L 5.3.2 Test (CST): Noncontact Forces
Question 1 of 10
Which sentence describes a difference between mass and weight?
OA. Only mass depends on the amount of matter in the object.
OB. Only mass changes depending on the gravitational force.
C. Only weight changes depending on the gravitational force.
OD. Only weight depends on the amount of matter in the object.
SUBMIT

In order from highest to lowest energy, the sections of the electromagnetic spectrum are named as gamma rays, x-rays, ultraviolet radiation, visible light, infrared radiation and radio waves.

The electromagnetic spectrum is the range of all types of electromagnetic radiation. Radiation is the energy that travels and spreads out as it goes - the visible light coming from a lamp in your house and the radio waves that come from a radio station are two types of electromagnetic radiation.

Electromagnetic radiation is an electric and magnetic disturbance travelling through space at the speed of light. It contains neither mass nor charge but travels in packets of radiant energy called photons.

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The frequency of the waves is 0.88 Hz.

It is given to us that -

Ocean waves crash on the beach at a velocity of 3. 5 m/s

The distance between the crests of each wave is 4 m

We have to find the frequency of the waves.

We know that the velocity of the ocean waves can be represented by the formula as -

v = f * λ ---- (1)

where,

f = frequency of the ocean waves

λ = distance between the crests of each wave

According to the given information, we have -

velocity, v = 3.5 m/s

and, distance between the crests of each wave, λ = 4 m

Substituting these values in equation (1), we can find out the frequency of the ocean waves as -

v = f * λ

=> 3.5 = f * 4

=> f = 3.5/4

=> f = 0.88 Hz

Thus, the frequency of the waves is 0.88 Hz.

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The momentum of Kara's car before the collision, given that it was moving with a velocity of 11 m/s is 14300 Kg.m/s

Momentum of an object is simply defined as the product of mass and velocity. Mathematically it is expressed as:

Momentum = mass × velocity

Using the above formula, we can obtain the momentum of Kara's car before the collision as follow::

Mass of Kara's car = 1300 Kg

Velocity of Kara's car = 11 m/s

Momentum of Kara's car =?

Momentum = mass × velocity

= 1300 Kg × 11 m/s

= 14300 Kg.m/s

Thus, the momentum of Kara's car is 14300 Kg.m/s

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The speed of light from the source in the spacecraft's frame of reference is given by the formula Ux = Ux+v/C2+2Uxv/C2. The pace at which an object's position changes in relation to a frame of reference.

And is a result of time. An object's speed and direction of motion are specified by its velocity. A crucial idea in kinematics is velocity. Two different categories of frame of reference are as follows: An object that is fixed or moving at a constant speed is said to have an inertial frame of reference. The First Law of Motion of Newton is directly relevant in this frame. The frame of reference refers to the context in which an observer is placed when recording data.

Ux = Ux+v/C^2+Uxv/C^2

here, c =c/2

Ux = Ux+v/C^2+2Uxv/C^2

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a)how far the tree was found to be 0.9605 m

b) the height of the tree was found to be 0.14m

What exactly is object distance?

Object Distance, denoted by s, is the distance between an object and an optical element.

What are the qualities of a mirror image?

• The image obtained is fictitious.

•The picture is flipped laterally.

• The picture is upright.

• The picture has the same dimensions as the thing.

• The distance between the image acquired from the mirror and the item gained from the mirror is the same.

As a result, the distance between the tree and the mirror is the same as the distance between the picture and the mirror, i.e. 0.9605 m, and the height of the tree is the same as the height of the image, which is 0.14 m.

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a)how far the tree was found to be 0.9605 m

b) the height of the tree was found to be 0.14m

What exactly is object distance?

Object Distance, denoted by s, is the distance between an object and an optical element.

What are the qualities of a mirror image?

• The image obtained is fictitious.

•The picture is flipped laterally.

• The picture is upright.

• The picture has the same dimensions as the thing.• The distance between the image acquired from the mirror and the item gained from the mirror is the same?

As a result, the distance between the tree and the mirror is the same as the distance between the picture and the mirror, i.e. 0.9605 m, and the height of the tree is the same as the height of the image, which is 0.14 m.

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Answer:

Close, but not for most humans.  Infrared (IR) is on the edge of what is called the Visible Spectrum.  It is one of many electromagnetic waves that include visibile light IR, ultraviolet, microwaves, radio waves, etc.  

Explanation:

It really depends on how "visible light" is defined.  Humans cannot see IR, but some animals can.  

The initial total energy of the system equals the final total energy of the system.

The law of conservation of energy states that energy is neither created nor destroyed. For example, if you roll a toy car down a ramp and hit a wall, the energy is converted from kinetic energy to potential energy.

According to the law of conservation of energy is neither created nor destroyed. However, you can convert from one form to another. Taking into account all forms of energy, the total energy of an isolated system is always constant. According to the law of conservation of energy cannot be created or destroyed.

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The magnitude of force ( 50 N ) which satellite exerts on her but in opposite direction.

We will apply the Newton's Third Law of motion for solving this problem, which says that, "To each activity, there is an equivalent and inverse response". And that implies if any article (say object 1) apply some power on another article (say object 2), then, at that point, the item 2 will likewise apply same greatness of power on object 1, yet it will be in inverse heading.

So, we have amount of force exerted by a 65-kg astronaut on satellite which is 50N.

To balance that force, satellite will apply same amount of force on astronaut but in just opposite direction .

F' = - F

or F' = - 50 N.

Here, negative sign shows that the direction of force is opposite.

Hence, required value of force is 50N.

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The average atomic mass of element X is numerically equal to 85.48 amu.

Given , Percentage of isotope 1 = 72%

            Percentage of isotope 2 = 28%

            Mass of isotope 1 = 84.9 amu

            Mass of isotope 2 = 87 amu

i.e.

Average atomic mass = (0.72 * 84.9) + (0.28 * 87) = 85.48 amu

So the average atomic mass of element X is numerically equal to 85.48 amu.

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The energy associated with motion is called kinetic energy.

Your body doesn't just have energy when you're in motion. When an object is in motion it has a finite amount of kinetic energy. However, when not in motion, the body can store energy in the form of potential energy.

The body can also have a certain internal energy. This can be explained as follows. Energy is basically the ability of any body to do work. Suppose you are sitting ideally in your room and suddenly you realize that someone has changed the position of your study desk and you want to change it. So I pushed the table and moved it to where it suited me. This means that we have applied a finite force that causes displacement, i.e. we have done some work. So you had the ability to work properly. This means that you had energy in the form of internal energy.

[tex]mgh+\frac{mV^2}{2}=Energy \\\\m[gh+V^2/2]=E[/tex]

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It is an exercise of uniform rectilinear movement.

Uniform rectilinear motion is one in which an object moves in a straight line, in one direction, with a constant speed.

When we speak of constant speed, we mean that the movement maintains the same speed; That is, the object does not move faster or slower, always at the same speed.

Data:

V = ?

d = 512 m

t = 450 s

The uniform motion formula is: V=d/t

We clear, but in this case it is not necessary, since we want to calculate the velocity.

The speed of a horse that covers 512 m in 450 seconds is 1.14 m/s.

Answer: The speed registered by the horse is 1.13 seconds.

Step by step explanation:

¿Calculate the speed of a horse that travels 512 m in 450 seconds?

Data:

To calculate the speed of the horse, first we are going to divide but for this it is necessary to calculate its speed.

Rpt: The speed registered by the horse is 1.13 seconds.

Answer:

It is not possible to determine which of the dishes, A, B, or C, would make the food dish the warmest without more information. In general, the temperature of the food dish will increase as a result of heat transfer from the top dish to the food dish. This transfer of heat will cause the temperature of the top dish to decrease. The amount of heat transferred and the resulting change in temperature for both dishes will depend on the heat capacities and initial temperatures of both dishes, as well as the amount of time they are in contact with each other. In order to determine which of the dishes, A, B, or C, would make the food dish the warmest, more information about these factors would be needed.

Explanation:

For this situation, I would recommend using a compression spring, as this type of spring will provide the most consistent force over the full range of compression.

What are the applications of Compression Springs?

The applications of compression springs include:

Automobiles: It would be quite challenging to produce the majority of cars without at least some compression springs. In automobiles, compression springs are utilized in a variety of components, including suspension, hoses, and even seats. They are used in the seats to help them adjust to the body and provide comfort. Naturally, a number of sizes and forms are available to accommodate the wide range of uses for car compression springs.

Pens: A ballpoint pen can be used to monitor a compression spring. The pen can write with the tip exposed thanks to this spring, which then covers it inside the housing to keep the ink from drying out. This enables the use of pens without their bulky, losable caps.

Aeronautics: Without various kinds of springs, most air flight would be impossible. Air turbines, navigation systems, engine controls, wheels, brakes, meters, fuel cells, and diesel engines are just a few of the parts of an aeroplane that need springs, even if they may not be visible.

Firearms: When thinking about tension, think about compression springs. Consider the effort required to fire a bow and arrow. If a compression spring is used in place of the human component, the crossbow becomes a far more straightforward weapon.

Compression springs are mechanical springs that are designed to create resistance to a compressive force. Compression springs are typically made with a higher spring constant, which is the measure of how much force is required to compress the spring by a certain amount. With a higher spring constant, a shorter compression is required to achieve the desired launch speed. They are used in many different applications. Compression springs are commonly used to absorb shock, store energy, and return an object back to its original shape after being compressed.

Hence, compression spring is used to reach the targeted launch speed.

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There are 6 unique ways to distribute two identical objects in three separate containers.

Unique ways are the different ways in which the objects can be separately placed in the containers.

Number of ways are:

These are the 6 ways to distribute two identical objects in three separate containers.

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The cochlea is the organ responsible for hearing, and it is composed of several interconnected structures through which a pressure wave passes. Beginning at the oval window, the pressure wave then moves through:

And finally exits through the round window.

Order the structures that a pressure wave passes through in the cochlea:

This chain of structures creates a pathway that allows the pressure wave to pass through the cochlea, converting sound waves into signals that are then sent to the brain and interpreted as sound.

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The angular velocity of the wheel with a constant angular acceleration of 2.25 rad/s² clockwise at the beginning of the 4.00 s = 3.8 rad/s.

Angular velocity is the amount of angle traveled per unit time.

The time interval for one rotation is also known as the period, and the angle for one complete rotation is 360 degrees. Usually one full revolution can be written as degrees or radians.

We have,

Angular displacement = 30.0 rad ⇒ θ

Angular speed of the turn table = 1.85 rad/s² ⇒ α

Time of motion, t = 4.0 s ⇒ t

In uniformly variable rotational motion, the angular acceleration is constant.

So,

θ = ω₁t + ½ αt²

30.0 = ω₁ (4) + ½ (1.85) (4.0)²

30.0 = ω₁ (4) + 14.8

4 ω₁ = 30.0 - 14.8

= 15.2

ω₁ = (15.2)/(4)

= 3.8 rad/s

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The frequency of a wave is 20Hertz  if its time period is 0.05sec. Frequency is said to be inversely proportional to time period.

Frequency, in material science, the quantity of waves that pass a decent point in unit time; likewise, the quantity of cycles or vibrations gone through during one unit of time by a body in occasional movement. A body in occasional movement is said to have gone through one cycle or one vibration subsequent to going through a progression of occasions or positions and getting back to its unique state. See likewise precise speed; straightforward symphonious movement.

If the period, or time span, expected to finish one cycle or vibration is 1/2 second, the frequency is 2 every second; assuming that the period is 1/100 of 60 minutes, the frequency is 100 every hour. By and large, the frequency is  proportional of the period, or time span; i.e., frequency = 1/period = 1/(time stretch). The frequency with which the Moon spins around Earth is somewhat in excess of 12 cycles each year. The frequency of the A line of a violin is 440 vibrations or cycles each second.

So, we know that frequency is defined as inversely proportional to time period.

So, frequency=1/Time period

=>v=1/0.05

=>v=100/5

=>v=20/sec

or v=20Hertz.

Hence, frequency of wave is 20Hertz.

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The change in internal energy will be 27J when heat is released.

Every time a process occurs, it is usually accompanied by an energy shift. Energy comes in many forms, such as heat, light, and work.

The generation or absorption of energy in various processes dictates that each substance must be associated with a certain amount of energy. Its actual value depends on the nature of the material and the conditions of temperature, pressure, volume and composition.

The sum of various types of energy associated with atoms and molecules, such as electronic energy (Ee), nuclear energy (En), chemical bond energy (Ec), potential energy (Ep), and kinetic energy (Ek). Sum of translational energy (Et), vibrational state energy (Ev), and rotational energy (Er).

Represented by the symbol U or E.

U or E = Ee + En + Ec + Ep + Ek

The energy stored in matter in this way is called internal energy.

U=65-38=27J

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The momentum of the clay and the cart is 34 kgm/s.

Momentum can be defined as the product of mass and velocity.

To calculate the momentum of the clay and the cart, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, their momentum is 34 kgm/s.

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The centre maximum's peak intensity in a two-slit interferogram is 0.75 I 0I intense.

The degree, volume, or quantity of a phenomenon, such as fire, passion, weather, work, or passion, is known as its intensity. The word "intensity" has been linked to passion, fire, and murder in the past. When describing the intensity of something like a flame or possibly a love affair, it is utilized.

Energy density times wave speed equals intensity, which is the amount of energy a wave transports over a surface of a given area in a unit of time. Watts per sq.m are the most common units used to measure it. The strength or amplitude of a wave will determine its intensity.

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A loop's magnetic flux will alter if it is perpendicular to a uniform magnetic field. if the loop is swapped out for two loops, each of which is half as large.

B = BAcos is the magnetic flux formula. As a result, the flux is at its maximum when B is perpendicular to the wire loop and at zero when there is no magnetic field component perpendicular to the loop.

Multiply the surface area by the portion of the electric field perpendicular to the surface to determine the flux across a given surface. No field lines will flow through the surface if the electric field is perpendicular to it, and the flux will be zero.

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Answer:

Below

Explanation:

Going forward and stops .....the backpack wants to keep going forward due to its inertia.

The power must be supplied to the water to effect this discharge is 28174.32 kW.

The ratio of viscous forces to inertial forces is known as the Reynolds number. A dimensionless number called the Reynolds number is used to group fluid systems where the influence of viscosity plays a significant role in regulating the velocities or the flow pattern of a fluid.

Discharge = Q = 32 m³/s

Velocity of flow=V=Q/A = 32/( π(1.5)²/4)= 18.11 m/s

Reynold's no is given by

Re = VD/v = (18.11)(1.5)/(1.31x10⁻⁶) = 20736641.22

For steel pipe

Roughness = e = 0.045 mm

Relative roughness = E= e/D= (0.045x10⁻³)/1.5=0.00003

Friction factor from Moody's diagram is

f = 0.00988

Apply Bernoulli's theorem b/w top of left reservoirs and exit of pipe

A - denote left reservoir and B- denote exit of pipe

Pa/y + V₂²/2g + Za + hp = Pb/ γ+Vb²/2g + Zb + hf

Where

Pa= Pb=0

Va= 0, Vb = V = 18.11 m/s

Za = (100-95) = 5 m, Zb=(140-95) = 45 m

Frictional head loss =hf = flV²/2gD= (0.00988x300x18.11²)/(2x9.81x1.5)

Frictional head loss = hf = 33.03 m

hp = pump head

Putting values

0+0+5+hp = 0 +18.11²/(2x9.81) +45 +33.03

=> hp = 89.75 m

Power that must be supplied is given by

P = γQhp

P = 9.81x32x89.75

P = 28174.32 kW.

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The range of visible light is from 7.69 * 10¹⁴ Hz.

Frequency is defined as the number of complete cycles a wave can complete in one second. We know that, the SI unit of frequency is Hertz (Hz).

We know the relation between speed of light, wavelength and frequency as

v = f * λ ----(1)

where, v is the speed of light in air

f is the frequency of visible light

λ is the wavelength of visible light

Making ' f ' as subject in the above equation as,

f = v / λ ----(2)

We know that speed of light in air is 3 * 10⁸ m/s

λ = from 3.9 * 10⁻⁷ m

Substituting the values in the above equation (2), we have

f = v / λ = (3 * 10⁸)/(3.9 * 10⁻⁷) = 0.769 * 10¹⁵ Hz = 7.69 * 10¹⁴ Hz

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The fraction of the iceberg that is above the surface of the water is 8.3 %.

The specific gravity of any material is defined as the ratio of the density of the material to the density of water.

Mathematically, the formula for specific gravity of materials =

= S.G = density of the material / density of water

Specific gravity of the iceberg = 0.917

Specific gravity of the seawater = 1.025

The fraction of the iceberg submerged in the seawater =

= 0.917 = 0.917 x 100 %

= 91.7 %

The fraction of the iceberg that is above the surface of the water =

= 1 - 0.917

= 0.083

= 0.083 x 100 %

= 8.3 %

Thus, the fraction of the iceberg submerged in the water is a function of the specific gravity of the iceberg.

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It take  1.45s to the Martian detector to hit the ground.

We are know that,

Acceleration = a = - 3.8 m/s²

Distance = r = 8m

Final velocity = v =  0 (The rock's velocity is zero at its maximum height.)

Time = ?

Thus to calculate the hitting time of the Mars ground we can use the formula,

acceleration  = change in velocity / time

First of all we have to calculate the initial velocity (u) of the Martian i.e.

a = u²/r

u² = a.r

u² = (-3.8m/s²)× 8m

u² = -30.4m²/s²

u = - 5.51 m/s

Putting the value of initial velocity in the above equation we can get the hitting time,

-3.8 m/s² = 0 - (5.51m/s)/t

t = (-5.51m/s)/(-3.8m/s²)

t = 1.45s

The Martian detector hits the ground in 1.45 seconds.

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Then the depth of the ice is 26.55 x 10¹² m

Let speed of the radio wave be represented as 'v'

Let frequency of the radio wave be represented as 'f'

Let distance of the radio wave be represented as 's'

Let time period of the radio wave be represented as 't'

From the formula for distance:

v=s/t

v= s x 1/t

Frequency is the inverse of time period. So, 1/t in the above formula can be replaced by f.

v = s x f

putting values in the above equation

t = 32.9 x 10⁻⁶ s

v = 1.7 x 10⁸ m/s

The, f = 1/t

f = 1/3.2 x 10⁻⁶ s⁻,

So,

s = 1.7 x 10⁸ x 1/3.2 x 10⁻⁶

= 1.7/3.2 x 10⁸⁺⁶

= 0.531 x 10¹⁴

= 53.1 x 10¹²

Then the depth of the ice would be s/2 as the distance is covered twice by the wave in the given time frame.

Depth of ice = 53.1 x 10¹²/2

Depth of ice = 26.55 x 10¹² m

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The weight is 200 N of a fish that would stretch the spring by 31.0 cm.

We can use Hooke's Law to solve this problem. Hooke's Law states that the force (F) needed to stretch a spring is proportional to the amount of stretch (x). The mathematical expression for Hooke's Law is:

F = kx

where k is the spring constant.

We can rearrange this equation to solve for k:

k = F/x

We can substitute the given values for F (135 N) and x (21 cm) to calculate the spring constant:

k = 135 N/21 cm

k = 6.43 N/cm

Now that we know the spring constant, we can use Hooke's Law to calculate the force needed to stretch the spring by 31 cm.

F = kx

F = 6.43 N/cm x 31 cm

F = 199.33 N

Finally, we can use the force to calculate the weight of a fish that would stretch the spring by 31 cm. Since weight is equal to force multiplied by the acceleration due to gravity (g = 9.8 m/s2), we can use the following equation:

Weight = F x g

Weight = 199.33 N x 9.8 m

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The distance d from the box to the edge of the table if it takes 1.5 s for the box to reach the edge once it begins to move is 1 m

μk = 0.32

t = 1.5 sec

For mass B,

mBg - T = mB a

For mass A,

T - F f = mA a

T - μKmAg = mAa

a = 1.35 × 9.8 - 0.32× 3  × 9.8/ 4.35

a = 0.88 m/[tex]S^{2}[/tex]

vi = 0

d = Vi t + 1/2 a[tex]t^{2}[/tex]

distance d = 0.99 ≈ 1m

Distance is a scalar quantity that describes "how much ground an object has covered" while moving. Displacement is a vector quantity that describes "how far out of place an object is"; it represents the overall shift in position of the object. Distance is a measurement of how far apart two things or locations are, either quantitatively or occasionally qualitatively. Distance in physics or common language can refer to a physical length or an estimate based on other factors (e.g. "two counties over"). The term is also frequently used metaphorically to denote a measurement of the degree of difference between two similar objects (such as statistical distance between probability distributions or edit distance between strings), given that spatial cognition is a rich source of conceptual metaphors in human thought.

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The best statement about the force of friction exerted on you by the ground is that a force of static friction pointing up the hill, parallel to the surface of the hill is applied to you by the ground.

Static friction is define as the force that is exerted so as to keep the object at rest. The friction experienced when individuals try to move a stationary object on a surface, without actually triggering any relative motion between the body and the surface on which it is on.

Following, the Newton's Third law of Force, every action has equal and opposite reaction. Hence, to neutralize the force acting on the ground due to you, a parallel force exerted by the ground acts on on you.

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