what is the diameter of the driven pulley that is turning 700 rpm, when the 6-inch driver is rotating 2100 rpm

Answer:

\(a=\frac{v^2}{r}\)

\(v=\sqrt{a*r}\)

\(r=\frac{v^2}{a}\)

Explanation:

This is the formula for centripetal acceleration in terms of the tangential velocity (v) and the radius of the circular motion (r).  The expression for the acceleration is already given, so simply type it as shown:

\(a=\frac{v^2}{r}\)

For the velocity (v) multiply by "r" both sides and then use the square root to solve for v:

\(a*r=v^2\\v=\sqrt{a*r}\)

For the radius multiply both sides by r and then divide both sides by the acceleration (a) in order to isolate r completely:

\(a*r=v^2\\r=\frac{v^2}{a}\)

It would take 500 J of work to completely separate them. Option e is the answer.

Gravitational potential energy is the energy stored in the gravitational field between two objects. A negative value for gravitational potential energy indicates that work would need to be done to separate the objects to an infinite distance, meaning that the objects are attracted to each other. Therefore, in this scenario, it would take 500 J of work to completely separate the objects. Option e is correct choice.

To know more about potential energy, here

brainly.com/question/24284560

#SPJ4

Answer:

displacement

Explanation:

Hookes Law describes the elastic properties of materials only in the range in which the force and displacement are proportional (displacement = change in length).

Answer:

White light contains yellow, green, and blue - only the blue light will be reflected giving the blue color.

So the green and yellow light thru the filter will not be reflected and the fabric will still appear blue.

blue is correct

a) The reason for the high input resistance of a MOSFET is the insulator layer, b) The transistor without an Ipss parameter is the JFET ,  c) gm can be greater than gmo for an n-channel D-MOSFET when VGs is negative , d) When a load resistance of 1KQ is capacitively coupled to the drain, the gain of the amplifier will not change.

a) The reason for the high input resistance of a MOSFET is primarily due to the insulator layer. In a MOSFET, the gate terminal is separated from the channel by a thin layer of insulating material, typically silicon dioxide (SiO2). This insulator layer acts as a barrier and prevents the flow of direct current between the gate and the channel. As a result, the input resistance of the MOSFET becomes very high, often in the order of megaohms.

b) The transistor that does not have an Ipss parameter is the JFET (Junction Field-Effect Transistor). Ipss, also known as IDSS (Drain Current at Zero Gate Voltage), is a parameter associated with MOSFETs and refers to the drain current when the gate-to-source voltage (VGS) is zero. JFETs, on the other hand, do not have a similar parameter because their operation is based on the control of current flow through a conducting channel, rather than the formation of a depletion region like in MOSFETs.

c) For an n-channel D-MOSFET transistor, the condition where gm (transconductance) can be greater than gmo (transconductance with VGS = 0) is when VGs (gate-to-source voltage) is negative. In a D-MOSFET, the transconductance gm represents the relationship between the change in drain current and the change in gate-to-source voltage. It is typically greater than gmo (which is the transconductance at VGS = 0) when the gate voltage is negative, indicating that the transistor is in the saturation region of operation.

d) When a load resistance of 1KQ (1 kilohm) is capacitively coupled to the drain of an amplifier with an Rp (plate resistance) of 1KQ, the gain of the amplifier will not change. The coupling capacitor allows the AC component of the signal to pass through while blocking the DC component. Since the coupling capacitor blocks the DC bias from the load resistor, it does not affect the operating point of the amplifier. Therefore, the gain of the amplifier remains unaffected by the addition of the capacitively coupled load resistor.

Learn more about amplifier

https://brainly.com/question/29604852

#SPJ11

Answer:

Friction force is the correct answer.

Actually I'm wrong the person who has commented is correct

Answer:

c

Explanation:

The amount of mass used up in holding a nucleus together the mass defect represent.

Thus, The term "mass defect" refers to the discrepancy between the actual atomic mass and the expected mass obtained by multiplying the mass of the protons and neutrons in the nucleus by a constant factor.

The anticipated mass obtained by combining the masses of the nucleons is less than the actual atomic mass. The binding energy that is produced when a nucleus forms accounts for this extra mass.

The mass defect is a result of some of the mass being converted to energy during the formation of a nucleus. The real mass of an atomic nucleus is therefore less than the mass of the constituent particles.

Thus,  The amount of mass used up in holding a nucleus together the mass defect represent.

Learn more about Mass, refer to the link:

https://brainly.com/question/11954533

#SPJ2

During outbound/return travel to Mars, astronauts can be exposed to a significant amount of radiation, primarily due to cosmic radiation.

In general, the radiation exposure for a round trip to Mars is estimated to be around 0.66 to 1.03 sieverts (Sv). This value is based on the average radiation levels encountered during a typical mission with current spacecraft shielding and travel durations. The factors that can cause the radiation exposure to be greatest during outbound/return instances are:

1. Solar activity: Astronauts would experience higher radiation doses during such events.

2. Spacecraft shielding: The level of radiation shielding provided by the spacecraft plays a crucial role in reducing the radiation exposure. Advanced shielding technologies and materials can help minimize the radiation dose during the journey.

3. Duration of the journey: The longer the outbound/return journey, the higher the cumulative radiation exposure. Extended travel times mean more time spent in space and therefore increased exposure to cosmic radiation. Shielding, mission planning, and astronaut rotation strategies are among the approaches used to mitigate radiation risks during interplanetary travel.

To know more about radiation exposure, visit,

https://brainly.com/question/1443001

#SPJ4

The combined velocity of Sally and sled right after she jumps on it is 3.52 m/s.

Strength or force gained by motion or by series of events is called momentum.

p = mv = (59 kg)(4 m/s) = 236 kg m/s

Total momentum before the jump is:

p_total = p_sally + p_sled = 236 kg m/s + 0 kg m/s = 236 kg m/s

m_total = m_sally + m_sled = 59 kg + 8 kg = 67 kg

Total momentum after the jump is:

p_total = m_total * v

236 kg m/s = 67 kg * v

v = 3.52 m/s

Therefore, the combined velocity of Sally and the sled right after she jumps on it is 3.52 m/s.

To know more about momentum, refer

https://brainly.com/question/1042017

#SPJ1

Answer:

Formula for constant-speed = Total distance / Total time taken

Explanation:

The maximal height that mud can rise above the ground is given by 2(v^2/9.81).

We have to calculate the maximal height that mud can rise above the ground. Given that a car is stuck in the mud. In his efforts to move the car, the driver splashes mud from the rim of a tire of radius R spinning at a speed v where v 2 > gR. Mud particles get off from all along the perimeter of the tire.Neglecting the resistance of the air.The maximum height (h) that the mud can rise above the ground is calculated using the given formula as,h = (v^2/g)(1+cosθ)Here, g is the acceleration due to gravity (9.81 m/s^2), v is the speed of the tire, and θ is the angle of inclination between the vertical and the direction of motion of the mud particles.Let's calculate the value of θ.In a circular motion, we know that the angle swept in a time (t) is given asθ = ωtWhere, ω is the angular velocity.We know that velocity, v = ω RWhere, R is the radius of the tire.Substituting the value of ω in terms of v and R, we haveθ = v/R × t.

Now, let's calculate the time taken by a mud particle to come out of the tire.The circumference of the tire is given by,C = 2π RThe time taken by a mud particle to come out of the tire is given as,t = C/vSubstituting the value of C and v, we havet = 2π R/vNow, substituting the value of t in terms of v and R in the equation of θ, we have,θ = v/v × (2π R) = 2πNext, we can calculate the value of h by substituting the values of v, R, g, and θ in the equation of h as follows;h = (v^2/g)(1+cosθ)h = (v^2/9.81)(1+cos2π)h = (v^2/9.81)(1+1)h = 2(v^2/9.81)Answer: The maximal height that mud can rise above the ground is given by 2(v^2/9.81).

Learn more about angular velocity-

https://brainly.com/question/29566139?utm_source=android&utm_medium=share&utm_campaign=question

#SPJ11

The activity that is not part of sustainable development is option 3, where forests are cut down and new trees regrow to replace them. This is because it takes several years for new trees to grow, and the rate at which they are being cut down is much higher than the rate at which they are being replaced.

This can lead to deforestation, which can cause soil erosion, water pollution, and loss of biodiversity.
On the other hand, options 1, 2, and 4 are sustainable activities as they focus on conserving resources and reducing environmental impact.

Limited harvesting of fish ensures that their populations are not depleted, while replacing water in the Great Lakes ensures that the ecosystem remains balanced. Solar energy is a renewable source of energy that does not produce harmful emissions and reduces the dependence on non-renewable sources like coal and oil.

In conclusion, sustainable activities focus on using resources in a responsible and efficient manner, ensuring that they are not depleted and do not cause harm to the environment. It is essential to adopt sustainable practices to ensure the long-term health and well-being of our planet.

To learn more about deforestation here

https://brainly.com/question/1954170

#SPJ11

The magnitude and direction of the magnetic force on a particle of charge is - 2.21 in the opposite direction.

Magnetic force is defined as the electrically charged particles that are in motion and exhibit either attraction or repulsion. The interaction between moving and stationary charged particles is explained by the electromagnetic force, commonly known as the Lorentz force.

The magnitude and direction of the magnetic force can be calculated as

F = q v B sinθ

Given q = 13 C

v = - 20 m/s

B =  0.5 T²

F = 13 C x - 20 m/s x 0.5 T² sinθ

F = - 130 sinθ

Let θ is equal to 1

Then, F = 130 sin1

F = - 130 x 0.017

F = - 2.21

Thus, the magnitude and direction of the magnetic force on a particle of charge is - 2.21 in the opposite direction.

To learn more about magnetic force, refer to the link below:

https://brainly.com/question/3160109

#SPJ1

The given sequence does converge. It converges to 4. To determine if the given sequence converges, we need to analyze its pattern.

The sequence is defined as {4- (3)}** n=0, where n represents the index of the term in the sequence. The expression within the braces, 4- (3), suggests that each term is obtained by subtracting 3 multiplied by the previous term from 4.

Let's calculate a few terms to observe the pattern:

Term 0: 4 - (3)* = 4 - 0 = 4

Term 1: 4 - (3)4 = 4 - 12 = -8

Term 2: 4 - (3)(-8) = 4 + 24 = 28

Term 3: 4 - (3)*28 = 4 - 84 = -80

From the calculations, it is clear that the sequence does not converge to a specific value. Instead, it oscillates between positive and negative values, never settling down to a single value. Therefore, the given sequence does not converge.

Learn more about oscillates here:

https://brainly.com/question/15780863

#SPJ11

Answer:

-39.2m/s

Explanation:

Given that :

t = 4secs

g = -9.8m/s^2

v = ?

u = 0m/s ( since it was at rest )

V = u +at............. 1

Where v is the final velocity

a = -g = -9.8m/s^2 since the ball was dropped from a height which will eventually make it move against gravity

t = 4secs

Substitute the values into 1

v = 0 - 9.8×4

v = -39.2m/s

The answer is False. A polarized material does not need to have a nonzero net electric charge. Polarization occurs when the positive and negative charges within a material are displaced relative to each other, creating an electric dipole moment.

This can happen in materials such as dielectrics or insulators, which do not conduct electricity. The net electric charge of a polarized material can still be zero, as the overall positive and negative charges remain balanced, but the charges are spatially separated. Polarization plays an important role in phenomena such as capacitance, dielectric constant, and polarization-induced electric fields.

To know more about polarized visit :-

https://brainly.com/question/29217577

#SPJ11

The mass of the car, according to the inquiry, is 897.6 kg.

Mass is the measure of the amount of matter in an object. It is measured in kilograms (kg) in the International System of Units (SI), or in pounds (lb) or ounces (oz) in the imperial and US customary systems. Mass can also be measured using density, which is the ratio of mass to volume.

The kinetic and potential energies of the car can be added to get its total mechanical energy, which is 920,500 J. We know the height of the slope (1.2 m), the speed of the car (18 m/s), and that it is flying over the hill.

K = 0.5 x m x (18 m/s)²

U = m x 9.8 m/s² x 1.2 m

0.5 x m x (18 m/s)² = 920,500 J

m x 9.8 m/s² x 1.2 m = 920,500 J

Solving these two equations, we get m = 897.6 kg.

Therefore, the mass of the car is 897.6 kg.

To learn more about mass
https://brainly.com/question/28012687
#SPJ1

All of the above options could potentially from a thermostatic valve's thermal bulb coming loose from suction line at the outlet of evaporator.

When the bulb is disconnected, the pressure inside it may increase, causing the thermostatic expansion valve to open. This can lead to a decrease in superheat in the evaporator as more refrigerant is allowed to flow through the valve. Additionally, the increase in refrigerant flow can cause an increase in evaporating pressure and the compressor's suction pressure. Therefore, all of the mentioned consequences are possible outcomes of a loose thermal bulb in a thermostatic expansion valve.

To learn more about thermal bulb

https://brainly.com/question/31802733

#SPJ11

The term that describes weathering breaks down the rock. Weathering is the breakdown of rocks, soil, and other geological material under the influence of physical, chemical, or biological agents.

The term weathering refers to a variety of processes that wear away or weaken rocks over time. Weathering is classified into two categories: chemical and physical. Chemical weathering occurs when rock is chemically broken down by reactions with acid rain or other chemicals.

Physical weathering, on the other hand, occurs when rock is broken down into smaller pieces by water, wind, ice, or other forces that do not change the chemical composition of the rock. In conclusion, the term that describes weathering is breaking down the rock.

You can learn more about Weathering at: brainly.com/question/12426129

#SPJ11

The speed of the liquid in the second segment is V2 = 2.8284 m/s and The speed of the liquid in the third segment is V3 = 14.1421 m/s.

What is speed?

The velocity (commonly denoted as v) of an object is the amount of change in its position over time, or the amount of change in its position per unit time. it is therefore a scalar quantity. The average speed of an object over a period of time is the distance traveled by the object divided by the duration of the interval;  The instantaneous speed is the limit of the average speed when the duration of the time interval approaches zero. Speed ​​is not the same as speed.

The speed of the liquid in the second segment is calculated as follows:

V2 = V1 * (A1/A2)^0.5

V2 = 4.0 m/s * (pi * 0.01^2 / pi * 0.02^2)^0.5

V2 = 2.8284 m/s

The speed of the liquid in the third segment is calculated as follows:

V3 = V2 * (A2/A3)^0.5

V3 = 2.8284 m/s * (pi * 0.02^2 / pi * 0.005^2)^0.5

V3 = 14.1421 m/s.

The SI unit of speed is meters per second (m/s), but the most common everyday unit of speed is kilometers per hour (km/h) or miles per hour (mph) in the US and UK. .For air and sea travel, the knot is widely used.

To know more about speed visit:

https://brainly.com/question/6504879

#SPJ4

The solar constant of 1367 W/m2 means the whole Earth receives an energy input of 1.7 x 10^17 W. Assuming the Earth is in equilibrium, this energy is balanced by an outgoing energy flux of the same amount. With an average emissivity of 1.0, this flux corresponds to a temperature of 255 K (or -18°C).

Equilibrium is the state in which opposing forces or influences are balanced. This applies to a variety of fields including economics, chemistry, and physics. In economics, equilibrium is the point where the amount of goods and services supplied are equal to the amount of goods and services that are demanded.

To know more about Equilibrium
https://brainly.com/question/517289
#SPJ1

Answer:

If its twice as far the light will be twice as bright.

Explanation:

The instructions may result in the POW kits heating the water above the required temperature of 65°C for pasteurization.

The given statement suggests that if the instructions for operating the POW kits are followed correctly, the water will be heated above 65°C, which is the necessary temperature for pasteurization. However, it also mentions that some individuals did not adhere to the instructions. This implies that those who did not follow the instructions might have encountered issues in achieving the correct temperature for pasteurization. It is essential to carefully follow the instructions provided with the POW kits to ensure that the water is heated to the appropriate temperature, which is crucial for effectively pasteurizing the water and ensuring its safety.

learn more about temperature here:

https://brainly.com/question/15520591

#SPJ11

A

Mercury has the least substantial atmosphere among the given planets.

Mercury, the closest planet to the Sun, has a very thin and tenuous atmosphere. Its atmosphere consists mainly of atoms and molecules that have been blasted off its surface by the solar wind, rather than being generated from internal processes like on Earth. The atmosphere on Mercury is extremely sparse, with a surface pressure about 1 trillion times lower than Earth's atmospheric pressure.

Due to its weak gravitational pull, Mercury is unable to retain a significant atmosphere compared to other planets in the list.Among the given options, Mercury has the least substantial atmosphere

To know more about  Mercury ,visit:

https://brainly.com/question/30914360

#SPJ11

The statement given "a wave that travels from a medium of lower index of refraction to a medium of higher index of refraction undergoes 180° phase changes relative to the incident wave." is false because when a wave travels from a medium of lower index of refraction to a medium of higher index of refraction, it undergoes a phase change of 0° or a phase shift of less than 180° relative to the incident wave.

The phase change depends on the refractive indices of the two media and the angle of incidence. In general, when light passes from a less dense medium (lower index of refraction) to a denser medium (higher index of refraction), the wavefronts slow down and bend towards the normal, causing a change in direction but not necessarily a 180° phase change. The amount of phase change depends on the specific conditions of the interface between the two media.

You can learn more about refraction  at

https://brainly.com/question/27932095

#SPJ11

A 1100 kg automobile moving at 27.0 m/s begins to slack down and stops entirely at 578 m. The car is subjected to an average braking force of 694 N.

The friction between the brakes and the wheel produces work when a force is applied to a vehicle's brakes. The vehicle's kinetic energy is decreased, which slows it down and raises the temperature of the brakes.

The friction between the brakes and the wheel produces work when a force is applied to a vehicle's brakes. Therefore, the amount of braking power required to stop a vehicle over a given distance increases as the speed of the vehicle increases.

t = Time taken

u = Initial velocity = 27 m/s

v = Final velocity

s = Displacement = 578 m

a = Acceleration

m = Mass

Equation of motion:

\(v^{2} - u^{2} = 2as\)

⇒\(a = \frac{v^{2} - u^{2} }{2s}\)

⇒\(a = -0.63062 m/s^{2}\)

Force, F = ma

F = 1100 x -0.63062

F= - 693. 6851 N

Magnitude of force = 694 N

To learn more about braking force visit:

brainly.com/question/28966720

#SPJ4

it's C

because the faster an object moves the more kinetic energy it has.

The force F1 is equal and opposite to the downward force thus, F1 is equal to 60 N. The force F2 is inclined to 30 ° from leftward force and it is equal to 38.97 N in magnitude.

Force is an external agent acting on a body to deform it or to change its state of motion or rest. Force is a vector quantity and it is characterised by its magnitude and direction.

If two forces acting on a body from the same directions, then the net force will be the sum of these two forces. If they are acting from opposite directions, they will cancel each other in magnitude.

The force F1 is equal and opposite to the force acting downward. Thus its magnitude is 60 N. The force F2 is inclined to 30 ° from horizontal direction.

F2 = 45 cos 30 = 38.9 N.

To find more on force, refer here:

https://brainly.com/question/28875770

#SPJ1

Answer:

1000 N i think

Explanation:

As a consequence of Newton's third law, therefore, the ball also exerts an equal and opposite force of 1000 N (reaction) on the foot. When a soccer ball is kicked along the grass surface, there is always a force parallel, but opposite of the ball. However, friction can also happen when the ball is in the air.