an engine flywheel initially rotates counterclockwise at 6.75 rotations/s. then, during 23.1 s, its rotation rate changes to 2.97 rotations/s clockwise. find the flywheel's average angular acceleration (including its sign) in radians per second squared. define counterclockwise rotation as positive

The mass of the block is 4 kg and the force applied on the block is 8 N. So, the acceleration of the block will be 2 m/s².

The rate at which an object's velocity varies with respect to time is referred to as acceleration in mechanics. accelerations' magnitude as a vector. Depending on which way the net force is pulling on an object, it will accelerate in that direction.

Acceleration has a magnitude and a direction, making it a vector quantity. Vessel quantities include velocity as well. The definition of acceleration is the change in the vector of velocity over a time interval divided by the time interval.

According to the question, the given values are :

Block mass, m = 4 kg

Force applied on the block, f = 8 N

[tex]Force = mass *acceleration[/tex]

a = 8/4

a = 2m/s².

Hence, the acceleration of the block will be 2m/s².

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While negative point charges always move in the direction of the opposing electric field, positive point charges always move in the other direction. An electric field is a vector quantity. They cannot be added directly, but they can be vectorially inserted.

A physical field called an electric field surrounds electrically charged particles and attracts or repels all other charged particles nearby. It can also refer to the physical field surrounding a system of charged particles.

While negative point charges always move in the direction of the opposing electric field, positive point charges always move in the other direction. An electric field is a vector quantity.

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Answer:

20 N

Explanation:

Vertical component will be   44 sin 63

HORIZONTAL component is  44 cos 63  N = 19.97 =~ 20 N

Given data:

1) Runner jogged 40 m at a slow pace for 40 sec.

2) Stopped for 40 sec.

3) Again funs for 60 m in 20 sec.

Answer:

C. A ray incident parallel to the axis refracts so that it passes through the focus on the right hand side

Explanation:

The third ray is the blue ray in the following figure

Therefore, the third ray is a ray parallel to the axis that refracts and passes through the focus of the right side.

So, the answer is:

C. A ray incident parallel to the axis refracts so that it passes through the focus on the right hand side

Answer:

Explanation:

Momentum = m * v  = .12 * 150 = 18 kg m/s

Answer:

23.5 m

Explanation:

25 m * cos 20   =23.5 m

The magnitude of electromotive force is 0.13 volt.

We need to know about the electromotive force of induction to solve this problem. The emf induction appears when there is any change in magnetic flux. The magnitude of emf can be determined by

ε = N dΦ / dt

where N is coil turns, ε is electromotive force, dΦ is change in magnetic flux and dt is time interval.

From the question above, the parameters given are

B1 = 3T

B2 = 6T

dt = 2 s

N = 17

A = 50 cm² = 5 x 10¯³ m²

Find the change in magnetic flux

dΦ = (Φ2 - Φ1)

dΦ = (B2 . A - B1 . A)

dΦ = A (B2 - B1)

dΦ = 5 x 10¯³(6 - 3)

dΦ = 15 x 10¯³ Tm²

By substituting the given parameters, we can calculate electromotive force

ε = N . dΦ / dt

ε = 17 . 15 x 10¯³ / 2

ε = 0.13 volt

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Answer:

The President can issue executive orders, which direct executive officers or clarify and further existing laws.

The President also has the power to extend pardons and clemencies for federal crimes.

Explanation:

(d) 50N/C

The magnitude of the electric field at point 'P' is 50N/C.

It is derived from the basic concepts of Electrostatics. Coulomb's Law is the basis of relations in Electrostatics. It resembles Newton's Law of Gravitation.

Using the relation between Electric force, charge, and Electric field:

                                          F = qE

                                     200 = (4)E

                                          E = 50N/C  

It is widely used in the calculation of Electric Force and Electric Field. The S.I. Unit of the Electric Force is Newton. The S.I. Unit of the Electric Field is N/C. The S.I. Unit of charge is Coulomb.

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[tex]X=150m/s * 4.518s =677.63m[/tex] far short of the target  it will drop the package.

First we can find the total time in order to reach the ground using the following kinematic formula:

[tex]y_{f} =y_{i}+v_{iy}+ \frac{1}{2} gt^{2}[/tex]

And replacing we have:

[tex]-100 =0+0- \frac{1}{2} (9.8)t^{2}[/tex]

And solving for t we got:

[tex]t=\sqrt{ \frac{2* (-100)}{-9.8} }=4.518 s[/tex]

And now we can find the final distance on the x axis using the formula:

[tex]D = Vxt[/tex]

The velocity on x not changes and is the same plane speed [tex]Vx=150m/s[/tex] , if we replace we got:

[tex]X=150m/s * 4.518s =677.63m[/tex]

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A truck is traveling at a constant velocity of 30 m/s. It  will take the time to travel 1000 meters is (t)=33.33 S.

The velocity means the ratio of distance and time. Mathematically it means the distance divided by time. It can be measured in m/s and cm/s.

To calculate the time we are using thee formula here is,

S=vt

Or, t=S/v

Here we are given,

S = The covered distance of the car = 1000 m

v= The velocity of the car. = 30 m/s.

We have to calculate the time taken by truck = t

Now we put the values in the above equation, we get

t=S/v

Or, t=1000/30

Or, t=33.33 S

From the calculation we can say that,  It will take the time to travel 1000 meters is (t)=33.33 S.

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The ratio of the heads of arkansas' reservoir to west virginia's reservoir is 1813 : 1120

Consider the West virginia reservoir,

To calculate the head of the virginia reservoir, we will use

φ = P / nρgh                      ...(1)

where φ is the flow rate, P is the power generated, n is efficiency, ρ is the density of water, g is the acceleration due to gravity and h is the head.

Given that flow rate is 7 m/s, power generated is 12 mw, 80% is the efficiency.

We know that density of water is 1000 [tex]kg/m^{3}[/tex] and  acceleration due to gravity is 9.8 [tex]m/s^{2}[/tex]

By using equation (1)

h = P / φnρg

h = [tex]\frac{12}{7 * \frac{80}{100} * 1000*9.8 }[/tex]

h = 13440

Similarly, the head of the arkansas reservoir will be

Given that flow rate is 3 m/s, power generated is 9 mw, 74% is the efficiency.

h = P / φnρg

h = [tex]\frac{9}{3 * \frac{74}{100} * 1000*9.8 }[/tex]

h = 21756

Now, the ratio of the heads of arkansas' reservoir to west virginia's reservoir is

= (heads of arkansas) / (head of the virginia)

= 21756 / 13440

= 1813 : 1120

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Answer: The answer is the letter

A

Explanation:

Because displacement Its a vector and the letter A says than displacement is a vector quality showing total length of an area traveled by a particular object.

Answer:

(Question 1) Which answer best describes displacement?

(Answer) Displacement is a vector quality showing total length of an area traveled by a particular object.

(Question 2) Kelley is playing pool and hits the cue into the nine ball, which is directly in the center of the pool table. The nine ball travels a total of 7 meters before stopping, 1 meter to the left of the initial starting point of the nine ball. Which sentence reflects the correct statement regarding distance and displacement when considering the motion of the nine ball?

(Answer) The nine ball traveled a distance of 7 meters and was displaced by 1 meter.

(Question 3) What is velocity?

(Answer) Velocity is a vector quantity that tells the distance an object has traveled over a period of time.

(Question 4) Imagine a time-position graph where the velocity of an object is constant. What will be observed on the graph concerning the slope of the line segment as well as the velocity of the object?

(Answer) The slope of the line is equal to zero and the object will be stationary.

(Question 5) Select the option that best summarizes the reason for the use of position-time graphs when studying physical science.

(Answer) The position-time graphs show the relationship between the position of an object (shown on the y-axis) and the time (shown on the x-axis) to show velocity.

Explanation:

just did the quick check, UwU enjoy

It is same for both the balls. Due to the fact that balls fall freely regardless of their weight, both metallic balls take the same amount of time to reach the ground.

When two identically sized objects are dropped from a certain height, they will fall with gravitational acceleration (g). The weight of the objects will not affect how long it takes them to reach the ground. The density of the medium in which an object is dropped affects how long it takes for each object to travel there. Due to the influence of gravity and the same medium, we can therefore infer that both metal balls will take the same amount of time to reach the ground (air). Experiments have been conducted in vacuum rooms and show that when the balls are released from the top of the store, the acceleration of attraction to the floor is gravity and it has a value of 9.8 meters/square second regardless of its weight.

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If the speed of the car is increased by 65%, the stopping distance of the car will be increased by 272.25%.

Let us say, the car is moving with velocity U, the stopping time of the car is T and the stopping distance of the block is d,

Now, we should use the equation of motion,

U²-V² =2aD

Where,

U is initial velocity,

V is final velocity,

D is the stopping distance,

a is the acceleration.

We know, at the final velocity will be zero,

So,

U² = 2aD

U =√(2aD)

Now, if the speed is increased by 65%, let us say the stopping distance becomes D'.

So,

U+65%U = √(2aD')

165U/100 = √(2aD')

Now, putting U = √(2aD),

165√(2aD)/100 = √(2aD')

(1.65)²D = D'

D' = 2.7225D

Now,

∆D = D' - D/D × 100

∆D = 2.7225 × 100

∆D = 272.25%

So, the stopping distance increased by 272.25%.

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The resultant displacement of the tennis ball is 8 m northward.

The displacement of an object is the change in the position of the object. The displacement of an object describes the shortest point between the final and initial position of an object.

The displacement of the tennis ball is calculated as follows;

d = (12 m north + 34 m north) - (22 m south + 16 m south)

d = (46 m north) - (38 m south)

d = 8 m northward

Thus, the resultant displacement of the tennis ball for the given motion is 8 m northward.

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The compete question is below:

A tennis ball moves 22 meters southward, then 12 meters northward, then 16 meters southward, and finally 34 meters northward. find the resultant displacement of the tennis ball.

After every movement in north and south direction multiple times, the displacement of the tennis ball is 8 meters in north direction.

The definition of displacement is the modification of an object's position. It has a direction and magnitude and is a vector quantity. It is shown as an arrow that travels from the initial location to the conclusion.

According to the question, the tennis ball moves 22 meters in south direction then it moves towards north and travels for 12 meters again it turns to south and covers 16 meters and at last it covers 34 meters in the north direction.

d = (12 m + 34 m ) north direction - (22 m + 16 m ) south direction

d = 8 meters in north direction.

Hence, the total displacement done by the tennis ball is 8 meters in the north direction.

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Answer: (x=1 y=30) (x=2 y=27) (x=3 y=24) (x=4 y=21) (x=5 y=18) (x=6 y=15) (x=7 y=12) (x=8 y=9) (x=9 y=6) (x=10 y=3) etc its going down by 3 so 30-3=27 27-3=24 24-3=21 etc

hope i helped

Explanation:

Considering the definition isotopes and atomic mass of an element, the average atomic mass of element x is 12.1

The same chemical element can have the same atomic numbers, but the number of neutrons is different. These atoms are called isotopes of the element.

The atomic masses of chemical elements are calculated as the weighted average of the masses of the different isotopes of each element, taking into account the relative abundance of each of them.

In this case, you know:

The average mass of the element x can be calculated as:

average mass of element x=12 amu×0.95 + 14 amu×0.05

average mass of element x= 12.1 amu

Finally, the atomic mass of the element x is 12.1.

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Given,

The position function is, x(t)=At+bt²

A=-4.9 m/s

B=6.9 m/s²

The velocity is described as the rate of change if the displacement with time.

That is, the velocity is the time derivative of the displacement.

Therefore on differentiating the given function with respect to the time, we get the expression for the velocity.

i.e.,

Therefore the expression for the velocity is A+2Bt

To know at what time the velocity will be zero,

On simplifying the above equation,

On substituting the known values in the above equation,

Therefore the velocity will be zero at 0.71 s

The ratio between centripetal force of satellite b and satellite a is 2vm²/ ve².

We need to know about centripetal force to solve this problem. When an object moves in a circular motion, the object is experiencing centripetal force. The magnitude of centripetal force is

Fc = m . v²/R

where Fc is the centripetal force, m is mass, v is velocity and R is the radius.

From the question, we know that

ma = m

mb = 2m

va = ve

vb = vm

ra = rb = r

Find the centripetal force ratio

Fcb / Fca = (mb . vb²/Rb) / (ma . va²/Ra)

Fcb / Fca = (2m . vm²/r) / (m . ve²/r)

Fcb / Fca = 2 . vm²/ ve²

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a) The magnitude of the frictional force= -µ mg = 0.49*81*9.8 = 389 N

b)The player comes to rest after 1.6 s,  his initial velocity Vi = 7.68 m/s

Acceleration due to friction = - µ g = - 4.80 m/s^2.

V = V0 + at

V = 0

a = - 4.802 m/s^2

t = 1.6 s

V0 = V - at = 0 + 4.8*1.6 = 7.68 m/s

the acceleration of the player due to frictional force is given as

a = f/m = 388.96 /81 = 4.8 m/s2

final velocity = Vf = 0

time = t = 1.6 sec

using the formula

Vf = Vi + at          (Vi = initial velocity)

Vi = Vf - at

Vi = 0 - (-4.8) (1.6)   (a = -4.8   since player is slowing down)

Vi = 7.68 m/s

A force known as friction exists between two surfaces that are sliding or attempting to glide over one another. Friction, for instance, makes it challenging to push a book across the floor. The direction in which an object moves or attempts to move is always the direction in which friction operates. When anything moves faster or slower in a straight line, it is said to have been acceleration. Because the direction is constantly changing, even motion on a circle accelerates at a constant pace.

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A roller coaster's mechanical energy is equal to 100 Joules if its P.E. and K.E. are each 50 Joules.

As a result, the roller coaster has a mechanical energy of 100 Joules.

explanation?

50 Joules is the potential energy of a roller coaster.

A roller coaster has kinetic energy of 50 Joules.

In order to determine the roller coaster's mechanical energy:

The entire amount of potential energy (P.E.) and kinetic energy (K.E.) that an object or body possesses is known as mechanical energy.

(ME)=50+50

Mathematically, the formula for mechanical energy states that it is equal to 100 joules when the given values are substituted.

As a result, the roller coaster has a mechanical energy of 100 Joules.

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Answer:

Explanation:

Given,

Time ( t ) = 90 seconds

Distance ( d ) = 10 meter

To find : Speed ( v ) = ?

Formula : -

v = d/t

v = 10/90

v = 1/9 m/s ( meters per second )

Hence,

1/9 m/s is the speed walk in 90 seconds for the 10 meter trail.

The velocity after the collision is 27.19 m/s

For a collision between Object 1 and Object 2 in an isolated system, the total momentum of the two objects before collision equals the total momentum of the two objects after collision. That is, the momentum lost from object 1 is equal to the momentum gained from object 2 (a constant or unchanging value). It can be stated by following equation:

Pₙ = mₙvₙ

mₙvₙ = m₁v₁ + m₂v₂

Where, Pₙ = final momentum

mₙ = total mass of the system

vₙ = final velocity of the system

For the given case,

Since,  mₙvₙ = m₁v₁ + m₂v₂

(m₁ + m₂)vₙ = m₁v₁ + m₂v₂

(925 + 145)vₙ = (925 × 29.5) + (145 × 12.5)

1070 vₙ = 27287.5 + 1812.5

1070 vₙ = 29100

vₙ = [tex]\frac{29100}{1070}[/tex]

vₙ = 27.19 m/s

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The magnitude of the magnetic force each exerts on the other is 4.41 N.

The magnitude of the magnetic force depends on the current through the wire, the length of the wire, and the radius of separation. It can be written as

F = μ₀ . I1 . I2 . L / (2π . a)

where F is a magnetic force, μ₀ is vacuum permeability (4π x 10¯⁷ H/m), I1 and I2 is current through the wire, L is the length of the wire and a is the radius of the wire.

From the question above, the given parameters are

L = 300 m

a = 23 cm = 0.23 m

I1 = I2 = 130 A

By substituting the parameters, we can calculate the magnetic force

F = μ₀ . I1 . I2 . L / (2π . a)

F = 4π x 10¯⁷ . 130 . 130 . 300 / (2π . 0.23)

F = 4.41 N

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When something, like a spring, is stretched, the added length is referred to as its extension.According to Hooke's law, as long as the limit of proportionality is not crossed, a spring's extension is directly proportionate to the force exerted.

Solve the problem ?

The spring's compression at the specified weight is 0.80cm.

"Your inquiry is incomplete because it appears to be lacking the information below,"

The taptap's spring has a k value of 2.4 104 N/m.

the settings provided;

Each of the 27 people weighs 69 kg.

Each of the three goats weighs 15 kg.

Each of the five hens weighs 3 kg.

The weight of the bananas is 25 kg

The taptap's total mass, which includes every passenger, is computed as;

the people's combined mass is 27 x 70 or 1960 kg.

The goats' combined mass is 3 x 15 =45 kg.

The birds' combined mass is equal to 5 x 3 = 15 kg.

The bananas weigh a total of 25 kilograms

The extension of the spring

=   1960×9.8/2.4×104

= 19208/24000

=  0.80 cm

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