A glider is initially moving at a constant height of 3.72 m. It is suddenly subject to a wind such that its velocity at a later time t can be described by the equation v(t) = 16.02i − 7.96(1 + t)j + 0.76t3k, where v and its components are in meters per second, t is in seconds, and the z axis is perpendicular to the level ground. (a) What was the initial velocity of the glider? (Express your answer in vector form.)

Answer:

25N

Explanation:

soln:

given,

mass(m)=0.5kg

acceleration(a)=50m/s^2

force(F)=?

we know,

F=m*a

or,F=0.5*50

•°•F=25N

The number of turns in the solenoid is [tex]4.78\times 10^4 \ turns[/tex].

It is given that superconducting magnet in the form of a solenoid of length 0.500m can generate a magnetic field of 9.00T in its core when its coils carry a current of 75.0A .

Putting above values in equation (1) , we get

[tex]9.00=\frac{4\pi \times10^{-7}\times N \times75.0}{0.500} \\\\N=\frac{9.00\times0.500}{4\pi \times10^{-7}\times75.0} \\\\N=4.78\times10^4 \ turns[/tex]

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The tangential velocity is proportional to the length of the rope hence when the length of the rope is doubled, the tangential velocity becomes two times greater.

We know that the tangential velocity of an object moving along a circular path depends on its radius and it's angular velocity.

In this case, we have been told that the motion of the object is uniform meaning that the angular velocity is held constant and the length of the rope which is the radius was doubled.

Since the tangential velocity is directly proportional to the length of the rope, the tangential velocity will be two times greater when the length of the rope is doubled.

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Answer:

nun wbu

Explanation:

Answer:

long very very

Answer:

V=f×λ

Where,

V is the velocity of the wave measure using m/s.

f is the frequency of the wave measured using Hz.

λ is the wavelength of the wave measured using m.

transform 46 cm in m = 0.46m and there u have it

Explanation:

Answer:

W = 13.44 KN

Explanation:

First, we need to find the value of acceleration due to gravity at the specified height:

[tex]g' = g(1-2\frac{h}{R})[/tex]

where,

g' = value of acceleration due to gravity at given height = ?

g = value of acceleration due to gravity at surface of earth = 9.81 m/s²

h = height of space craft = 8.375 x 10⁶ m - 6.37 x 10⁶ m = 2.005 x 10⁶ m

R = Radius of Earth = 6.37 x 10⁶ m

Therefore,

[tex]g' = (9.81\ m/s^2)(1-2\frac{2.005\ x\ 10^6\ m}{6.37\ x\ 10^6\ m})\\\\g' = (9.81\ m/s^2)(1 - 0.315)\\g' = 6.72\ m/s^2[/tex]

Now, we can find the weight or force of gravity on space craft:

[tex]W = mg'[/tex]

where,

W = Force of gravity on space craft = ?

m = mass of space craft = 2000 kg

Therefore,

[tex]W = (2000 kg)(6.72\ m/s^2)[/tex]

W = 13.44 KN

Answer:

Electricity and magnetism are two related phenomena produced by the electromagnetic force. Together, they form electromagnetism. A moving electric charge generates a magnetic field. A magnetic field induces electric charge movement, producing an electric current.

Explanation:

The the direction of magnetic field is perpendicular to the velocity of proton and is directed towards the + z axis.

We have a proton entering a uniform magnetic field which is in a direction perpendicular to the proton's velocity.

We have to determine the direction of magnetic field.

The magnitude of force on the charged particle moving in a uniform magnetic field is given by -

F = qvB sinθ

According to the question, we have -

Entering Velocity (v) = 20 i  m/s.

Magnetic field intensity (B) = 0.3 T.

Leaving velocity (u) = - 20 j  m/s.

Now -

F = q |v| |B| sinθ

F = 1.6 x [tex]10^{-19}[/tex] x 20 x 0.3 x sin(90)

F = 9.6 x  [tex]10^{-19}[/tex]  Newton.

Now, using the Fleming's left hand rule, the the direction of magnetic field is perpendicular to the velocity of proton and is directed towards the + z axis. The force is towards the '- y' axis. Therefore -

B = + 0.3 k

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The tension force in the string will increase because the difference between the densities became increased.

Free-body diagrams are utilized to display the relative direction and strength of all forces that are being applied to an item in a certain scenario. A unique illustration of the geometric diagrams that were covered in a previous lesson is the free-body diagram. We will make use of these graphics throughout the entire study of physics.

A thread fastened to the bucket's base is holding a ping-pong ball immersed in water. The water in the bucket is now supplemented with salt, making the liquid denser.

Before adding the salt let T be the tension in the string.

Due to the growing disparity in densities, the force applied to the rope will increase.

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The energy required to raise the temperature of the air in a room by 5.0°C is 336 kJ

U = [tex]c_{p}[/tex] m ΔT

U = Energy

[tex]c_{p}[/tex] = Specific heat

m = Mass

ΔT = Change in temperature

ρ = Density

V = Volume

ρ = 1000 g / m³ (Dry air )

= 1 J / g K

ΔT = 5 °C

V = 4 * 4 * 3

V = 48 m³

m = ρ V

m = 1000 * 48

m = 48000 g

U = 1 * 48000 * 7

U = 336000 J

U = 336 kJ

Therefore, the energy required to raise the temperature of the air in a room by 5.0°C is 336 kJ

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Cosmic Dust.

Why? When stars explode, or die, they releases dust and gas.

To solve this we must be knowing each and every concept related to galaxy. Therefore, cosmic dust of a galaxy consists of tiny particles that look smoky or cloudy and can be found in the space between stars.

Galaxies are collections of stars as well as other celestial objects that are gravitationally bound. The cosmos contains and over 100 billion galaxies, each of which has stunning formations seen in photographs captured by telescopes of the far sky.

According to Samuel, a galaxy's shape is the result of continual interactions between its many components. The majority of the mass is provided by the dark matter, which uses gravity to hold everything together. Cosmic dust of a galaxy consists of tiny particles that look smoky or cloudy and can be found in the space between stars.

Therefore, cosmic dust of a galaxy consists of tiny particles that look smoky or cloudy and can be found in the space between stars.

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Answer:

It is the process in which animals eat each other in the food chain. From producers (like grass) to the top of the food chain (which depends on the climate and habitat)

Explanation:

Answer:

See the explanation below.

Explanation:

To solve this problem we must apply Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration and this force can be calculated by means of the following equation.

F = m*a

where:

F = force [N] (units of Newtons)

m = mass [kg]

a = acceleration [m/s²]

The mass of the tennis ball will always be the same therefore it will never change.

Now clearing a:

[tex]a=\frac{F}{m}[/tex]

If the mass of the ball remains the same:

[tex]a = \frac{100}{m} ; a = \frac{200}{m};a =\frac{300}{m}[/tex]

We see that for a force of 300 [N], the acceleration exerted on the ball must be greater. Therefore with the force of 300 [N] the greatest acceleration is achieved.

Answer:

Direction remains the same but velocity changes.

Explanation:

This tell us about the direction and magnitude of the acceleration acting on the cannonball throughout its duration of flight that its direction remains the same but its magnitude of the acceleration is continuously changing. The cannonball moves in the direction in which the cannon was fired while the velocity is highest after the fire but decreases when goes higher and when it comes back to the ground so its velocity increases against so we can say that both positive and negative acceleration occurs. Positive acceleration means increase in the magnitude of velocity whereas negative acceleration means decrease in velocity.

Answer:

185.3m

Explanation:

Given parameters:

Initial velocity  = 10m/s

Final velocity  = 21m/s

Time  = 12s

Unknown:

Total distance traveled by the car = ?

Solution:

To solve this problem, we use that appropriate motion equation:

            v² = u² + 2as

v is the final velocity

u is the initial velocity

a is the acceleration

s is the unknown distance

t is the time taken;

    acceleration = [tex]\frac{v - u}{t}[/tex]

                   a  = [tex]\frac{21 - 10}{12}[/tex]   = 0.92m/s²

 now;

            v² = u² + 2as

            21²  = 10²  + 2(0.92)(s)  

            441 = 100 + 1.84s

           441 - 100  = 1.84s

                  s  = 185.3m

Answer:

The answer is positive.

Explanation:

In a middle of an atom, nucleus, contain neutrons (neutral charge) and protons (positive charge) so it will become positively charge nucleus.

Answer:

Resistance is a measure of the opposite to current flow in an electrical circuit. Resistance is measured in ohms.

Hope this helps

The electric flux is 2chω² where the k^ term was eliminated since k. k^ =0

The electric force per unit charge is referred to as the electric field. It is assumed that the field's direction corresponds to the force it would apply to a positive test charge. From a positive point charge, the electric field radiates outward, and from a negative point charge, it radiates in.

We are given an electric field in the general form

E→ =ay i^+bz j^+cx k^

In the xy plane z=0 so that the electric field reduces to

E→ =ay i^+cx k^

To obtain the flux, we integrate

ϕ E=∫ E→⋅d A→ =∫ (ay i^ +cx k^) ⋅k^

dAϕE=ch∫

x=0w

​xdx=2chω²

where the k^ term was eliminated since k. k^ =0

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Answer:

From first equation of motion:

[tex]{ \rm{v = u + at}} \\ { \rm{18 = 0 + (a \times 15)}} \\ { \rm{18 = 15a}} \\ \\ { \boxed{ \rm{ \: a = \frac{18}{15} \: m {s}^{ - 2} }}}[/tex]

For the second case:

[tex]{ \rm{v = u + at}} \\ { \rm{v = 0 + ( \frac{18}{15} \times 10)}} \\ \\ { \rm{v = 12 \: {ms}^{ - 1} }}[/tex]

Explanation:

what is the question? could you pls provide it

The pipe's large and narrow sections have different water pressures of "12.78 KPa."

The ideas of Bernoulli's Theorem and the continuity equation are involved in this query. Finding the pressure difference requires substituting the appropriate values.

Therefore, Bernoulli's theorem states that a drop in fluid pressure is connected with an increase in fluid velocity if the fluid flows horizontally so that there is no change in gravitational potential energy.

Bernoulli's theorem states that as long as an ideal liquid is incompressible, viscous, and flows in a streamline, the total amount of energy it possesses at any given place remains constant. Kinetic, potential, and pressure energy all add up to a constant. P+21pv2+pgh=Constant.

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(c) When the two pulses completely overlap on the string forms a straight line.

A single disturbance that travels via a transmission medium is referred to as a pulse. This medium might be formed of stuff or a vacuum, and it might be endlessly large or finite in size.

Consider two pulses that are identical in shape and proceed in opposite directions along a string, with the exception that one has positive displacements of the string's elements while the other has negative displacements.

On the string, the two pulses blend together completely.

The pulses completely balance one another out in terms of removing string elements from equilibrium, yet the string still moves. Shortly after the string is once again shifted, the pulses will have passed each other.

The correct option is (c)

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If your guitar pick is producing a harsh sound, you should make sure your wrist and arm are at a ninety degree angle.

Making of harsh sounds due to the pick from a guitar is seen often during guitar practices from beginners. There are numerous reasons for this. One of the reasons that can be considered as the most often mistake is the way a guitarist holds the pick. In order to avoid the sound produced by the pick, make sure that your wrist and arm are in a ninety degree angle.

This will provide a comfortable position to use the picks. You should not hold the pick firmly either. Try to hold the pick gently. Remember lesser the pick gets in contact with the string, lesser the sound produced. Also try to use a proper pick for guitar.

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Answer:

The trees are blocking the sunlight.

Explanation:

B is obviously not the answer because fertilizer wouldn't have that effect. For C, shade doesn't change the temperature that much that it would inhibit plant growth. For D, even if the tree blocks the water, the surrounding ground will still be wet and therefore the grass should still have a sufficient amount of water to grow.  Sunlight can't be gotten from somewhere else, unlike water, so this would inhibit plant growth.

Answer:

Your answer is d

Explanation:

The fundamental frequency of the tube is 0.240 m long, by taking air temperature to be [tex]37^o[/tex]C is 367.42 Hz.

A standing wave is basically a superposition of two waves propagating opposite to each other having equal amplitude. This is the propagation in a tube.

The fundamental frequency in the tube is given by

[tex]f=\frac{v_T}{4L}[/tex]

where, [tex]v_T=v\sqrt{\frac{T}{273} }[/tex]

Since, T=37+273 K = 310 K

v = 331 m/s

[tex]\therefore v_T=331\sqrt{\frac{310}{273} } = 352.72 \ m/s[/tex]

Using this, we get:

[tex]f=\frac{352.72}{4(0.240)} \\f=367.42 \ Hz[/tex]

Hence, the fundamental frequency is 367.42 Hz.

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The magnetic field at the center of the triangle is [tex]\frac{4.50 \mu_{0} I}{\pi L}[/tex].

An equilateral triangle with side L is formed by the bend of a wire carrying a current I.

The magnetic field created by a straight wire is given as:

[tex]B = \frac{ \mu_{0} I}{2 \pi a}[/tex]

The cosines of the complementary angles are identical to the sines of the angles that appear in that equation.

The magnetic field from a distance "a" from the wire,

We obtain:

[tex]tan{~}30^{\circ} = \frac{a}{L/2}\\a = 0.2887L[/tex]

Therefore, the  magnetic field at P which is the center of the triangle will be:

[tex]B = \frac{\mu_{0} I}{4 \pi a}(cos{~}\theta_{1} - cos{~}\theta_{2})[/tex]

[tex]B = \frac{\mu_{0} I}{4 \pi \times 0.2887L}(cos{~}30^{\circ} - cos{~}150^{\circ})[/tex]

[tex]B = \frac{\mu_{0} I \times 1.732}{\pi \times L}[/tex]

[tex]B = \frac{1.50 \mu_{0} I}{ \pi L}[/tex]

Every side produces the same amount of field in the same direction, which in the illustration is perpendicular to the paper.

Therefore, the total field is:

[tex]\frac{1.50 \mu_{0} I}{ \pi L} = \frac{4.50 \mu_{0} I}{ \pi L}[/tex]

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Answer:

Conduction and convection requires Modes of transfer of heat ! Radiation doesn't require any medium !!

In terms of heat transfer, radiation is the emission of thermal energy in the form of infrared waves. ... Since heat is carried by electromagnetic waves, it does not need a physical medium to transfer it. Instead it radiates through space - this is how the Earth is heated by the Sun despite space being a vacuum

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Answer: $8.2 million.

Explanation:

If we have a quantity A, and we have an increase of x%, this can be written as:

A + (x%/100%)*A

Now, for this particular case we have:

In year 2000 (we can define this year as the year zero, y = 0) the initial value is $4.7 million.

The next year, y = 1, there is an increase of 15%, then we will have a profit of:

P = $4.7 million + (15%/100%)*$4.7 million = $4.7 million +  0.15*$4.7 million

P = $4.7 million*(1 + 0.15) = $4.7 million*(1.15)

in the next year, y = 2, the profit will be:

P =  $4.7 million*(1.15) + (15%/100%)* $4.7 million*(1.15)

  = $4.7 million*(1.15) + 0.15* $4.7 million*(1.15)

   = $4.7 million*(1.15)^2

We already can see the pattern, the profit in the year y will be:

P(y) = $4.7 million*(1.15)^y

In particular, in the year 2004 we have y = 4, then the profit that year will be:

P(4) = $4.7 million*(1.15)^4 = $8.2 million.