a wheel initially rotating at an angular speed of 2.6 rad/s turns through 30 revolutions during the time that it is subject to an angular acceleration of 0.42 rad/s2. how long did the acceleration last?

Answer:

Vx = 35 x cos(13deg)

Vy = 35 x sin(13deg) - gt  

(g is acceleration due to gravity =~9.8 meter/second^2, t is time in second)

Explanation:

The tiger leaps up, then x and y component of its velocity are:

Vx = Vo x cos(alpha)

Vy = Vo x sin(alpha) - gt

(Vo is tiger's initial velocity, alpha is angle between its leaping direction and horizontal plane)

Hope this helps!

Answer:

i. \(u=\frac{2s}{t}-v\)

ii. \(v=\frac{2s}{t}-u\)

Explanation:

i.)

\(s=\frac{1}{2}(u+v)t\\\\2s=(u+v)t\\\\\frac{2s}{t}=u+v\\\\\frac{2s}{t}-v=u\)

ii.)

\(s=\frac{1}{2}(u+v)t\\\\2s=(u+v)t\\\\\frac{2s}{t}=u+v\\\\\frac{2s}{t}-u=v\)

Hormones are substances that communicate with your organs, skin, muscles, and other tissues through your blood to coordinate various bodily functions.

It serves as a sensory organ (touch, temperature detection), aids in temperature control, protects against mechanical, thermal, and physical injury as well as hazardous substances, prevents moisture loss, reduces the harmful effects of UV radiation, has an immune system that can detect diseases, etc.

The six primary functions of the skin are: protection, absorption, excretion, secretion, regulation, and sensation.

Our first line of defence against harmful chemicals, radiation, and poisons is our skin.

The outside world is kept at bay by a skin barrier. is the first line of defence against potentially harmful microbes.

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We cannot solely depend on the natural CO2 cycle to lower carbon-dioxide levels because the current rate of anthropogenic emissions, primarily from burning fossil fuels and deforestation, has significantly disrupted the natural balance.

The natural CO2 cycle involves processes like photosynthesis, respiration, and dissolution in oceans, which work to maintain a stable concentration of carbon dioxide in the atmosphere. However, human activities have led to a rapid increase in CO2 emissions, overwhelming the natural cycle's ability to remove excess carbon dioxide. This has resulted in an enhanced greenhouse effect, causing global warming and climate change. Natural processes like photosynthesis and ocean absorption can only remove a limited amount of CO2 per year, and this capacity is not sufficient to counterbalance the excessive emissions produced by human activities.
Moreover, climate change itself can further impact the efficiency of the natural CO2 cycle. For example, warmer temperatures and altered precipitation patterns can affect plant growth and their ability to absorb CO2 through photosynthesis. Additionally, ocean acidification due to increased CO2 dissolution can harm marine ecosystems and reduce their capacity to absorb carbon dioxide.
In conclusion, relying solely on the natural CO2 cycle to lower carbon-dioxide levels is not viable because the system is overwhelmed by anthropogenic emissions, and climate change impacts can further compromise its efficiency. To effectively address this issue, it is essential to reduce human-induced CO2 emissions and explore additional carbon removal technologies.

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Answer:

The outline of the energy transfer are;

a) Kinetic energy → Clockwork spring → Potential energy

b) Potential energy in clockwork car → Clockwork spring coil unwound → Clockwork car run

c) Chemical potential energy → Batteries in the car → Electric motors → Kinetic energy

Please find attached the drawings of the energy transfer created with MS Visio

Explanation:

The energy transfer diagrams are diagrams that can be used to indicate the part of a system where energy is stored and the form and location to which the energy is transferred

a) The energy transfer diagram for the winding up a clockwork car is given as follows;

Mechanical kinetic energy is used to wind up (turn) the clockwork car such that the kinetic energy is transformed into potential energy and stored in the wound up clockwork as follows;

Kinetic energy → Clockwork spring → Potential energy

b) Letting a wound up clockwork car run results in the conversion of mechanical potential energy into kinetic (energy due tom motion) energy as follows;

Potential energy in clockwork car → Clockwork spring coil unwound → Clockwork car run

c) The energy stored in the battery of a battery powered car is chemical potential energy. When the battery powered car runs, the chemical potential energy produces an electromotive force which is converted into kinetic energy as electric current flows from the batteries

Therefore, we have;

Chemical potential energy → Batteries in the car → Electric motors → Kinetic energy

Answer:

Huhfgyyeyvvucvyehukfsdjbjz/////???

Potential difference, V = 5.56 V Distance, d = 4.57 × 10⁻³ m Charge of proton, q = 1.6 × 10⁻¹⁹ C Kinetic energy is given as, KE = work done by electric field Initial velocity of proton, u = 0

potential difference is given by; V = W / q From this, we can calculate the work done as; W = q V, work done by electric field to move the proton from positive plate to negative plate through potential difference V is given as: W = q V = (1.6 × 10⁻¹⁹ C) (5.56 V)W = 8.96 × 10⁻¹⁸ J, work done is equal to kinetic energy; KE = WKE = 8.96 × 10⁻¹⁸ J. The kinetic energy of the proton as it reaches the negative plate is 8.96 × 10⁻¹⁸ J.

Conclusion: The kinetic energy of the proton as it reaches the negative plate is 8.96 × 10⁻¹⁸ J. This question was solved by calculating the work done by electric field to move the proton from positive plate to negative plate through potential difference V.

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Answer: To find the coefficient of static friction:

Frictional force needed to start the book sliding:

f_s = F_applied = 5.0 N

The maximum force of static friction can be found using:

f_s,max = μ_s N

where N is the normal force between the book and the table.

To find N, we need to consider the forces acting on the book:

The force of gravity acting downwards (weight)

The normal force from the table acting upwards

Since the book is not accelerating vertically, we can say:

N - mg = 0

N = mg

where m is the mass of the book, and g is the acceleration due to gravity.

So, N = (1.0 kg + 100 kg) x 9.81 m/s^2 = 1089.9 N

Now we can find μ_s:

f_s,max = μ_s N

5.0 N = μ_s x 1089.9 N

μ_s = 0.0046

Therefore, the coefficient of static friction between the book and the table is 0.0046.

To find the coefficient of kinetic friction:

Frictional force needed to keep the book sliding at a constant velocity:

f_k = F_applied = 4.0 N

The force of kinetic friction is given by:

f_k = μ_k N

where N is the normal force, which we already found to be 1089.9 N.

So, μ_k = f_k / N

μ_k = 4.0 N / 1089.9 N

μ_k = 0.0037

Therefore, the coefficient of kinetic friction between the book and the table is 0.0037.

To find the distance the book slides before coming to rest:

When the teacher stops pushing the book, the only force acting on it is the force of kinetic friction, which acts to slow down the book. The book will eventually come to rest when its velocity is zero.

We can use the equation of motion:

v^2 = u^2 + 2as

where u is the initial velocity, v is the final velocity (which is zero), a is the acceleration (which is the same as the deceleration due to friction), and s is the distance travelled.

Rearranging the equation, we get:

s = (v^2 - u^2) / 2a

Substituting the given values:

u = 0.30 m/s (since the book is moving at a constant velocity before the teacher stops pushing it)

v = 0 m/s (since the book comes to rest)

a = - μ_k g (since the force of friction acts in the opposite direction to the book's motion)

a = - 0.0037 x 9.81 m/s^2 = -0.0363 m/s^2

Plugging in the values, we get:

s = (0 - (0.30 m/s)^2) / (2 x (-0.0363 m/s^2))

s = 0.41 m

Therefore, the book slides 0.41 meters before coming to rest.

Explanation:

The power that will be produced by such a force is 12 times the initial power.

Power can be defined as the time rate of doing work. Also power can be defined as the energy expended per unit time.

Mathematically, the formula for power expended by an object is given as;

p = E / t

where;

p = w / t

where;

When a force does six times as much work in half as much time, the power becomes;

p' = (6w) / (¹/₂t)

p' = (2 x 6w) / t

p' = 12w/t

p' = 12 (p)

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The complete question is below:

a force produces power p by doing work w in a time t what power will be produced by a force that does six times as much work in half as much time?

Given what we know, we can confirm that genetic material is not known to absorb light originating from an infrared or microwave radio source.

Therefore, given that the only form of light listed that genetic material is known to absorb is that of Ultraviolet or UV light, we can confirm that the answer to the question proposed is infrared and microwave radio light.

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A nozzle with an area of 0.3 cm² is attached to a garden hose with an area of 1.8 cm². The flow rate through the nozzle is 0.18 l/s and the flow rate through the garden hose is 0.108* 10⁻³m³/s.

We know that the equation of continuity as Q = A*v

From the above equation, the relation between flow rate and area can be written as Q₁A₂ = Q₂A₁

Given that, flow rate of the nozzle Q₁ = 0.18 l/s = 0.18*10⁻³ m³/s

flow rate of the garden hose Q₂ = ?

area of the nozzle A₁ = 0.3 cm² = 0.3*10⁻⁴ m²

area of the garden hose A₂ = 1.8 cm² = 1.8* 10⁻⁴ m²

Substitute the values in the above equation,

0.18* 10⁻⁴* 0.18*10⁻³ = 0.3*10⁻⁴* Q₂

0.18* 0.18* 10⁻³ = 0.3*Q₂

Q₂ = 0.108* 10⁻³m³/s

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The temperature change of the paint as it is stirred for 5.00 min can be found using the equation ΔT = (Q / mc) x t.

1. We are given the internal energy increase of the paint, which is 12.3 kJ. We need to convert this to joules by multiplying it by 1000, since 1 kJ is equal to 1000 J. So, Q = 12.3 kJ x 1000 = 12,300 J.

2. The power output of the paddle stirrer is given as 488.0 W. We can use the equation P = ΔU / t, where P is the power, ΔU is the change in internal energy, and t is the time. Rearranging the equation, we can find ΔU = P x t. Substituting the given values, we get ΔU = 488.0 W x 5.00 min x 60 s/min = 146,400 J.

3. The change in internal energy, ΔU, is equal to the heat transfer, Q, in an isolated system where there is no heat flow with the surroundings. So, ΔU = Q. We can now substitute the values into the equation ΔT = (Q / mc) x t. Rearranging the equation, we get ΔT = ΔU / (mc). Substituting the known values, we get ΔT = 146,400 J / (m x c).

Note: To calculate the temperature change, we would need the mass of the paint and the specific heat capacity of the paint, which are not provided in the given information.

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A ball was thrown horizontally from a height of 32 m. The initial speed needed for the ball to land at the target that is 40 m away is: 28.08 m/s

To land a ball at a target situated 40 meters away, you need to find out the initial speed required for the ball thrown horizontally from a height of 32 m. Let's calculate this speed.

The horizontal distance traveled by an object when it is thrown horizontally from a height h is given by:d = (v² sin 2θ) / g

Here, v is the initial velocity, θ is the angle at which the object is thrown, and g is the acceleration due to gravity.

Since the ball is thrown horizontally, θ = 0 degrees, and sin 2θ = sin 0 = 0. The formula becomes:

d = (v² x 0) / gd = 0

If you are thrown from a height of 32 m and want to land 40 m away, the vertical distance you travel must be 32 m. We'll use this to find out the initial velocity required for the ball to land at a distance of 40 m. Hence, by using the formula for the vertical motion:

v = √(2gh) = √(2 * 9.8 * 32) = 28.08 m/s

Therefore, the initial speed required for the ball to land at a target situated 40 m away is 28.08 m/s.

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Answer:

Light is made up of different wavelengths, or colors, and white light is a combination of all of them. When a ray of white sunlight hits a patch of beach ball, the paint absorbs most of the wavelengths. It reflects the rest. For example, if the patch is blue, it reflects the blue wavelengths and absorbs all the others.

We see different wavelengths of light as different colors because they are associated to different wavelength, which activates different cells in the retina.

The angular acceleration of the pulley can be determined by considering the forces acting on the system and the moment of inertia of the pulley. Based on the task, the angular acceleration of the pulley is 2.45 rad/\(s^{2}\).

The angular acceleration of the pulley can be determined by considering the forces acting on the system and the moment of inertia of the pulley. The net force acting on the system is given by the weight of the hanging mass, which creates a tension in the rope that is transferred to the pulley. The tension in the rope produces a torque on the pulley, given by:

The tension in the rope produces a torque on the pulley, given by:

τ = T * r

where,

T = the tension in the rope

r = the radius of the pulley.

The net torque on the pulley can be used to determine its angular acceleration, given by:

α = τ / I

where,

I is the moment of inertia of the pulley, given by:

I = (1/2) * m * \(r^{2}\) + m * \(r^{2}\)

where m is the mass of the pulley.

Substituting the values, we get:

α = (T * r) / ((1/2) * m *  \(r^{2}\) + m *  \(r^{2}\))

= (5 * 9.8 * 0.5) / ((1/2) * 20 * \(0.5^{2}\) + 20 * \(0.5^{2}\))

= 49 / 20

= 2.45 rad/\(s^{2}\)

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In most aircraft, the center of thrust and the center of drag are typically aligned along the longitudinal axis of the aircraft.

The center of thrust refers to the point on an aircraft where the net thrust force acts. It is usually associated with the engines or propulsion system of the aircraft.

The center of drag, on the other hand, is the point where the aerodynamic drag force acts. It is determined by the shape, size, and distribution of surfaces causing drag, such as wings, fuselage, and control surfaces.

In most aircraft designs, the center of thrust and the center of drag are aligned along the longitudinal axis of the aircraft. This alignment ensures that the thrust force generated by the engines counters the drag force acting on the aircraft.

By having the center of thrust and the center of drag aligned, the aircraft achieves a state of equilibrium, where the moments created by thrust and drag cancel each other out, resulting in a stable flight condition.

This alignment is crucial for maintaining stability and control during flight. Any deviation or imbalance between the center of thrust and the center of drag can lead to undesirable effects, such as changes in pitch or yaw, which may require additional control inputs to maintain stability.

Therefore, aircraft designers strive to achieve proper alignment of the center of thrust and the center of drag to ensure optimal flight characteristics and performance.

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Explanation:

The terms involved in S = ut + 1/2at²

S = displacement

u = initial velocity

a = acceleration

t = time.

Hope it will help :)

Answer:

the distance traveled or displacement (s) of an object using its initial velocity (u), acceleration (a), and time (t) traveled.

Answer:

Electric Fuse is based on the principle of the heating effect of Electric current.

Explanation:

The electric fuse is based on the principle of heating due to electric current. As current flows through the wire, heat is produced. As a result of excessive current flow, heat is generated, melting the Fuse, which normally has a low melting point, preventing any damage to an electric circuit and appliances. (I'm sorry if I'm wrong but I think that's it.)

The increase in the reading on the balance as Magnet 2 was lowered towards Magnet 1 was due to the interaction between the magnetic fields of the two magnets and the orientation of their magnetic poles, leading to an increase in the overall magnetic field strength.

When Magnet 2 was lowered towards Magnet 1, the reading on the balance increased because of the interaction between the magnetic fields of the two magnets.

Magnet 1, with its North pole facing upwards, creates a magnetic field with lines of force flowing out of the North pole and into the South pole. This creates a magnetic field that is stronger near the North pole and weaker near the South pole.

When Magnet 2 was brought near Magnet 1, the magnetic field of Magnet 2 interacts with the magnetic field of Magnet 1.

If the North pole of Magnet 2 is facing the South pole of Magnet 1, the magnetic fields of the two magnets will reinforce each other, leading to an increase in the overall magnetic field strength.

This increase in magnetic field strength can be detected by the balance, causing the reading to increase.

It's important to note that the orientation of the magnetic poles and the direction of the magnetic field lines play a crucial role in the magnetic field interactions between two magnets.

If the North pole of Magnet 2 was facing the North pole of Magnet 1, the magnetic fields would repel each other, causing the reading on the balance to decrease.

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Answer:

load (l)=400N

Effort(E)=50N

mechanical advantage (MA)= load ÷Effort

(ma)=400÷50

(ma)=8

Explanation:

I copy pasted from the answer from the same question. Remember to first check if ur question is there

Answer: An electric current is a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space.

Explanation: The parts of a circut bit can easily be found online, but heres a pic i found.

B. Piron > Pwater > Pwax

Wax normally floats in water,it is less dense than water.

Iron is more dense than water, so it sinks.

Answer:

B.    P iron >  P water > P wax

They are maintaining their body temperature by cooling down, like dogs do, as they don't have enough sweat glands to keep them cool without panting.

Brown bears maintain body temperature by cooling as a result of panting. So, the correct option is D.

Normal human body-temperature is defined as the typical temperature range found in humans which is commonly referred to as 36.5–37.5 °C. The human body temperature varies. Temperature is known as the degree of hotness or coldness of an area or object.

When we are very hot, the blood vessels of the skin dilate to carry the excess heat to the surface of the skin. Brown bear panting ensures that cool air circulates over the moist surfaces in the mouth which helps maintain body temperature by cooling the body.

Therefore, the correct option is D.

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The picture of free body diagram drawn below:

A free-body diagram (FBD; sometimes known as a force diagram) is a graphical representation used in physics and engineering to illustrate the applied forces, moments, and consequent reactions on a body under a particular state.

The object of interest, the forces acting on it, and the resolution of each force vector into its x- and y-components are all shown in a free-body diagram. Each item in the issue requires a distinct free-body diagram.

Forces are depicted as arrows heading away from the object, which is depicted as a dot. Occasionally known as force diagrams.

The picture of free body diagram drawn below:

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The complete question is as follows:

When the laser is moved downward between the 60 angle and the surface of the less dense medium below, the light undergoes refraction.

Refraction is the bending of light as it passes from one medium to another, such as from air to water or from air to glass. The amount of bending that occurs depends on the angle at which the light hits the surface and the difference in density between the two mediums.

In this case, the laser is passing from a more dense medium (air) to a less dense medium (the surface below), so the light will bend away from the normal (a line perpendicular to the surface) as it enters the less dense medium.

The amount of bending will be determined by the angle of incidence (the angle at which the light hits the surface) and the refractive index of the less dense medium.

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Answer:

hydrogen bonds

Explanation:

hope it helps

The correct answer is Option (A). A small solar system body.

Asteroids are small, rocky objects that orbit the Sun. Although asteroids orbit the Sun like planets, they are much smaller than planets.

There are lots of asteroids in our solar system. Most of them live in the main asteroid belt—a region between the orbits of Mars and Jupiter.

An asteroid, comet, or other object that orbits the Sun but is too small to be classified as a planet or dwarf planet is referred to as a small solar system body. These objects are typically rocky or icy remnants from the early formation of the solar system and can range in size from tiny grains to larger objects several hundred kilometers in diameter. They are distinct from space junk, which refers to human-made debris in space, and planetesimals, which are larger objects that can potentially form planets through accretion. Satellites, on the other hand, are objects that orbit around a larger celestial body, such as a planet or dwarf planet.

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Answer:

smoke particles move in brownian motion (zig -zag motion ) .

Explanation:

this is because air molecules collide against smoke particles hence they attain kinetic energy which keeps them in continuous motion .

The motion of the smoke particles is Brownian motion that is the zigzag motion of the particles that particles move in a random direction.

In chemistry, the term "Brownian Movement" refers to the random zigzagging motion of a particle that is typically seen under a high power ultra-microscope. The term "Brownian movement" refers to the exact motion of pollen grains in water, as described by Robert Brown.

More crucially, Albert Einstein eventually clarified the Brownian movement in his study by claiming that water molecules were responsible for moving the pollen. This discovery provided compelling proof that atoms and molecules exist.

According to the question, the reason is that air molecules collide against smoke particles, hence the particles get kinetic energy which keeps them in continuous motion or in zigzag motion.

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Free fall acceleration 9.8 m/s² means that when an object falls down due to gravity, its velocity increases by 9.8 m/s every second.

Free fall refers to the motion of an object due to the attractive force of the earth known as gravity only acting on the object.

When an object is experiencing free fall, the object experiences acceleration due to gravity which has a constant value of 9.8 m/s².

This constant varies at several points on the earth's surface. The farther away an object is from the earth's surface, the lower the value of the free fall acceleration or acceleration due to gravity will be.

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Answer:

b

Explanation:

i know

Answer:

b one will not accelerate