The flywheel rotates with an angular velocity of omega = (0.00502) rad/s, where theta is in radians. Determine the angular acceleration when it has rotated 20

Answers

Answer 1

The angular acceleration of the flywheel when it has rotated 20 radians is not provided in the question.

To determine the angular acceleration, we need more information or an equation that relates the angular velocity (ω) and the angular acceleration (α). Without additional information, we cannot calculate the angular acceleration directly.

However, if we assume that the angular acceleration is constant, we can use the following equation:

ω = ω₀ + αt,

where

ω is the final angular velocity,

ω₀ is the initial angular velocity,

α is the angular acceleration,

and t is the time taken.

Since the initial angular velocity (ω₀) is not given in the question, we cannot proceed with this equation.

Without further information or equations relating the angular velocity and angular acceleration, it is not possible to determine the angular acceleration when the flywheel has rotated 20 radians.

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Related Questions

The current in a light bulb is 0. 835A. How long does it take for a total charge of 1. 67 C to pass a point in the wire

Answers

It takes 2 seconds for the charge to pass a point in the wire. The result is obtained by using the formula for an electric current equation.

What is electric current?

Electric current is a flow of charged particles per unit of time. It can be expressed as

I = Q/t

Where

I = electric current (A)Q = charge (C)t = time (s)

A light bulb has

Electric current, I = 0.835 A.Total charge, Q = 1.67 C.

Find the time taken!

We use the formula above to find t.

I = Q/t

0.835 = 1.67/t

t = 1.67/0.835

t = 2 s

Hence, the time needed to for the charge to pass a point in the wire is 2 seconds.

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A mixture with one phase is called___.

Answers

Pure substance or homogeneous mixture

Answer:

Explanation:

By definition, a pure substance or a homogeneous mixture consists of a single phase. A heterogeneous mixture consists of two or more phases.

An object placed 23.0 cm in front of a convex mirror produces an image that is one-third the size of the object. What is the focal length of the mirror?(include the proper algebraic sign to reflect the nature of the mirror)

Answers

The focal length of the convex mirror is -46.0 cm (negative sign indicating a converging mirror).

To find the focal length of a convex mirror, we can use the mirror formula:

1/f = 1/v - 1/u

where f is the focal length, v is the image distance, and u is the object distance.

Given that the object is placed 23.0 cm in front of the convex mirror, we have u = -23.0 cm (negative sign indicating that the object is on the same side as the incident light).

Let's assume the image distance v is positive since the image is formed on the opposite side of the mirror. We are told that the image is one-third the size of the object. In terms of magnification (m), we have:

m = -v/u = -1/3

Substituting the values into the mirror formula and the magnification formula, we get:

1/f = 1/v - 1/u

-1/3 = -v/23.0 - 1/-23.0

Simplifying the equation, we get:

-1/3 = (-v + 1)/23.0

Cross-multiplying and solving for v, we find:

-v + 1 = -69.0

v = 70.0 cm

Substituting the value of v back into the mirror formula, we can solve for f:

1/f = 1/70.0 + 1/-23.0

1/f = -1/46.0

f = -46.0 cm

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I NEED HELP :) ty.............

I NEED HELP :) ty.............

Answers

Answer:

The answer to your question is given below

Explanation:

From the question given above, we can see that the wave with a higher frequency has a shorter wavelength while that with a lower frequency has a longer wavelength. This is so because the frequency and wavelength of a wave has inverse relationship. This can further be explained by using the following formula:

Velocity = wavelength x frequency

Divide both side by wavelength

Frequency = Velocity /wavelength

Keeping the velocity constant, we have:

Frequency ∝ 1 / wavelength

From the above illustration, we can see clearly that the frequency and wavelength are in inverse relationship. This implies that the higher the frequency, the shorter the wavelength and the shorter the frequency, the higher the wavelength.

Why does a balloon shrink in cold water?

Answers

Answer:

The balloon shrank because the average kinetic energy of the gas molecules in a balloon decreases when the temperature decreases. This makes the molecules move more slowly and have less frequent and weaker collisions with the inside wall of the balloon, which causes the balloon to shrink a little.

Explanation:

Not only does it shrink in cold water but it shrinks in the cold itself.

Hope this helps!!

If an object travels 100 m in 5 seconds, how fast is it going on average?

Answers

Answer:

  20 m/s

Explanation:

The relevant relationship is ...

  speed = distance/time

  speed = (100 m)/(5 s) = (100/5) m/s

  speed = 20 m/s

The average speed is 20 meters per second.


A boy of mass 60 kg, and his sister of mass 49 kg,
play on a see-saw pivoted at its centre. If the boy sits
2.7 metres from the pivot of the see-saw, calculate
the distance from the other side of the pivot the girl
must sit to make the see-saw balanced.

Answers

Answer:

3.18 meters

Explanation:

Definition of Work

Work = force * displacement

\(Work =fd\)

In this case the force would be the weight.

Definition of Weight

Weight = mass * gravity

\(W=mg\)

If the see-saw is balanced the forces on each side must be equal.

\(w_1*d_1=w_2*d_2\)

\(m_1*g*d_1=m_2*g*d_2\)

\(60*9.81*2.7=49*9.81*d_2\)

\(1589.22=49*9.81*d_2\)

\(1589.22=480.69d_2\)

\(\frac{1589.22}{480.6} =\frac{480.6}{480.6} d_2\)

\(3.18130187=d_2\)

What pressure would the butane gas sample have at 120.0 mL?

Answers

The pressure of the butane gas sample at 120.0 mL can be determined by using the ideal gas law equation, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.

To find the pressure of the butane gas sample at 120.0 mL, we need additional information such as the number of moles and the temperature of the gas. Once we have these values, we can use the ideal gas law equation, PV = nRT, to calculate the pressure.

1. Determine the values: Gather the known values for the problem, such as the volume (V = 120.0 mL) and any other given information, such as the number of moles (n) and the temperature (T).

2. Convert the volume: If necessary, convert the volume to the appropriate unit for the ideal gas law equation. The ideal gas law typically requires volume to be in liters, so if the given volume is in milliliters, divide it by 1000 to convert to liters.

3. Plug in the values: Substitute the known values into the ideal gas law equation, PV = nRT. Make sure to use consistent units for all the variables.

4. Solve for pressure: Rearrange the equation to solve for pressure (P). Divide both sides of the equation by the volume (V) to isolate pressure: P = (nRT) / V.

5. Calculate the pressure: Substitute the known values into the equation and perform the necessary calculations to find the pressure of the butane gas sample at 120.0 mL.

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a car accelerates from 30 mi/hr to 60 mi/hr. how many times greater is the car's kinetic energy at the higher speed compared to the kinetic energy at the slower speed?

Answers

The car's kinetic energy is 4 times greater at the higher speed

If a car accelerates from 30 mi/hr to 60 mi/hr, the car's kinetic energy at the higher speed is 4 times greater than the kinetic energy at the slower speed.

The kinetic energy of a moving object is given by the equation KE = 1/2mv², where m is the mass of the object and v is its velocity. Since the mass of the car is constant, we can compare the kinetic energy at the two different speeds using only the velocity values.

At the slower speed of 30 mi/hr, the car's kinetic energy is KE1 = 1/2mv1². At the higher speed of 60 mi/hr, the car's kinetic energy is KE2 = 1/2mv2².

To find out how many times greater the car's kinetic energy is at the higher speed compared to the lower speed, we can take the ratio of KE2 to KE1:

KE2/KE1 = (1/2mv2²)/(1/2mv1²)

We can simplify this expression by canceling out the 1/2 and m terms:

KE2/KE1 = v2²/v1²

Substituting the given values, we get:

KE2/KE1 = (60 mi/hr)²/(30 mi/hr)²

Simplifying this expression gives us:

KE2/KE1 = 4

Therefore, the car's kinetic energy at the higher speed is 4 times greater than the kinetic energy at the slower speed.

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what is the minimum angle in degrees such that the light will not reach the air on the other side. of the glass

Answers

Answer:

Any angle of incidence that is greater than 48.6 degrees would not result in refraction.

Explanation:

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A uniform bar has two small balls glued to its ends. The bar is 2.00 m long and has mass 9.00 kg , while the balls each have mass 0.300 kg and can be treated as point masses. **express all answers with proper units**
(a) Find the moment of inertia of this combination about an axis perpendicular to the bar through its center.
(b) Find the moment of inertia of this combination about an axis perpendicular to the bar through one of the balls.
(c) Find the moment of inertia of this combination about an axis parallel to the bar through both balls.
(d) Find the moment of inertia of this combination about an axis parallel to the bar and0.500 m from it.

Answers

(a) The moment of inertia of the combination about an axis perpendicular to the bar through its center is 0.054 kg·m².

(b) The moment of inertia of the combination about an axis perpendicular to the bar through one of the balls is 0.024 kg·m².

(c) The moment of inertia of the combination about an axis parallel to the bar through both balls is 0.348 kg·m².

(d) The moment of inertia of the combination about an axis parallel to the bar and 0.500 m from it is 0.087 kg·m².

What are the moment of inertia values for a bar with two balls attached at the ends?

The moment of inertia measures the resistance of an object to changes in its rotational motion. For the given combination of a uniform bar with two small balls, the moment of inertia is calculated differently depending on the axis of rotation.

(a) When the axis of rotation is perpendicular to the bar and passes through its center, the moment of inertia is 0.054 kg·m². This can be determined by considering the bar as a continuous object and applying the formula for the moment of inertia of a slender rod.

(b) If the axis of rotation is perpendicular to the bar but passes through one of the balls, the moment of inertia is 0.024 kg·m². In this case, the moment of inertia of the bar is considered along with the additional moment of inertia contributed by the two balls, which can be treated as point masses.

(c) When the axis of rotation is parallel to the bar and passes through both balls, the moment of inertia is 0.348 kg·m². This can be obtained by considering the individual moments of inertia of the bar and the two balls and summing them up according to the parallel axis theorem.

(d) If the axis of rotation is parallel to the bar and positioned at a distance of 0.500 m from it, the moment of inertia is 0.087 kg·m². This calculation incorporates the parallel axis theorem again, taking into account the increased distance from the axis of rotation.

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how do plants get energy

Answers

Explanation:

They get energy by taking water and minerals from the ground by root and take CO2 by leaves.They get energy by absorbing sunlight and use in the process of photosynthesis

What is mass formula?

Answers

Answer:

The mass formula is given as

Mass = ρ × v

Where,

ρ = density and

v = the volume

The weight mass formula is given as

m = w / g

Where,

w= weight

m = mass

g = gravity

The mass formula is also given as

m = F / a

If acceleration itself is the gravity, then

M = F / g

Where,

F = force

G = gravity

According to Einstein’s mass-energy relation

m = (E / c2)

Where,

m = mass

E = energy

c = speed of light (3×108 m/s)

The kinetic energy mass formula is given as

K.E = ½ mv2

Where,

m = mass,

v = velocity.

Explanation:

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The molar mass (M) is a physical property and it is defined as the mass of one mole of the chemical substance or it is a ratio of the mass of a chemical compound to its amount of chemical substance. The unit of molar mass is kg/mol. The mass formula is given as. Mass = ρ × v.

A ball rolls off a level table with a speed of 2.2 m/s. The table is 1.2 meters high. How far away from the base of the table does the ball land?

Answers

The base of table is "1.08856 m" far away from the ball land.

Given:

Distance travelled by ball,

S = 1.2 m

Initial velocity,

u = 0 m/s

Acceleration,

a = 9.8 m/s²

Constant speed,

2.2 m/s

As we know the formula,

→ \(S = ut+\frac{1}{2}at^2\)

By substituting the values, we get

→ \(1.2=\frac{1}{2}\times 9.8t^2\)

→ \(1.2 = 4.9 t^2\)

→    \(t = \sqrt{\frac{1.2}{4.9} }\)

→      \(= 0.4948 \ seconds\)

Let,

Horizontal distance will be "x".Time = t

→ \(x = 2.2\times t\)

     \(= 2.2\times 0.4948\)

     \(= 1.08856 \ m\)

Thus the solution above is right.

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Increasing the distance between an electromagnet and the compass will cause the observed effect of the compass to _____.

Answers

Increasing the distance between an electromagnet and the compass will cause the observed effect of the compass to decrease in strength

What would the Increasing the distance between an electromagnet and the compass cause?


The strength of the magnetic field produced by an electromagnet decreases as the distance from the electromagnet increases. This means that if the distance between the electromagnet and the compass increases, the magnetic field that the compass is experiencing will weaken.

As a result, the observed effect of the compass will decrease in strength as the distance between the electromagnet and the compass increases.

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Which of the following shows a change in velocity? Group of answer choices Wendy is riding her bike in a circle in the parking lot. Amber is sitting on a park bench. Ken is driving on Interstate 4 at 65 mph. Jessica is walking her dog along Chestnut Avenue.

Answers

Wendy riding her bike in a circle in the parking lot is a change in direction, but her speed is constant, so her velocity is not changing. Amber sitting on a park bench and Jessica walking her dog along Chestnut Avenue are both stationary, so there is no change in velocity.

What is Velocity?

It is defined as the change in position of an object over a unit of time, usually measured in meters per second (m/s) or kilometers per hour (km/h), in a specific direction.

In physics, velocity is distinguished from speed, which is the magnitude of an object's velocity but without regard to its direction. Velocity is a more precise term than speed because it includes both magnitude and direction. For example, a car traveling at 60 km/h east has a different velocity than a car traveling at 60 km/h west.

Velocity is a fundamental concept in many areas of physics, including mechanics, thermodynamics, and electromagnetism. It is used to describe the motion of objects ranging from subatomic particles to celestial bodies in the universe.

The only option that shows a change in velocity is Ken driving on Interstate 4 at 65 mph. This is because velocity is a vector quantity that includes both speed and direction. As Ken is driving, he is changing his direction or speed, or both, which means his velocity is changing.

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The most successful types of plants on Earth are

Answers

angiosperm! make up around 90%of all plants species

Answer:

The angiosperms dominate Earth's surface and vegetation in more environments, particularly terrestrial habitats, than any other group of plants. As a result, angiosperms are the most important ultimate source of food for birds and mammals, including humans.

Explanation:

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What did aristotle and ptolemy say about the relationship of earth to other celestial bodies?.

Answers

Aristotle and Ptolemy said that earth is in the center and all other planets move in a circular motion around Earth.

Aristotle from Classic Greece and Ptolemy from Roman Egypt agreed on three facts:

Earth and other celestial bodies are spherical in shape.Earth is in the center and all other celestial bodies revolve around it.The other planets orbit in a circular path.

This model of the solar system with Earth in the center is called as Geocentric model.

Therefore, Aristotle and Ptolemy said that earth is in the center and all other planets move in a circular motion around Earth.

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Which is a property of every heterogeneous mixture?

a.the mixture is made up of at least two different states.
b.the mixture is made up of something dissolved in a liquid.
c.the composition of the mixture is the same throughout.
d.the characteristics of the mixture change within a sample.

hana fills a cup with sandy ocean water. she pours the mixture through a filter. what does she collect that passes through the filter?

a.a sample of pure water
b.a solution of salt in water
c.a suspension of sand in water
d.a colloid of salt in water

which describe colloids? check all that apply.

1.heterogeneous mixtures
2.homogeneous mixtures
3.may have a uniform appearance
4.are made up of at least two substances
5.will settle out over time

when mixed, which states of matter form only a homogeneous mixture?

a.two liquids
b.two gases
c.a solid and

Answers

Answer: C for all of them

Explanation:

Because I'm smart

Jk

So basically its beacuse all of them have the same mixture since science can be interrelated and interchangebale in terms of formulas ok bye now

Thanks

Hope this helped you

Or not

Sorry if it didn't ig

Which of the following would produce the most power?

a
A mass of 5 kilograms lifted 5 meters in 10 seconds
b
A mass of 5 kilograms lifted 10 meters in 5 seconds
c
A mass of 10 kilograms lifted 10 meters in 5 seconds
d
A mass of 10 kilograms lifted 10 meters in 10 seconds

Answers

Answer:

A

Explanation:

The answer option which would produce the most power is: C. A mass of 10 kilograms lifted 10 meters in 5 seconds

Power can be defined as the capacity to do work.

Mathematically, power is given by the formula;

\(Power = \frac{Work \; done}{time} \\\\But, \;Work \; done = mgh\\\\Power = \frac{mgh}{time}\)

Where:

m is the mass of object. g is the acceleration due to gravity. h is the height of an object.

Note: Acceleration due to gravity is equal to 10 \(m/s^2\).

For option A:

\(Work\; done = 5(10)(5)\)

Work done = 250 Joules

\(Power = \frac{250}{10}\)

Power = 25 Watts.

For option B:

\(Work\; done = 5(10)(10)\)

Work done = 500 Joules

\(Power = \frac{500}{10}\)

Power = 50 Watts.

For option C:

\(Work\; done = 10(10)(10)\)

Work done = 1,00 Joules

\(Power = \frac{1000}{5}\)

Power = 200 Watts.

For option D:

\(Work\; done = 10(10)(10)\)

Work done = 1,00 Joules

\(Power = \frac{1000}{10}\)

Power = 100 Watts.

Therefore, a mass of 10 kilograms lifted 10 meters in 5 seconds would produce the most power.

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a rigid , massless rod of length l, has a point paricle of mass m located at one of its endpoints. the system can freely rotate about a pivot point located at another end where gravity is considered. find the hamiltonian

Answers

The Hamiltonian of massless rod which has a point paricle at one of its ends, is Acos(ω0 t) + Bsin(ω0 t).

How to find Hamiltonian ?

The Hamiltonian of a system in quantum mechanics is an operator that corresponds to the system's total energy, which includes both kinetic energy and potential energy.

It may be demonstrated that H = T + V, where T is the kinetic energy and V is the potential energy of the system—i.e., the Hamiltonian is equal to the total energy of the system—if the constraints in the issue do not depend explicitly on time.

Choose a coordinate system such that kˆ is pointing upwards

then the angular acceleration is given by

α = d^2 *θ /dt^2 * k

The torque about the center of mass is given in the statement of the problem as a restoring torque, therefore

τcm = −bθ kˆ .

The z-component of the rotational equation of motion is

−bθ = Icm * d^2 *θ / dt^2 .

This is a simple harmonic oscillator equation with solution is

θ(t) = Acos(ω0 t) + Bsin(ω0 t)

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A certain radioactive isotope has a half-life of approximately 1150 years. How
many years would be required for a given amount of this isotope to decay to
25% of that amount?

Answers

If the isotope has a half-life of 1150 years, this means that every 1150 years the amount of the isotope is halved. After one half-life, the amount is reduced to 1/2, after two half-lives it is reduced to 1/4, after three half-lives it is reduced to 1/8, and so on.

To determine how many years are required for the isotope to decay to 25% of its original amount, we need to determine how many half-lives it takes to get from 100% to 25%.

25% is the same as 1/4, so we need to determine how many times we need to halve the original amount to get to 1/4.

1/4 = (1/2)^n, where n is the number of half-lives

Solving for n:

n = log(1/4) / log(1/2)

n = 2

This means that it takes two half-lives for the isotope to decay to 25% of its original amount.

Since the half-life is approximately 1150 years, the time required for two half-lives is approximately:

2 x 1150 years = 2300 years

Therefore, it would take approximately 2300 years for a given amount of this isotope to decay to 25% of that amount.

The amount of a radioactive isotope remaining after a certain amount of time can be modeled by the exponential decay equation:

N(t) = N0 * (1/2)^(t/T)

where:
N0 = the initial amount of the isotope
N(t) = the amount of the isotope remaining after time t
T = the half-life of the isotope

To find the time required for a given amount of the isotope to decay to 25% of that amount, we can set N(t) equal to 0.25N0 and solve for t:

0.25N0 = N0 * (1/2)^(t/T)

Taking the natural logarithm of both sides and solving for t, we get:

t = (ln 0.25) * T / (ln 2)

Substituting T = 1150 years, we get:

t = (ln 0.25) * 1150 / (ln 2) ≈ 287.5 years

Therefore, it would take approximately 287.5 years for a given amount of this isotope to decay to 25% of that amount.

Question 3 Advanced Signal Integrity (20pts) - Sketch and describe the "lonely pulse" waveform - Describe a solution to this particular problem and sketch the resulting waveform - Sketch a simple way it can be implemented for a differential signaling system like the one discussed in class

Answers

Waveform shaping is a solution that involves adding a pre-distortion filter to the transmitter circuit. The resulting waveform is narrower and more accurate. For differential signaling systems, pre-emphasis and de-emphasis filters can be used.

The "lonely pulse" waveform is a signal integrity issue caused by reflections and interference in digital communication systems. The waveform appears as a single pulse that is wider and distorted compared to the original pulse.

To solve this problem, waveform shaping can be used, which involves adding a pre-distortion filter to the transmitter circuit. This filter modifies the pulse shape to compensate for the distortion during transmission, resulting in a more accurate pulse shape at the receiver. The resulting waveform is narrower, more accurate, and has reduced overshoot and undershoot.

For a differential signaling system, the technique can be implemented using pre-emphasis and de-emphasis filters at the transmitter and receiver, respectively. The implementation is simple and requires only passive components, such as resistors and capacitors. This technique compensates for frequency-dependent attenuation and distortion and results in a more accurate pulse shape at the receiver.

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An average skater averages 11 m/s over the first 5 seconds of a race. find the average speed required over next 10 seconds to average 12 m/s overall. ​

Answers

Answer:

usa

Explanation:

a force of 5N and 3N are simultaneously exerted on an object .The direction of the forces can be altered at will.When will these forces have their greatest resultant?​

Answers

Answer:

When the both the forces are acting in the same direction

Explanation:

Answer:

The resultant of these two forces will be the greatest when the two forces are in the same direction.

Explanation:

Let \(F_1\) and \(F_2\) denote these two forces. The resultant of these two force would be the vector sum \((F_1 + F_2)\).

Refer to the diagram attached. Join the head of \(F_1\) to the tail of \(F_2\). Under this construction, the vector connecting the tail of \(F_1\!\) to the head of \(F_2\!\) (the vector shown with a lighter color) would represent the resultant vector \((F_1 + F_2)\).

Consider the triangle inequality: as long as \(F_1\) and \(F_2\) (the first two sides of the triangle in the diagram) are not parallel to one another, the magnitude of the resultant vector would always be smaller than the sum of the magnitude of \(F_1\!\) and that of \(F_2\!\).

In other words: \(\| F_1 + F_2 \| < \| F_1 \| + \| F_2 \|\).

However, notice that when \(F_1\) and \(F_2\) are in the same direction, the three sides \(F_1\!\), \(F_2\!\), and \((F_1 + F_2)\) are in the same line and no longer form a triangle.

On the other hand, if \(F_1\) and \(F_2\) are opposite to one another, \(\| F_1 + F_2 \| = \| F_1 \| - \| F_2 \|\).

The magnitudes of the two forces, \(\| F_1 \| = 5\; \rm N\) and \(\| F_2 \|= 3\; \rm N\), are fixed. Hence, when the two forces are in the same direction, \(\| F_1 + F_2 \| = \| F_1 \| + \| F_2 \| =8\; \rm N\).

As long as \(F_1\) and \(F_2\) are not in the same line, the triangle inequality ensures that \(\| F_1 + F_2 \| < \| F_1 \| + \| F_2 \| =8\; \rm N\).

Hence, \(8 \rm \; N\) would be the greatest magnitude that the resultant force could achieve. That value is reached when the two forces are in the same direction.

a force of 5N and 3N are simultaneously exerted on an object .The direction of the forces can be altered

you toss a tennis ball straight upward. at the moment it leaves your hand it is at a height of 1.3 m above the ground, and it is moving at a speed of 8.2 m/s. (a) how much time does it take for the tennis ball to reach its maximum height?

Answers

The tennis ball takes approximately 0.582 seconds to reach its maximum height. The problem can be solved by putting the values of velocity, time and acceleration due to gravity in the formula of height.

To find the time it takes for the tennis ball to reach its maximum height, we can use the equation for vertical motion under constant acceleration, which is given by:

h = v0t - (1/2)gt^2

where h is the height, v0 is the initial velocity, t is the time, g is the acceleration due to gravity (9.8 m/s^2), and t is the time.

In this case, we know the initial height and velocity, so we can solve for the time it takes to reach the maximum height (when the velocity is equal to 0 m/s):

h = v0t - (1/2)gt^2

1.3 = 8.2t - (1/2)(9.8)(t^2)

Rearranging and solving for t, we get:

4.9t^2 - 8.2t + 1.3 = 0

t = 0.582 s

So it takes approximately 0.582 seconds for the tennis ball to reach its maximum height.

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an apple weighs 1.02 n . when you hang it from the end of a long spring of force constant 1.50 n/m and negligible mass, it bounces up and down in shm. if you stop the bouncing and let the apple swing from side to side through a small angle, the frequency of this simple pendulum is half the bounce frequency. (because the angle is small, the back and forth swings do not cause any appreciable change in the length of the spring.)

Answers

Answer: 2.67 m

Explanation:

k = Spring constant = 1.5 N/m

g = Acceleration due to gravity = 9.81 m/s²

l = Unstretched length

Frequency of SHM motion is given by

Frequency of pendulum is given by

Given in the question

The frequency of a simple pendulum made by hanging an apple from a long spring is half the bounce frequency.

Let the mass of the apple be m = 1.02 N, and the force constant of the spring be k = 1.50 N/m. When the apple is hanging from the spring, the restoring force on the apple is given by F = -kx, where x is the displacement from the equilibrium position.

According to Hooke's law, this force is directly proportional to the displacement and acts in the opposite direction. Therefore, the apple undergoes simple harmonic motion (SHM) with a period T = 2π√(m/k).

Now, when the apple is displaced and released from a small angle, it behaves as a simple pendulum. The period of a simple pendulum is given by T' = 2π√(l/g), where l is the length of the pendulum and g is the acceleration due to gravity.

Since the angle is small, the length of the spring does not change significantly, so we can assume that the length of the simple pendulum is the same as the unstretched length of the spring. Therefore, T' = 2π√(l/g) ≈ 2π√(k/mg), where g = 9.81 m/s² is the acceleration due to gravity.

The frequency of the bounce motion is given by f = 1/T, and the frequency of the pendulum motion is given by f' = 1/T'. From the above equations, we get:

f' = 1/T' = 1/(2π) √(mg/k) = 1/(2π) √(1.02*9.81/1.50) Hz

f = 1/T = 1/(2π) √(k/m) = 1/(2π) √(1.50/1.02) Hz

Therefore, the frequency of the simple pendulum is half the bounce frequency, as given in the problem statement.

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Calculate the force acting
on a body whose linear momentum changes by 10 kg m/s
in 5 seconds.

Answers

Answer:2n

Explanation:10/5=2

HELP ME PLEASE If an object is placed under a force of 20 N, it accelerates at a rate of 5 m/s^2. If the force is increased to 55 N, what is the new acceleration? a 13.75 kg b 7.25 kg c 21.10 kg d 5.65 kg

Answers

Answer:

b

Explanation:

Answer:13.75

Explanation:

the fm radio band covers the frequency range 88-108 mhz . part a if the variable capacitor in an fm receiver ranges from 12.4 pf to 18.7 pf , what inductor should be used to make an lc circuit whose resonant frequency spans the fm band?

Answers

To create an LC circuit whose resonance frequency spans the FM spectrum, an 187 nH inductor should be employed.

What frequency range is FM radio broadcasting on?

The frequency range for FM transmission in the USA is 88.0 MHz to 108.0 MHz. The band has 100 channels that are each 200 kHz (0.2 MHz) wide. The channel's lower end is 100 kHz away from the centre frequency, or half of the FM channel's bandwidth.

The radio communication spectrum is what?

Radio waves have the electromagnetic spectrum's longest wavelengths. The frequency range of these electromagnetic radiation waves is 3 kHz to 300 GHz.

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