An electic bulb is rated 60W, 220V. Calculate the resistance of its filament when it is operating normally.​

Answers

Answer 1

Answer:

Explanation:

We have to use the equation p = I^2 x R. But we do not have the current.

To work out the current, we look at what we have. We have the voltage and power, therefore we will use the equation P = IV and rearrange to find the current.

I = P/V

I = 60/220

I = 0.2727272727 or round it to 2 dp to get = 0.27

we now have to rearrange the first equation to find the resistance.

R = P/I^2

R = 60/0.2727272727^2

R = 806.6666665501

R = 807 ohms (3sig)

Answer 2

The resistance of the filament is 806.67 ohms.

Electrical power is defined as the rate at which electrical energy is transferred by an electric circuit. The SI unit of power is Watt, 1 joule per second ( 1J/S).

The formula of electrical power is

    P = V^2/R

where,

P = power

V = volts

R = resistance

from the above formula

60 = 220x220/R

R = 220x220/60

R = 806.67

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Related Questions

a wave has an amplitude of 2 cm (y-direction) and a frequency of 12 hz, and the distance (x-direction) from a crest to the nearest trough is measured to be 5 cm. determine the velocity of the wave.

Answers

120 centimeters per second, is the wave speed or wave velocity.

How fast do waves travel?

Wave velocity is the amount of distance a wave travels in one unit of time. The rate at which a particle disturbance like a crest or trough or compression or rarefaction spreads in a medium is known as the particle's propagation speed.

Given,

Amplitude (A) = 2cm,

Frequency (f) = 12hz,

Time period [tex]T=\frac{1}{f} =\frac{1}{12} s[/tex]

The horizontal distance between the closest peak or trough, respectively, is referred to as the wavelength. A crest's distance from the closest tough was specified. The distance between a crest and the closest crest is therefore two times that distance.

This is the wave length :

λ=(2)(5)

=10cm

The wave velocity or wave speed is given by:

v = λf

v=(10)(12)

=120 cm/s

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The most energetic region of the electromagnetic spectrum is the microwave region. True or false?.

Answers

False. The most energetic region of the electromagnetic spectrum is NOT the microwave region. It is the Gamma rays.

What are Gamma rays?
The electromagnetic radiation with the shortest wavelength and maximum energy is known as a gamma ray. The wavelengths of gamma radiation are often less than a few tenths of an angstrom (1010 meter), yet the energy of gamma photons exceed tens of thousands of electron volts.

Gamma rays are created when radioactive atomic nuclei break apart and when certain subatomic particles decay. Pair annihilation, in which two photons are formed along with the disappearance of an electron and its antiparticle, a positron, also results in the production of gamma rays. Additionally, they can be produced when some unstable subatomic particles, such the neutral pion, decay.

Therefore, The most energetic region of the electromagnetic spectrum are gamma rays.

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a car of mass 1850 kg is traveling at 22.5 m/s in a straight line. a truck of mass 3170 moving in the opposite direction collides with the car and the 2 vehicles stop immediately without sliding. the speed of the truck was

Answers

13.13 m/s is the velocity of the truck was when a truck of mass 3170 moving in the opposite direction collides with the car and the 2 vehicles stop immediately without sliding.

Momentum of car= 1850(22.5)=41625 kg m/s

Momentum of car = momentum of truck

Let the speed of truck = v m/s

Momentum of truck= v(3170)=3170 v  kgm/s

3170v = 41625

v = 13.13 m/s

Speed of truck = 13.13 m/s

The pace at which a moving object changes position as seen from a certain point of view and as measured by a particular time standard is known as its velocity.

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A student drops a rock from a bridge to the
water 14.4 m below.
With what speed does the rock strike
the water? The acceleration of gravity is
9.8 m/s².
Answer in units of m/s.

Answers

Answer:  

Explanation:

at first the rock is at rest so initial velocity is zero
after accelerating it reaches a final velocity
we are supposed to find that final velocity


[tex]v^{2} = u^{2} +2ax[/tex]
v= final velocity
u= initial velocity
x= distance
a= acceleration

[tex]v^{2} = 0^{2} + 2(9.8)(14.4)[/tex]
[tex]v^{2} = 282.24[/tex]
[tex]v= \sqrt{282.24}[/tex]
[tex]v= 16.8 m/s[/tex]





25 Which wavefront is travelling at a speed closest to that of a sound wave through a solid? A one that moves 10m in 0.01 s B one that moves 50m in 0.5s C one that moves 1000 m in 100 s D one that moves 2000 m in 2000 s ​

Answers

The wavefront B is travelling at the speed(5000m/s) closest to that of a sound wave(6000m/s) travelling through solid.

The velocity of the sound waves in solids is nearly 6000 meters per second.

Let us check the velocity for all the three wave fronts,,

Wavefront A,

We know,

speed = distance/time taken

Distance travelled by the wavefront A is 10m,

Time taken by the wavefront A to travel the distance is 0.01 seconds,

Putting all the values,

Speed = 10/0.01

Speed = 1000m/s.

Speed of wavefront A is 1000m/s.

Wavefront B,

Again we know,

speed = distance/time taken

Distance travelled by the wavefront Bis 50m,

Time taken by the wavefront B to travel the distance is 0.01 seconds,

Putting all the values,

Speed = 50/0.01

Speed = 5000m/s.

Speed of wavefront B is 5000m/s.

Wavefront C,

We know,

speed = distance/time taken

Distance travelled by the wavefront C is 1000m,

Time taken by the wavefront C to travel the distance is 100 seconds,

Putting all the values,

Speed = 1000/100

Speed = 10m/s.

Speed of wavefront C is 10m/s.

Wavefront D,

Again using the formula,

speed = distance/time taken

Distance travelled by the wavefront is 2000m,

Time taken by the wavefront to travel the distance is 2000 seconds,

Putting all the values,

Speed = 2000/2000

Speed = 1m/s.

Speed of wavefront D is 1m/s.

As we can see, The speed of wavefront B is closest to the speed of sound waves in solids.

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an airplane that is flying level needs to accelerate from a speed of 200 m/s to a speed of 240 m/s while it flies a distance of 1200 m. what must the constant acceleration of the plane be?

Answers

The constant acceleration of the plane is 7.33 m/[tex]s^{2}[/tex].

Use this formula of acceleration, [tex]v^{2}[/tex] = [tex]u^{2}[/tex] + 2as

[tex]v^{2}[/tex] = [tex]u^{2}[/tex] + 2as,

a =  [tex]v^{2}[/tex] - [tex]u^{2}[/tex]   / 2s

v = velocity

s = distance

a = acceleration

Put the values in this formula, a =  [tex]v^{2}[/tex] = [tex]u^{2}[/tex]  / 2s

a = (240× 240) - (200 × 200)/ 2 × 1200

a = 7.33 m/[tex]s^{2}[/tex]

Hence, the constant acceleration of the plane is 7.33 m/[tex]s^{2}[/tex].

Acceleration is the rate of change of velocity per unit time. It is vector quantity and its S.I. unit is m/[tex]s^{2}[/tex].

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If an astronaut weighs 148 N on the Moon and 893 N on Earth,
then what is his mass on Earth?

Answers

Answer:

So, at moon g’=1.62 m/s^2

Therefore, mg’=99N (as given , where m is the mass )

so, m=99/1.62 =61.11 kg

hence, weight on earth will be mg( where g is the acceleration due to gravity at earth, 9.8m/s^2)

61.11*9.8=598.878 N will be the weight on earth

Explanation:

hope it helps

2.using what you know about electricity, hypothesize about how parallel resistors would affect current flow. what would you expect the effective resistance of two equal resistors in parallel to be, compared to the resistance of one alone?

Answers

The effective resistance of two equal resistors connected in series is twice that of a single resistor, reducing the amount of current flowing in the circuit.

The effective resistance of two resistors connected in series is the sum of their individual resistances. Given two resistors with resistance values R1 and R2, the effective resistance, Rx, is given by:

Rₓ = R₁ + R₂        

If the resistance values of these resistors are equal, say R, then equation 1 becomes:

Rₓ = R + R

Rₓ = 2R

That is, their effective resistance is twice as strong as their individual resistances. In other words, when two equal resistors are connected in series, their effective resistance is twice the resistance of each resistor.

Ohm's law states that voltage (V) is the product of current (I) and resistance (R) i.e.

V = IR

I = V/R

We can conclude that as resistance decreases, current increases and vice versa.

As a result, connecting the two equal resistors described above in series reduces the amount of current flowing compared to having just a single resistor.

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The location of magnetic north changes over time in its relation to true north. This angular difference between magnetic north and true north is called.

Answers

The angular difference between true north and magnetic north is called declination.

What is declination?

Declination is the said to be the angle between magnetic north and geographic north in the horizontal plane that changes with time and geographic location. The true north or geographic north is a fixed point on the globe that points towards the north pole directly while the magnetic north unlike the true north changes over time, and it is the direction a compact needle points to as it aligns with the earth's magnetic field.

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A policeman notices a car speeding at 80m/s and starts chasing it. When the police car reaches the car, its speed has decreased to 50m/s within 30 seconds. What is it's acceleration

Answers

The acceleration of this car is equal to 9 meters per seconds square (m/s²).

What is an acceleration?

An acceleration can be defined as the rate of change of the velocity of a physical object or body with respect to time.

How to calculate the acceleration of this car?

In Science, the acceleration of a physical object (car) or body can be calculated by using this formula:

a = (V - U)/t

Where:  

a represents the acceleration.V is the final velocity.U is the initial velocity.t is the time measured in seconds.

Substituting the given parameters into the formula, we have;

a = (80 - 50)/30

a = 30/30

Acceleration, a = 1 m/s²

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A steam turbine has an efficiency of 40.0%. A steam engine has an efficiency of
25.0%. Suppose both devices are provided with 1000 J of thermal energy. How much
more useful work will the steam turbine do? Show your work.

Answers

Answer:

150J (joules)

Explanation:

25% efficiency of 1000J = 250J

40% efficiency of 1000J= 400J

400-250=150

A submarine begins a descent from the surface downward at an angle of 40.5 degrees with the water and continues along a straight-line path for a total distance of 397.0 meters before leveling off its path. How far (in meters) is the submarine below the surface of the water?

Answers

The submarine is 288.04 meters below the surface of the water.

As we can see,

The submarine is making an angle of 40.5° with the water surface and moving down till a displacement L of 397 meters.

The displacement L moved by the submarine will have two components because displacement is a vector quantity.

One along water surface Lcos(40.5°) and one along the line perpendicular to water surface Lsin(40.5°).

The depth D of the submarine below the water surface is along the line perpendicular to the water surface.

Here,

D = Lsin(40.5°)

Value of cos 40.5°is 0.76.

So,

D = 397×0.76

D = 288.04 meters.

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a paramecium swimming through a fluid is moving at approximately a constant velocity as a result of wiggling its cilia. what can you say about the net force that is being exerted on it while it is doing this?

Answers

In the case of a paramecium moving at a constant speed, there is no net force acting on it.

The paramecium's cilia exerts a force on water that is equal to the force that the water exerts on the paramecium's cilia, according to Newton's third law.

The strength of the viscous force the water is exerting on the paramecium will be equal to the strength of the force the paramecium's cilia are exerting on the water.

How does Paramecium use cilia?

Cilia, or tiny strands like hair, cover the whole surface of parasites like cilia, which beat rhythmically to move them and guide bacteria and other food particles into their mouths.

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A swimmer needs to cross a river as quickly as possible. The swimmer’s speed in still water is 1.35 m/s.
(a) If the river’s current speed is 0.60 m/s and the river is 106.68 m wide, how long will it take the swimmer to cross the river if he swims so that his body is angled slightly upstream while crossing, and he ends up on the far bank directly across from where he started?
(b) If he points his body directly across the river and is therefore carried downstream, how long will it take to get across the river and how far downstream from his starting point will he end up?

Answers

A swimmer needs to cross a river as quickly as possible. The swimmer’s speed in still water is 1.35 m/s.

(a) If the river’s current speed is 0.60 m/s and the river is 106.68 m wide, it will take the time swimmer to cross the river is (t) = 72.57 S, if he swims so that his body is angled slightly upstream while crossing, and he ends up on the far bank directly across from where he started.

(b) If he points his body directly across the river and is therefore carried downstream, it will take time to get across the river is (t)=72.57 S, and the distance downstream from his starting point will he end up is (S) = 43.542m.

What is velocity?

Velocity means that the covered distance in a given time. In other words mathematically distance divided by time called velocity. It can be measured in m/s and cm/s.

How can we calculate the time and distance?

(a)To calculate the time for the first case we are using the formula, S=vt.

The swimmer’s speed in still water is 1.35 m/s.=v₁=1.35j m/s.

the river’s current speed is 0.60 m/s.=v₂=0.60i m/s.

Now, let us apply the rule of relative velocity:

v=v₁+v₂=1.35j+0.60i

Or, |v|=√(1.35)²+(0.60)²

Or, |v|=1.47 m/s

Now we know the velocity of the water, v=1.47 m/s.

The wide of the river, S=106.68 m

Now we have to calculate the time to travel of the swimmer= t s

Now we put the values in above equation,

S=vt

Or, t=S/v

Or, t= 106.68/1.47

Or, t=72.57 s.

From the above calculation we can say that, If the river’s current speed is 0.60 m/s and the river is 106.68 m wide, it will take the time swimmer to cross the river is (t)=72.57 S

(b) If he points his body directly across the river and is therefore carried downstream, The time taken by the swimmer is the same as the first case.

So the time would be (t)=72.57 S.

The distance downstream from his starting point will he end up,

S = vt

Or, S= 0.6*72.57

Or, S=43.542

So according to the solution, If he points his body directly across the river and is therefore carried downstream, it will take to get across the river is (t)=72.57 S, and the distance downstream from his starting point will he end up is (S)=43.542m.

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a hockey puck with a mass of 0.11 kg is at rest on the horizontal frictionless surface of the rink. a player applies a horizontal force of 1 n to the puck. find the speed and the traveled distance 5 s later.

Answers

The solution to this ques is available in the image.

Given,

Force= 1N

Mass= 0.11kg

Time= 5sec

Force= mass X accelaration

Accelaration= velocity/ time

Speed=distance/ time

Hence, the speed is 45 m/s and the distance is 225 m.

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if the satellite has a mass of 3500 kg , a radius of 4.4 m , and the rockets each add a mass of 220 kg , what is the required steady force of each rocket if the satellite is to reach 32 rpm in 5.0 min , starting from rest?

Answers

0.145 Newton is the required steady force of each rocket if the satellite is to reach 32 rpm in 5.0 min , starting from rest

mass of satellite ( M ) = 3500 kg

radius of satellite ( r )  = 4.4 m

mass added by each rocket ( m ) = 220 kg

Angular speed of satellite = 32 rpm

Time = 5 mins  

moment of inertia

[tex]I=1/2Mr^2+4mr^2[/tex]

M = 3500 kg  m = 220 kg,  r =4.4 m

I=33880+17036

Insert values into equation ( 1 )

I =20416 kg-m^2

angular acceleration

∝ = ω / t

= ( 2π×32 ) /  3600×5

= 0.0112 rad/s²

steady force required by each rocket

Τ = I × ∝     ( 1 )

T = 4rF

Equation ( 1 ) becomes

4rF = I × ∝

Force = I×∝ / 4r

= ( 228×0.0112 ) / 4×4.4

=2.56/17.6

= 0.145 N .

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What is the frequency of light when the energy of a single photon is 1. 48 × 10-15 j?.

Answers

The frequency of light  is 3.88x10^23Hz

E = 1.55 x J/ mol

E = hv

v = (1.55 x /1mol  x 1mol/6.023 x )/6.626 x 10^34

velocity = 3.88x10^23 s-1

since 1 Hz = 1/ s = 1

velocity =3.88x10^23 Hz

The portion of the electromagnetic spectrum contains the electromagnetic radiation that the human eye perceives as light or visible light. Visible light typically possesses wavelengths between 400 and 700 nanometers (nm) or frequencies between 750 and 420 terahertz, which are halfway between infrared and ultraviolet (with longer wavelengths) (with shorter wavelengths).

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Sample question: What is the frequency of light when the energy for a mole of photons is 1. 55 × 1013 j?.

Urgent!!!!
Batman is chasing the joker. If, while gliding down towards him at 75 m/s, it takes him 30 seconds to catch him, how far away was the joker? And how many kilometers is that?

Answers

Answer:

it's 2250meters and 2.25km

Explanation:

speed= distance÷time

75=distance÷30

75×30=distance

2250 m= distance

To convert meters into Kilometres we divide by 1000 so,

2250÷1000

2.25 Km

2 and 23/75 as a percentage

Answers

2 and 23/75 as a percentage is 2.30666666666. Hope this helps! :)

On the kickoff, the football was in the air for 4 seconds before hitting the ground 53 meters away. How fast did the ball leave the foot of the kicker?

Answers

Answer:

Vx = 53 m / 4 sec = 13.25 m/s       horizontal speed

Vy = 2 sec* 9.80 m/sec^2 = 19.6 m/s      vertical speed

V = (13.25^2 + 19.6^2)^1/2 = 23.7 m/s

Check:

Range = V^2 sin 2θ / g

tan θ = 19.6 / 13.25 = 1.48     θ = 55.9 deg

R = 23.7^2 sin 112 deg / 9.8 = 53.1 m

Which is an example of an inclined plane?

ramp

zipper

knife

jar lid

Answers

a ramp. it has an angle that usually goes up or down:)
Hope this helps!

1. How does the transfer of momentum change when the velocity of the marble change?

2. How does the transfer of momentum change when the mass (number of marbles) changes?

3. How could you calculate the momentum of a single marble?

4. If two marbles together are moving at the same speed as a single marble which will have greater momentum and why?

5. Can momentum be shown as a vector? Explain why or why not?

Answers

The transfer of momentum increases when the velocity of the marble increases and vice versa.

The transfer of momentum increases when the mass (number of marbles) increases and vice versa.

The momentum of a single marble can be calculated from the product of its mass and velocity.

If two marbles together are moving at the same speed as a single marble, the two marbles will have greater momentum because of their greater mass.

Momentum can be shown as a vector because the direction of the momentum of a body is specified.

What is the momentum of a body?

The momentum of a body is the product of the mass and the velocity of the body.

Mathematically;

Momentum = mass * velocity

Since the velocity of an object is a vector, the momentum of a body is also a vector.

The momentum of a body is directly proportional to its mass and velocity.

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2. A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s2. Determine the time for the feather to fall to the surface of the moon.

Answers

The total time taken by the feather to fall to the surface of moon will be 1.29 seconds.

Given is a feather dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s².

State second equation of motion.

The second equation of motion is -

S = ut + 1/2 at²

We can write -

[S] = 1.4 m

[a] = 1.67 m/s²

[u] = 0 m/s

Using the second equation of motion -

S = ut + 1/2 at²

S = 1/2 at²

1.4 = 1/2 x 1.67 x t²

1.4 = 0.835 x t²

t = 1.29 seconds

Therefore, the total time taken by the feather to fall to the surface of moon will be 1.29 seconds.

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A ball is booted from the ground at an angle of 0 = 44 degrees with respect to the horizontal. The ball is in the air for a time im = 2.5 s before it lands back on the ground

Numerically, what is the total horizontal distance, dm in meters, traveled by the ball in the time, m?

Answers

Projectile motion is exemplified by actions like throwing a ball straight up,  a ball and giving it speed at an angle to the horizontal, or simply dropping something and letting it fall freely. Gravity is the only force acting on the object during projectile velocity.

Horizontal distance traveled by the ball is 29.86 m

What is projectile motion?A projectile is an object that is launched into the air and moves in that direction. The only force an object experiences after the initial force that launches it is gravity. The trajectory of the object is referred to as the projectile's path.The three different types of projectile motion are as follows: horizontal projectile motion. projectile motion that is oblique. motion of a projectile on an incline.Projectile motion is exemplified by actions like throwing a ball straight up, kicking a ball and giving it speed at an angle to the horizontal, or simply dropping something and letting it fall freely. Gravity is the only force acting on the object during projectile velocity.

Launch angle x  = 44 °

time period of flight = 2.5s

Time period of Projectile T = [tex]\frac{2u sin x}{g}[/tex]  , g=acceleration due to gravity

2.5 = [tex]\frac{2 X u sin 44}{9.2}[/tex]

Where u=initial velocity = 16.66 m/s

Range of Projectile is given by

R = [tex]\frac{u^{2} sin 2x }{g}[/tex]

R= [tex]\frac{16.66^{2} sin 2x44}{9.2}[/tex]

R =  29.86 m

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which of the following is a derived unit.
A. Ampere
B. kilogramme
C. Second
D. Ohm
E. Kelvin​

Answers

Answer:

D. Ohm

Explanation:

Ohm is an SI-derived unit of resistance and can be expanded to its base units of m²·kg·s¯³·A¯².

A cyclist is going downhill and begins its movement with 12.5 m/s. 30 seconds later he reaches 25 m/s and maintains that velocity for the next 60 seconds. Then he sees the finishing line and brakes until he reaches a complete stop 15 seconds later

Find the value for Acceleration for the stages where it is involved and find the total distance traveled.

Answers

1. The acceleration of the cyclist is 0.42 m/s²

2. The total distance travelled by the cyclist is 2437.5 m

1. How to determine the acceleration    

We can obtain the acceleration of theration of the cyclist as follow:

Initial velocity (u) = 12.5 m/sTime (t) = 30 secondsFinal velocity (v) = 25 m/sAcceleration (a) =?

a = (v – u) / t

a = (25 – 12.5) / 30

a = 12.5 / 30

a = 0.42 m/s²

Thus, the acceleration is 0.42 m/s²

2. How to determine the total distance

We'll begin by obtaining the distance travelled in the first 30 s. This can be obtained as follow:

Initial velocity (u) = 12.5 m/sTime (t) = 30 secondsFinal velocity (v) = 25 m/sDistance (s) = ?

s = (u + v)t / 2

s = [(12.5 + 25) × 30] / 2

s = [37.5 × 30] / 2

s = 1125 / 2

s = 562.5 m

Next, we shall determine the distance in the next 60 second.

Velocity (v) = 25 m/sTime (t) = 60 secondsDistance (s) =?

s = vt

s = 25 × 60

s = 1500 m

Next, we shall determine the distance in the last 15 seconds.

Initial velocity (u) = 25 m/sTime (t) = 15 secondsFinal velocity (v) = 0 m/sDistance (s) = ?

s = (u + v)t / 2

s = [(25 + 0) × 15] / 2

s = [25 × 30] / 2

s = 750 / 2

s = 375 m

Finally, we shall determine the total distance travelled.

Distance in the first 30 s = 562.5 mDistance in the next 60 s = 1500 mDistance in the last 15 s = 375 mTotal distance = ?

Total distance = 562.5 + 1500 + 375

Total distance = 2437.5 m

Thus, the total distance travelled is 2437.5 m

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States that if no external forces act on a group of objects, their total momentum does not change

Answers

Answer: this is true

Explanation:

if the object is moving and there is nothing stooping it, it will keep moving  

among the different forms of electromagnetic radiation emitted by the sun, which form is absorbed by plants for photosynthesis? microwaves ultraviolet visible light gamma rays infrared

Answers

Visible light , The process by which plants convert carbon dioxide, water, and sunshine into oxygen and sugar-based energy is known as photosynthesis.

What is photosynthesis?Photosynthesis is a mechanism used by plants and other living organisms to convert light energy into chemical energy that can then be released through cellular respiration to power the organism's activities.Photosynthesis is the process through which plants turn carbon dioxide, water, and sunlight into oxygen and sugar-based energy.The process through which green plants use sunlight to create their own nourishment is known as photosynthesis. Life on Earth depends on photosynthesis. There would be no green vegetation if it did not exist, and there would be no creatures if it did not exist.Photosynthesis is primarily used to convert solar energy into chemical energy, which is then stored for use at a later time. The majority of the life systems on the planet are powered.

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1. what happens when electromagnetic radiation encounters a metal object? discuss two ways that can be used to reduce interference from electrical noise.

Answers

A full circuit is required for the flow of electrical current, and all electrical energy transmissions need the formation of a circuit with two wires—one going to the recipient and the other going back to the sender.

The construction of a circuit with two wires—one going to the recipient and the other back to the sender—is necessary for all electrical energy transmissions in order for current to flow. Due to the fact that all wireless signals are essentially delivered as electromagnetic signals rather than electrical signals, electromagnetic interference, often known as EMI, is a common problem in wireless communications.

This suggests that any interference with an electromagnetic signal (wave) may cause it to be amplified, destroyed, or lost (assuming constructive interference).

The interference brought on by electromagnetic disturbance is known as electromagnetic interference. Radio frequency interference is another name for it. We refer to interference that occurs in the radio frequency spectrum as radio frequency interference.

These days, wireless communication is expanding at an unprecedented rate. Over a large concentration, a small spectrum is available. Because of this, there is a greater likelihood of mutual interference. The performance of the device and the channel can both be impacted by a slight electromagnetic disturbance. It is crucial to keep interference at a minimal for better wireless performance.

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A tennis player makes a return at a speed of 15m/s and at height of 3m to land in the court at a horizontal distanceof 12m from her. what are the possible angles of projection of the ball

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With the use of range formula, also, in multiple of 180 degree, 59 and 239 degrees are the angles of projection.

What is a Projectile ?

A projectile in kinematic under physics can be defined as any object that is projected or thrown to take a trajectory path.

Given that a tennis player makes a return at a speed of 15 m/s and at height of 3m to land in the court at a horizontal distance of 12 m from her.

Let us assume that the ball fall at height 3m. U = 0. Let us find the time

h = ut + 1/2gt²

3 = 0 + 1/2 × 9.8 × t²

3 = 4.9t²

t² = 3/4.9

t² = 0.612

t = √0.612

t = 0.782 s

Total time T = 2t

T = 2 × 0.782

T = 1.564 s

The possible angles of projection of the ball can be calculated by using the range formula

R = UcosФT

12 = 15cosФ × 1.564

12 = 23.46cosФ

cosФ = 12 / 23.46

cosФ = 0.512

Ф = [tex]Cos^{-1}[/tex] (0.512)

Ф =  59. 2 degree

Ф = 59°

Therefore,  the possible angles of projection of the ball are 59° and 239°

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