A squirrel travels from one tree top to another. the distance between tree tops is 30 m and takes the squirrel 8 s to travel. What is the speed of the squirrel?

as we know that velocity= displacement/change in time

hence velocity here is= 11-3/12-0

=8/12

=2/3

=0.667m/s

hopefully i am right

Ganymede is the largest jovian moon that appears to have been captured by Jupiter's gravitational pull during the early formation of the solar system.

The planetary-mass moon Ganymede, also known as Jupiter III, is the largest and most massive natural satellite of Jupiter and the entire Solar System. Despite being the only moon in the Solar System with a magnetic field, it is the largest object in the Solar System without an atmosphere. Although it is larger than the planet Mercury, Io, or the Moon, Titan has a slightly lower surface gravity. Water and silicate rock make up almost equal parts of Ganymede. It is a fully differentiated entity with a liquid core rich in iron and an interior ocean that may be larger than the sum of all the oceans on Earth.

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Answer:

velocity= 135m/s

Explanation:

velocity = 300×0.45

= 135m/s²

Answer: Yes. Please find the answer in the explanation.

Explanation:

Yes. Since velocity is a vector quantity, that is, it has both magnitude and direction.

If the displacements covered are not of the same direction, the velocity will not also of the same direction.

Take for instance, if the velocity in a positive is 40 m/s and velocity in the opposite direction is - 20 m/s . Then, the resultant velocity will be 40 - 20 = 20 m/s

Therefore,  it is possible that at any time during their trip their velocity was -20 m/s.

If the amount demand of a product changes more than proportionally as its price rises or falls, then it is said to be elastic.

The more replacements there are for an item, more elastic the good is, according to definition of an elastic good, which is where change in price results in a large movement in demand. Price elasticity of demand is determined by dividing percentage change in quantity required by the percentage change in price.

Products like cars, appliances, and luxury items that are rarely purchased are examples of elastic commodities. In the event that the cost of these products is momentarily high, consumers may decide to put off buying.

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The simplex algorithm is a method for solving linear programming problems by examining and improving vertices of a feasible region of the constraints set.

The algorithm searches for the maximum value of the objective function, and it begins at the initial basic feasible solution (IBFS), which is calculated using the slack form of the constraints set. The algorithm stops when there is no better solution possible that is reachable via a basic feasible solution. The method would thus terminate with an optimal feasible solution, i.e., when the constraints set is bounded and the objective function is linear.The optimal value of the objective function is calculated using the optimal basic feasible solution.

The optimal value of the objective function is the maximum value that the objective function can have and is calculated by substituting the values of the variables from the optimal basic feasible solution into the objective function. Thus, the value of the objective function at the optimal basic feasible solution is the optimal value of the objective function.

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The given statement is that in beams with circular cross-sections, transverse shear stress acts parallel to the y axis over the entire depth of the shape.

The tension that develops as a result of the internal shearing of a beam as a result of a shear force applied to the beam is known as shearing stress.

One-half of the difference between the primary stresses is the maximum shear stress. It should be noticed that the primary planes equation, 2p, results in two angles between 0° and 360°.

The primary stresses brought on by bending are typical tension and compression stresses. However, the state of stress within the beam also includes large normal stresses caused by bending in addition to shear stresses caused by the shear force, even though the former is often of a lesser order than the latter.

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Answer:

The name of the force is elastic (spring) force

Explanation:

The elastic force which is the restoration force of an elastic (spring like) object that tries to return to its initial non-stretched state built up by the pulling of the bow by the archer (using the muscles) pushes on the arrow which the archer releases the same time he leaves the bow string, and the arrow flies in the direction already pointed by the archer

The arrow ultimately falls down due to gravity forces that acts on all objects within the Earths gravitational field. However due to the speed of constant horizontal speed of the arrow and increasing downward speed of the due to the gravity force, the falling of the arrow looks disappointing.

The rocket will cover \(1 \times 10^3\rm \ m\) distance in 4. 5 s. Acceleration can be defined as the change in velocity.

Acceleration can be defined as the change in speed or the direction of the object.

From kinamatic equation:

\(D = v_{t} +\dfrac 12at^2\)

Where,

\(D\) - final velocity =  445 m/s

\(v_0\) -  initial valocity = 0 m/s

\(a\) - acceleration = 99. 0 m/s²

\(t\) - time =  4. 50 s

Put the values in the formula,

\(D = 0\times ( 4.5) + \dfrac12\times (99)(4.5)^2\\\\D = 1002 {\rm \ m}\\\\D = 1 \times 10^3\rm \ m\)

Therefore, the rocket will cover \(1 \times 10^3\rm \ m\) distance in 4. 5 s.

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The pulling force exerted by the locomotive of mass 1.1 * \(10^{5}\) kg on the first train car of mass 8.1 * \(10^{4}\) kg is 81 KN

F = m a

F = Force

m = Mass

a = Acceleration

Mass of each car = 8.1 * \(10^{4}\) kg

Since the locomotive has to pull 2 cars,

m = 16.2 * \(10^{4}\) kg

a = 0.5 m / s²

F = 16.2 * \(10^{4}\) * 0.5

F = 8.1 * \(10^{4}\) N

F = 81 KN

This formula used to solve the problem is derived from Newton's second law of motion. It states that the force is the rate of change in momentum. It can also be written as,

F = dp / dt

Therefore, the pulling force exerted by the locomotive on the first car is 81 KN

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The difference between adhesive and cohesive is that adhesive refers to the attraction between different substances, while cohesive refers to the attraction between similar substances.

Adhesive and cohesive are terms used to describe the behavior of liquids and the forces between their molecules.

Adhesive refers to the attraction between different substances. Adhesive forces between liquids and solids, for example, result in the wetting of the solid surface by the liquid. Adhesive forces can be strong or weak, depending on the properties of the substances involved. For example, water is a highly adhesive liquid and has a strong attraction to many surfaces.

Cohesive refers to the attraction between similar substances. Cohesive forces between liquids, for example, result in surface tension. Cohesive forces can also be strong or weak, depending on the properties of the liquid. For example, water has a relatively high level of surface tension due to its cohesive forces.

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By using third law of equation of motion, the final velocity V of the rubber puck is 8.5 m/s

Given that a hockey player hits a rubber puck from one side of the rink to the other. The parameters given are:

mass m =  0.170 kg

initial speed u = 6 m/s.

Distance covered s = 61 m

To calculate how fast the puck is moving when it hits the far wall means we are to calculate final speed V

To do this, let us first calculate the kinetic energy at which the ball move.

K.E = 1/2m\(U^{2}\)

K.E = 1/2 x 0.17 x \(6^{2}\)

K.E = 3.06 J

The work done on the ball is equal to the kinetic energy. That is,

W = K.E

But work done = Force x distance

F x S = K.E

F x 61 = 3.06

F = 3.06/61

F = 0.05 N

From here, we can calculate the acceleration of the ball from Newton second law

F = ma

0.05 = 0.17a

a = 0.05/0.17

a = 0.3 m/\(s^{2}\)

To calculate the final velocity, let us use third equation of motion.

\(V^{2}\) = \(U^{2}\) + 2as

\(V^{2}\)  = \(6^{2}\) + 2 x 0.3 x 61

\(V^{2}\) = 36 + 36

\(V^{2}\) = 72

V = \(\sqrt{72}\)

V = 8.485 m/s

Therefore, the puck is moving at the rate of 8.5 m/s (approximately) when it hits the far wall.

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Explanation:

gas vibrate and moves freely at high speeds, liquid vibrate, move about, and slide past each other. solid vibrate (jiggle) but generally do not move from place to place

hope it helps you

Answer:

(a) RC time constant of the circuit is 6.9 × 10⁻⁶ ms

(b) The potential drop across the capacitor 1.00 s after the switch is closed is 0 V

Explanation:

The given parameters are

The length of the graphite pencil, L = 5.00 cm

The diameter of the graphite, D = 0.05 mm

The resistivity of the graphite, ρ = 1.38 × 10⁻⁵ Ω/m

The capacitance of the capacitor, C = 10.0 mF

The voltage of the power source, V = 0.50-V

(a) The RC time constant of the circuit, τ, is given as follows;

τ = R × C

Where;

R = The resistance of the graphite = L × ρ

C = The capacitance of the capacitor

∴ R = 5.00 cm × 1.38 × 10⁻⁵ Ω/m = 6.9 × 10⁻⁷ Ω

RC time constant of the circuit, τ = 6.9 × 10⁻⁷ Ω × 10.0 mF = 6.9 × 10⁻⁶ ms

RC time constant of the circuit, τ = 6.9 × 10⁻⁶ ms

(b) The potential drop after t = 1.00 s is given as follows;

\(i = \dfrac{V}{R} \cdot e^{-\dfrac{t}{R\cdot C} }\)

Where;

I = The current in the circuit

V = The voltage in the circuit = 0.50 V

R = resistance in the circuit = 6.9 × 10⁻⁷ Ω

C = The series capacitance = 10.0 mF

t = The time taken = 1.00 s

Plugging in the variable values, gives;

\(I = \dfrac{0.5}{6.9 \times 10^{-7}} \cdot e^{-\dfrac{1.00}{6.9 \times 10^{-7}\times 10.0 \ mF} } = 0\)

V(1) = I·R = 0 × R = 0

The potential drop across the capacitor 1.00 s after the switch is closed, V(1)  = 0 V

Answer:

400 kg-m/s

Explanation:

Given that,

Mass of the woman, m = 50 kg

Initial velocity, u = 8 m/s

Final velocity, v = 0 m/s

We need to find the change in momentum of the woman. It can be given by :

\(\Delta p=m(v-u)\\\\=50\times (8-0)\\\\=400\ kg-m/s\)

So, the change in momentum is 400 kg-m/s.

The minimum energy of the two oppositely directed gamma rays in a PET procedure is : 0.51 MeV

In a PET procedure when an electron and positron collide the energy equivalent of their individual masses are converted into gamma rays which will move in directions opposite to each other.

Given that an electron and a positron posses equal masses the minimum energy of the gamma ray will be 0.51MeV

Hence we can conclude that the minimum energy of the two oppositely directed gamma rays in a PET procedure is 0.51MeV.

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The intensity of the sound you hear at a distance of 280cm away from the tuning fork is 7.72 x 10⁻⁶ W/m².

The power carried by sound waves per unit area in a direction perpendicular to that area.

It is defined as the ratio of power and area.

I = P / 4πr²

Given is the radius 280 cm =  2.8 m and power 7.6 x 10⁻⁴ watt, then the sound intensity is

I =  7.6 x 10⁻⁴ / (4 x 3.14 x 2.8²)

I = 7.72 x 10⁻⁶ W/m²

Thus, the intensity of the sound you hear at a distance of 280cm away fr0om the tuning fork is 7.72 x 10⁻⁶ W/m².

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Answer:

Ammonia, \((NH_{3})\)

Explanation:

If a Rac variant, in which the residue at position 61 was replaced with an alanine (Rac-61A), was synthesized. Also, Wild-type Rac and Rac-61A were incubated separately with VopC.

In order to obtain data to support that VopC modifies Rac at residue 61, the samples should be analyzed for the presence of Ammonia (\(NH_{3}[\tex]) compound.

In chemistry, the Vanadyl Phthalocyanine (VopC) comprises of a catalytic domain that activates host cells GTPase Rac irreversibly, through the deamide side chain of the residue existing at position 61.

Also, we know that a deamidation reaction gives off Ammonia, \((NH_{3})\) and as such when ammonia is present in the sample containing Wild-type Rac but not in Rac-61A, this simply proves or provide the data to support that VopC modifies Rac at residue 61.

Additionally, deamidation can be defined as the chemical conversion (hydrolysis) of an amide functional group such as glutamine, asparagine, in a polypeptide to another functional group such as glutamic acid or isoaspartic acid respectively by treating it with a strong acid (deamidate, transamidase).

Drop a known mass ball above a motion detector and record the ball's ultimate speed before it reaches the motion sensor.

A motion sensor is an electronic device that detects and triggers a response to movement or changes in an environment. It is commonly used in security systems to detect intruders, in lighting systems to turn lights on when motion is detected, and in other applications such as robotics, gaming, and industrial automation. Motion sensors work by detecting motion in a specific area and sending a signal to a control panel, which then triggers a response in the form of an alarm, lights, or other actions. Motion sensors come in a variety of shapes, sizes, and sensitivities and are designed to detect motion from a variety of sources.

Give a known-mass block a beginning velocity that causes it to slide across a rough surface in front of a motion detector, slow down, and eventually halt. Use the motion detector to capture the block's starting velocity.

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Based on the Latent heat of vaporization of iron, the choice that calculates the amount of energy needed to change the state of iron during intervals D-E is 6272.0 KJ.

The amount of heat needed to transform a unit mass of a substance from a liquid to a gas at that solid's boiling point is known as the latent heat of vaporization.

The following is the formula to determine a substance's latent heat of vaporization:

L = q/m, the latent heat of vaporization where;

Δq is the heat change \sm is the mass of the liquid

The interval D to E is vaporization

Heat required = 349.6 kJ/mol * 112 g / 56g/mol

Heat required = 699.2 kJ

Therefore, Based on the Latent heat of vaporization of iron, the choice that calculates the amount of energy needed to change the state of iron during intervals D-E is 6272.0 KJ.

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The width of the single slit is approximately 0.085 mm.

To find the width of the single slit, we can use the formula for the angle of the first diffraction minimum:

sinθ = λ / d

where θ is the angle of the first diffraction minimum, λ is the wavelength of the light, and d is the width of the slit.

Rearranging the formula, we can solve for d:

d = λ / sinθ

We know that the wavelength of green light is approximately 520 nm (or 0.00052 mm), and the angle of the first diffraction minimum is 20 degrees. Converting the angle to radians, we get:

θ = 20° × π / 180° = 0.349 radians

Plugging in the values, we get:

d = 0.00052 mm / sin(0.349) ≈ 0.085 mm

Therefore, the width of the single slit is approximately 0.085 mm.

The width of a single slit through which 520 mm green light passes to form a first diffraction minimum at an angle of 20 degrees is approximately 0.085 mm.

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Answer:

they both exert the same pressure

Explanation:

Pressure is the ratio of force to area. It is given as:

\(P=\frac{F}{A}\) ,  where F is the force, P is pressure and A is area

1) For the cuboid, the area of the base placed on the ground (A) = 8 cm × 3 cm = 24 cm² = 0.0024 m². Therefore the pressure is:

\(P=\frac{F}{A}=\frac{60}{0.0024} =25000N/m^2=25KN/m^2\)

2) For the cube, the area of the base placed on the ground (A) = 4 cm × 4 cm = 16 cm² = 0.0016 m². Therefore the pressure is:

\(P=\frac{F}{A}=\frac{40}{0.0016} =25000N/m^2=25KN/m^2\)

Therefore, they both exert the same pressure.

Gravitational force; a force of attraction between objects that is due to their masses.

the amount of the gravitational force is directly proportional to the masses of the two items and inversely proportional to the square of the distance between the two objects.

Gravitational force is an attractive force that exists between all objects with mass.

F=Gm₂m₂/d²

Where m1 and m2 are the masses of the objects in kilograms, d is the separation between them in meters, and G is the global gravitational constant (i.e., it has the same value across the universe).

G=6.67 x 10-11 N m2/kg2

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The probability of obtaining a reading greater than 0.11°C from a randomly selected thermometer if the actual temperature is freezing is approximately 0.4562.

To find the probability of obtaining a reading greater than 0.11°C from a randomly selected thermometer if the actual temperature is freezing (0°C), we need to calculate the z-score and use the standard normal distribution.

The z-score formula is given by:

z = (x - μ) / σ

where:

x is the value we want to find the probability for (0.11°C),

μ is the mean of the distribution (0°C),

and σ is the standard deviation of the distribution (1.00°C).

Calculating the z-score:

z = (0.11 - 0) / 1.00

z = 0.11 / 1.00

z = 0.11

Now, we need to find the probability of obtaining a z-score greater than 0.11 from the standard normal distribution. We can look up this probability in a standard normal distribution table or use a calculator.

Using a standard normal distribution table, the probability of obtaining a z-score greater than 0.11 is approximately 0.4562.

Therefore, the probability of obtaining a reading greater than 0.11°C from a randomly selected thermometer if the actual temperature is freezing is approximately 0.4562.

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Answer: nucleons are the particles that make up in nucleus

Explanation:

Nucleons are the particles that make up a nucleus, and they include protons and neutrons.

Nucleons are particles that make up nucleus of an atom. They include either proton or neutron, or both found in atomic nucleus.

Generally, nucleons are subatomic particles found within nucleus of an atom.

Therefore, we can conclude that, nucleons are the particles that make up a nucleus.

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Answer:

Fluorescent lamp with a 30 in its nomenclature indicates it produces light with a colour temperature of 3000k

Explanation:

A low-pressure mercury vapor gas discharge lamp called a fluorescent lamp or fluorescent tube employs fluorescence to create visible light. Mercury vapor is excited by an electric current in the gas, which generates short-wave UV rays that causes a phosphor coating on the inside of the lamp to glow. For a fluorescent lamp with 30 in to provide good rendition to warm colour, the colour temperature must be at least up to 3000k. The colour of light emitted by a hypothetical opaque, non-reflective substance at a specific temperature expressed in kelvins is known as colour temperature. Regardless of the temperature of other light sources, the colour of their light is classified using the colour temperature scale.

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According to the data given in the question the net force on the box is of 5 N.

All of the forces that are applied to an object are added up to form the net force. As a consequence of the fact that it (force) is a vector and therefore that two forces with identical magnitudes and opposing directions cancel each other out, the resultant force is the total of the forces, or put another way, the net force is just the total of all the forces.

Given data :

Force on box to the left side (F1) = 15 N

Force on box to the right side (F2) = 20 N

Because both forces are in opposite direction

Hence,

Net force = F2 - F1

Net force = 20 - 15

Net force = 5 N.

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Answer:

Reflection

Explanation:

The particles in the atmosphere only reflect the color blue and and all others are absorbed. Only the reflected colors can be seen from our eyes not the absorbed ones