14in^2
express your answer to two significant figures and include the appropriate units.

Answer:

x = -3t² + 12

Explanation:

x vs t² is a line.

x = at² + b

The y intercept is 12.

x = at² + 12

At t² = 4s², x = 0.

0 = a(4) + 12

a = -3

Therefore, the function is:

x = -3t² + 12

Answer:

Constant speed

Explanation:

Acceleration is a change of magnitude and (or) direction of velocity, it will cause increase or decrease, or changing of the direction of the velocity.

Answer:

Explanation:

Velocity is a vector with speed and direction components. If the speed does not change, then the direction must. In order to change the direction of a velocity vector, there must be some acceleration, and it must be orthogonal to the direction of motion.

Circular motion is motion that has a constant acceleration perpendicular to the direction of travel.

__

Another kind of motion that meets the requirement is the motion of light. Light travels at a constant speed, regardless. If light changes direction (as in a gravitational field or when reflected), its direction will change, but its speed will not.

Answer:

Explanation:

Using the equation of motion v = u + at to get the speed at which the object would be travelling.

v is the final speed (in m/s)

u is the initial velocity (in m/s)

a is the acceleration (in m/s²)

t is the time taken (in  secs)

Given parameters

u = 0m/s

t = 10s

a = g = 9.8m/s²

Substituting this values into the formula;

v = 0+9.8(10)

v = 0+ 98

v  = 98m/s

Hence the rock will be travelling at a speed of 98m/s.

Answer:

a

 [tex]f = 614.3 \ Hz[/tex]

b

 [tex]f_h = 1229 \ Hz[/tex]

Explanation:

From the question we are told that

  The speed of sound in the air is  [tex]v_s = 344 \ m/s[/tex]

   The length of the test tube is  [tex]l = 14.0\ cm = 0.14 \ m[/tex]

Since the test tube is closed at on end  the frequency is mathematically represented as

        [tex]f = \frac{v_s}{ 4 l }[/tex]

=>     [tex]f = \frac{344}{ 4 * 0.14 }[/tex]

=>     [tex]f = 614.3 \ Hz[/tex]

From the part B the column of the test tube is half filled with water so the frequency becomes

    [tex]f_h = \frac{v_s}{ 2 l }[/tex]

     [tex]f_h = \frac{344}{ 2 * 0.14}[/tex]

    [tex]f_h = 1229 \ Hz[/tex]

Answer:

6.2m/s

Explanation:

v=u+at

v=7+(-0.8/2)(2)

v=7-0.8

v=6.2m/s

Answer:

6779.7m/s

Explanation:

Using

GMm/(Re +h)² = mv²/ (Re+h)

So making v subject we have

V= √GM/Re+h

So

V = √ 6.67*10^-11 x 5.97*10^24/(6371+2300)*10^3

V= 6779.7m/s

Note h = height of satellite

Re= radius of the earth

M = mass of the earth

Answer:

199.92joules

Explanation:

workdone = Mgh

mass x height x acceleration due to gravity

The complete question is as follows:

A 0.150-kg toy is undergoing SHM on the end of a horizontal spring with force constant k = 300 N/m. When the toy is 0.0120 m from its equilibrium position, it is observed to have a speed of 0.400 m/s.

Answer:

The correct answer is 0.034 J.

Explanation:

Given :

mass of the toy is m = 0.15 kg.  

The force constant of restoring force k = 300 Nm⁻¹

When the position of the toy from the equilibrium is x = 0.012m, then the  

speed of the toy vx = 0.4m s

The total mechanical energy in SHM is given by  

E=  1/2 (mv²+ kx²) = 1/2 kA²

(here, m = mass of the object, vx = velocity, k = force constant  

of restoring force, and A = amplitude of SHM.)

Hence by substituting the numerical values in equation 1, we get  

[tex]E= \frac{1}{2} (0.15* 0.4) + \frac{1}{2} (300* 0.012)[/tex]

= 0.034 J

Thus, the correct answer is 0.034 J.

Answer:

The inductive reactance also approaches zero

Explanation:

This is because from the relation

XL = 2πfL

Meaning frequency f and inductive reactance XL are directly proportional so as one approaches zero so does the other

Answer: the awnser to this question is 15

Explanation:

First you will divide the typing speed and the total number of words by the speed 2000 ÷ 50

Then divide bobs typing speed by 2000 equation 2000÷80 once you get the total both you will subtract the 2 totals together and get 15 as your awnser.

Hoped this helped!

Answer:

1.696 × 10^(-7) m on the y axis.

Explanation:

We are given the electric field as;

E = < 0, 5 × 10⁴, 0> N/C

This is written in (x, y, z) co-ordinates. So it means that it lies on the y-axis.

So,

E = 5 × 10⁴ N/C in the y direction.

Formula for Electric field is;

E = kq/r²

where;

k is a constant with a value of 8.99 x 10^(9) N.m²/C²

q is charge on the proton = 1.6 × 10^(-19) C

r is the distance

Thus, making r the subject gives;

r = √(kq/E)

Plugging in the relevant values gives;

r = √(8.99 × 10^(9) × 1.6 × 10^(-19)/(5 × 10⁴))

r = 1.696 × 10^(-7) m on the y axis.

The proton to produce this field at the origin should be put on [tex]1.696 \times 10^{(-7)} [/tex]m on the y axis.

We are given the electric field as;

[tex]E = < 0, 5 \times 10^{4}, 0> N/C[/tex]

This is written in (x, y, z) co-ordinates. So it means that it lies on the y-axis.

So,

[tex]E = 5 \times 10^{4} N/C[/tex] in the y direction.

The Formula for Electric field is;

E = kq/r²

where;

k is a constant with a value of 8.99 x 10^(9) N.m²/C²

q is charge on the proton = 1.6 × 10^(-19) C

r is the distance

Thus, making r the subject gives;

r = √(kq/E)

Now Plugging in the relevant values gives;

r = √(8.99 × 10^(9) × 1.6 × 10^(-19)/(5 × 10⁴))

r = 1.696 × 10^(-7) m on the y axis.

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Explanation:

We know that :

[tex]F = m\frac{(v - u)}{t} [/tex]

[tex]100 = 20 \frac{(v - 10)}{1} [/tex]

[tex]v(final \: velocity) = 15 \: m \: sec^{ - 1} [/tex]

Answer:

The acceleration of the proton is 2.823 x 10¹⁷ m/s²

The acceleration of the electron is 5.175 x 10²⁰ m/s²

Explanation:

Given;

distance between the electron and proton, r = 7 x 10⁻¹⁰ m

mass of proton, [tex]m_p[/tex] = 1.67 x 10⁻²⁷ kg

mass of electron, [tex]m_e[/tex] = 9.11 x 10⁻³¹ kg

The attractive force between the two charges is given by Coulomb's law;

[tex]F = \frac{k(q_p)(q_e)}{r^2}[/tex]

where;

k is Coulomb's constant = 9 x 10⁹ Nm²/c²

[tex]F = \frac{k(q_p)(q_e)}{r^2} \\\\F = \frac{(9*10^9)(1.602*10^{-19})(1.602*10^{-19})}{(7*10^{-10})^2} \\\\F = 4.714 *10^{-10} \ N[/tex]

Acceleration of proton is given by;

F = ma

[tex]F = m_pa_p\\\\a_p = \frac{F}{m_p}\\\\a_p = \frac{4.714*10^{-10}}{1.67*10^{-27}}\\\\a_p = 2.823 *10^{17} \ m/s^2[/tex]

Acceleration of the electron is given by;

[tex]F = m_ea_e\\\\a_e = \frac{F}{m_e}\\\\a_e = \frac{4.714*10^{-10}}{9.11*10^{-31}}\\\\a_e = 5.175 *10^{20} \ m/s^2[/tex]

Given:

By using Coulomb's law, the attractive force will be:

→ [tex]F = \frac{k(q_p) (q_e)}{r^2}[/tex]

By substituting the values, we get

        [tex]= \frac{(9\times 10^9)(1.602\times 10^{-19}) (1.602\times 10^{-19})}{(7\times 10^{-10})^2}[/tex]

        [tex]= 4.714\times 10^{-10} \ N[/tex]

Now,

The acceleration of proton will be:

→ [tex]F = ma[/tex]

       [tex]= m_p a_p[/tex]

or,

→ [tex]a_p = \frac{F}{m_p}[/tex]

        [tex]= \frac{4.714\times 10^{-10}}{1.67\times 10^{-27}}[/tex]

        [tex]= 2.823\times 10^{17} \ m/s^2[/tex]  

and,

The acceleration of electron will be:

→ [tex]F = m_c a_c[/tex]

or,

→ [tex]a_e = \frac{F}{m_e}[/tex]

        [tex]= \frac{4.714\times 10^{-10}}{9.11\times 10^{-31}}[/tex]

        [tex]= 5.175\times 10^{20} \ m/s^2[/tex]

Thus the above answer is correct.

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Answer: A

Explanation:

A swimmer have the most potential energy due to her position.When he is sitting on the highest diving board at the pool.

The potential energy is the due to the virtue of the position and the height. The unit for the potential energy is joule.

The potential energy is found as;

[tex]\rm PE = mgh[/tex]

The potential energy is mainly depending upon the height of the object.

When the swimmer is at the highest position, the height is maximum. Therefore, the potential energy is also maximum.

Hence, a swimmer have the most potential energy due to her position.When he is sitting on the highest diving board at the pool.

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Answer:

A. There are multiple paths that electrons can take through the circuit, and it is possible for the electron to pass through one circuit component but not another.

Explanation:

Parallel arrangement of components in an electric circuit puts different parts of the circuit on different branches. In a parallel connection, there are multiple paths for the electrons to take, and it is possible for electrons to pass through on circuit component without going through another. This is the reason why If there is a break in one branch of the circuit, electrons can still flow in other branches, and the same reason why one bulb going off in your home does prevent the other components in your home from coming on (your home is wired in a parallel electric circuit).

Answer:

45cm/s

Explanation:

If the distance traveled is 450 centimeters we can assume the speed is 45cm/s by taking the distance and dividing by the time, in this case that is 450 and 10

so our answer would be 45cm/s

Given :

Mass of tiger , m = 81 kg .

Velocity of tiger , v = 5.4 m/s .

To Find :

The momentum of tiger .

Solution :

We know , momentum of a body is given by the product of its mass and velocity .

[tex]P=m\times v[/tex]

Now , putting value of m and v in above equation , we get :

[tex]P=m\times v\\\\P=81\times 5.4 \ kg\ m/s\\\\P=437.4 \ kg\ m/s[/tex]

Therefore , the momentum of tiger is 437.4 kg m/s .

Hence , this is the required solution .

Answer:

437.4

Explanation: did the math

Answer:polarization pertains to the act or process of producing a positive electrical charge and a negative electrical charge such that between a nerve cell internal electrical charge..................

Explanation:

Explanation:

Wavelength of x-rays = 2 nm

Plane spacing, d = 0.281 nm

It is assumed to find the scattering angle for second order maxima.

For 2nd order, Bragg's law is given by :

[tex]2dsin\theta =n\lambda[/tex]

For second order, n = 2

[tex]sin\theta =\frac{n\lambda}{2d} \\Sin\theta =\frac{2\times2}{2\times0.281} \\\theta =\arcsin (7.14)[/tex]

Here, θ is not defined. Also, the wavelength of x-rays is more than the plane spacing. It means that it cannot produce any diffraction maximum.

Answer:

D

There is both a positive correlation and causation

The relationship between how hard the gas pedal is pressed and the acceleration of the car is positive correlation and causation.

From the given statement the relationship between the cause (pedal) and the effect (velocity) can be described as direct relationship.

The harder the gas pedal in a car is pressed, the velocity increases. This shows that as the force applied to the gas pedal increases (the cause of the action), the greater the velocity of the car (the effect of the cause).

Thus, we can conclude that the relationship between how hard the gas pedal is pressed and the acceleration of the car is positive correlation and causation.

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Answer:

In the absence of government, what would determine the way people act towards each other is the need to acquire means of survival such as food or shelter.

Thus, since the government regulates the rights and obligations of citizens to guarantee equal access to essential services and goods for life, in the event of the disappearance of the state as a form of social organization, people would tend to act selfishly. to provide itself with those goods and services.

Society would then return to a state of nature, where man competes with his peers for access to resources. So the need for those resources would ultimately determine the way humans relate to each other.

Throughout the absence of regulation, the necessity to gain means of subsistence, which includes extra help, would decide how individuals interact with one another.

As a consequence, while the organization governs individuals' rights and duties purpose of providing equitable access to vital services and products for life, if the community as more than just a form of social organization disappears, individuals might likely behave selfishly to offer such commodities.

Thus the response above is right.

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Answer:

speed=d/t.

s=4/5=0.8m/s.

Answer:

it develop isometric strength and endurance in glutes calves quadriceps,hamstring and adductor muscle

Complete Question

An electron travels with speed 2.0 X 10^7 m/s between two parallel charged plates. The plates are separated by 2.0 cm and are charged by a 400V battery. What magnetic field strength and direction will allow the electron to pass between the plates without being deflected.?

Answer:

The value  [tex]B = 0.001 \ T[/tex]

Explanation:

From the question we are told that

   The  speed of the electron is  [tex]v = 2.0 *10^{7} \ m/s[/tex]

    The voltage  is  [tex]V = 400 \ V[/tex]

     The distance of separation is  [tex]d= 2.0 \ cm = 0.02 \ m[/tex]

Generally the electric field is mathematically represented as

       [tex]E = \frac{V}{d }[/tex]

=>    [tex]E = \frac{400}{0.02 }[/tex]

=>     [tex]E = 20000 V/m[/tex]

Generally for the electron to pass without deflection then

     [tex]F_B = F_E[/tex]

Where [tex]F_B[/tex] is the maximum magnetic force acting on the electron which is mathematically represented as

       [tex]F_B = evBsin (\theta )[/tex]

Since we are considering maximum magnetic field then [tex]\theta = 90^o[/tex]

=>   [tex]F_B = evB[/tex]

And  

    [tex]F_E[/tex] is the electric force on the electron which is mathematically represented as

       [tex]F_E = e * E[/tex]

Here e is the charge on the electron with the value [tex]e = 1.60 *10^{-19} \ C[/tex]

=>   [tex]F_E = 1.60*10^{-19} * 20000[/tex]

=>      [tex]F_E = 3.2*10^{-15} \ N[/tex]

So

    [tex]3.2*10^{-15} = q* v B[/tex]

=>    [tex]B = \frac{3.2*10^{-15}}{ 2.0*10^7 * 1.6*10^{-19}}[/tex]

=>     [tex]B = 0.001 \ T[/tex]

Answer:

He does postive work

Explanation:

Because W= F xS sinစ

So since work is done such that Force and distance have the Sam direction

Thus စ=0

Then work is positive in value

Answer: first and third.

Explanation:

An equation is dimensionally correct if the units are the same in both sides of the equation.

first, let's define the units used:

{m} = kg

{v} = m/s

{F} = kg*m/s^2

{x} = m

{t} = s

{a} = m/s^2

Now, let's analyze each option:

1) m*v/t = F

in the left side the units are:

{m}*{v}/{t} =  kg*(m/s)*(1/s) = kg*m/s^2

And as is written above, these are the units of F, so this is correct.

2) x*v^2 = F*(x^3/x^2)

This is more trivial, in the right side we can see an F, that has mass units (kg)  and in the left side we have x and v, and we know that none of these have mass units, so this expression is not correct.

3) xt= vt^2+at^3

the units in the right side are:

{x}*{t] = m*s

in the right side are:

{v}*{t}^2 + {a}*{t}^2 = (m/s)*s^2 + (m/s^2)*s^3 = m*s + m*s

So in both sides of the equation we have the same units, then this equation is dimensionally correct.

Answer:

1.43 × 10^-2 m/s

Explanation:

Given the following :

Distance covered away from it's master = D1 = 24×10^-2 m

Time taken to cover the distance = t1 = 12.6s

Then runs halfway back D2 =

D1/ 2 = (24× 10^-2m) / 2 = 12 ×10^-2m

Time taken =T2 = T1/3 = 12.6/3 = 4.2s

Since the kitten ran in a straight line, the it is linear :

Average speed

Linear Average Velocity:

Change in distance / change in time

(D1 - D2) / (T2 - T1)

(24 - 12)×10^-2 / (12.6 - 4.2)

(12 × 10^-2)m / 8.4s

1.4285 × 10^-2

= 1.43 × 10^-2m/s