A physicist makes a cup of instant coffee in a straight-sided cup with a diameter of 7. 00 cm by pouring in coffee crystals and then adding hot water to a volume of 350 cm3. As the temperature decreases from 95. 0 °c to 45. 0 °c, the height of liquid in the cup decreases by 3. 00 mm. How much of this height change can be attributed to the temperature change?.

If a wave has a wavelength of 50 m and is traveling through water that is 30 m deep then this kind of wave is called deep water wave.

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The energy of the motor of mass 450 kg if it is 85% efficient is 22491 J.

Energy can be defined as the capacity or the ability to perform work.

To calculate the energy of the motor if it 85% efficient, we use the formula below.

Formula:

Where:

Where:

Substitute these values into equation

Hence, the energy of the motor if it is 85% efficient is 22491 J.

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The answer is 28.98 rad/s.

Solution:

v = 10m/s

v = RW

= W = [tex]\frac{V}{R} = \frac{10}{0.345} = 28.98 rad/s[/tex]

Angular velocity is measured in radians per unit of time because it is the rate at which the central angle swept by an object changes as it moves around a circle. Linear velocity is measured in units of distance per unit of time. Angular velocity is a measure of rotation per unit of time. Represents the angle of rotation in a given amount of time.

Linear velocity is a measure of the concrete distance traveled by a moving object. The speed at which an object travels in a straight line path is called linear velocity. Simply put, it is the distance traveled in a straight line path in a given amount of time. Velocity is the rate of change of an object's position over a specified time range. When an object moves along a straight line path, its speed is called linear velocity.

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The self inductance in the solenoid is

We have,

Length of solenoid = 49.0 cm = 0.49 m ⇒ l

Diameter of the solenoid = 10.0 cm ⇒ d

Radius = 5 cm = 0.05 m ⇒ r

Number of loops in the solenoid is 1000 ⇒ N

µ₀ = 4π × 10⁻⁷ H/m.

So, the self inductance in the solenoid is:

L = {μ₀ (N)² (A)}/l

= {(4π × 10⁻⁷) (1000)² (0.05)²}/0.55

=  0.00570 H = 5.70 mH

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The object has to travel a horizontal distance of 0.943 m when it reaches a floor.

Here, it has been mentioned that the mass of the wood is = 8.00 kg

The mass of the clay blob is = 0.500 kg

The speed of the clay blob is = 24 m/s

The speed of the wood is = 0 m/s

We already know that the formula for the final velocity after the collision is

= [tex]m_{1}[/tex][tex]v_{1}[/tex]/[tex]m_{1}[/tex]+[tex]m_{2}[/tex]

Using this formula and the given conditions, we get-

= 1.41 m/s (i)

We know the formula = S = ut+1/2g*t^2

Using this formula and the values given, we get the time traveled to go down = 2.20= 0+1/2(9.8)*t^2

= t = 0.669 seconds (ii)

Using the values of (i) and (ii), we get-

Distance travelled horizontally = x = 1.41 * 0.669

= 0.943 meters

Therefore, we know that the object travels 0.943 meters horizontally,

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False, Some molecules may change from being a liquid to a gas, but not all molecules throughout the substance.

What is molecules?
According to the context, the term may not include ions that meet this requirement. A molecule is a collection of two or more atoms held together by the attractive forces known as chemical bonds. When speaking of polyatomic ions, the distinction between them and ions is frequently dropped in the fields of quantum physics, organic chemistry, and biochemistry. A molecule can be heteronuclear, which is a chemical compound made up of more than one element, like water, or homonuclear, which is a chemical compound made up of atoms of one chemical element, like the two atoms in the oxygen molecule (O2). The term "molecule" is frequently used to refer to any gaseous particle, regardless of its composition, in the kinetic theory of gases.

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Wavelength is the property of light determine whether it is blue or red or ultraviolet or any other type of light in the electromagnetic spectrum

Wavelength is that property of light which determine the color and type of light .

In visible region , every colors of light have its associated wavelength .

The distance between consecutive crests of a wave, particularly the points of an electromagnetic wave is known as its wavelength.

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the correct answer for the disk spins at of 200 to 6000 revolutions per minute is 20o rpm = 20.999 radian per second.

A body that has made one rotation has made two radians of angle.

We apply the same conversion factor to convert the angular velocity as well:

1rev/min=2π60 radian/s

200rpm=200(2π60)rad/s=20.944radian/s

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Starting at rest, a block accelerates at 4.0 meters per second square and slides down an 18-meter plank. The block needs three seconds to get to the bottom.

What is acceleration?

Acceleration is the term used to describe how quickly an object changes its velocity. A vector quantity is an acceleration. An object is said to be accelerating if its velocity is changing; an item with a steady velocity is not accelerating.

The velocity of a moving object refers to how quickly it is moving in that direction. Consider the speed of a car driving north on a highway or the speed at which a rocket takes off as an example.
Given that in the question block slides down an 18 m plank length with an acceleration of 4.0 meters per second square when it begins at rest.

Using the equation of motion,

S = ut + (1/2)at²

s is distance, s = 18 m

u is initial velocity, u = 0

a is acceleration, a = 4 m/sec²

t is time

18 = 0*t + (1/2)*4*t

solving we get t = 3 sec.

Hence, the time taken by the block to reach the bottom is 3 sec.
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The ball was rolling at a speed of 0.66 m/s when it was rolling on the desk.

Determine the time it takes the ball to fall  to the floor.

We have,

y = 0.70 m

g = 9.8 m/s²

s = 0.25 m

So,

y = ½ (a) (t)²

t = √(2y/g)

= √(2) (0.70 m) / (9.8 m/s²)

= 0.378 s

Determine the speed at which the ball rolls across the table.

v = s/t

= 0.25/0.378

= 0.66 m/s

Thus, the ball rolls off the table at a speed of 0.66 m/s

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Radially inward is the direction of the gum when the fan reaches its top speed.

Centripetal acceleration is the type of acceleration that acts on the object with its direction towards the midpoint of the circular motion that the object is revolving in like in the case of the fan with the gum.

It should be kept in mind that centripetal acceleration acts on the body when it is in a constant circular motion albeit the direction changes periodically with the object always acting radially inward.

The centripetal acceleration is given by the formula

= v² / r

Here v = velocity of moving object

r = distance from midpoint/centre of the circular path

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Acceleration due to gravity is defined as the acceleration produced in a falling body due to the force of gravity. It is denoted by “g” and its value is 9.8m/(sec*sec).

The value of “g” does not depend on the mass of the falling body, it means if two objects say a cotton ball of mass 100 gram and an iron ball of mass 100 gram are allowed to fall in a vacuum tube (free from air resistance) from some height, then both the objects will hit the ground at the same time because both get accelerated towards the ground with the same acceleration i.e 9.8 m/ (sec*sec).

In simple words, 9.8 m/(sec*sec) means the velocity of a falling body increases by 9.8 m/sec after every I sec.

Thanks.

Answer: The formula for acceleration due to gravity is F=mg

Explanation: Where F stands for the force acting on the body and m stands for the mass of the body g is the acceleration due to gravity

Using the concepts of Moment of inertia, we got that  2.43kgm²  is the moment of inertia of a  1. 5-kg-rod that rotates about its center if the length of the rod is 1. 8 m.

We know very well that moment of inertia of rod is different at different point.

Moment of inertia of rod about the center is given by (1/2)ML²,where moment of inertia of rod at the ends is given by (1/3)ML².

Now, we have mass of rod which is given by 1.5 kg, and length of rod is 1.8m

Therefore, moment of inertia of a rod about its center=(1/2)ML².

On putting the values,(M.O.I)=(1/2)×1.5×(1.8)×(1.8)

                                   =>(M.O.I)=(0.5)×1.5×1.8×1.8

                                    =>(M.O.I)=2.43Kgm²

Hence, the moment of inertia of a 1. 5-kg-rod that rotates about its center, if the length of the rod is 1. 8 m. is 2.43kgm².

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Subjunctive adverbs can be followed by a semicolon or period usually followed by a comma.

Adverb Conjunctions also called conjunctive adverbs to join two complete thoughts together like conjunctions. Use the second sentence to modify the first sentence like an adverb. Subjunctive adverbs can be followed by a semicolon or period, usually followed by a comma.

Conjunctive adverbs are a special type of adverb used to connect independent clauses together. While most adverbs are used to modify verbs adjectives or other adverbs subjunctive adverbs are used as conjunctions to connect one sentence to another. Indicates a connection between two separate statements within a sentence. Organize your ideas into two or more sentences. Show the relationships between ideas in stand-alone sentences.

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the correct answer is maximum height = 25.86 meters.

h(t) = -4.9t^2 + 8t + 3

take the derivative and set equal to zero

h'(t) = -9.8t + 8 = 0

max height is when  t = 8/9.8 = 4/4.9 = about .816 seconds t

plug that value into the 1st equation above to calculate maximum height'

h(4/4.9) = -4.9(4/4.9^2) + 8(4/4.9) + 3 = -3.2653 +26.1224 +3 = 25.86 meters = max height

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The potential energy of the spring-mass system when the spring is only stretched by our distance of a/2 is 2.5 Joules.

The potential energy of a spring for a particular mass spring system is given by,

U = 1/2kx²

x is the extension in the spring,

K is the spring constant.

If the spring is stretched by a distance of a then the potential energy of the mass spring system,

10 = 1/2ka²

If the spring mass-system is only stretched by a distance of a/2, then let us say that potential energy of the system is U',

U' = 1/2k(a/2)²

U' = 1/2ka²/4

Putting, 1/2ka² = 10,

U' = 10/4

U' = 2.5 Joules.

So, the potential energy of the system is now 2.5 joules.

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The antelope can flee from the lion if it can run in the same direction while speeding up, if it can run in that same direction while speeding up, or if it can do both.These first three claims are accurate in all three cases.

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The speed of the block ofter being hit by the bullet of mass 0.045 kg is 6.77 m/s.

Speed can  be defined as the ratio of distance to time.

To calculate how fast the block move after being hit by the bullet, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the speed of the block ofter being hit by the bullet is 6.77 m/s.

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The density of ice is less than that of water. So, ice floats on water. If the ice is floating on the surface of water the volume of ice submerged in the water will be equal to the volume of water displaced by the ice cube.

If a piece or cube of ice is placed in a container containing water, some of its portion will remain out of the water level. As we know the fact that, the volume of ice is greater than that of the water so after melting the volume of the piece will decrease and the water level will remain the same.

So, here the water level will remain the same when the ice cube will melt. Also, Stated by Archimedes that a floating object displaces an amount of water equal to its own weight. So as the water expands when it freezes, one ounce of frozen water has a larger volume than one ounce of liquid water.

Here, the apparent weight of the ice is equal to the weight of displaced water. When the ice will melt, it will occupy the volume of displaced water. So, water remains at the same level, as it was on before. It can also be said that the density of water is more than that of ice or vice versa, so the volume of water or the water level remains the same.

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We push town harder on the paddle tours with bicycle when first starting out then when moving because of the law of inertia.

According to the Law of Inertia and Newton's first law of motion,

If a body is at the state of rest or in the state of motion then it will continue it state unless and until an external force is applied on it in order to change its state.

The property of the object to remain in its state is called inertia. Whenever you try to change the state of body we use an external force.

So, when we start to pedal the bicycle we are trying to change the state of rest of the bicycle. But when the bicycle starts to move we are not trying to change the state of the bicycle we are continuously along the bicycle to move and remain and its state of motion.

This is the reason why we push down harder on the pedal tours with bicycle when first starting out then when moving.

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The accelerating upward with an acceleration of 1.80 m/s2 is 1102 N. The accelerating downward with an acceleration of 1.30 m/s2 is 807.5 N.

Acceleration is defined as the rate of change of velocity with time, both in terms of speed and direction. They are vector quantities, accelerations. The direction of an object's acceleration is determined by the direction of the net force acting on it.

The accelerating upward with an acceleration of 1.80 m/s2

ΣFy = ma − mg + N

= ma − (95)(9.8) + N

=  (95)(1.8) N

= 1102N

The accelerating downward with an acceleration of 1.30 m/s2

ΣFy = ma − mg + N

= ma − (95)(9.8) + N

= (95)(−1.3) N

= 807.5N

Thus, the accelerating upward with an acceleration of 1.80 m/s2 is 1102 N. The accelerating downward with an acceleration of 1.30 m/s2 is 807.5 N.

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The magnitude of the force per unit length between the wires is 3 x 10⁻⁵ N/m and attractive forces will be in output.

Given-

Two parallel wires, each carrying 3A of current in the same direction, are spaced apart by 6cm.

Theory-

Mathematics-

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The angular acceleration of the body is 9059.125 rad.

Angular Acceleration is described as the time rate of alternate angular velocity. it's also expressed in radians per 2d consistent with the second. accordingly, α = d ω d t. Angular acceleration is also called rotational acceleration.

Calculation:-

a. angular acceleration = change in angular velocity

a = 2π (1700 - 200)/60.115

  = 1.37 rad/sec²

b. θ = 01/2at²

      = 0.5×1.37 ×(115)²

      = 9059.125 rad.

Angular acceleration (α) can be described as angular velocity (ω) divided by acceleration time (t). rather, pi (π) increased by means of power pace (n) divided by acceleration time (t) multiplied by 30. This equation yields the usual angular acceleration SI unit of radians in line with 2d squared (Rad/sec²)

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the resistance of the wire to the nearest tenth of an ohm is 2Ω.

What is resistance?

resistance is a measure of the opposition to current flow in an electrical circuit. resistance always measure in ohm.It design with R.A resistor is a device designed to produce resistance. resistor can be used to the  limit current, divide voltage, or generate heat.

Sol-Potential difference (V) = current (I) * Resistance (R)

V = IR

I = 2.0A

V = 10v

So the

R = ?

V = IR

R = V / I

R = 10 / 2

R = 2Ω

Thus the,

The resistance across the wire is 2Ω.

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Her kinetic energy is 3,338 joules.

Solution:

Kinetic Energy =  [tex]\frac{1}{2} mv^{2}[/tex]

mass = 56kg

velocity = 11m/s

Kinetic Energy =  [tex]\frac{1}{2}[/tex]x 56 x

Kinetic Energy = 28 x 121

Kinetic Energy = 3,388 Joules.

Kinetic energy is the energy that an object possesses due to its motion. It is defined as the work required to accelerate a body of specified mass from rest to a specified velocity. Weight is a measure of the force of gravity that pulls an object down. This depends on the mass of the object and the acceleration due to gravity. Kinetic energy is the kinetic energy observable as the motion of a body particle or group of particles.

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The tension in the rope is changed by 75 N

Tension is the force that is transmitted through a body which can be a rope or a wire which is pulled from both sides. Whenever there is a rope being pulled from one side then according to Newton's third law, equal force is exerted by the rope on the other side. This transmission of forces is known as tension in that rope.

Given,

Mass 1 = m₁ = 1.5 kg

Mass 2 = m₂ = 7.5 kg + 1.5 kg = 9 kg

g = 10 m/s² = acceleration due to gravity

Tension in the rope when mass 1.5 kg is attached to the string,

T₁ = m₁g = 1.5 * 10 = 15 kg

Tension in the rope when mass 1.5 kg is attached to the string,

T₂ = m₂g = 9*10 = 90 kg

The change that tension undergoes

T₂ - T₁ = 90 - 15 = 75

Therefore, the factor by which the tension in the rope changes is 75 N

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The potential energy of the roller coaster at the top of the hill is equal to the kinetic energy of the roller coaster at the bottom of the hill.

The roller coaster is a device that is known to be a medium that we could use to demonstrate energy conservation. This is because, in the roller coaster, there is a constant conversion of energy from potential energy to kinetic energy and vice versa.

Now, we must recall that the total mechanical energy of the system is a constant. This implies that the total mechanical energy does not change. The potential energy of the roller coaster at the to of the hill is converted to the kinetic energy of the roller coaster as it is descending.

As such, as we follow the principle of the conservation of energy, it becomes clear that by comparison, the potential energy of the roller coaster at the top of the hill is equal to the kinetic energy of the roller coaster at the bottom of the hill.

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Buying or selling the Earth will go against the rights of the inhabitants of the world (humans and other living beings).

Solar influence

The relation to determine Roche limit is:

[tex]Roche Limit=(2.423) (Rp3) {{\sqrt[3]{\frac{D_{P} }{D_{m} } } } }[/tex]

Here  is radius of planet and  are density of planet and moon respectively.

According to the problem,

Density of Earth, = 5.5 g/cm³

Density of Moon, = 3.34 g/cm³

Consider  be the radius of the Earth.

Substitute the suitable values in the equation (1).

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The mass of a girl is 62 kg.    

An acceleration of an elevator (travels up) is 3 m/s².

When the elevator is going up, the normal force of a girl is calculated as follows :

First, draw force that work in the system. (Look at the picture!)

Based on the picture, we can see that normal force has the same direction as the elevator.

It means the normal force is positive and weight is negative.

∑F      = m × a

N - W = m × a

N        = (m × a) + W

N        = (m × a) + (m × g)

N        = m (a + g)

N        = 62 (3 + 10)

N        = 62 (13)

N        = 806 N

Normal force of 62 kg girl who travel up with an acceleration 3 m/s² by an elevator is 806 Newton.

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Answer: 6.083N at  -80.538 degrees

Explanation:

Force is a vector so there is magnitude and direction

1. Find the net force in each direction.

net force (y) = everything up (positive y direction) - everything down (negative y)

= 9-3 = 6N

net force (x) = everything right - everything left

= 5-6 = -1N

These are the components of the net force on the object.

r = <-1, 6>

r is the vector of the force.

We can find magnitude by using the Pythagorean theorem.

sqrt( 1^2 + 6^2) = sqrt 37 or 6.083N

to find the direction we can use trig identities

tan(theta) = y/x

tan^-1 (y/x) = theta

tan^-1(6/-1) = -80.538 degrees.