if a wave train (group of swell) in the open ocean has an average wavelength (l) of approximately 140 meters and a period (t) of 10 seconds, what is the celerity of these waves?

The net force required to accelerate a car is 6000 N.

Force is defined as the product of the mass and acceleration of the body. Force is used to changing the velocity that is to accelerate an object or a body of a particular mass. The unit of Force is Newton or kg m/s^2.

The formula used to calculate the net force is :

F = ma

where, F = Force

m = mass = 2000 kg

a = acceleration = 3.00 m/s^2

∴ F = 2000*3

F = 6000 N

Thus, to accelerate the car at 3.00 m/s^2 of mass 2000 kg net force required is 6000 N.

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The current in the tile is 0.11 ampere.

The rate of electron passage in a conductor is known as electric current. The ampere is the electric current's SI unit. Due to not following vector law of addition, current is  a scalar quantity.

Given parameters:

Potential difference: V = 40 V.

The power output: P = 4.4 W.

We have to find, the current in the tile; I =?

We know that, power output = current × Potential difference

So, the current in the tile = power output /Potential difference

= 4.4/40 ampere.

= 0.11 ampere.

Hence the current in the tile is 0.11 ampere.

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The average momentum of the avalanche was found to be 1.3×10^ 9 kg·m/s

what is momentum?

Momentum is the pace at which a security's price accelerates—that is, the rate at which the price changes. Momentum trading is a method that uses momentum to enter a trend while it is gaining traction.

Simply expressed, momentum is the tendency of a price trend to continue growing or dropping for a set period of time, taking into consideration both price and volume data. Momentum is commonly quantified using an oscillator in technical analysis and used to help detect trends.

Momentum is the quantity of motion of an item. If you know the object's velocity and mass, you can calculate its momentum. It will be simple once you understand the formula.

The average momentum of the above problem was 1.3 x 10^9Kg.m/s

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The stress that spreads over the soles of the feet by the body is 18000 N/m².

The compressive stress exerted on a body is given by the force applied to the body divided by the area,

So, we can write,

Stress = force/area

In this case, the force will be equal to the weight of the body.

F = Mg

M is the mass of the person,

g is the acceleration due to gravity.

F = 72×10

F = 720N

The area of the soles is given to be 200 cm²

Converting into meter square,

Area = 0.02 m²

As there are two soles,

Area = 0.04

Putting values to find stress,

Stress = 720/0.04

Stress = 18000N/m²

So, the stress on the soles is 18000 N/m².

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The silk can get a negative charge if it is rubbed against  iron rod and it can get a positive charge if it is rubbed against hair.

We know that a  charge is made when there is either an excess or a deficit of electrons. When there is an excess of the positive charge on an object, we can say that the object ha become positively charged. If there is an excess of negative charges, we can say that the material is negatively charged. We now want to determine how we could make silk to become positively or negatively charged.

If we want the silk to have a negative charge then we have to rub the silk with a glass rod. If the silk is rubbed with a glass rod, what would happen is that electrons would be transferred from the rod to the silk leaving the silk with a negative charge.

If you want the silk to have a positive charge, you could rub it against hair. In that way, the hair would get an negative charge while excess electrons are transferred to the silk making it to have a positive charge.

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On the basic of Ohm's law , we can see that when resistance increase on replacing then current passing through resistance decreses.

In the given question we have,

resistor r is connected of a battery with potential difference v and a direct current i , passing through the resistor.

According to Ohm's law , the current passing through the condutor is directly proportional to the voltage applied to it and inversely proportional to resistance.

V = IR

where, I ---> current passing through resistor

R----> resistance

V ----> Voltage

or I = V/R ---(1)

Now, it is given that when resistor is replaced by other one and resistance become 3r. From (1) we see as resistance increases the current passing through resistor decreses.

So, as resistance increase by 3r then current passing through resistance decreses by 1/3r.

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The motor is an excellent invention for Allison to use as a model for her device.

People use both interchangeably, but the difference is that motors run on electricity and engines run on combustion. The engine converts various forms of fuels into mechanical force, while the motor transforms electrical energy into mechanical energy.

They operate using principles of electromagnetism, which shows that a force is applied when an electric current is present in a magnetic field. This force creates a torque on a loop of wire present in the magnetic field, which causes the motor to spin and perform useful work.

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A 9 kg hanging mass is connected by a massless cord over a frictionless pulley to a 5 kg block that is sliding on a flat table. if the coefficient of kinetic friction between the block and the table is 0.2, the tension in the string will be   37.8N

from Newton’s second law we get :

Tension force – f k = mass * acceleration         equation 1

Tension force –f k = 5.00 * a

Similarly, for the 9.00−kg mass,

 mg - Tension force  = mass * acceleration

 9.00 * g–Tension force = 9.00 * a

Adding these two equations gives:

      9.00 *9.80 − 0.2 * 5  * 9.8 =   14 a

a=5.6 [tex]m/s^{2}[/tex]

substituting this into  equation 1

Tension = 5.00* 5.60 + 0.200 * 5.00 * 9.8 = 37.8N

The tension in the string will be  37.8N

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Answer:

3

Explanation:

m.a=load÷effort

thus 150N÷50N=3

The curvature radius of the lens surface is 0.1089 meters.

The convex lens is a lens that converges rays of light that convey parallel to its fundamental axis (i.e. converges the incident rays toward the main axis) which is highly thick throughout the middle and skinny at the decrease and higher edges. the edges are curved outward in preference to inward.

Calculation:-

Since the double convex is symmetric in nature,

R₁ = R

R₂ = - R

Given, Refractive index (n) = 1.33

The focal length of the double convex lens (l) = 0.156

Now,

1/f = (n-1) (1/R₁ - 1/R₂)

1/f = (n-1) (1/R + 1/R)

1/f = (n-1) × (2/R)

R = 2(n-1)f

   = 2 × (1.33 - 1) × 0.165 meter

   = 0.1089 meter

Hence, the radius of curvature of the lens surface is    = 0.1089 meter

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1.065 m / s is the average speed (in m/s) of the particle.

Circumference = 2[tex]\pi[/tex]r

238.14= 2 x 3.14159 x38 cm

238.14 x 17 rotations / 38seconds

= 106.53 cm / second

106.53 cm / 100 cm per meter

= 1.065 m / s

Average speed is the total distance travelled by an object during a certain time interval. Average speed is a scalar quantity. It is represented by size and has no direction.

The formula for average speed is found by calculating the ratio of the total distance travelled by a body to the time required to travel that distance.

The average speed equation is formulated as follows:

Total distance traveled / Total time travelled

[tex]{S_{AVG}}= \frac{D_{totale}}{T_{totale}}[/tex]

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The velocity of the 2.0 kg mass just before it hits the rocks when it is dropped from a height of 16 m above the surface of the rocks will be 17.738 m/s in downward direction

given

u = 0

m= mass = 2 kg

height = 16 m

v = ?

using kinematics equation

-s = ut - 1/2* g * [tex]t^{2}[/tex]

t = [tex]\sqrt{2s/g}[/tex]

time = [tex]\sqrt{(2*16) / 9.8}[/tex]

       = [tex]\sqrt{3.27}[/tex]

       = 1.81 seconds

v = u - gt

v = -g t = -9.8 * 1.81 = -17.738 m/s

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The kind of electronic transitions that is responsible for colored light being given off is called emission.

Emission is the discharge of something, particularly radiation or gas. Emission spectrum or line spectrum is the given off of electromagnetic radiation when an electron transits from a higher energy level to a lower energy level. During the course of transition from one level to another, energy generated are emitted in the form of white light by the atoms and molecules. When electrons in the ground state of an energy level is heated, it rises to a higher energy level. It thus releases energy quickly to maintain a balanced state or go back to the ground state. If the energy released is equal to the energy that produces white light, it will form colored light.

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The answer of this is "Its surface composition"

Mars is the fourth planet from the Sun and the next planet beyond Earth. It is, on average, more than 142 million miles from the Sun.

Its surface is rocky, with canyons, volcanoes, dry lake beds and craters all over it. Red dust covers most of its surface. Mars has clouds and wind just like Earth. Sometimes the wind blows the red dust into a dust storm. Tiny dust storms can look like tornados, and large ones can be seen from Earth. Mars’ large storms sometimes cover the entire planet.

Mars has about one-third the gravity of Earth. A rock dropped on Mars would fall more slowly than a rock falls on Earth. A person who weighs 100 pounds on Earth would only weigh about 38 pounds on Mars because of the reduced gravity.

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Electrons that are located in the outermost orbit in the Bohr model of a boron atom will be 3.

A nucleus with six neutrons and five protons makes up the Bohr model of boron. The K-shell and L-shell electron shells around the nucleus The valence electrons, which make up three of the electrons in the outermost shell of the Bohr diagram, are also present. The orbits of the electrons around the small nucleus are described by the Bohr model of boron.

It utilizes a number of different electron shells, including K, L, M, and N. The number of electrons that each shell can hold varies, with the shell closest to the nucleus having the least energy. The energy levels increase as the shell recedes more. According to the Bohr model, the electrons in an atom may be seen to orbit the nucleus in a variety of orbits with differing energies.

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When a block slides at constant speed down a ramp while acted on by the forces.

A. True

B. False

C. False

The magnitude of dynamic friction is directly proportional to the magnitude of the normal force and the roughness between the sliding surfaces. The magnitude of static friction is directly proportional to the magnitude of the normal force and the roughness between the sliding surfaces. The normal force is not necessarily equal to gravity, but the force perpendicular to the surface on which the object is sliding.

In other words, the normal force is the force that pushes two surfaces together, and the stronger the normal force the stronger the frictional force. Another fairly common force is the frictional force. Similar to the normal force, it is caused by direct contact between surfaces. However, normal forces are always perpendicular to the surface while frictional forces are always parallel to the surface.

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Answer:

5.102 m/s

Explanation:

50/9.8=5.102m/s

When the ball is caught, it is moving at a speed of 3 m/s. Distance/time is the formula for calculating speed.

You must time how long it takes from when the ball is released until the pin is struck using a stopwatch. By dividing the distance by the time, one may calculate the ball's speed.

The average speed, if it was 3 seconds,

would be 42/14, or 3 feet per second .

Build a launcher for balls. I made use of an exercise rubber band and the legs of a patio chair.

horizontally when you shoot the ball. For this to operate, the camera angle must be horizontal.

Calculate how long the ball has been in the air.

The ball's distance traveled should be measured.

Simply dividing the distance by the launch time yields the launch speed.

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the revolutions are about 116 revolutions

what is revolution?

A revolution is the movement of one thing around a centre or another object, the forcible overthrow of a government by the people, or any abrupt or large change.

Our solar system, which includes the sun, planets, and numerous asteroids, formed around 4.5 billion years ago. The gravitational collapse of a massive cloud and dust in space resulted in the formation of the solar system. This caused a disturbance in the cloud, causing clumps of gases to form due to gravity.

t=45.7s

α=116 revolutions

ω₀=32.o rad/s, ω=0

α=-0.700 r/s²

ω= ω0 +at

0=32.0r/s+ (-0.700r/s2)t

T= -32/-0.700

=45.7s

We use the equation below to find revolutions.

ω2= ω20 +2aα                        

substitute the values

0=(32)2 + 2(-0.7r/s2)α

α=731 rad

the rads are converted to revolutions:

α=731x1/2π

=116 revolutions

so the revolutions are about 116 revolutions

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(a) The ball will not pass over the wall

(b) The velocity is  21.45m/s

It is the amount of change in velocity per unit time. The velocity change can be calculated using the formula: velocity change = final velocity - initial velocity. This is the time when: The rate of change in velocity is expressed in

Given

A ball is thrown from a 10 m high cliff at the velocity 20 ms-¹ with an angle of 30° to the horizontal plane as shown in the picture below. 40 m from the edge of the cliff is a 10 m high wall.

We have to determine

a) Will the ball pass over the wall?

b) If not, where will it hit the wall and with what velocity?

From the given information

Initial velocity v =20m/s

Initial velocity along x direction vx = vcos300

= 20 cos300

= 20 x 0.866

= 17.32m/s

Initial velocity along y direction vy = v sin300

= 20 sin300

= 20 x 0.5

= 10m/s

Displacement along +ve x = 40m

Time required to travel t = x/vx

= 40/17.32

= 2.31seconds

At this time displacement of the ball along the y direction

Sy = vyt – 1/2gdt2

= 10x2.31 – ½ x 9.81 x (2.31)2

= 23.10 – 26.17

= - 3.07m

Since displacement is in a negative value, it will hit the wall and will not pass over the wall

The ball will hit at d distance from the ground

H = (10 – 3.07)

= 6.93m

Final velocity along +ve y = v’y = vy –gt

= 10 – 9.81 x 2.31

= 10 – 22.66

=-12.66m/s

velocity along +ve x = v’y = vx

= 17.32m/s

So-net velocity of the ball v’= √((v^' x)^2+(v^' y)^2 )

= √(〖(17.32)〗^2+〖(-12.66)〗^2 )

= 21.45m/s

Therefore

(a) The ball will not pass over the wall

(b) The velocity is  21.45m/s

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compared to a solid wire of the same gauge, stranded wire is more susceptible to interference.

A solid wire consists of a solid metal core while stranded wires are made of a quantity of thinner wires that are twisted together into an organized bundle.

But because of the bundle feature of the stranded wires, they have more surface areas in comparison to the solid wires, so there is more chances to have dissipation in this type of wires, specially when high frequency current is being passed.

Due to more dissipation it is more likely to have interference.

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The acceleration of the car is - 7.08 m/s².

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Given parameters:

Initial velocity of the car; u = 32.78 m/s.

Take taken to stop it; t = 4.63

Then, the acceleration of the car: a =( final velocity - initial velocity) /time

= (0 - 32.78)/4.63 m/s².

= - 7.08 m/s².

Negative sign indicates that the velocity is decreasing at that rate.

So, the acceleration of the car is - 7.08 m/s².

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If a 2.5 kg mass is attached to a spring with k = 53 N/m, the spring will stretch to 61 cm.

Missing data from the problem:

A spring with spring constant (k) 53 N/m is hang vertically.

Original length of the spring = 15 cm = 0.15 m

A mass of 2.5 kg is attached to the end of the spring.

According to the Hooke's Law:

F = - kx

Where:

F = force applied on the spring

x = spring displacement

From the problem, the only force is the weight of the mass:

F = w = m . g  (g = 9.8 m/s²)

F = 2.5 . 9.8 = 24.5 N

Substitute k = 53 N/m,

24.5 = 53 . x

x = 24.5/53 = 0.46 m = 46 cm

Therefore the final length of the spring = 15 + 46 = 61 cm

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Using the concepts of work, we got that we need to work three times of the previous work to accelerate the object from a speed v to a speed 2v.

We know that to change the velocity of any object we need to do some work on it.

When an object having some mass m moving with velocity v, then the kinetic energy stored in that object is given by(KE₁) =(1/2)mv².

Now, When an object having some mass m moving with velocity 2v,then the kinetic energy stored in that object is given by(KE₂) =(1/2)m(2v)².

New kinetic energy is =4[(1/2)mv²] or 4KE₁

So, net work to accelerate the object is =KE₂-KE₁

                                                               W=4KE₁-KE₁=3KE₁.

Hence,  the amount of  work must be done by an external force on an object (sliding over a frictionless, horizontal surface) to accelerate the object from a speed v to a speed 2v is 3 times the energy stored on a object.

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The potential energy at the maximum height is 0.000196 J, the total mechanical energy at the maximum height is 0.000196 J, the potential energy at a height of 0 m is 0 J, the total mechanical energy at a height of 0 m is 0.0001936 J, the kinetic energy at a height of 0 m is 0.0001936 J and the velocity at a height of 0 m (before it lands) is 0.44 m/s.

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When rain is falling vertically at 8m/s then the speed of the car is calculated to be 4.618 m/s.

The velocity of the raindrops adds to the velocity of the car to produce a velocity of the rain relative to the car.

As the surface becomes rougher, friction increases and on rainy days, we are more likely to slip because water acts as a lubricant between feet and the ground. Dry friction is converted to fluid friction by rainwater.  Rain drops have a uniform type of motion

Given rain is falling vertically with 8 m/s speed

and rain drop makes an angle of  30°

As we know that, tan∅ = V (horizontal) / V (vertical)

Hence,  V (horizontal)= tan ∅ *  V (vertical)

= tan (30° ) * 8

speed of the car​ = 4.618 m/s.

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Using the visual spectrum, we can distinguish between various light wavelengths.

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(a) Since the separation is being tripled the force would go to 1/9 its original value if the charges remained constant because Coulomb's Law is an inverse square law. So, the new force is 10/9 N.

(b) because the pressure remains the equal and it became repulsive, initially, it will remain repulsive. One could also deduce this for the reason that the socks are equal.

Electrostatic repulsion can also be observed, for example, with an electroscope. It's a simple device consisting of a piece of metal sticking out of a glass jar and a thin metal leaf hanging inside. When the outer piece of metal touches the charged body, the Coulomb force causes the sheet to expand.

The repulsive force between oppositely oriented magnets. A compression material that repels the body on both sides. Repulsion is associated with involuntary vomiting such as in response to the ingestion of toxins.

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Answer:

V = √ ( 6.65² + 9.87² ) ≈ √ 141.64 = 11.90 mph

The stick figure that is walking at a velocity of 1 m / s to the west is moving quickly relative to the ground than the stick figure that is walking at a velocity of 1 m / s to the east.

Vsg = Vsw + Vwg

Vsg = Relative velocity of stick figure wrt ground

Vsw = Relative velocity of stick figure wrt walkway

Vwg = Relative velocity of walkway wrt ground

Let the stick figure that is walking to the west be A and the stick figure that is walking to the east be B.

For A,

Vsw = - 1 m / s

Vwg = - 0.5 m / s

Vsg = - 1 - 0.5

Vsg = - 1.5 m / s

For B,

Vsw = 1 m / s

Vwg = - 0.5 m / s

Vsg = 1 - 0.5

Vsg = 0.5 m / s

The negative symbol indicates direction. So Vsg for A > Vsg for B

Therefore, the stick figure that is walking at a velocity of 1 m / s to the west is moving quickly relative to the ground than the stick figure that is walking at a velocity of 1 m / s to the east.

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