How will this surfboard’s streamlined shape affect its speed?

The time period of the wave is 2.5 seconds. Option C

How is the duration of a wave defined?

Since frequency and wave period are inversely proportional, the wave period can be calculated using the following formula:

                                                  T = 1/f

                                                  T = λ /v

where T is the time period in seconds, f is the wave frequency, is the wavelength in meters, and v is the speed in meters per second.

Time is divided into periods by the quantity of oscillations. Two oscillations are shown in the diagram. By counting the wave's crests one by one starting at the 0s point, this may be seen. Two oscillations end in five seconds. 2 divided by 5 equals 2.5 seconds.

Hence, Option c) 2.5 is correct.

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Mental A has the smaller density. An object's density is defined as its mass divided by its volume.. Density is commonly expressed in grams per cubic centimeter (g/cm3).

Density is the amount of "stuff" in a given amount of space. A block of the heavier element lead (Pb), for example, will be denser than a block of the softer, lighter element gold (Au). A Styrofoam block is less dense than a brick. It is expressed in terms of mass per unit volume.

An object's density is defined as its mass divided by its volume. Density is commonly expressed in grams per cubic centimeter (g/cm3). Remember that grams are a unit of mass and cubic centimeters are a unit of volume (the same volume as 1 milliliter).

The SI density unit is m3kg. Volume Mass Density = m3kg

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Work done by the system is calculated to  - 456.863 J, when pressure and volume change is given.

For a gas, work is the product of the pressure and the volume during a volume change. Relationship between pressure and volume can be found out by Boyle's Law. As the pressure on a gas increases then the volume of the gas decreases because the gas particles are forced closer together.

W= -p ΔV

p is pressure and ΔV is volume change

Given that volume changes from 0.160 liters to 0.570 liters

ΔV = 0.570 - 0.160

= 0.41 L

Given p = 11 atm

Now, W = -11 * 0.41

As 1 atm L = 101.3 J

Hence W=  -11 * 0.41 * 101.3

Work = - 456.863 J (work done by system)

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Answer:

1/2

Explanation:

We know that F = ma, so F1 = m1.a1 and F2 = m2.a2.

F1 = 10

F2 = 20

To simplify things consider a1 = a2 = 1

To find m1 divide by a to both sides; m1 = F/a = 10/1 = 10.

To find m2 divide by a to both sides; 21 = F/a = 20/1 = 20.

Ratio of m1 to m2 = 10/20 = 1/2

The final velocity is 163.04m/s.

Solution:

Use equation x = 1/2at^2

402.3 = 5a(4.9360^2

A = 33.03m/s^2

Final velocity

V = Vo +at

= 0 + 33.03(4.936) = 163.04m/s

Velocity is the rate of change of position with respect to time, and acceleration is the rate of change in velocity. Both are vector quantities, but velocity is in meters/second and acceleration is in meters/second squared. Determines the height from which the object fell. Multiply the height by the acceleration of the object due to gravity.

Acceleration is the rate of change of velocity over a specified time. Calculate acceleration by dividing the change in velocity by the change in time. People mistakenly believe that the terminal velocity of a falling object is zero because the object stops as soon as it hits the ground. In physical tasks, terminal velocity is the velocity just before touching the ground. Objects no longer free fall when colliding with the ground.

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When the energy in a system is transformed, the total amount of energy in the system is always conserved.

The changing of one form of energy into another, or the movement of energy from one place to another. An energy transformation is a change of power from one form to another. Fire (Chemical energy Heat and Light) Electric lamp (Electrical energy Heat and Light), Microphone (Sound Electrical energy), Wave power (Mechanical energy Electrical energy). Energy transformation is also known as energy regeneration which is a process of changing energy from one form to another. Energy transformations are procedures that convert energy from one type, for example, kinetic, gravitational potential, and chemical energy.

So we can conclude that an energy transformation is the change of energy from one form to another.

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When ray estimation of geometric optics cannot be used, wave optics—also known as physical optics—is concerned with the study of numerous phenomena like polarization, diffraction, interference, and other occurrences.

wavelength of light = 633 nm = 633*10-9 m,

the angle θ = 1.20 / 2 = 0.6

condition for diffraction minimum,

d sin θ = mλ

for first minimum n = 1

d sin θ = λ,

and as a result,

slit width d = λ / sinθ = (633*10-9 m) / sin0.6 = 6.04×10 −5m

The various wave optics kinds are:

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A prize wheel is spinning in a vertical circle when an acceleration of 2.0 rad/s2 is applied to the edge of the wheel for 3.0 s. if the final velocity of the wheel was measured to be 9.0 rad/s, the initial velocity of the wheel will be  ω0 = 3 rad/s

time = 3 seconds

acceleration = 2 [tex]rad/s^{2}[/tex]

final velocity = 9.0 rad/s

initial velocity = ?

using

ω = ω0 + αt

9 = ω0  + 2 * 3

ω0 = 3 rad/s

The initial velocity of the wheel will be ω0 = 3 rad/s

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The pressure on the gas trapped in the buret is 680 mm.

The air around you has weight, and it presses against everything it touches. That strain is referred to as atmospheric pressure or air pressure. it's miles the force exerted on a surface by way of the air above it as gravity pulls it to Earth. Atmospheric strain is normally measured with a barometer.

Atmospheric pressure strain is the pressure exerted via the air around us while Atmospheric stress is the stress exerted by means of the environment on the earth. Air pressure is measured with the aid of a tore gauge while atmospheric stress is measured with the use of a mercury barometer.

Given;

If the height of the mercury Column in the leveling bulb is 10 mm greater than the gas buret and the atmos[pheric pressure is 670 mm.

The pressure on the gas trapped in the buffet = 670 + 10

                                                                               = 680 mm  

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By using components of the centripetal force, it can be calculated as Radius of the curvature of the track is 557.5 m

According to the centripetal force, the force is

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

where m is the mass of the object , v is the velocity and r is the radius of the curvature.

This Fc will have two components, FccosФ and FcsinФ.

FccosФ = mg

1.1 mgcosФ = mg

cosФ = [tex]\frac{1}{1.1}[/tex]

so, sinФ = 0.416

Now, FcsinФ = [tex]\frac{mv^{2} }{r}[/tex]

1.1mgsinФ = [tex]\frac{mv^{2} }{r}[/tex]

r = 557.478

r = 557.5 m

Hence the radius of the curvature is 557.5 m.

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If the heavier object and the heavier object are moving at the same speed, the answer is yes.

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Using the concepts of moment of inertia, we got that moment of inertia increases by 4  times for all round object (sphere, disk, hoop for example) on doubling only the radius.

We know very well that, moment of inertia of the following object are

where m is the mass of the object and r is the radius of the object.

We see that moment of inertia is directly proportional to the radius of the object.

It means when we double the radius, then moment of inertia increases by 4 times of its previous value.

Hence, a round object (sphere, disk, hoop for example), doubling only the radius of the object changes its moment inertia by a factor of 4 times.

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First Quarter phase is the moon in when it rises around noon.

During the first quarter phase, the western half of the Moon is illuminated to resemble the letter "D." The Moon rises at noon that day and sets at midnight. When the Moon is in its waxing gibbous phase, it is mostly bright, and the illuminated area is egg-shaped (gibbous), with the eastern edge shadowed.

Lunar phases are the many phases of the moon. The sun's light is reflected by the moon, which does not produce any light of its own. New moons occur when the distant side of the moon is illuminated by sunlight. A new moon is visible when it reflects from a side that is close to it.

The moon goes through eight phases: new moon, waxing crescent, first quarter, full moon, waxing gibbous, third quarter, and declining crescent.

It takes the moon 29.5 days, or roughly one month, to go through all of these phases. This cycle of the moon changing phases is known as the lunar cycle.

Gibbous phases appear when more than half of the moon is illuminated, while crescent phases occur when just half is lighted.

Waxing is an increase in illumination, whereas waning is a reduction.

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The force exerted continuously on a specific object in a direction parallel to the direction of the acceleration caused in the body is referred to as a constant force.

A massive body will accelerate or alter its velocity at a constant rate when a constant force is applied to it, according to Newton's second law. In the simplest case, when a force is applied to an object at rest, the object accelerates in the direction of the applied force.

In order to verify that the physical equations are valid, we employ a set of fundamental invariant values called physical constants. These constants are mostly seen in nature and in broad physical study.

The force of gravity is an excellent illustration of a constant force. An object's mass times its gravitational acceleration on Earth always equals the force of gravity acting on that object (9.81ms2 9.81 m s 2 ).

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Position in equilibrium As the mass moves in the direction of x=+A, the greatest velocity occurs so at equilibrium position (x=0).

Q can be used to anticipate the direction of a reaction's equilibrium shift. In the event that K > Q, a reaction will proceed and transform reactants into products. If K Q, the reaction will go the other way and convert reactants into products. In the event where Q = K, the system

When all forces acting on a mechanical system are equal to zero, it is in equilibrium. Learn how to calculate the equilibrium position of such a mass oscillating on even a spring as well as the factors that influence it on this page.

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To cover 5.5 meters in a straight line, the tire rotated at an angle of 15.714rad.

To put it simply, a circle is a spherical shape without any corners or line segments. In geometry, it has the shape of a closed curve.

A definition from Euclid

A circle is a plane figure that is bounded by a single curved line and in which all straight lines drawn from any point inside the circle to the boundary are equal. Its center is the point, and its circumference is the bounding line. — Book I of Euclid's Elements.

Given,

circular path with a radius of 35cm,

Circumference of car tire is 2πr = 2×3.14×0.35 = 2.198m

For traveling a distance of  5.5m

5.5 = angle in rads ×radius

angle = 5.5/0.35

angle = 15.714 rad

To cover 5.5 meters in a straight line, the tire rotated at an angle of 15.714rad.

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Answer:

3, 4, 1, 2

Explanation:

The time taken for the orange to return is 0.96 s.

We know that if an object is thrown up or down that we have to look at the equations of kinematics under gravity so as to be able to obtain the velocity of the object or the time taken.

Now;

v = u - gt

v = final velocity

u = initial velocity

g = acceleration due to gravity

t = time taken.

Thus;

v = 0 m/s at the maximum height so;

u = gt

t = u/g

t = 4.73/9.8 m/s^2

t = 0.48 s

In order to go up and return;

2( 0.48 s) = 0.96 s

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The momentum at the end of the 1.5s in component form a speed of 1.23 m/sec.

mgh=1/2mv²

v=√2gh

v=3.7 m/s

elastic collision

V=(m₁-m₂/m₁+m₂)v

=0.5-2.5/.5+2.5(3.7)

V₁=-2.47 m/sec

V₂=(2m₁/m₁+m₂)V

=2(0.5)/0.5+2.5

V₂=1.23 m/sec

In Newtonian mechanics, momentum is calculated as the sum of an object's mass and velocity. It has both a magnitude and a direction, making it a vector quantity. The momentum of an object is determined by its mass (m) and its velocity (v). Since velocity is a vector and mass is a scalar, momentum is a vector quantity. Momentum can be viewed as a body's "power" while it is moving, or the amount of force it can exert on another body. For instance, a baseball (small mass) thrown quickly can have the same momentum as a bowling ball (big mass) going extremely slowly (low velocity) (high velocity).

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A system's Center of Mass won't change if no external forces are applied to it, which means no forces from sources outside the system.

In a uniform gravity field, the phrases "center of mass" and "center of gravity" are interchangeable to refer to the particular place in an item or system that can be used to describe how the system reacts to outside forces and torques. The idea of the center of mass is to calculate the average mass by dividing it by the distance from a fixed location.

Because no external force actuated on the system or any of its components, C.M. velocity is zero (0) for this problem. Although it is true that the two people exerted pressures on themselves, these forces were internal (i.e., produced by system components themselves) and as a result, the system Center of Mass was unaffected.

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Answer: thermal energy, density

Explanation:

The relationship of kinetic energy is that when mass increases or velocity increases, kinetic energy will increase also.

Kinetic energy equals half of the product of mass and the square of the velocity. Kinetic energy is the energy that occurs when the body is in motion. The unit of kinetic energy is joule (J). The kinetic energy increases with an increase in mass and the square of velocity.

The kinetic energy also increases with an increase in the thermal energy of the particles. When the temperature increases, the average kinetic energy also increases and hence, the thermal energy of the molecules also increases. The kinetic energy increases with the decrease in density or volume of the object.

Hence, Kinetic energy increases with an increase in the mass of the object and the velocity of the object.

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The common speed in mph of the combined piece right after the collision was 30 mph. The cars move towards the lighter car.

An inelastic collision is a collision in which there is no internet loss in kinetic energy within the gadget because of the collision. each momentum and kinetic electricity are conserved portions in elastic collisions.

Calculation:-

50 mph = (50 × 0.477)

    = 22.35

   Applying the law of conservation of momentum.

we get the:-

m₁u₁ + m₂u₂ = (m₁ + m₂)V

V = m₁u₁ + m₂u₂/(m₁ + m₂)

   = 4000 × 22.35 + 1000 × (-22.35) / 4000 +1000

V = 13.41 m/s

 = 13.41/0.447

= 30 mph

Hence, the common speed of the car is 30mpH.

An inelastic collision is a come between two bodies in which the full kinetic energy of the two bodies remains equal. In an ideal, perfectly elastic collision, there may be no internet conversion of kinetic strength into other kinds which includes heat, noise, or capacity electricity.

Elastic collisions arise whilst both the momentum and kinetic energy are conserved, just like how billiard balls bounce off each different and move at the same speeds as earlier. Inelastic collisions appear whilst simplest the momentum is conserved but not the kinetic power.

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Attraction between people is Gravitation while people and earth is Gravity.

Every body in the universe attracts every other body with a force called force of gravitation. The attraction between sun and earth , attraction between table and chair lying in a room ..etc. are examples of gravitation. Gravitation is the weakest of four basic forces in nature. However , its most important force as it has its contribution in initiating the birth of stars and controlling the structure and evolution of entire universe.

Gravity is the special case of gravitation. If one of the attraction body is earth then gravitation is gravity.

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The energy extracted from inside the refrigerator during the same time period is 74.25 J.

Energy is the quantitative belongings this is transferred to a frame or to a physical device, recognizable within the overall performance of labor and in the form of warmth and mild. energy is a conserved amount, the law of conservation of electricity states that electricity may be transformed in shape, however no longer created or destroyed.

Calculated:-

The heat is delivered to the kitchen by the refrigerator =  81 j

The coefficient of performance of the refrigerator = 11

The heat extracted from inside the refrigerator = ?

The work done by the external agent to remove the heat = W = Qc/c

The heat delivered to the kitchen  Qh = Qc + W

                                                           Qh = Qc + Qc/c

The heat extracted from inside the refrigerator is Qc = QCH/c+1

                                                                                       = 11 × 81 /11 +1

                                                                                       = 74.25 J

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If the effective coefficient of friction was 0.40, the amount of work done required to move a 41.0-kg container 10.4 m of  a surface would be 1671.448 J.

Take into account "Friction" as the applied force on the box and "friction" as the force on by friction.

f = coefficient of friction*M* acceleration due to gravity

where 'M', 'N', and 'g' stand for the mass of the box, the normal force acting onto the block, and the acceleration acts on by gravity, respectively.

Since the people application of force does not cause the block to accelerate, we may write

F=0.4*41kg*9.8 = 160.72N;

the work required to move the box by a distance of s = 10.4 m is

Work done = Force *S

= 160.72*10.4 = 1671.448 J.

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The maximum speed at which the car could be moving will be 20 m/s.

Speed is the ration of total distance travelled by an object to the total time taken by the object to cover that particular distance.

Mathematically, Speed (v) = [tex]\frac{Distance (d)}{Time (t)}[/tex]

d = v*t

d = distance traveled

v = initial speed

t = time = 0.75v

d1 = 0.75(t)

Total distance = d1 + d2 = 35m

35 = 0.75v + d2

d1=35-0.75v

According to the Equations of motion.

[tex]v^{2} = s^{2} - 2sd1[/tex]

[tex]v = \sqrt{s^{2} - 2ad1 }[/tex]

where

s = final speed = 0m/s

v = Initial speed

a = acceleration = -10m/s2

d1 = displacement

[tex]v = \sqrt{0 - 2(-10)(35-0.75v) }[/tex]

[tex]v^{2} = 700 - 15v[/tex]

[tex]v^{2} + 15v -700 = 0[/tex]

On solving the above quadratic equation we get two values of v as:

v1 = 20 m/s

v2 = -35m/s

Since the velocity of the car has to be taken and also the car is moving in the forward direction, therefore v1 will be considered as the final velocity of the car, i.e. the maximum speed at which the car could be moving and not hit the barrier 35.0 m ahead will be 20 m/s.

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Light beam pass through the flat surface without deviation, but get refracted (i.e., deflected) at the curved surface on the far side as it may be at 90° to the curved surface.

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The force does the ring push on her at the top of the ride is 489.37N.

When an object with mass is pushed or pulled, it changes its velocity, according to the definition of force.

Given,

Ring rotates (T) = 5.50 s

Mass m= 51.0 kg

The velocity will now be determined as,

V = 2πr/T

V = 2π8/5.50

V = 50.54/5.50

V = 50.54/5.50

V = 9.134m/s.

By bringing the forces into balance,

N = mv²/R - mg

N = m (v²/R - g)

N = 51(9.134²/8 - 9.8)

N = 51(83.42/8 -9.8)

N = 489.37N

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The thickness of each page is 0.06 mm

You can measure the thickness of paper with a vernier caliper. Insert a piece of paper or cardboard between the caliper jaws. Then tighten the jaws and measure the distance between them. A digital caliper can indicate the thickness of a piece of paper.

Given,

number of pages book = 120

Total thickness of book = 8.2 mm

Thickness of front and back cover of the book =  0.5 mm

Thickness of pages = Total thickness - Thickness of front and back cover

Thickness of pages = 8.2 mm - 1 mm

Thickness of pages = 7.2 mm

Thickness of each page = 7.2/120

Thickness of each page = 0.06 mm

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The angle of the rope makes with the vertical when the ball's kinetic energy is halved is 14.78°.

Parameter

When the ball is pushed horizontally and moves from point A to point B where the ball's kinetic energy halves, the law of conservation of energy applies.

Mechanical energy at A = Mechanical energy at B

Epa + Eka = Epb + EKb

Eka - Ekb = EPb - Epa

[tex]Ek_A -\frac{1}{2}Ek_A = mgh_B - mgh_A[/tex]

[tex]\frac{1}{2}Ek_A = mg \: (h_B - h_A)[/tex]

[tex]\frac{1}{2} \times \frac{1}{2} m v_A^2 = mgh[/tex]

[tex] \frac{1}{4} v_A^2 = gh[/tex]

[tex]gh = \frac{1}{4} \times 1.3^2[/tex]

gh = 0.4225

[tex]h = \frac{0.4225}{9.8}[/tex]

h = 0.043 m

Look at the picture

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