*/10^-6*(2i+ j)

= (2.88i + 1.44j)*10^-3 N/C

Force on charge= qE= 3*10^-19*1.6*(2.88i +1. 44 j) *10^-3

F= (1.382 i + 0.691 j) *10^-21

 

 Goodluck

Explanation:

If you have just used a velocity selector for electrons and you wish to use it to choose
positrons with the same speed, do you have to change any settings which are related to
electric field and magnetic field on the velocity selector? Explain your answer with the aid
of labelled diagram

Answers

Answer:

Explanation:

Yes, the settings related to electric and magnetic fields need to be changed to select positrons with the same speed as electrons in a velocity selector.

A velocity selector is a device that selects charged particles of a specific speed. It consists of perpendicular electric and magnetic fields. The electric field accelerates charged particles, while the magnetic field deflects the particles in a circular path.

To select positrons with the same speed as electrons in a velocity selector, the direction of the magnetic field needs to be reversed, as positrons have the opposite charge to electrons and will therefore be deflected in the opposite direction.

The diagram below shows the setup of a velocity selector for electrons and how it needs to be modified to select positrons with the same speed:

Velocity Selector Diagram

In the original setup for electrons, the magnetic field is directed into the page, while the electric field is directed upwards. Electrons of a specific speed will travel in a circular path and exit the selector through a slit at the top.

To select positrons with the same speed, the direction of the magnetic field needs to be reversed, so that it is directed out of the page. This will cause the positrons to travel in a circular path in the opposite direction to electrons, and they will also exit through the slit at the top. The electric field can remain in the same direction, as it only serves to accelerate the charged particles.

An object with mass m is given initial velocity to slide across a horizontal plane AB towards a semi circle BCD with radius R.
Between the object and the plane exists a kinetic friction u_k=0.5, but only between the section FB with length R. F is in the middle of A and B. The inside of the circle is smooth.
When the object reached to point C, it applies a force of 3mg on the semi circle.

The object is going to the left.

1. Write an expression for the initial velocity at point A.

An object with mass m is given initial velocity to slide across a horizontal plane AB towards a semi

Answers

The expression for the initial velocity at point A is:

0 = (velocity at point A - 0) / time

Simplifying the equation, we find:

Velocity at point A = 0

The initial velocity at point A is zero, indicating that the object starts from rest before sliding on the horizontal plane AB.

To write an expression for the initial velocity at point A, we need to analyze the forces acting on the object and apply the principles of motion.

Given:

Mass of the object, m

Radius of the semi circle, R

Coefficient of kinetic friction, μ\(_k\) = 0.5

Force applied at point C, F = 3mg

The object is initially at rest.

Let's break down the motion into two parts: the motion on the horizontal plane AB and the motion along the semi circle BCD.

1. Motion on the horizontal plane AB:

The only force acting on the object on the horizontal plane is the force of kinetic friction. The frictional force can be calculated using:

Frictional force, f = μ\(_k\)* Normal force

The normal force is equal to the weight of the object, which is mg.

Normal force, N = mg

Frictional force, f = μ\(_k\) * mg

The frictional force acts in the opposite direction to the motion, so its magnitude is negative. Thus, the net force on the object on the horizontal plane is:

Net force = -f = -μ\(_k\)* mg

Using Newton's second law, we can relate the net force to the acceleration:

Net force = mass * acceleration

-μ\(_k\) * mg = m * acceleration

The acceleration can be expressed as the rate of change of velocity:

Acceleration = (final velocity - initial velocity) / time

Since the object is initially at rest, the initial velocity is zero.

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A 6.35 kg bowling ball moving 8.49 m/s strikes
a 1.59 kg bowling pin at rest. After, the pin moves 20.1 m/s at a -77.0° angle. What is
the x and y component of the ball's final velocity?

Answers

The x and y component of the ball's final velocity are respectively 7.35 m/s and  4.90 m/s.

What is velocity?

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Given that:

Mass of the ball: M = 6.35 kg.

Initial velocity of ball: U = 8.49 m/s.

Mass of the pin at rest: m = 1.59 kg.

Final velocity of pin: v = 20.1 m/s at a -77.0° angle.

Let the x and y component of the ball's final velocity are respectively V₁ m/s and  V₂ m/s.

Appling conservation of momentum along x axis:

MU + m.0 = MV₁ + mvcos(-77.0°)

⇒ V₁ = u - (m/M) v cos(-77.0°)

After putting the values we get:

V₁ = 7.35 m/s.

Appling conservation of momentum along y-axis:

M.0 + m.0 = MV₂ + mvsin(-77.0°)

⇒ V₂ = - (m/M) vsin(-77.0°)

After putting the values we get:

V₂ = 4.90 m/s.

Hence, the x and y component of the ball's final velocity are respectively 7.35 m/s and  4.90 m/s.

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What constant acceleration in si units must a car have to go from zero to 60 mph in 10s. what fraction of g is this? How far has the car traveled when it reaches 60 mph?

Answers

The car would have a constant acceleration of 8.8 ft/s^2 or 2.682 m/s^2. The fraction of g would be .2735 or 2375/10000. The car would have traveled 440 feet when it reaches 60 mph

The temperature of air in a foundary increase when molten metals cool and solidify. Suppose 9.9*10*10*10*10*10*10J of energy is added to surrounding air by the solidwifying metal. The air's temperature increases by 55K, and the air has a specific heat capacity of 1.0*10*10*10J/Kg•K

Answers

180kg is mass of metal .

The definition of specific heat capacity

The amount of heat per unit mass needed to raise the temperature by one degree Celsius is known as the heat capacity or specific heat. The ability to distinguish between two polymeric composites using specific heat can be useful in calculating the processing temperatures and volume of heat required.

The heat capacity per unit mass of a material is known as the specific heat capacity (or simply the specific heat). The results of experiments indicate that three variables affect the amount of heat that is transferred: (1) the temperature change, (2) the mass of the system, and (3) the substance and phase of the material.

Eo is 9.9*10^6 J

ΔT is 55K

c is 1*10^3 J/kg.K

Eo = Mo. c. ΔT

Mo = Eo/ c. ΔT

Mo = 9.9*10^6/ 5 5*1*10^3

Mo = 180kg

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what current flows through the 75 ohm resistor in the circuit below?

what current flows through the 75 ohm resistor in the circuit below?

Answers

The current that flows through the 75 ohm resistor in the circuit shown below is 0.12A.

How to calculate current?

The current flowing through a circuit can be calculated using the Ohm's law equation as follows;

V = IR

Where;

V = voltage (V)I = current (A)R = resistance (ohm)

According to this question, a circuit is shown in the above image. A 75 ohm resistor is given alongside a voltage of 9V. The current can be calculated as follows;

9 = I × 75

I = 0.12A

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I want to see the solving steps

I want to see the solving steps

Answers

Answer: 4.214 N

Explanation:

Since the ball reaches a constant terminal velocity, then the net force = 0 because the acceleration = 0

If we draw a free body diagram, we will find that all forces acting on the ball are:

the force of gravity (downward)The force of Air resistance (upwards)

If F(net) = 0, then gravitational force = air resistance = Mass * free-fall acceleration = 0.43*9.8 = 4.214 N

An electric eel develops a potential difference of 470 V , driving a current of 0.85 A for a 1.0 ms pulse.
A. Find the power of this pulse.
B. Find the total energy of this pulse.
C. Find the total charge that flows during the pulse.

Answers

Answer:

(a) The power of this pulse is 399.5 W

(b) The total energy of this pulse is 0.3995 J

(c) The total charge that flows during the pulse is 8.5 x 10⁻ C

Explanation:

Given;

potential difference developed by the eel, V = 470 V

current, I = 0.85 A

time, t = 1 ms = 1 x 10⁻³ s

(a) the power of this pulse.

P = IV

P = 0.85 x 470

P = 399.5 W

(b) the total energy of this pulse

E = Pt

E = 399.5 x 1 x 10⁻³

E = 0.3995 J

(c) the total charge that flows during the pulse

Q = it

Q = 0.85 x 1 x 10⁻³

Q = 8.5 x 10⁻C

PLEASE HELP!!
Which statement accurately describes a balanced force?


A 2-N force presses down on the marble at the same time as a 1.5-N force presses up on the marble.

A marble rolling downhill suddenly comes to rest at a garden wall.

A 25-N force acts on the left side of the marble at the same time as a 25-N force acts on the right side of the marble.

A marble resting on the sidewalk suddenly begins to roll downhill without being touched.

Answers

Answer:

A 25-N force acts on the left side of the marble at the same time as a 25-N force acts on the right side of the marble.

Explanation:

just took test

A 25-N force acts on the left side of the marble at the same time as a 25-N force acts on the right side of the marble.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Balanced force is when the net force applied on the object is zero than said to be balanced.

A 25-N force acts on the left side of the marble at the same time as a 25-N force acts on the right side of the marble.

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A janitor is pushing an 17-kg trashcan across a level floor at constant speed. The coefficient of friction between can and floor is 0.16. a) if the janitor is pushing horizontally, what is the magnitude of the force he exerts on the can? b) If he pushes at an angle of 30∘ down from the horizontal, what must the magnitude of his pushing force be to keep the can moving at constant speed?

Answers

Answer:

a) >26.7 N

b)  >13.3 N

Explanation:

a)  Fg = (17 kg)(9.8 m/s²) = 166.6 N

Fnormal = Fg = 166.6 N

Ff = μFn = 0.16(166.6 N) = 26.7 N

Janitor needs to push >26.7 N to overcome the Force of friction (Ff) on a horizontal floor.

b)  You have to determine Fn on the object by figuring out the y-component of Fg.

Fn/Fg = sin30

Fn = sin30(166.6 N) = 83.3 N

Now you can find Ff.

Ff = μFn = 0.16(83.3 N) = 13.3 N

Janitor needs to push >13.3 N down the incline to overcome Ff

Makes sense that he has to push less down an incline.

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