3.2 Define conservation of energy.

Answers

Answer 1

Answer:

A principle stating that energy cannot be created or destroyed, but can be altered from one form to another.

Explanation:


Related Questions

A solid, homogeneous sphere with of mass of M = 2.35 kg and a radius of R = 12.9 cm is resting at the top of an incline as shown in the figure.
The height of the incline is h = 1.29 m, and the angle of the incline is θ = 20.1°. The sphere is rolled over the edge very slowly. Then it rolls down to the bottom of the incline without slipping.
What is the total kinetic energy (translational plus rotational kinetic energy) of the sphere when it reaches the bottom of the incline?

Answers

The total kinetic energy  of the sphere when it reaches the bottom of the incline is  44.57 J.

Total kinetic energy of the sphere

The total kinetic energy of the sphere = translational + rotational kinetic energy.

Translational kinetic energy

K.E = ¹/₂mv²

K.E(bottom) = P.E(top) = mgh

K.E = (2.35)(9.8)(1.29)

K.E = 29.71 J

Rotational kinetic energy

K.E(rot) = ¹/₂Iω²

K.E(rot) = ¹/₂I(v²/R²)

where;

I is rotational kinetic energy

I = ¹/₂MR²

K.E(rot) = ¹/₂( ¹/₂MR²)(v²/R²)

K.E(rot) = ¹/₄Mv²

K.E(rot) = ¹/₄M(2gh)

K.E(rot) = ¹/₂Mgh

K.E(rot) = ¹/₂(29.71) = 14.855 J

Total kinetic energy = 29.71 + 14.855 = 44.57 J

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What is the maximum height that the water would reach in the internal network of a building, without the use of a pump, if the pressure at the sidewalk level is 1.3 kgf/cm2? (density of water 1000 kg/m3)

Answers

The maximum height to be reached by the water at the given pressure is 13 m.

Maximum height reached by the water

The maximum height to be reached by the water is calculated as follows;

P = ρgh

where;

P is the pressure of the waterρ is the density of the waterg is acceleration due to gravityh is the maximum height

1 kgf/cm² = 98066.5 Pa = 98066.5 N/m²

1.3 kgf/cm² = 127486 N/m²

h = P/ρg

h = (127486)/(1000 x 9.8)

h = 13 m

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Latency refers to the 27 seconds of time it takes for someone to refocus on driving after they finish texting or talking on the phone. true false

Answers

The term "latency" describes the 27 seconds that pass after someone has finished texting or conversing on the phone before they can concentrate again on driving. The given statement is true.

What is latency?

A measure of delay is latency. The amount of time it takes for some data to travel across a network is known as latency.

The amount of time it takes for information to travel from its source to its destination and back is often quantified as a round trip delay.

The 27 seconds that pass after someone has done texting or talking on the phone before they can focus on driving again are referred to as "latency." The assertion is accurate.

Hence, the given statement is true.

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6. A student travels 4.0 m east, 8.0 m south, 4.0 m west, and finally 8.0 m north. What is her
displacement?
What distance did she travel?

Answers

The student's path traces out a rectangle and she ends up at the same spot, so her displacement is 0 m.

On the other hand, she travels a total distance equal to the perimeter of that rectangle,

4.0 m + 8.0 m + 4.0 m + 8.0 m = 24 m

For a vector with origin at coordinate (0, 0) (horizontal, vertical) and end at (6, 8) northeast of the origin,
what is the horizontal component of the vector?

Answers

The horizontal component of the vector is determined as 6i.

Horizontal component of the vector

The horizontal component of the vector is calculated as follows;

V = (0 i, 0 j) + (6i, 8j)

V = (6i, 8j)

where;

6i is the horizontal component of the vector8j is the vertical component of the vector

Thus, the horizontal component of the vector is determined as 6i.

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Part A
How did Einstein’s and Newton’s theories differ in terms of explaining the cause of gravity?

Answers

Newton thinks that object falls due to gravity whereas Einstein thinks gravity is not the reason behind it.

How did Einstein’s and Newton’s theories differ in terms of explaining the cause of gravity?

Newton concluded that objects fall because they are pulled by Earth's gravity. Einstein's thinks that these objects do not fall due to gravity. According to Einstein, these objects and Earth just freely move in a curved spacetime

So we can conclude that Newton thinks that object falls due to gravity whereas Einstein thinks gravity is not the reason behind it.

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a bus strats from from rest. if the accleration is 2m/s,find the distance travelled and the velocity after 2 seconds​

Answers

Answer:

Velocity: 4 m/s

Distance: 4 m

Explanation:

initial velocity: u = 0 m/s

Acceleration: a = 2 m/s²

Time taken: t = 2 seconds

Distance traveled: d = (what we need to find)

Final velocity: v = (what we need to find)

---------------------------------------

v = u + at

v = 0 + 2 × 2

v = 4 m/s

---------------------------------------

d = 0 × 2 + 1/2 × 2 × (2)²

d = 1/2 × 2 × 4

d = 4 m

Lindsay is planning a flight from St. Catherines to Hamilton, which lies due west of St. Catharines.
Her aircraft flies at a speed of 200 km/h in still air. A wind of 50.0 km/h is blowing from [W 60.0° N].
In what direction must she aim the aeroplane to fly directly to Hamilton? (KU, TI)

Answers

Lindsay should fly the plane in the direction [W 12.5° S] to get Hamilton.

Using Sine rule to solve this question

Sine rule => SinA/a = SinB/b = SinC/c = constant

The magnitude of wind is 50 with an angle of 60 degrees.

The magnitude of plane is 200 and the angle at which it should fly is unknown and should be θ.

One side is 50 km/hr at an angle of 60 degrees.

sin 60°/200 = sin θ / 50

50 × sin 60° = 200 × sin θ

√3/2 = 4 × sin θ

√3/8 = sin θ

sin θ = 0.2165

θ = sin⁻¹(0.2165)

θ = 12.5°

So Lindsay have to fly the plane in the direction of [W 12.5° S].

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A mass of 2kg is attached to the end of a vertical wire of length 2m and diameter 2mm extend the wire by 1mm. Calculate the young modulus of the wire

Answers

The applied load =F=mg=2×9.8=19.6N
diameter =1mm=1×10
−3
m
=> radius=0.5×10
−7
m
Area , A=3.14r
2
=3.14×0.25×10
−6

=0.785×10
−6

We know that,
stress=Force/area
=19.6/0.785×10
−6

24.96×10
−6

change in length,ΔL=1mm=10
−3
m
Length,L=3m
hencestrain=ΔL/L
=10
−3
/3
we know that young's modulus is given by the ratio of stress and strain,
Hence,
E=24.96×10
−6
/10
−3
/3
=74.8×10
9

=7.48×10
10
Nm
−2

. A wheel of diameter 0.2 m starts from rest and accelerated with constant angular acceleration to an angular velocity of 900 rev min¹ in 5 s. (a) Find the position at the end of 1 s of a point originally at the top of the wheel. (b) Compute and show in a diagram the magnitude and the direction of the acceleration at the end of 1 s.​

Answers

(a)The position at the end of 1 s of a point originally at the top of the wheel will be 9.425 radians.

(b)The magnitude and the direction of the acceleration at the end of 1 s will be 1.885 m/sec² clockwise.

What is angular acceleration?

Angular acceleration is defined as the pace of change of angular velocity concerning time.

Given data;

Diameter of the wheel,d = 0.2 m

Initial velocity,ω₀ = 0

Angular acceleration,α = c

n = 900 rev min¹

ω = 94.2478 rad /sec

Time of rolling,t = 5 s

From Newton's first equation of motion;

ω = ω₀ + αt

94.2478 rad /sec  = 0 + α(5 sec)

α  = 18.85 rad/sec²

The position at the end of 1 s of a point is found as;

Θ = ω₀t+1/2(αt²)

Θ = 0+1/2[(18.85 rad/sec²) × (1 sec)²]

Θ = 9.425 radian

The magnitude and the direction of the acceleration at the end of 1 s are found as;

a = αr

a= 18.85 rad/sec² × 0.1 m

a = 1.885 m/sec²

Hence the position at the end of 1 s and magnitude and the direction of the acceleration at the end of 1 s will be  18.85 rad/sec²and the magnitude and the direction of the acceleration at the end of 1 s will be 1.885 m/sec² clockwise.

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Two loudspeakers, 3.5 m apart and facing each other, play identical sounds of the same frequency. You stand halfway between them, where there is a maximum of sound intensity. Moving from this point toward one of the speakers, you encounter a minimum of sound intensity when you have moved 0.15 m . Assume the speed of sound is 340 m/s .

a. What is the frequency of the sound?
b. If the frequency is then increased while you remain 0.15 m from the center, what is the first frequency for which that location will be a maximum of sound intensity?

Answers

For the given question the answer to the first part is that frequency of sound will be 404.76 Hz. and answer to the second part will be that the initial frequency for which that place will have the highest level of sound intensity

Given, the speed of sound 340 m/s

a) L1 + L2 = 3.5 m

and Ld = | L1 - L2 | = ( 1.75 + 0.21 ) - (1.75 - 0.21 ) = 1.96 - 1.54 = 0.42 m

Ld = λ/2

λ = 2Ld = 2×0.42 = 0.84 m

and finally,

f = v/λ

f = 340/0.84

f = 404.76 hertz

Frequency came out to be 404.76 hertz in this case

b) For the first frequency

0.42 = λ

f = v/λ

f = 340 / 0.42

f = 809.52 Hertz

Frequency came out to be 809.52 Hertz in this case.

To conclude with we can say that the Frequency of the sound in case on came out to be 404.76 hertz which is approximately 405 Hz after applying all the concepts and calculations, in second case first frequency for which that location will be a maximum of sound intensity came out to be 809.52 Hertz after applying all the concepts and calculations.

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A force F1 of magnitude 5.90 units acts on an object at the origin in a direction = 36.0° above the positive x-axis. A second force F2 of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find graphically the magnitude and direction of the resultant force F1 + F2.

Answers

The magnitude and direction of the resultant force will be 7.65 units and 40.2°.

What is force?

Force is explained as the multiplication of mass and acceleration. Its unit is N. It is the external agent which helps to change the shape and size of an object.

Force is used to push and pull the object and sometimes changes the direction of motion. The net force acting on an object is equal to the sum of all forces acting upon it.

F = F1 + F2 + F3

Given data;

Megnitude of force 1, F₁ =  5.90 units

Megnitude of force 2, F₂ = 5.00 units

α is the angle between the two forces=36.0°

Θ is the angle of the resultant force

The megnitude of the resultant force is;

[tex]\rm F =\sqrt{ F_{1}+F_{2}+2F_{1}F_{2}cos \alpha }\\\\ F = \sqrt{5.90 + 5.00 +2 \times 5.90 \times 5 \times cos 36^0 } \\\\ F = 7.65 \ units[/tex]

The direction of the resultant force is;

[tex]\rm \theta = tan^{-1}(\frac{F_{2}}{F_{1}} )[/tex]

[tex]\rm \theta = tan^{-1}(\frac{5.00}{5.90})\\\\ \theta = 40.2 ^0[/tex]

Hence the magnitude and direction of the resultant force will be 7.65 units and 40.2°.

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A slinky spring 3m long rests on a horizontal bench with one end fixed. When the free end is suddenly pushed forward, the compression pulse travels to the fixed end and back in 2 secs. What is the speed of the longitudinal waves along the spring? What is the wavelength of the longitudinal waves produced when the free end is moved to and fro with a frequency of 2.5Hz? A slinky spring 3m long rests on a horizontal bench with one end fixed . When the free end is suddenly pushed forward , the compression pulse travels to the fixed end and back in 2 secs . What is the speed of the longitudinal waves along the spring ? What is the wavelength of the longitudinal waves produced when the free end is moved to and fro with a frequency of 2.5Hz ?​

Answers

The speed of the longitudinal waves along the spring is 1.5 m/s.

The wavelength of the longitudinal waves produced when the free end is moved to and fro is 0.6 m.

What is wavelength?

The wavelength is the distance between the adjacent crest or trough of the sinusoidal wave. The wavelength is the reciprocal of the frequency of the wave.

Wavelength λ = c/f

where c is the speed of light in vacuum = 3*10⁸ m/s

A slinky spring 3m long rests on a horizontal bench with one end fixed. When the free end is suddenly pushed forward, the compression pulse travels to the fixed end and back in 2 secs.

λ = v/f

v =fλ =λ /T where T is the time period = 2sec

Put the values we get

v = 3/2 =1.5 m/s

Thus, the speed of wave is 1.5 m/s.

Using the same expression for frequency 2.5Hz, wavelength is

λ = v/f

λ = 1.5 /2.5 = 0.6 m

Thus,  the wavelength is 0.6m.

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A thin flexible gold chain of uniform linear density has a mass of 17.1 g. It hangs between two 30.0 cm long vertical sticks (vertical axes) which are a distance of 30.0 cm apart horizontally (x-axis), as shown in the figure below which is drawn to scale.
Evaluate the magnitude of the force on the left hand pole.

Answers

The magnitude of the force on the left-hand pole is mathematically given as

f'=0.167N

[tex]Q=45 \textdegree[/tex]

What is the magnitude of the force on the left-hand pole.?

Generally, the equation for Force is  mathematically given as

[tex]F=\frac{mg}{sin\theta}[/tex]

Therefore

[tex]F=\frac{17.1*10^{-3}*9.8}{sin45}[/tex]

F=0.237N

Considering horizontal

f'-fcos=0

Therefore

f'=0.237*cos45

f'=0.167N

In conclusion, the slope

[tex]tan\theta=lv/ln\\\\tan\theta=30/30\\\\\theta=tan^{-1}\\\\[/tex]

[tex]Q=45 \textdegree[/tex]

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A treasure chest full of silver and gold coins is being lifted from a pirate ship to the shore using two ropes as shown in the figure. The mass of the treasure chest is 75.6 kg.
What is the tension in rope A?
How much tension does rope B carry?
And what is the tension in rope C?

Answers

The tension in rope A is 740.88 N, the tension carried by rope B is 751.4 N and the tension carried by rope C is -124 N.

Angle made by B with respect to horizontal

tan θ = Δy/Δx

tan θ = (10 - 4)/(5 - 4)

tan θ = 6

θ = arc tan (6) = 80.53

Net force in vertical direction

C sin(0) + B sin(80.53)  = A sin(90)

C sin(0) + B sin(80.53)  = (75.6 x 9.8)

0 + 0.986 B = 740.88

0.986 B = 740.88

B = 740.88/0.986

B = 751.4 N

Net force in horizontal direction

C cos(0) + B cos(80.53) = (75.6 x 9.8) cos(90)

C + 0.165 B = 0

C + 0.165(751.4) = 0

C + 124 = 0

C = - 124 N

Thus, the tension in rope A is 740.88 N, the tension carried by rope B is 751.4 N and the tension carried by rope C is -124 N.

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The bars in the drawing above are magnets. According to chapter 21 which of the following picture(a) is true? Explain. Then explain why the other 2 pictures are incorrect. Make sure to explain all 3 sets.

Answers

Picture 1 is correct because the magnetic lines of forces originate from the North pole and are directed towards  the south pole.Picture 2 is incorrect because unlike poles attractPicture 3 is incorrect because like poles repel.

What are magnets?

Magnets are materials which are able to attract others to themselves by producing a magnetic field.

Based on the properties of magnetic lines of forces;

Picture 1 is correct because the magnetic lines of forces originate from the North pole and are directed towards  the south pole.Picture 2 is incorrect because unlike poles attractPicture 3 is incorrect because like poles repel.

In conclusion, the law of magnetism states that like poles repel whereas unlike poles attract.

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2. A transformer has 300,000 windings in its primary coil and uses 12,000V AC input. Show your work!
A) (4 points) How many windings would be needed to produce at output of 110V AC? Is this a step down or step up transformer?


B) (3 points) Explain why a transformer only works with AC and not DC currents.

Answers

The number of windings that would be needed to produce an output of 110V AC will be 2750.

What is induced voltage?

Electromagnetic induction is what causes the induced voltage. Electromagnetic induction is the process of generating emf (induced voltage) by subjecting a conductor to a magnetic field.

Typically, a transformer's primary winding is attached to the input voltage source and changes electrical power into a magnetic field.

The secondary winding's role is to turn this alternating magnetic field into electricity, generating the necessary output voltage.

The relation between the primary and the secondary winding is;

[tex]\rm \frac{V_s}{V_p}= \frac{N_s}{N_p} \\\\ \frac{110}{12000}= \frac{N_S}{300000} \\\\ N_s = 2750 \[/tex]

Transformers can only operate on AC current, since a flux shift is required for the induction process.

Additionally, since there won't be any flux change phenomena in the DC supply, the induction process can't take place. Transformers are utilized in AC supplies because of this.

Hence, the number of windings that would be needed to produce an output of 110V AC will be, 2750 and a transformer only works with AC.

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20. What is the meaning of intuition?
A. Using facts and observations to make a conclusion
B. Quickly understanding something without needing mental reasoning
C. Praising others instead of criticizing
D. Making decisions with strict requirements

Answers

Answer:

B) Quickly understanding something without needing mental reasoning

Answer:

[tex]\huge\boxed{\sf Option \ B}[/tex]

Explanation:

Intuition means:Taking quick decisions.Understanding quickly without using the conscious mind.Instinct.

So, Intuition actually means quickly understanding something without needing mental reasoning.

[tex]\rule[225]{225}{2}[/tex]

A crate with a mass of 175.5 kg is suspended from the end of a uniform boom with a mass of 94.7 kg. The upper end of the boom is supported by a cable attached to the wall and the lower end by a pivot (marked X) on the same wall.
Calculate the tension in the cable.

Answers

The tension in the cable is mathematically given as

T =266.659 N

What is the tension in the cable.?

Generally, the equation for the angle of the boom with horizontal is  mathematically given as

A = tan-1(5 /10)

[tex]A= 26.57 \textdegree[/tex]

The angle of cable with horizontal

B = tan-1(4 / 10)

B= 21.80 degrees

Hence

175.5 * cos26.57 + 94.7 *cos26.57 * 1/2 = T (sin(26.57+21.80)) * 1

T =266.659 N

In conclusion, the tension in the cable.

T =266.659 N

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Which of the following most directly shows how society affects physics? A. Elected officials make decisions about what research is funded. B. Physicists work on projects that will get them nominated for Nobel prize. C. Citizens panel provide input on most research projects. D. Governments budget money for national science- funding agencies

Answers

The option above which most directly shows how society affects physics is that physicists work on projects that will get them nominated for Nobel prize.

Who is a physicist?

A physicist is a person who who studies physics.

Physics is one of the branches of science which involves the study of matter, light, mechanics...

In conclusion: the option below which most directly shows how society affects physics is that physicists work on projects that will get them nominated for Nobel prize.

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Mithun wants to test if a convex lens produces an inverted image of an object placed at a distance away from the lens. Which of the following should he use directly as an object for the test?

a. A

b. B

c. C

d. D​

Answers

Answer:

(D) any of these objects can be used as long as all points on the object lie farther away from the lens than the focal length of the lens.

Points lying between the focal point and the lens will be erect and will not form an object visible on a screen.

Three ropes A, B and C are tied together in one single knot K. (See figure.)
If the tension in rope A is 65.3 N, then what is the tension in rope B?

Answers

The tension in the rope B is determined as 10.9 N.

Vertical angle of cable B

tanθ = (6 - 4)/(5 - 0)

tan θ = (2)/(5)

tan θ = 0.4

θ = arc tan(0.4) = 21.8 ⁰

Angle between B and C

θ = 21.8 ⁰ + 21.8 ⁰ = 43.6⁰

Apply cosine rule to determine the tension in rope B;

A² = B² + C² - 2BC(cos A)

B = C

A² = B² + B² - (2B²)(cos A)

A² = 2B² - 2B²(cos 43.6)

A² = 0.55B²

B² = A²/0.55

B² = 65.3/0.55

B² = 118.73

B = √(118.73)

B = 10.9 N

Thus, the tension in the rope B is determined as 10.9 N.

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3. a) (4 points) Compare and contrast magnetic and electric fields. Your answer should include at least 2 ways they are similar and 2 ways that they differ.


b) (4 points) Include a diagram of an electric field for a positive test charge and a diagram for a typical bar magnet. Make sure you show the field lines (including direction) and label the charges and poles.

Answers

A magnetic field is a field explaining the magnetic influence on an object in space.

A electric field is a field defined by the magnitude of the electric force at any given point in space.

What are magnetic field and electric fields?

A magnetic field is a field explaining the magnetic influence on an object in space.

A electric field is a field defined by the magnitude of the electric force at any given point in space.

The difference between magnetic fields and electric filed are:

Electric Filed

Magnetic fields creates an electric charge in surrounding.It is measured as newton per coulomb, volt per meter.An electric field is measured using an electrometer.It is proportional for the electric charge.

Magnetic Filed:

Magnetic filed creates an electric charge around moving magnets.It is measured as gauss or tesla.The magnetic field is measured using the magnetometer.It is proportional to the speed of electric charge

Similarities between Electric and Magnetic Field

Both are vector quantitiesBoth are measurableBoth produce attraction and repulsion forcesBoth are proportional to electrical charge

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A car moves at a speed of 45 km/h, when traveling 1500 meters, how long did it take to go that distance?

Answers

Thus, the car would travel a distance of 50 metres in 4 seconds.

The rms voltage is given by the following.
ΔVrms = ΔVmax/[tex]\sqrt{2}[/tex] = 0.707ΔVmax

Substituting the maximum voltage, we obtain
ΔVrms = ΔVmax/[tex]\sqrt{2}[/tex]

= 0.707ΔVmax = 0.707(165 V) = 117 V.
An rms voltage of 117 V corresponds to a maximum voltage of 165 V.


What is the maximum current Imax in the resistor?

Answers

The maximum current in the resistor is determined by dividing root mean square current by 0.7071.

Maximum current in the resistor

The maximum current in the resistor is calculated as follows;

I₀ = I(rms)/0.7071

where;

I₀ is the peak current or maximum current in the resistorI(rms) is the root mean - square current

Thus, the maximum current in the resistor is determined by dividing root mean square current by 0.7071.

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A proton has a positive electric charge of q = 1.6 × 10–19 coulombs. what is the electric potential at a point 5.3 × 10–11 m from the proton? 4.4 × 10–18 volts 2.7 × 101 volts 3.0 × 10–9 volts 5.1 × 101 volts

Answers

B. The electric potential at the given point from the proton is 2.7 x 10¹ volts

Electric potential of the proton

The electric potential of the proton is calculated as follows;

V = kq/r

where;

k is Coulomb's constantq is charger is distance

V = (9 x 10⁹ x 1.6 x 10⁻¹⁹)/(5.3 x 10⁻¹¹)

V = 27.2 volts

V = 2.7 x 10¹ volts

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An archer shoots an arrow at a 74.0 m distant target, the bull's-eye of which is at same height as the release height of the arrow.
(a) At what angle must the arrow be released to hit the bull's-eye if its initial speed is 33.0 m/s? (Although neglected here, the atmosphere provides significant lift to real arrows.)
°
(b) There is a large tree halfway between the archer and the target with an overhanging branch 3.50 m above the release height of the arrow. Will the arrow go over or under the branch?
under
over

Answers

A. The angle at which the arrow must be released to hit the bull's-eye is 20.7 °

B. The arrow will go over the branch.

A. How to determine the angleRange (R) = 74 mInitial velocity (u) = 33 m/sAcceleration due to gravity (g) = 9.8 m/s²Angle (θ) = ?

R = u²Sine(2θ) / g

74 = 33² × Sine (2θ) / 9.8

Cross multiply

74 × 9.8 = 33² × Sine (2θ)

725.2 = 1098 × Sine (2θ)

Divide both sides by 1098

Sine (2θ) = 725.2 / 1098

Sine (2θ) = 0.6605

Take the inverse of sine

2θ = Sine⁻¹ 0.6605

2θ = 41.3

Divide both sides by 2

θ = 41.3 / 2

θ = 20.7 °

B. How to determine if the arrow will go over or under the branch

To determine if the arrow will go over or under the branch situated mid way, we shall determine the maximum height attained by the arrow. This can be obtained as follow:

Initial velocity (u) = 33 m/sAcceleration due to gravity (g) = 9.8 m/s²Angle (θ) = 20.7 °Maximum height (H) = ?

H = u²Sine²θ / 2g

H = [33² × (Sine 20.7)²] / (2 ×9.8)

H = 6.94 m

Thus, the maximum height attained by the arrow is 6.94 m which is greater than the height of the branch (i.e 3.50 m).

Therefore, we can conclude that the arrow will go over the branch

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Two straight long parallel wires, separated by a distance of 1.0 m, carry a current of 4.00
each. A third wire is arranged perpendicular to the two parallel wires. If the magnetic field at a point equidistant from all the wires is zero, find the current in the third wire.

Answers

The magnitude of the current in the third wire is 8 A.

Total magnetic field

E₁ + E₂ + E₃ = 0

Equidistance from the two wires = 0.5 m

Apply Biot Savart rule to determine the magnitude of the magnetic field.

μI/2πr₁ + μI/2πr₂ + μI/2πr₃ = 0

(4π x 10⁻⁷ x 4)/(2π x 0.5) + (4π x 10⁻⁷ x 4)/(2π x 0.5) + (4π x 10⁻⁷ x I₃)/(2π x 0.5) = 0

4 x 10⁻⁷ I₃ = -3.2 x 10⁻⁶

I₃  = (-3.2 x 10⁻⁶)/(4 x 10⁻⁷)

I₃ = - 8 A

Thus, the magnitude of the current in the third wire is 8 A.

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A cup of tea at room temperature of 24°C is heated until it has twice the internal energy. Calculate the final temperature of the tea.

Answers

The final temperature of the tea cup is 100°C.

What is internal energy?

The Internal energy is the energy of a substance due to to the constant random motion of its particles.

The symbol for internal energy of a substance is U and it is measured in Joules.

ΔU = q + W

q is the heat, q = mcΔTW is the mechanical work.

In conclusion,  the final temperature of the tea cup at room temperature of 24 °C which is heated until it has twice the internal energy is 100°C.

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What is standard one kilogram ?​

Answers

2.2 pounds = 1 kilogram

Answer:

As of the 2019 redefinition of the SI base units, the kilogram is defined in terms of the second and the metre, both based on fundamental physical constants.

It is defined as the mass of a particular international prototype made of platinum-iridium and kept at the International Bureau of Weights and Measures. It was originally defined as the mass of one liter (10-3 cubic meter) of pure water. At the Earth's surface, a mass of 1 kg weighs approximately 2.20 pounds ( lb ).

Explanation:

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