) two 0.85-m-long pendulum hang side by side. the masses of the pendulum bobs are 75 g and 95 g. the lighter bob is pulled aside until its string is horizontal and is then released from rest. it swings down and collides elastically with the other bob at the bottom of its arc. to what height does each bob rebound? organize and plan

Answers

Answer 1

The height of each bob rebound is 0.66m.

What is height?

Height is the measurement of someone or something.

The velocity with which the 75g bob collides with the 95g bob is u = sqrt(2gl) = 4.12m/s Now th given collsion is headon and elastic therefore the  energy and linear momentum of both will be conserves and from the law of conservationists of linear momentum and laws of conservationists of energy we get for lighter (75g) bob

v1 = (m_1 -m_2 \over m_1 +m_2 )u_1 +( 2m_2 \over m_1 +m_2 )u_2

= 0.075-0.095

\over 0.075+ 0.095 ×4.12 + 0

= -0.485 m/s ( -ve sign shows that the bob will move in opp. dir. to its initial dir.)

and v2 = (m_2 -m_1 \over m_1 +m_2 )u_2 +( 2m_1 \over m_1 +m_2 )u_1 = 0 + 2×0.075 \over 0.075+ 0.095 × 4.12 = 3.63 m/s

as at max hieght both the bob will come to rest for a moment then applying v2 - u2 = 2as we get for bob of 95g 0 - 13.21 = -2×10h or h = 13.21/20 = 0.66m for bob height.

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Related Questions

A car has a speed of 10 m/s and a mass of 1500 kg. what is the momentum of the car ​

Answers

Answer:

p = 15 newts

Explanation:

p is momentum

also there's a calculator to answer these questions.

A motor transfers 12 kJ of energy in 30 s. Calculate its power.

Answers

Answer:

power=400Watt

Explanation:

work done =12kJ=12×10³=12000j

time taken=30s

power=?

as we know that

power=work done/time taken

power=12000J/30s

power=400Watt

i hope this will help you :)

ASAP
X 30% F1 = 700 1b N 5 F2 = 600 Ib
Part A If the coordinate direction angles for F3 = 680 lb are a = 110°, 3 = 45°, and y = 52°, determine the magnitude of the resultant force acting on the eyebolt

Answers

Given data: F1 = 700 lb, F2 = 600 lb, F3 = 680 lb Angle between F3 and x-axis = a = 110°Angle between F3 and y-axis = b = 52°Angle between F3 and z-axis = y = 45°

Now, let's resolve the forces along x, y and z directions: F1 = 700 lb, ∠N = 30% F2 = 600 Ib

Let's resolve force F1 into x, y, and z components: F1x = F1 cos N = 700 cos 30° = 606.217 lb

F1y = F1 sin N = 700 sin 30° = 350 lb

Let's resolve force F2 into x, y, and z components: F2x = 0 (Because F2 is directed along the y-axis)

F2y = F2 = 600 lb

F3x = F3 cos a = 680 cos 110° = -281.4 lb (negative because force is in the negative x-direction)

F3y = F3 cos y = 680 cos 52° = 449.3 lb

F3z = F3 cos b = 680 cos 45° = 481.6 lb

Magnitude of the resultant force:|F| = √(Fx² + Fy² + Fz²)Putting all the values in above formula: |F| = √((606.217 + 0 - 281.4)² + (350 + 600 + 449.3)² + (0 + 0 + 481.6)²)|F| = √(1222941.65)|F| = 1105.24 lb Hence, the magnitude of the resultant force acting on the eyebolt is 1105.24 lb.

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? Someone help I’m genuinely confused and stuck

? Someone help Im genuinely confused and stuck

Answers

A combining form for lungs is  "pneum/o".

What is combining form?

In medical terminology, a combining form is a word part that is added to the beginning or end of a root word to modify its meaning. The combining form "pneum/o" is used to refer to the lungs, air, or respiration.

Some common medical terms that use the combining form "pneum/o" include:

Pneumonia: An infection of the lungs that can cause inflammation, coughing, and difficulty breathing.

Pneumothorax: A condition in which air leaks into the space between the lung and chest wall, causing the lung to collapse.

Pneumonectomy: A surgical procedure in which one or more lobes of the lung are removed.

Pneumology: The study of the lungs and respiratory system.

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NEED HELP!!!! 13 POINTS!!!!!!

Exercise builds muscles because it causes them to contract. If this is the case, would massage, which causes them to relax, also be a way of building muscle?

A.

No, massage does not have any health benefits.

B.

Yes, any working with muscles makes them stronger.

C.

Yes, massage begins when the muscles are very tight.

D.

No, the contraction is where building strength comes from.

Answers

Answer:

If I were you I'd go with B, it just seems to make the most sense to me out of these options.

A DC motor is powered with Ea = 400V, the armature resistance is Ra = 20, the torque constant of the motor is K+ = 1 Nm/A. What gear ratio G is required to drive this load at its maximum operating speed? Hint: The load torque intercepts the motor torque in two places, only one will be positive, dwop you will again need to solve = 0. dG

Answers

A DC motor is powered with Ea = 400V, the armature resistance is Ra = 20, the torque constant of the motor is K+ = 1 Nm/A.

What gear ratio G is required to drive this load at its maximum operating speed?

The load torque intercepts the motor torque in two places, only one will be positive, drop you will again need to solve = 0. d the given details are Ea = 400VRa = 20K+ = 1 Nm/A

To find; Gear ratio G required to drive this load at its maximum operating speed.

Formula used: θ=K+ * Ia The motor torque, Tm = K+ * Ia The load torque, TL = J * dw / G The armature current, Ia = (Ea - V) / Ra By equating the motor torque and load torque, we have; K+ * Ia = TL The load torque is positive, so we have;TL = J * dw / G Since the load is operating at maximum speed, d w = 0So, TL = 0 = J * 0 / G

Thus, G is not found in the equation.

So, we can conclude that G does not affect the maximum speed of the motor. The maximum speed is determined by the back EMF, Ea, and the motor constants, K+ and Ra.

So, the gear ratio G is irrelevant in determining the maximum speed of the motor.

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Global climate and weather patterns are driven by differences in the amount of heat energy in different areas of the Earth. Which statement best explains why different areas of the Earth have different amounts of heat energy?
The Earth receives different amounts of solar energy in different regions.
ocean currents and global wind patterns, which are caused by convection currents, most strongly affect a region's
climate
An area with an average annual temperature of more than 64°F and greater than 59 inches of annual rainfall would be an example of which type of climate?
tropical
Which of the following factors would affect the weather patterns of a region?
all of these
Water cycles from the atmosphere into the hydrosphere through precipitation. Water cycles from the hydrosphere back to the atmosphere through evaporation.
Which of the following is one way that these patterns can effect climate?
Areas located near a large body of water typically receive more precipitation than areas that are not located near water.
Convection currents, which affect weather and climate, are created by
the uneven heating of the Earth.
Which of the following statements best describes global temperature patterns?
The temperature of a specific region tends to change in fairly predictable patterns throughout a day and during the course of a year.
Seasonal changes in water temperature tend to remain within a narrow range. This is opposed to air temperature, which tends to fluctuate across a wide range. The relative stability of ocean temperatures helps to regulate the temperatures of coastal regions. Why can water remain within a narrow range of temperatures?
It has a high heat capacity.
The Sun's energy is critical to the Earth's climate and weather patterns because it drives the water cycle. Which stage of the water cycle is the Sun's energy most critical to?
evaporation
he polar climate zone is the coldest of the three zones. Why is this?
The polar climate zone is located between about 67°N latitude and the North Pole—this latitude zone receives less sunlight than the other two latitude zones.
Weather is a condition of the atmosphere at a particular time and place. Wind, rain, and cloud formations are all forms of weather phenomena. What is the primary source of energy for weather phenomena?
solar radiation
The equator tends to contain regions with hot climates. However, the Rwenzori Mountains, which are located close to the equator, are covered in ice caps. Why is the climate of the Rwenzori Mountains not hot?
Temperatures decrease with elevation
A number of factors work together to create climate. What are the two main factors to consider in determining the climate of an area?
temperature and precipitation

Answers

The best statement that explains why different areas of the Earth have different amounts of heat energy is that "Earth receives different amount of solar energy in different regions " .

In the question ,

it is given that ,

Global climate & weather patterns are driven by differences in amount of heat energy in different areas of Earth .

we have to find the true statement for the given cause .

we know that ;

Different parts in the  Earth surface receive different amounts of sunlight . The Sun rays strike the Earth surface most directly at Equator.

that means Near the poles, the Sun rays strike surface at a slant due to which the rays spread over wide area.

The more focused rays are, more energy the area receives, and it will be more warmer .

Therefore , the correct statement to explain given reason is "Earth receives different amount of solar energy in different regions " .

The given question is incomplete , the complete question is

Global climate and weather patterns are driven by differences in the amount of heat energy in different areas of the Earth. Which statement best explains why different areas of the Earth have different amounts of heat energy ?

(a) The solar radiation from the Sun is equally distributed across the Earth at all times.

(b) The gravitational energy from the Sun varies greatly in different regions of the Earth.

(c) The Earth spins at different rates so the rotational energy of the Earth varies.

(d) The Earth receives different amounts of solar energy in different regions

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What is the net force acting on a 52 kg object that has a velocity of 8.0 m/s and is moving in a circle of radius 1.6 m? a. 4000N b. 20880N c. 2500N d. 3500N

Answers

Σf = m a
Σf = m v^2 / r
Σf = 52 8^2 / 1.6
Σf = 2080 N
The net force acting of the object will be "2080 N".

Given values are:

Mass, m = 52 kgVelocity, v = 8.0 m/sRadius, r = 1.6 m

As we know the formula,

→ \(\Sigma f = ma\)

or,

→ \(\Sigma f = \frac{mv^2}{r}\)

By putting the values, we get

         \(= \frac{52\times 8^2}{1.6}\)

         \(= \frac{52\times 64}{1.6}\)

         \(= 2080 \ N\)

Thus the response above is appropriate.

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Which of the following is a vector quantity?
Check all that apply.
speed
time
force
displacement
temperature
momentum
velocity
acceleration

Answers

Force, displacement, momentum, velocity and acceleration are  vector quantity among them.

What is vector quantity?

The term "vector quantities" refers to physical quantities that have clearly defined definitions for both magnitude and direction.

As an illustration, consider a boy riding his bike in a north-east direction at a speed of 30 km/h. As a result, we can see that in order to define velocity, we need to know both its magnitude and its direction. As a result, it symbolizes a vector quantity.

To define force, displacement, momentum, velocity and acceleration, we need both magnitude and direction. So, they are vector quantity.

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Electromagnetic waves are transverse waves. They consist of traveling electric and magnetic fields which oscillate periodically. What angle does the electric field make with the magnetic field in an electromagnetic wave?

A.) 30
B.) 45
C.) 60
D.) 90

Answers

Answer:

The answer is D.) 90

Explanation:

the electromagnetic wave is a transverse wave. the electric field makes an angle of 90° with the magnetic field. both these fields, in turn, make an angle of 90° with the direction of movement of the wave.

Suppose that none of the 44 dolphins encountered in the second sampling had been photographed before. Would you be able to solve the equation for n? what might you conclude about population size in this case?.

Answers

If none of the 44 dolphins encountered in the second sampling had been photographed before, then we can use the Lincoln-Petersen index equation to estimate the population size (n) as follows:

n = (N × n2) / n1

where N is the total number of dolphins marked in the first sampling (assumed to be known), n1 is the number of dolphins encountered in the first sampling, and n2 is the number of dolphins encountered in the second sampling that were not marked before.

Since none of the 44 dolphins encountered in the second sampling had been photographed before, we can assume that n2 = 44. However, without knowing the value of n1, we cannot solve the equation for n.

If we assume that the proportion of marked dolphins in the first sampling (N/n1) is representative of the proportion of marked dolphins in the entire population, then we can estimate the population size as follows:

n = N × (n2/n1)

For example, if N = 100 and n1 = 10, then we would estimate the population size as:

n = 100 × (44/10) = 440

However, this assumes that our initial marking effort was representative of the entire population and that there were no changes in the population size or structure between the two samplings.

In general, if we encounter a large number of unmarked individuals in a subsequent sampling, it may suggest that the population size is larger than our initial estimate based on the marking effort. However, we would need to consider other factors such as the size and spatial distribution of the population, the marking and recapture methods used, and the assumptions underlying the Lincoln-Petersen index.
In this case, if none of the 44 dolphins encountered in the second sampling had been photographed before, it would suggest that there are more dolphins in the population than initially estimated. However, you would not be able to precisely solve the equation for n (the total population size) based on this information alone. This outcome indicates that the population size is likely larger than the sample sizes, but additional data would be needed to accurately estimate the total number of dolphins in the population.

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Which statement BEST describes the process of playing sports?

A. No pain, no gain.
B. Rules are meant to be broken as long as nobody gets hurt.
C. You should understand the risks of each sport and listen to your body.
D. none of the above

Please select the best answer from the choices provided.

Answers

Answer:

option A because in sport pain makes a player strongest.......

Answer: Choice C: You should understand the risks of each sport and listen to your body.

Explanation: The statement that BEST describes the process of playing sports is C. You should understand the risks of each sport and listen to your body. It’s important to be aware of the potential risks associated with each sport and to pay attention to your body’s signals to avoid injury.

at a given instant, the blood pressure in the heart is 1.5 x 104 pa. if an artery in the brain is 0.41 m above the heart, what is the pressure in the artery? ignore any pressure changes due to blood flow.

Answers

Assuming that the density of blood is constant and neglecting any pressure changes due to blood flow, the pressure in the artery can be found using the hydrostatic pressure equation:

P = ρgh

where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height of the fluid column.

In this case, we can consider the blood to be the fluid and use the given blood pressure in the heart as the initial pressure.

We are then asked to find the pressure in an artery in the brain, which is located 0.41 m above the heart.

First, we need to convert the given blood pressure in pascals (Pa) to meters of fluid column. This can be done using the following equation:

P = ρgh

h = P / (ρg)

where h is the height of the fluid column in meters.

Assuming a density of blood of 1,060 kg/m³ and a standard acceleration due to gravity of 9.81 m/s², we can calculate the height of the fluid column as follows:

h = (1.5 x 10^4 Pa) / (1,060 kg/m³ x 9.81 m/s²) = 1.43 m

Therefore, the height of the blood column corresponding to the given blood pressure in the heart is 1.43 m.

To find the pressure in the artery in the brain, we can use the hydrostatic pressure equation again with the given height of 0.41 m:

P = ρgh = (1,060 kg/m³) x (9.81 m/s²) x (0.41 m) = 4,215 Pa

Therefore, the pressure in the artery in the brain is approximately 4,215 Pa.

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Find the work done in lifting the bucket
A 7 lb bucket attached to a rope is lifted from the ground into the air by pulling in 24 ft of rope at a constant speed. If the rope weighs 0.8, how much work is done lifting the bucket and rope?
Assuming the force required to lift the rope is equal to its weight, find the force function, F(x), that acts on the rope when the bucket is at a height of x ft.
F(x)=

Answers

The total work done in lifting the bucket and rope is 187.2 foot-pounds (ft-lb).

To find the work done in lifting the bucket and rope, we need to consider two parts:

Part 1: Work done lifting the bucket (without the rope) 24 ft:

The work done in lifting the bucket can be calculated by multiplying the weight of the bucket by the distance it is lifted.

Given:

Weight of the bucket = 7 lb

Distance lifted = 24 ft

Work done lifting the bucket = Weight of the bucket x Distance lifted

Work done lifting the bucket = 7 lb x 24 ft

Please note that the units need to be consistent for the calculation. In this case, we have pounds (lb) and feet (ft).

Part 2: Work done lifting the rope:

Assuming the force required to lift the rope is equal to its weight, we can calculate the work done lifting the rope by multiplying the weight of the rope by the distance it is lifted.

Given:

Weight of the rope = 0.8 lb

Distance lifted = 24 ft

Work done lifting the rope = Weight of the rope x Distance lifted

Work done lifting the rope = 0.8 lb x 24 ft

Now, we can calculate the total work done in lifting the bucket and rope by summing up the work done in both parts:

Total work done = Work done lifting the bucket + Work done lifting the rope

Please note that the units of work are in foot-pounds (ft-lb).

Now, we can calculate the values:

Work done lifting the bucket = 7 lb x 24 ft = 168 ft-lb

Work done lifting the rope = 0.8 lb x 24 ft = 19.2 ft-lb

Total work done = 168 ft-lb + 19.2 ft-lb = 187.2 ft-lb

Therefore, the total work done in lifting the bucket and rope is 187.2 foot-pounds (ft-lb).

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The complete question is:

Find the work done In lifting the bucket A 7 Ib bucket attached to a rope is lifted from the ground Into the air by puling in 24 ft of rope at a constant speed. If the rope weighs 0.8, how much work done lifting the bucket and rope? Part1 -1 Find the work done lifting the bucket (without the rope) 24 ft . ft-Ib Part-2. Assuming the force required to lift the rope is equal to its weight; find the force function, F(x), that acts on the rope when the bucket is at height of x Ft. Part- 3 Setup the Integral that will give the work required to lift the rope 24 ft. Part -4 The total amount of work done lifting the bucket and ft-Ib.

During what processes would your body use a condensation reaction? you can use specific examples.

Answers

Answer:

To cool down.

Explanation:

When your body is cold and you enter a wet environment the moisture from the air will condense on your skin much like a cold glass of water on a hot day.

an electron has a velocity of 107 m/s. it is traveling in a region where the electric field is 105 v/m and the magnetic flux density is 0.5 gauss (that is a value comparable to that of the earth magnetic field). find the force due to the electric and the magnetic fields and compare them. which is larger?

Answers

a) The force due to the electric field is 1.682 x 10^-17 N, and the force due to the magnetic field is 4.303 x 10^-17 N.

b) The total force on the electron is 5.985 x 10^-17 N. The force due to the magnetic field is larger than the force due to the electric field, and it is approximately 2.56 times larger.

To find the force due to the electric and magnetic fields on the electron, we can use the Lorentz force equation

F = q(E + v x B)

where F is the total force on the electron, q is the charge of the electron, E is the electric field, v is the velocity of the electron, and B is the magnetic flux density.

First, let's calculate the force due to the electric field

F_E = qE

where F_E is the force due to the electric field.

Substituting the given values, we get

F_E = (1.602 x 10^-19 C)(105 V/m) = 1.682 x 10^-17 N

Next, let's calculate the force due to the magnetic field

F_B = q(v x B)

where F_B is the force due to the magnetic field.

Substituting the given values, we get

F_B = (1.602 x 10^-19 C)(107 m/s)(0.5 x 10^-4 T) = 4.303 x 10^-17 N

where T is the unit of magnetic flux density, which is equivalent to 10^-4 gauss.

Therefore, the total force on the electron is

F = F_E + F_B = 1.682 x 10^-17 N + 4.303 x 10^-17 N = 5.985 x 10^-17 N

Comparing the forces, we see that the force due to the magnetic field is larger than the force due to the electric field. In fact, it is approximately 2.56 times larger. This is because the magnetic force on a charged particle depends on the velocity of the particle, whereas the electric force depends only on the electric field. In this case, the velocity of the electron is relatively high, so the magnetic force dominates.

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The electrical resistance of a circuit is influenced by three primary factors:


length
insulation
diameter
shape
conductivity

Answers

Length , diameter , conductivity are the three factors .

What is Resistance?

Resistance is a concept in physics that refers to the opposition to the flow of electric current in a material. It is defined as the ratio of the voltage applied across a material to the current flowing through it. The unit of resistance is the ohm (Ω). The resistance of a material is influenced by several factors, including its composition, temperature, and dimensions. Some materials, such as metals, have low resistance and are good conductors of electricity, while others, such as insulators, have high resistance and are poor conductors of electricity. In electrical circuits, resistance plays a key role in determining the amount of current flow, the distribution of voltage, and the amount of power dissipated as heat. Understanding resistance is important in a variety of fields, including electronics, electrical engineering, and physics.

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The voltage waveform in the given figure is applied across a 55-μf capacitor

Answers

Answer:

Explanation:

A capacitor is an electronic component that stores and releases electrical energy. It consists of two conductive plates separated by an insulating material called a dielectric. When a voltage is applied across the plates, charge accumulates on them, creating an electric field between the plates.

The capacitance of a capacitor is a measure of its ability to store charge. It is typically represented by the symbol 'C' and is measured in farads (F). In your case, you mentioned a 55-μF (microfarad) capacitor, indicating its capacitance value.

When a voltage waveform is applied across a capacitor, the capacitor charges and discharges in response to the changes in voltage. The rate at which the capacitor charges and discharges depends on the capacitance and the resistance in the circuit

Since there is no figure provided in the text, I am unable to reference it for the specific details of the voltage waveform. However, I can explain the general behavior of a capacitor when a voltage waveform is applied.

When a voltage waveform is applied across a capacitor, the capacitor charges and discharges in response to the changes in voltage. The behavior of the capacitor is determined by its capacitance, which is given as 55 μF in this case.

As the voltage waveform varies, the capacitor stores and releases electrical charge. During the rising portion of the waveform, the capacitor charges and accumulates energy. During the falling portion, the capacitor discharges and releases the stored energy.

The exact behavior and characteristics of the voltage waveform and the charging/discharging process depend on the specific shape and frequency of the waveform. Without the specific details of the voltage waveform provided in the figure, it is challenging to provide a more detailed analysis.

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a 80 kg man lying on a surface of negligible friction shoves a 53 g stone away from himself, giving it a speed of 4.6 m/s. what speed does the man acquire as a result?

Answers

When an 80 kg man moving at 120.75 m/s pushes a 53 g stone away from him while lying on a surface with little friction, the stone moves at a speed of 4.6 m/s.

Let the man acquire the speed v in the opposite direction.Let the momentum be conserved here.The momentum of the stone before the push is: p₁ = 0The momentum of the stone after the push is: p₂ = m × vWhere m is the mass of the stoneThe impulse is given as: J = p₂ - p₁Now, we know that the impulse (J) = Force (F) × time (t).

We also know that force is mass × acceleration. Therefore, the impulse can be written as: J = m × a × tUsing these equations we can solve for the acceleration (a).a = J/(m × t)Now, the acceleration is the same for the man and the stone, but the masses are different.

Therefore, the man acquires a speed v that is much smaller than the velocity of the stone. Substituting the given values we get,a = (m₂v₂ - m₁v₁)/(m₂t₂)  =  (0.053 × 4.6)/(80 × t) = 0.00109/t m/s². After equating the forces acting on both the stone and the man, we have;Fman = - Fstone.

This is because the man's speed is in the opposite direction to the stone.Let u be the initial speed of the man before he shoves the stone away from himself.

Using the momentum formula, m1u1 + m2u2 = m1v1 + m2v2.The mass of the stone is 0.053 kg while the man's mass is 80 kg.So,80u + 0.053 × 0 = 80v + 0.053 × 4.6v = (80u) / 0.053+4.6v = (80u) / 0.053v = 120.75u.

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A stream of electrons will behave in what way in an electric field?
A) be unchanged
B) be stopped
C) be deflected toward the positive electrode
D) be deflected toward the negative electrode

Answers

A stream of electrons will be deflected towards the positive electrode in an electric field.

This is due to the fact that electrons carry a negative charge, and therefore are attracted to the positively charged electrode. This deflection can be explained by the interaction between the electric field and the charge of the electron. As the electron travels through the field, it experiences a force that causes it to change direction towards the positive electrode.

In summary, the behavior of a stream of electrons in an electric field is that they will be deflected towards the positive electrode due to their negative charge.

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The Earth's _____
is what gives us day and night

1. Orbit
2. Rotation
3.Revolution

Answers

Answer:

rotation

Explanation:

............................

Answer: 2nd option, Rotation

I hope this helps, and Stay Safe! :)

a block oscillating on a spring has an amplitude of 20 cm . part a what will the block's amplitude be if its total energy is doubled? express your answer with the appropriate units.

Answers

If the total energy of the block oscillating on a spring is doubled, the amplitude of the block's oscillation will also be doubled. Therefore, the new amplitude will be 40 cm.

When a block oscillates on a spring, its total energy is related to its amplitude. The total energy E of the oscillating block can be expressed as: E = (1/2) * k * A^2 where k is the spring constant and A is the amplitude. If the total energy is doubled, the equation becomes: 2E = (1/2) * k * A'^2 where A' is the new amplitude. To find the new amplitude, we can divide the second equation by the first equation: (2E) / E = ((1/2) * k * A'^2) / ((1/2) * k * A^2) 2 = A'^2 / A^2 Now, we need to solve for A': A'^2 = 2 * A^2 A' = sqrt(2 * A^2) Given the initial amplitude A is 20 cm, we can find the new amplitude A': A' = sqrt(2 * (20 cm)^2) A' = sqrt(2 * 400 cm^2) A' = sqrt(800 cm^2) A' ≈ 28.3 cm So, when the block's total energy is doubled, its new amplitude will be approximately 28.3 cm.

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A boat can travel 15 m/s when there is no ocean current. If the ocean current has a velocity of 3 m/s that is going directly East, which way should the boat steer to move directly North if the boat is moving at 15 m/s?​

Answers

15*3=45(m) according to the speed of the current
15*15=225(m) boat speed

a student has a collection of resistors of unknown resistance made of various materials and wants to experimentally determine the effect of resistivity on resistance. the student connects each different resistor in the circuit shown above, without changing the other components, and measures the current in the circuit and the potential difference across each of the different resistors. will measurement of just these two quantities provide sufficient information? why or why not?

Answers

No, because even though the resistances can be determined, resistance also depends on the dimensions of the resistor.

About resistor

 A resistor is an electronic component that inhibits electric current. Resistors are included in passive components because these components do not require an electric current to work. Resistors are made of tubular material or carbon and ceramic materials. The greater the capacity of the resistor, the larger the diameter of the tube used.

Functions of resistors

in electronic circuits, resistors have several uses, namely as follows.

Current resistors Voltage dividers Current dividers Current guards and so on.

The resistor formula is as follows:

R = V/I

Description:

R = resistance in units of Ohms

V = voltage in units of Volts

I = current in amperes

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What is the average velocity of a train that goes 86 km in 1.3 hours?

Answers

The answer is:

V = d/t d = 86 km t = 1.3 hrs

V = 86 km/ 1.3 hrs

V = 66.15 km/ hrs

I hope this helps!!

A platinum resistance thermometer measures temperature by the change in the electrical resistance of a platinum wire. The coefficient of resistivity for platinum is 3.92×10
−3


C
−1
. At a temperature of 20.0

C, the thermometer has a resistance of 50.0Ω; when immersed in a crucible containing melting indium its resistance is 76.8Ω. What is the melting point of indium? Question 9 An electric fire has a heating element rated at 1 kW when operating at 230 V. (a) what is its resistance? (b) what will be the power dissipation if the mains voltage drops to 210 V, assuming that the element obeys Ohm's Law?

Answers

From the calculation;

1) Melting point of indium = 171.4°

2) The resistance is 52.9 ohm

3) The power dissipated is  834 W

Temperature coefficient of resistance

The temperature coefficient of resistance is a measure of how much the resistance of a material changes with temperature. It quantifies the relationship between the change in resistance and the change in temperature.

We have that;

R1/R2 = (1 + αt1)/(1 + αt2)

50/76.8 = (1 + (3.92 * \(10^-3\) * 20))/(1 +  (3.92 *\(10^-3\) * t))

0.65 = 1.0784/1 + 0.00392t

0.65(1 + 0.00392t) =  1.0784

0.65 + 0.0025t = 1.0784

t = 171.4°

P = \(V^2\)/R

R = \(V^2\)/P

R = \(230^2\)/1000

R = 52.9 ohm

The new power is;

P =\(210^2\)/52.9

P = 834 W

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In ancient times, _____________________was predicting the motion of the stars, while ____________________was predicting how those stars affected us

Answers

In ancient times, Astronomy was predicting the motion of the stars, while Astrology was predicting how those stars affected us.

 If a star is moving away, its light waves get stretched out to longer, redder, wavelengths, producing a redshift. The faster the star, the greater this shift, so observers can measure the line-of-sight speed from the Doppler shift.the astronomer William Herschel (1738-1822) systematically measured the proper motion of stars in the sky. He found that stars were moving apart in one region and coming closer together in another, and concluded that the Sun was moving toward the region where stars are moving apart.

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A 1300kg sports car accelerates from 0 m/s to 29 m/s in 13 seconds. What is the average power of the engine?

Answers

The average power of the engine will be 42050 watt.

In physics term with examples, what is power?

Power is the pace of production of work. The watt (W), which is equal to 1 joule per second (1J/s), is the SI unit for power. Power is a measure of how quickly energy is used up since power is the transmission of energy. An example would be a 60-W light bulb, which uses 60 J of energy every second. P = E/t, where P stands for power, E for energy, and t for time in seconds, is the formula. According to this equation, power is the amount of energy consumed in a given amount of time.

How to determine the average power of an engine ?

Given, mass = 1300 kg

initial velocity, u = 0

final velocity, v = 13 m/s

time, t = 13 s

by using E = 1/2 m [v² - u²]

E = 1/2 ×1300×[29² - 0²]

E = 546650 J

now, Power, P = E/t

P = 546650/13

P = 42050 watt

The average power of the engine will be 42050 watt.

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The mean free path where commercial aircraft fly (about 30,000 ft) is nearest: a. 0.0076 mmb. 0.0026 mm c. 0.00076 mm d. 0.00017 mm

Answers

The mean free path where commercial aircraft fly (about 30,000 ft) is nearest 0.0076 mm. (A)

The mean free path is the average distance a molecule can travel before it collides with other molecules in the atmosphere. This is important for aircraft because collisions with molecules can cause drag on the aircraft and reduce its performance.

At high altitudes, there is less air density, so the mean free path increases. At 30,000 ft, the mean free path is around 0.0076 mm, which is the closest answer to the given options.

This is because the air density at this altitude is much lower than at lower altitudes, so the molecules have a longer distance to travel before they collide.

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A rectangular loop of width w and length l moves with a constant velocity ~v away from a long, straight wire carrying a current I. The resistance of the loop is R. What is the magnitude and direction of the induced current in the loop when the side nearest the wire is a distance r away from the wire

Answers

The magnitude of the induced current in the loop is I_induced = (I * l * v) / (R * w). The direction of the induced current depends on the direction of the magnetic field produced by the current-carrying wire and the motion of the loop.

The magnitude of the induced current in the loop can be determined using Faraday's Law of electromagnetic induction. According to Faraday's Law, the induced electromotive force (EMF) in a loop is equal to the rate of change of magnetic flux through the loop. Mathematically, it can be expressed as:

EMF = -dΦ/dt

In this case, the magnetic flux through the loop is given by:

Φ = B * A

where B is the magnetic field and A is the area of the loop.

The magnetic field produced by the current-carrying wire at a distance r away from the wire can be calculated using Ampere's Law:

B = (μ0 * I) / (2π * r)

where μ0 is the permeability of free space and I is the current in the wire.

The area of the loop is A = l * w.

Substituting the values into the equation for magnetic flux, we have:

Φ = B * A = ((μ0 * I) / (2π * r)) * (l * w)

Taking the derivative of magnetic flux with respect to time, we get:

dΦ/dt = (μ0 * l * w * v * I) / (2π * r)

The negative sign in Faraday's Law indicates the direction of the induced current. Therefore, the magnitude of the induced current in the loop is given by:

I_induced = (μ0 * l * w * v * I) / (2π * r * R)

The magnitude of the induced current in the loop is given by I_induced = (μ0 * l * w * v * I) / (2π * r * R), where μ0 is the permeability of free space, l is the length of the loop, w is the width of the loop, v is the velocity of the loop, I is the current in the wire, r is the distance from the wire, and R is the resistance of the loop. The direction of the induced current depends on the direction of the magnetic field produced by the current-carrying wire and the motion of the loop.

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