A stone with a mass m is dropped from an airplane that has a horizontal velocity v at a height h above a lake. If air resistance is neglected, the horizontal distance R from the point on the lake directly below the point of release to the point where the stone strikes the water is given by which formula? R=v(2h/g)2 None of these are correct. R = 2mv sqrt(2h/g) R = v sqrt(2h/g) R=(1/2)gt2

Answer:

Explanation:

For spring

[tex]n=\sqrt{\frac{k}{m} }[/tex]

where n is frequency of oscillation and k is force constant and m is mass

Putting the values

[tex]1.2=\sqrt{\frac{k}{.28} }[/tex]

k = .4032 N/m

F= k x

where F is force , k is force constant and x is extension

Putting the given values

1 = .4032 x

x = 2.48 m

Answer:

Intensity of the light (first polarizer) (I₁) = 425 W/m²

Intensity of the light (second polarizer) (I₂) = 75.905 W/m²

Explanation:

Given:

Unpolarized light of intensity (I₀) = 950 W/m²

θ = 65°

Find:

a. Intensity of the light (first polarizer)

b. Intensity of the light (second polarizer)

Computation:

a. Intensity of the light (first polarizer)

Intensity of the light (first polarizer) (I₁) = I₀ / 2

Intensity of the light (first polarizer) (I₁) = 950 / 2

Intensity of the light (first polarizer) (I₁) = 425 W/m²

b. Intensity of the light (second polarizer)

Intensity of the light (second polarizer) (I₂) = (I₁)cos²θ

Intensity of the light (second polarizer) (I₂) = (425)(0.1786)

Intensity of the light (second polarizer) (I₂) = 75.905 W/m²

Hello. This question is incomplete. The full question is:

A conducting sphere contains positive charge distributed uniformly over its surface. Which statements about the potential due to this sphere are true? All potentials are measured relative to infinity. (There may be more than one correct choice.)

A) The potential is lowest, but not zero, at the center of the sphere.  B) The potential at the center of the sphere is zero.  C) The potential at the center of the sphere is the same as the potential at the surface.  D) The potential at the surface is higher than the potential at the center.  E) The potential at the center is the same as the potential at infinity

Answer:

C) The potential at the center of the sphere is the same as the potential at the surface.

Explanation:

When a conductive sphere has charges that distribute evenly on its surface, it means that its interior has a zero charge cap. As a result, the outside of this sphere has a charge distribution that will be the same if the center of the sphere were charged. In this way, the center and the surface of the sphere become identical in relation to the point charge potential. In other words, this means that the null interior of the sphere has a constant potential that makes the distribution of charges within the sphere exactly equal to the distribution of charges outside the sphere.

The statement that should be true regarding the sphere is The potential at the center of the sphere.

Here the normal formula should be used i.e.  kq/R that should be determined by considering the potential at infinity also it does not contain any intervening dielectric like zero.

Also,

kq/R+c,

Here c is constant is necessary to fit with respect to the zero potential.

Hence, The statement that should be true regarding the sphere is The potential at the center of the sphere.

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Answer:

Explanation:

For magnetic field in a solenoid , the formula is

B = μ₀ n I

Where n is number of turns per unit length and i is current

Putting the values

B = 4π x 10⁻⁷ x (200 / .25) x 2

= 2.00 x 10⁻³ T  

Answer:

Pls see attached file

Explanation:

Answer:

Pencil is to pen

Step by step explanation:

They are similar items, as they are both tools, but are different as to how they function.

Explanation:

It is given that, Isaac drop ball from height of 2.0 m, and it bounces to a height of 1.5 m.

We need to find the speed before and after the ball bounce.

Let u is the initial speed of the ball when he dropped from height of 2 m. The conservation of energy holds here. So,

[tex]\dfrac{1}{2}mu^2=mgh\\\\u=\sqrt{2gh} \\\\u=\sqrt{2\times 9.8\times 2} \\\\u=6.26\ m/s[/tex]

Let v is the final speed when it bounces to a height of 1.5 m. So,

[tex]\dfrac{1}{2}mv^2=mgh\\\\v=\sqrt{2gh} \\\\v=\sqrt{2\times 9.8\times 1.5} \\\\v=5.42\ m/s[/tex]

So, the speed before and after the ball bounce is 6.26 m/s and 5.42 m/s respectively.

Answer:

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Answer:

m = 300668.9 kg

L₀ = 12.47 m

Explanation:

The relativistic mass of the space vehicle is given by the following formula:

[tex]m = \frac{m_{0}}{\sqrt{1-\frac{v^{2} }{c^{2}} } }[/tex]

where,

m = relativistic mass = ?

m₀ = rest mass = 150000 kg

v = relative speed = 2.6 x 10⁸ m/s

c = speed of light = 3 x 10⁸ m/s

Therefore

[tex]m = \frac{150000kg}{\sqrt{1-\frac{(2.6 x 10^{8}m/s)^{2} }{(3 x 10^{8}m/s)^{2}} } }[/tex]

m = 300668.9 kg

Now, for rest length of vehicle:

L = L₀√(1 - v²/c²)

where,

L = Relative Length of Vehicle = 25 m

L₀ = Rest Length of Vehicle = ?

Therefore,

25 m = L₀√[1 - (2.6 x 10⁸ m/s)²/(3 x 10⁸ m/s)²]

L₀ = (25 m)(0.499)

L₀ = 12.47 m

Answer:

The  internal resistance is  [tex]r = 0.5 \ \Omega[/tex]

Explanation:

From the question we are told that the resistance of

   The  resistance of the resistor is  [tex]R = 20.0\ \Omega[/tex]

    The  voltage is [tex]V = 12.0 \ V[/tex]

     The magnitude of the voltage fall is  [tex]e = 0.300\ V[/tex]

Generally the current flowing through the terminal due to the voltage of the battery  is  mathematically represented as

        [tex]I = \frac{V}{R}[/tex]

substituting values

        [tex]I = \frac{12.0 }{20 }[/tex]

       [tex]I = 0.6 \ A[/tex]

The internal resistance of the battery is mathematically represented as

      [tex]r = \frac{e}{I}[/tex]

substituting values

     [tex]r = \frac{0.300}{ 0.6 }[/tex]

    [tex]r = 0.5 \ \Omega[/tex]

The internal resistance of the battery is 0.5 ohms.

To calculate the internal resistance of the battery, we use the formula below

Formula:

Where:

Make r the subject of the equation

From the question,

Given:

Substitute these values into equation 2

Hence, The internal resistance of the battery is 0.5 ohms.

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Answer:

t the battery of potential difference  V be used to charge the capacitor of capacitance  C.

∴ the charge stored in the capacitor      q=CV

Now the battery is disconnected, so the the charge  of the capacitor becomes constant

i.e    q=constant     OR     CV=constant                .............(1)

Capacitance of parallel plate capacitor        C=  

d

Aϵ  

o

​  

​  

So if the distance between the plates is increased, then the capacitance will decrease which is compensated by the increase  in voltage across the capacitor according to equation (1).

Also the energy stored in the capacitor          E=  

2C

q  

2

​  

⟹E∝  

C

1

​  

                (∵q=constant)

Thus energy will increase due to the decrease in capacitance.

Explanation:

Explanation:

work = force x distance

w = 10 x 1.5 = 15Nm

The work done on the bag is the product of the force applied on it and the displacement of the bag. The work done to lift the bag up to 1.5 m by applying a force of 10 N is 15 J.

When a force applied to an object make a displacement of  the body or stopes its motion, the force is said to be work done on the object. Thus, work done can be taken as the product of force and displacement.

Work done like force is a vector quantity thus characterized with magnitude and direction.  Work done is equivalent to the energy required to make the object displaced.

Given the force = 10 N

displacement = 1.5 m

work done  = force × displacement

w = 10 N × 1.5 m = 15 J.

Therefore, the work done on the car is 15 J.

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Answer:

A: 28°

B. 1x10^-3M

Explanation:

See attached file

Answer:

the three possible movements by the change in electric potential energy (Ue) of the object are NORTH EAST SOUTH

Explanation:

This is because When the object moves south, the force is in the direction of the displacement, and positive work is done with decreasing electric potential energy.

The opposite is true if the particle moves north—that is, negative work is done with increasing electric potential energy.

No work is done and the electric potential energy is constant if the motion is perpendicular to the electric field.

Answer:

-Some synthetic polymers use materials from Earth that are nonrenewable.

-They can end up as waste products that sometimes can’t be recycled.

-They sometimes release toxins into the environment.

Explanation:

Synthetic polymers are types of polymers that are man made, that is they are polymers that are made in the labs or industries from chemical substances.

Such polymers include nylon, polyester, and polyethylene among others. These polymers are used to make many clothes and plastics that we use and see around.

Synthetic polymers have a range of disadvantages which includes. being non-biodegradable, these polymers and especially plastics may end up as waste products and pollutes the environment and end up in livers and lakes and this would be toxic for aquatic animals.

Answer:

There are 586maxima

Explanation:

Pls see attached file

Answer:

The maximum speed of the motorcycle should be 21 m/s

Explanation:

Since the hill is considered to be a circular arc, the motorcycle will experience centripetal force that tends to flip it away from the center of the hill.

Since the motorcycle does not lose contact with the ground, it means that the weight of the motorcycle downwards just balances the centripetal force on the motorcycle.

we know that the centripetal force on the motorcycle is equal to

centripetal force = [tex]\frac{mv^{2} }{r}[/tex]

where m is the mass of the motorcycle,

v is the velocity of the motorcycle,

and r is the radius of the hill = 45.0 m

Also we now that the weight of the motorcycle is equal to

weight = mg

where m is still the mass of the motorcycle,

and g is the acceleration due to gravity = 9.81 m/s

Equating the both forces since they are equal, we'll have

[tex]\frac{mv^{2} }{r}[/tex] = mg

the mass of the motorcycle will cancel out, and we'll be left with

[tex]v^{2} = gr[/tex]

[tex]v = \sqrt{gr}[/tex]

[tex]v = \sqrt{9.81*45}[/tex]

[tex]v = \sqrt{441.45}[/tex]

[tex]v[/tex] = 21 m/s

Answer:

the total charge on the disk 256pi Coulombs

Explanation:

Pls see attached file

Answer:

the firtz agrees with the expression for the shape of the curve of diracion of a slit

Explanation:

The diffraction phenomenon is described by the expression

              a sin θ = m λ

where a is the width of the slit, t is the angle from the center of the slit, l is the wavelength and m is an integer that corresponds to the maximum diffraction.

the previous equation qualitatively describes the curve of the diffraction phenomenon the equation takes the form

             I = I₀ [(sin ππ a y / R λ) / π a y / Rλ]²

             I = I₀ ’[sin π a y /Rλ]²

             I₀ ’= I₀ / (π a y /Rλ)²

By reviewing the two expressions given

equation 1

 w sin θ = m λ

where w =a  w   is the slit width

we see that the firtz agrees with the expression for the shape of the curve of diracion of a slit

Equation 2

the squares are missing

Answer:

The apple fell at a distance of 4.17 m.

Explanation:

Work is defined as the force that is applied on a body to move it from one point to another. When a force is applied, an energy transfer occurs. Then it can be said that work is energy in motion.

When a net force is applied to the body or a system and this produces displacement, then that force is said to perform mechanical work.

In the International System of Units, work is measured in Joule. Joule is equivalent to Newton per meter.  

The work is equal to the product of the force by the distance and by the cosine of the angle that exists between the direction of the force and the direction that travels the point or the object that moves.  

Work=Force*distance* cosine(angle)

On the other hand, Newton's second law says that the acceleration of a body is proportional to the resultant of forces on it acting and inversely proportional to its mass. This is represented by:

F=m*a

where F is Force [N], m is Mass [kg] and a Acceleration [m / s²]

In this case, the acceleration corresponds to the acceleration of gravity, whose value is 9.81 m / s². So you have:

Replacing:

9 J= 2.1582 N* distante* 1

Solving:

[tex]distance=\frac{9J}{2.1582 N*1}[/tex]

distance= 4.17 m

The apple fell at a distance of 4.17 m.

Answer:

D. 0.1

Explanation:

Using transformer equation,

N2/N1 = I1/I2................... Equation 1

Where N2 = secondary coil, N1 = primary coil, I1 = input current, I2 = output current.

make I2  the subject of the equation

I2 = I1/(N2/N1)............ Equation 2

From equation 2 above, For the output current of the secondary coil to be 10 times the input current, N2/N1 = 0.1

Hence the right option is D. 0.1

Answer:

Explanation:

Magnetic field at a a point R distance away

B = μ₀ / 4π X 2I / R where I is current

Magnetic field due to one current

=  10⁻⁷ x 2 x 24 / 1 x 10⁻³

48 x 10⁻⁴ T

Magnetic field due to other current

=  10⁻⁷ x 2 x 24 / 3x 10⁻³

16 x 10⁻⁴ T

Total magnetic field , as they act in opposite direction, is

= (48 - 16 ) x 10⁻⁴

32 x 10⁻⁴ T .

Answer:

Explanation:

Refraction is defined as the bending of light rays as an incident ray pass from one medium to another. If the incident ray is passing from the media with low refractive index to a greater refractive index, the refracted ray tends to bend away from the normal.

Refractive index is the ratio of the sin of angle of incidence to the sine of angle of refraction.

n = sin i/sin r

For us to have a greater index of refraction, the denominator must be lesser than the numerator. This means that the angle of refraction must be smaller and if the angle of refraction must get smaller, this means that the refracted ray must bend towards the normal

Answer:

The mass of the object is 745000 units of the sun

Explanation:

We know that the centripetal force with which the stars orbit the object is represented as

[tex]F_{c}[/tex] = [tex]\frac{mv^{2} }{r}[/tex]

and this centripetal force is also proportional to

[tex]F_{c}[/tex] = [tex]\frac{kMm}{r^{2} }[/tex]

where

m is the mass of the stars

M is the mass of the object

v is the velocity of the stars = 10^6 m/s

r is the distance between the stars and the object = 10^14 m

k is the gravitational constant = 6.67 × 10^-11 m^3 kg^-1 s^-2

We can equate the two centripetal force equations to give

[tex]\frac{mv^{2} }{r}[/tex] = [tex]\frac{kMm}{r^{2} }[/tex]

which reduces to

[tex]v^{2}[/tex] = [tex]\frac{kM}{r}[/tex]

and then finally

M = [tex]\frac{rv^{2} }{k}[/tex]

substituting values, we have

M = [tex]\frac{10^{14}*(10^{6})^{2} }{6.67*10^{-11} }[/tex] = 1.49 x 10^36 kg

If the mass of the sun is 2 x 10^30 kg

then, the mass of the the object in units of the mass of the sun is

==> (1.49 x 10^36)/(2 x 10^30) = 745000 units of sun

Answer:

The temperature gradient between the core of Mars and its surface is lower than that on Earth. So, heat moves outward more slowly on Mars than on Earth.

Explanation:

Answer:

The temperature gradient between the core of Mars and its surface is lower than that on Earth. So, heat moves outward more slowly on Mars than on Earth.

Explanation:

Edmentum sample answer

Answer:

A.3.13x10^14 electrons

B.330A/m²

C.9.11x10^5N/C

D. 0.23W

.pls see attached file for explanations

Answer:

(a) 1.5×10⁻¹¹ m.

(b) 6.7×10⁻² m

Explanation:

Note: All Electromagnetic wave travels in with the same speed, which 3×10⁸ m/s

(a) Give a frequency of 2.00×10¹⁹ Hz.

Using the equation of a wave,

V = λf................ Equation 1

Where V = Speed of electromagnetic wave, λ = wavelength, f = frequency.

make λ the subject of the equation

λ = V/f................. Equation 2

Given: f = 2.00×10¹⁹ Hz.

Constant: v = 3×10⁸ m/s.

Substitute into equation 2

λ = 3×10⁸/2.00×10¹⁹

λ = 1.5×10⁻¹¹ m.

(b) Similarly using

λ = v/f

Given: f = 4.5×10⁹ Hz, and v = 3×10⁸ m/s.

Substitute these values into equation 2 above.

λ = 3×10⁸/4.5×10⁹

λ = 6.7×10⁻² m

Answer:

Heat Flow Rate : ( About ) 87 W

Explanation:

The heat flowing out of the system each minute, will be represented by the following equation,

Q( cup ) + Q( water ) = m( cup ) [tex]*[/tex] c( al ) [tex]*[/tex] ΔT + m( w ) [tex]*[/tex] c( w ) [tex]*[/tex] ΔT

So as you can see, the mass of the aluminum cup is 150 grams. For convenience, let us convert that into kilograms,

150 grams = .15 kilograms - respectively let us convert the mass of water to kilograms,

800 grams = .8 kilograms

Now remember that the specific heat of aluminum is 900 J / kg [tex]*[/tex] K, and the specific heat of water = 4186 J / kg [tex]*[/tex] K. Therefore let us solve for " the heat flowing out of the system per minute, "

Q( cup ) + Q( water ) = .15 [tex]*[/tex] ( 900 J / kg [tex]*[/tex] K )  [tex]*[/tex] 1.5 + .8 [tex]*[/tex] ( 4186 J / kg [tex]*[/tex] K ) [tex]*[/tex] 1.5,

Q( cup ) + Q( water ) = 5225.7 Joules

And the heat flow rate should be Joules per minute,

5225.7 Joules / 60 seconds = ( About ) 87 W

Answer:

Your answer is( D) - Arago

Answer:

The magnitude of the net field located at the center of the square is the same in every of arrangement of the charges.