it is estimated that the field at the center of the heart is 90 pt . what current must circulate around a 12- cm -diameter loop, about the size of a human heart, to produce this field? express your answer with the appropriate units.

Answers

Answer 1

A current of approximately 0.009 A must circulate around the 12 cm diameter loop (or 6 cm radius) to produce a magnetic field of 90 T at its center.

The magnetic field produced by a current-carrying loop can be calculated using Ampere's law. According to Ampere's law, the magnetic field (B) at the center of a circular loop is directly proportional to the current (I) circulating around the loop and inversely proportional to the radius (r) of the loop. Mathematically, this relationship can be expressed as B = (μ₀ × I) / (2 × π × r), where μ₀ is the permeability of free space, equal to 4π × 10^(-7) T·m/A.

In this case, we are given that the magnetic field at the center of the loop is 90 T and the diameter of the loop is 12 cm. To calculate the current required to produce this magnetic field, we need to convert the diameter to the radius by dividing it by 2, giving us r = 12 cm / 2 = 6 cm = 0.06 m. Plugging the values into the formula, we have 90 T = (4π × 10^(-7) T·m/A * I) / (2 × π × 0.06 m). Simplifying the equation, we find I = (90 T × 2 × π × 0.06 m) / (4π × 10^(-7) T·m/A), which yields I = 0.009 A.

Therefore, a current of approximately 0.009 A must circulate around the 12 cm diameter loop (or 6 cm radius) to produce a magnetic field of 90 T at its center.

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Related Questions

What is the field strength an object of mass 3. 3g is in to give the object a weight of 0. 96?

Answers

Field strength refers to the magnitude of the gravitational field strength or acceleration due to gravity. It is measured in newtons per kilogram (N/kg) and can be denoted by the symbol ‘g.' Field strength plays a vital role in calculating the weight of an object.

Object of mass 3.3g is in to give the object a weight of 0.96By using the formula of weight, we can calculate the field strength of an object. Weight (W) is the product of mass (m) and the acceleration due to gravity (g) of the object.W = m x gWhere,W = 0.96N (weight of the object)M = 3.3g (mass of the object)G = acceleration due to gravityWe know that 1N = 1000gTherefore, 0.96N = 960gUsing the above formula and substituting the given values,960g = 3.3g x gSolving for g, we get,g = 960g / 3.3gg = 290.91 N/kgTherefore, the field strength of an object with a mass of 3.3g that is required to give the object a weight of 0.96N is 290.91 N/kg.

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Final answer:

The field strength experienced by the object is 290.91 m/s².

Explanation:

The field strength an object experiences is determined by the gravitational force acting on it. The weight of an object is given by the equation w = mg, where w is the weight, m is the mass of the object, and g is the acceleration due to gravity.

Given that the weight of the object is 0.96 N, and the mass of the object is 3.3 g (or 0.0033 kg), we can use the equation w = mg to find the field strength (g). Rearranging the equation, we have g = w/m = 0.96 N / 0.0033 kg = 290.91 m/s².

So, the field strength experienced by the object is 290.91 m/s².

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how is an object's motion related to speed, velocity, and acceleration?

Answers

Answer:

Speed describes only how fast an object is moving, whereas velocity gives both the speed and direction of the object’s motion being a vector quantity. The standard unit to measure velocity is meter per second (m/s or ms-1). For example, “10 meters per second” is scalar and “10 meters per second West” is vector. Acceleration

1 Summarize image formation by a convex lens.

2 Summarize image formation by a concave lens.

3 Summarize the image formation by a concave mirror.

4 Summarize image formation by a convex mirror.

5 How is a concave mirror similar and different from a convex lens.

Answers

A convex lens forms an image by refracting light rays that pass through it. When parallel rays of light pass through a convex lens, they converge or come together at a point called the focal point.

1. The distance between the lens and the focal point is called the focal length. The image formed by a convex lens can be either real or virtual, depending on where the object is placed in relation to the focal point.
2. A concave lens, on the other hand, forms an image by diverging or spreading out light rays that pass through it. When parallel rays of light pass through a concave lens, they diverge or spread apart. The image formed by a concave lens is always virtual and smaller than the object.
3. A concave mirror forms an image by reflecting light rays that strike it. When parallel rays of light strike a concave mirror, they converge at a point called the focal point. The distance between the mirror and the focal point is called the focal length. The image formed by a concave mirror can be either real or virtual, depending on where the object is placed in relation to the focal point.
4. A convex mirror forms an image by reflecting light rays that strike it. When parallel rays of light strike a convex mirror, they diverge or spread apart. The image formed by a convex mirror is always virtual and smaller than the object.
5. A concave mirror and a convex lens are similar in that they both converge light rays. However, a concave mirror forms images through reflection, while a convex lens forms images through refraction. Additionally, a concave mirror can form both real and virtual images, while a convex lens can only form real images.

A convex lens converges light beams that are travelling parallel to its principal axis (the incident rays are pointed in the direction of the principal axis). A convex lens is also referred to as a converging lens because all of the light rays it bends eventually come together to form a picture at a single location. When an object is positioned in front of the focal point of a converging lens, a virtual image is created.

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a compound microscope has the objective and eyepiece mounted in a tube that is 18.0 cm long. the focal length of the eyepiece is 2.62 cm, and the near-point distance of the person using the microscope is 25.0 cm. if the person can view the image produced by the microscope with a completely relaxed eye, and the magnification is -4525, what is the focal length of the objective?

Answers

The focal length of the objective lens is approximately -11856.5 cm, based on the given information.

To determine the focal length of the objective lens, we can use the formula for the total magnification of a compound microscope, given by:

Magnification = -(focal length of the objective lens / focal length of the eyepiece)

Given that the magnification is -4525 and the focal length of the eyepiece is 2.62 cm, we can substitute these values into the formula to solve for the focal length of the objective lens.

-4525 = -(focal length of the objective lens / 2.62)

By cross-multiplying and solving for the focal length of the objective lens, we get:

focal length of the objective lens = (-4525 * 2.62) cm

Finally, to find the numerical value, we calculate:

focal length of the objective lens ≈ -11856.5 cm

Therefore, the focal length of the objective lens is approximately -11856.5 cm.

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which one is more important in science, qualitative or quantitative

Answers

Answer:

quantitative

Explanation: quantitative research is better for scientist.

A 455 kg cannon fires a 21 kg cannonball at 26 m/s. If the cannon is on wheels, at what velocity does it move backward?

Answers

Answer:

A cannon ball of mass 4.0 kg is fired from a stationary 96 kg cannon at 120 m/s. Calculate the velocity of the cannon immediately after firing.

total momentum of cannon and cannon ball before = 0 kg m/s - because neither object is moving

total momentum of cannon and cannon ball after collision = 0 kg m/s - because momentum is conserved

Momentum of cannon ball after firing = 4.0 × 120 = 480 kg m/s.

Momentum of cannon after firing = -480 kg m/s (because it recoils in the opposite direction and 480 - 480 = 0 kg m/s, the total momentum after collision).

Rearrange p = m v to find v:

v = p/m

v = 480 divided by 96

v = 5.0 m/s

Note that the forward velocity of the cannon ball was given a positive value. The negative value for the cannon's velocity shows that it moved in the opposite direction.

The Tesla Model S Electric vehicle can go from 0 to 60 mi/hr (26.8 m/s) in only 1.9 seconds! How far does it move from rest until it reaches 60 mi/hr? Round your answer to the nearest whole meter.

Answers

Answer:

The Tesla moves approx. 25 meters from rest before reaching 60 mi/hr

Explanation:

Given:

Initial velocity = 0 m/s

Final velocity = 26.8 m/s

Time = 1.9 seconds

Acceleration = change in velocity/time

\(a = \frac{26.8}{1.9}\)

The equation to find displacement (Δx) with given starting and final velocity, time, and acceleration is:

\(x = x_{0} + v_{0}t + \frac{1}{2} at^{2}\)

Starting position and initial velocity both equal 0, so

\(x = \frac{1}{2} at^{2}\)

\(x=\frac{1}{2} (\frac{26.8}{1.9})(1.9)^{2}\)

x = 25.46m

Rounded to the nearest whole number, x = 25m

One of the world's largest Ferris wheels, the Cosmo Clock 21 with a radius of 50.0 m is located in Yokohama City, Japan. Each of the sixty gondolas on the wheel takes 1.00 minute to complete one revolution when it is running at full speed. Note: Ignore gravitational effects. What is the centripetal acceleration of the gondola when the Ferris wheel is running at full speed

Answers

Answer:

a = 0.55 m / s²

Explanation:

The centripetal acceleration is given by the relation

         a = v² / r

angular and linear velocities are related

         v = w r

we substitute

          a = w² r

In the exercise they indicate the angular velocity w = 1 rev/min, let's reduce to the SI system

          w = 1 rev / min (2pi rad / 1rev) (1min / 60s) = 0.105 rad/ s

let's calculate

          a = 0.105² 50.0

          a = 0.55 m / s²

what is the weight of a 3.67kg ball?

Answers

Answer:

mass 3.67 kg, density 600 kg/m3) is fitted

with lead (density 1.14 * 10^4 kg/m3) so that it floats in water with

0.900 of its volume submerged. Find the lead mass if the lead is fitted

to the block’s (a) top and (b) bottom.

A vehicle starts from rest and accelerates uniformly for 12 seconds to a
velocity of 10ms1. It then runs at a constant velocity and is finally came to rest
in 66m with constant . The total distance covered by the vehicle is
580m. Find the value of acceleration and the time taken.

Answers

The value of the acceleration is 0.76 m/s² and the total time taken by the vehicle is 39 seconds.

Acceleration of the vehicle

The acceleration of the vehicle before coming to rest is calculated as follows;

v² = u² + 2as

where;

v is the final velocityu is the initial velocitya is the accelerations is the distance traveled before stopping

the car came to rest with constant velocity attained after 12 seconds.

the initial velocity of the car before 12 seconds is zero.

v² = 0 + 2as

a = v²/2s

a = (10²)/(2 x 66)

a = 0.76 m/s²

Time of motion of the vehicle

d = ut + ¹/₂at²

where;

d is the total distance traveledt is the time of motiona is accelerationu is initial velocity of the vehicle

580 = 0 + ¹/₂(0.76)t²

580 = 0.38t²

t² = 580/0.38

t² = 1,526.3

t = √1,526.3

t = 39 seconds

Thus, the value of the acceleration is 0.76 m/s² and the total time taken by the vehicle is 39 seconds.

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What is the magnitude of the amplitude of a spring-mass system where the angular frequency is π rad/s, and the mass is at 4 cm at 1 second? (Assume you are starting to measure time (t = 0) at maximum displacement.)
a. 1 cm
b. 8 cm
c. 4 cm
d. 3 π / 4 cm

Answers

The equation for the displacement of a spring-mass system is given by x = A cos(ωt + φ), where A is the amplitude, ω is the angular frequency, t is time, and φ is the phase angle. We know that the angular frequency is π rad/s and that the mass is at a displacement of 4 cm at 1 second.

At t = 1 second, we have x = 4 cm and t = 1 second. Plugging these values into the equation, we get:

4 cm = A cos(π + φ)

We also know that we are starting to measure time at maximum displacement, which means that at t = 0, x = A. This means that cos(φ) = 1,

which simplifies our equation to:

4 cm = A cos(π)

cos(π) = -1, so we have:

4 cm = -A

Solving for A, we get:

A = -4 cm

However, we know that the amplitude must be a positive value, so we take the absolute value of A:

|A| = 4 cm

Therefore, the magnitude of the amplitude of the spring-mass system is 4 cm.

The answer is c. 4 cm.

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8) The weight of a pony standing still on Earth is 1025N.
What is the pony's mass?
A)
m=
g
g
1025 N
9.8 m/s²
JP
C) Where will the pony weigh the least (Moon, Jupiter, impossible)?
pick one of these three
D) Where will the pony have less mass (Moon, Jupiter, impossible)?
pick one of these three

Answers

Explanation:

mass = newton ÷ g

m = 1025 ÷ 10

mass= 102.5kg

In an experiment, a ringing bell is placed in a vacuum jar that does not have any air in it. What best describes why the bell is seen vibrating but not heard?

Answers

Answer:

C. Light does not need a medium to travel through, but since sound waves must have a medium to vibrate, sound is not created where no air is present.

Explanation:

The reason the bell is seen to vibrate but not heard is that unlike light, which does not require a medium to pass through, sound waves require an air-filled space in order to vibrate. Option C is correct.

What is a sound wave?

A sound wave is produced when a medium begins to vibrate. When an entity vibrates, a pressure wave is formed, which causes sound.

Light does not need a medium to travel through, but since sound waves must have a medium to vibrate, the sound is not created where no air is present best describes why the bell is seen vibrating but not heard.

The complete question is attached.

Hence option C is correct.

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In an experiment, a ringing bell is placed in a vacuum jar that does not have any air in it. What best

What is the force of sliding?

Answers

The force of sliding is the force required to keep an object moving at a constant velocity while it is sliding on a surface.

When an object is sliding on a surface, it experiences a force of friction that acts opposite to its direction of motion. This force of friction is what keeps the object moving at a constant velocity, rather than accelerating or decelerating.

The magnitude of the force of friction depends on the properties of the two surfaces in contact, such as their roughness and the type of material they are made of, as well as the normal force, which is the force exerted perpendicular to the surface. If the object is moving at a constant velocity, the force of friction is equal in magnitude to the force applied to the object, but opposite in direction.

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A construction worker uses a crane to vertically lift an object weighing 2000 N to the top of a platform at a constant rate. If it takes 30 seconds to lift the object 150 meters, what is the rate of energy consumed by the motor in the crane?A. 5.0 kWB. 8.0 kWC. 10.0 kWD. 12.0 kW

Answers

The rate of energy consumed by the motor in the crane is 10 kW, which corresponds to option C. 10.0 kW.

First, we need to calculate the work done by the crane to lift the object to the top of the platform. Work = force x distance, so work = 2000 N x 150 m = 300,000 J.

Next, we can calculate the power (rate of energy consumption) using the formula Power = Work / Time. Power = 300,000 J / 30 s = 10,000 W = 10.0 kW.

Therefore, the answer is C. 10.0 kW.
To calculate the rate of energy consumed by the motor in the crane, we'll first find the work done and then divide it by the time taken.

Work done (W) = Force (F) x Distance (d)
W = 2000 N x 150 m
W = 300,000 J (joules)

Now, we'll find the power (P) by dividing the work done by the time taken (t).

Power (P) = Work done (W) / Time (t)
P = 300,000 J / 30 s
P = 10,000 W

Since 1 kW = 1000 W, we can convert the power to kilowatts:
P = 10,000 W / 1000
P = 10 kW

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Which depiction of changing chemical compounds best describes the flow of nitrogen from the atmosphere, through the nitrogen cycle, and back into the atmosphere?

Answers

The depiction of changing chemical compounds that best describes the flow of nitrogen from the atmosphere, through the nitrogen cycle, and back into the atmosphere is N2 → NH4+ → NO3- → N2

Ammonification: The formation of ammonia or its compounds from nitrogenous compounds, especially as a result of bacterial decomposition. It is given by this equation: N2 → NH4+

Nitrification: The biological oxidation of ammonia with oxygen into nitrite followed by the oxidation of these nitrites into nitrates. It is given by this equation: NH4+ → NO3-

De-nitrification: A microbially facilitated process of nitrate reduction that may ultimately produce molecular nitrogen (N2) through a series of intermediate gaseous nitrogen oxide products.

NO3- → N2

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an airplane travels at 165 km/hr for 3 hr in a direction of 174 degrees from the local airport in sugar land . at the end of this time , how far east of the airport is the. plane

Answers

An airplane travels at 165 km/hr for 3hr in a direction of 174 degrees from the local airport in sugar land . To determine how far east of the airport the plane is, we can break down the velocity of the plane. At the end of the 3-hour travel time, the plane is approximately 157.59 km west of the airport in Sugar Land.

To determine how far east of the airport the plane is, we can break down the velocity of the plane into its eastward and northward components using trigonometry.

Given:

Speed of the plane = 165 km/hr

Time of travel = 3 hours

Direction from the airport = 174 degrees

First, we need to find the eastward component of the velocity. This can be calculated using the formula:

Eastward component = Velocity * cos(angle)

Eastward component = 165 km/hr * cos(174 degrees)

Next, we need to find the northward component of the velocity. This can be calculated using the formula:

Northward component = Velocity * sin(angle)

Northward component = 165 km/hr * sin(174 degrees)

Now, we can calculate the distance east of the airport using the formula:

Distance east = Eastward component * Time of travel

Distance east = (165 km/hr * cos(174 degrees)) * 3 hours

Using a scientific calculator, we find:

Distance east ≈ -157.59 km

The negative sign indicates that the plane is west of the airport, which means it is 157.59 km west of the airport.

It's important to note that the direction of 174 degrees is measured clockwise from the north, where east is 90 degrees. Therefore, an angle of 174 degrees corresponds to a direction west of north.

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A 250 Kg cast iron car engine contains water as a coolant. Suppose the temperature of the engine is 35°C when it is shut off. The air temperature is 10°C. The heat given off


by the engine and water in it, as they cool to air temperature is 4. 4x106 J. What mass of water is used to cool the engine?

Answers

Approximately 14.58 Kg of water is used to cool the 250 Kg cast iron car engine.

To find the mass of water used to cool a 250 Kg cast iron car engine, we must consider the heat given off by the engine and water as they cool to air temperature.

Given that the engine's initial temperature is 35°C, and the air temperature is 10°C, the heat given off is 4.4 x 10^6 J.

First, we will calculate the heat given off by the engine alone:

Q_engine = m_engine * c_engine * ΔT_engine

where:

Q_engine = heat given off by the engine

m_engine = mass of the engine (250 Kg)

c_engine = specific heat capacity of cast iron (approximately 460 J/Kg°C)

ΔT_engine = change in temperature of the engine (35°C - 10°C = 25°C)

Q_engine = 250 Kg * 460 J/Kg°C * 25°C

Q_engine = 2,875,000 J

Next, we will find the heat given off by the water (Q_water) by subtracting the heat given off by the engine from the total heat given off:

Q_water = Q_total - Q_engine

Q_water = 4.4 x 10^6 J - 2,875,000 J

Q_water = 1,525,000 J

Now, we will find the mass of water (m_water) using the equation:

Q_water = m_water * c_water * ΔT_water
where:

c_water = specific heat capacity of water (4,186 J/Kg°C)

ΔT_water = change in temperature of the water (25°C)

1,525,000 J = m_water * 4,186 J/Kg°C * 25°C

m_water = 1,525,000 J / (4,186 J/Kg°C * 25°C)

m_water ≈ 14.58 Kg

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The vector 2A has
A. twice the magnitude and opposite
direction as vector A.
B. same magnitude and twice the direction
of vector A.
C. twice the magnitude and twice the
direction of vector A.
D. twice the magnitude and the same
direction as vector A.

Answers

Answer:

show vector 2A and maybe i can help

Explanation:

If the velocity of money and real gdp are fixed, then the quantity theory of money implies that the price level will:_____.

Answers

Increase at the same rate as the growth in the money supply.

What is quantity theory?

One of the schools of Western economic thinking that evolved in the 16th and 17th century in monetary economics is the quantity theory of money. According to the QTM, the overall level of prices for goods and services is inversely correlated with the money supply.

Keynesian economists contested the idea, but Milton Friedman and the monetarist school of thought updated and revitalised it. The direct correlation between the money supply and price level does not hold, according to the theory's detractors, since money velocity is unstable and prices are sticky in the short term. According to conventional macroeconomic theory, the CPI-based measure of inflation is unaffected by changes in the money supply.

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Please help me with this. Which one of the Bohr models is correct? Are both models correct?

Please help me with this. Which one of the Bohr models is correct? Are both models correct?

Answers

Bohr explains that the atom consists of a nucleus which contains protons and neutrons in it and electrons revolve around the nucleus in different orbits. The nucleus is positively charged and electrons revolving around are negatively charges.

According to Bohr's model of atom, there are different number of shells in which electrons revolve. The shells are named as K, L, M, N... According to Bohr's model, K shell which is lowest shell can only have two electrons in its orbit. Therefore, Bohr's model shown in 1. is correct as it has only two electrons in K shell.

The speed of an object changes only when it is acted on by an unbalanced force.
True
False

Answers

True

I think the statement is true

What is the height to which the spans rise when they buckle

What is the height to which the spans rise when they buckle

Answers

Assuming each concrete span is half the length of the bridge, so 195 m

ΔL = αLΔT,

where,

ΔL: change in length

α: coeff. of thermal expansion

L: current original length

ΔT: change in temperature

We need to look at each span individually.

Let's fill in the variables we know:

L = 195 m

α = 1.2*10^-5 /C

ΔT = 20 C

ΔL = (1.2*10^-5)(195)(20)

ΔL = 0.0468 m, this is how much each span expands.

Now, we can form a triangle with the original length of each span, the new length of each span, and the rise due to buckling.

L0 = 195

Ln = 195 + 0.0468 = 195.0468

Now that we have two of the three sides of the triangle, we can solve for the last side, h.

Pythagorean theorem:

195^2 + h^2 = 195.0468^2

Solving for h,

h = 4.272 m

What is the height to which the spans rise when they buckle

A man lifts a bucket of water from a well that is 7 meters deep. The bucket and water together weigh 50 Newtons. He turns the crank handle with a force of 5 Newtons. The effort force is blank. (Fill in the blank)
A) 70 meters
B) 5 N
C) 50 N
D) 25 N

Answers

Answer:

Work = Work out

Work in = 5 N * d     where d is the distance the handle travels

Work out = 50 N * 7 m = 350 Joules

d = 50 N * 7m / 5 N = 70 m

This is the distance traveled by the force of 5 N

A man lifts a bucket of water from a well that is 7 meters deep. The bucket and water together weigh 50 Newtons. He turns the crank handle with a force of 5 Newtons. The effort force is 70 Newtons.

What is Effort force?

If a force is applied for a machine to move or change the position of the object is known as Effort force.

The effort force formula can be described as,

Fe = Fl. dl / de

Fe is effort force (N, lb)

Fl is load force (N, lb) (note that weight is a force)

dl is distance from load force to fulcrum (m, ft)

de is distance from effort force to fulcrum (m, ft)

Here, the given data to find the effort force is,

Fl =50 Newtons

dl = 7 meters

de = 5 Newtons.

Substituting all the values, we get,

Fe = 350/5

Fe = 70 Newtons.

Thus, the effort force is 70 Newtons.

Hence, Option A is the correct answer.

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What type of system would allow light to enter and exit, but would keep any
additional atoms out?

Answers

An isolated system , it does not allow any matter or energy to be exchanged

Answer: it’s closed

Explanation: a pex

A 175 kg motorcycle has 6. 8 x 10^J of kinetic energy. How fast is it going?​

Answers

The motorcycle is going approximately 8.81 m/s.

To calculate the speed of the motorcycle, we can use the formula for kinetic energy:

Kinetic energy = 1/2 * mass * velocity^2

Given that the mass of the motorcycle is 175 kg and the kinetic energy is 6.8 x 10^3 J, we can rearrange the formula to solve for velocity:

6.8 x 10^3 J = 1/2 * 175 kg * velocity^2

Simplifying the equation:

13.6 x 10^3 J = 175 kg * velocity^2

Dividing both sides by 175 kg:

13.6 x 10^3 J / 175 kg = velocity^2

77.7 m^2/s^2 = velocity^2

Taking the square root of both sides to solve for velocity:

velocity = √(77.7 m^2/s^2)

velocity ≈ 8.81 m/s

Therefore, the motorcycle is going approximately 8.81 m/s.

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In 1-2 sentences, summarize what can be said about the force produced by the engine in Rocket A compared to Rocket B, based on Newton’s Second Law of Motion.

Answers

Hello,

I hope you and your family are doing well!

Newton's Second Law of Motion states that the force produced by an engine is equal to the mass of the rocket times its acceleration. The greater the force produced by the engine, the greater the acceleration of the rocket.

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Happy Holidays!

What is the mass of an object if a force of 48 Newtons produces an acceleration of 6 m/s2?

Answers

Answer:

m = 8 kg

Explanation:

According to Newton's second law of motion, F = ma.

Solving for m using algebra:

m = F ÷ a

m = 48 N ÷ 6 m/s² = 8 kg

Two birds have the same mass but one has bigger feet. How would pressure that they produce on the ground be different ?

Answers

Answer:

the pressure per square inch is greater from the smaller feet.

Explanation:

different weight distribution

lighting converts ... energy, into ... energy.

Answers

Explanation:

lighting converts heat energy.

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find the tangential and normal components of the acceleration vector. r(t) = 5(3t t3) i 15t2 j can all organisms use sunlight to produce chemical energy stored as glucose and oxygen SpanishTranslate food the law that established national standards for the electronic exchange of protected health information is: Given that Jocelyn saved $60 in 8 weeks, predict the number of weeks it will take Jocelyn to save $90. Include in your explanation any assumptions that must be made in order to make the prediction. Enter your explanation in the space provided. Show the problem worked- If it takes 2 people 60 hours to build a fence, how long will it take 3 people to do the same job? One 8-year-old cousin could not make it to the reunion. Select all the ways the measures of center of the data set change if she had attended the reunion L The median increases by 1 The mean decreases by 0.5 The mode decreases by 1 The median decreases by 0.5 The mean increases by 0.5 For the polynomial function find the following: (i) Degree of the polynomial; (ii) All intercepts; (iii) The intercept.y = x^2 + 169Degree of a Polynomial:When our polynomial is written in expanded form, we can determine its degree by stating the highest exponent on our variable. If our polynomial is factored, the degree is instead equal to the sum of the number of factors, though if any factor is taken to an exponent, we count that factor as many times as indicated by the value of the exponent. In which of the following fieldswould you find the least amountof process writing?A. English LiteratureB. MathC. Science 15. How do Bill and Jenny feel about slaves being sold? (Use a quote in youranswer.) book: chains draw a diagram of cranium Is matchsticks biodegradable federal reconstruction efforts produced which of the following outcomes for both freed slaves and poor white citizensa) Increase bitterness at northern interferenceb) decreased support for the democratic partyc) expanded access to public educationd) declining support for racial hierarchies If you use a check to pay your monthly rent, A. the check is not money because it is not part of M1. B. you have used money because the landlord accepted it as a means of payment. C. the check is considered money because you received something in return. D. the check becomes money when it arrives at the landlord's bank. E. the check is not money because it is just an instruction to your bank to make a payment Drivers must understand that the traffic laws Help meeeee hurryyyy .. Eugene wants to ride his bike at least 40 miles today. The first hour wasmostly downhill, and he rode 13 miles. He has 3 more hours to ride.Write and solve an inequality to find how many miles per hour Eugeneneeds to ride to meet his goal. Must i argue the wrongfulness of slavery? is that a question for republicans? is it to be settled by the rules of logic and argumentation, as a matter beset with great difficulty, involving a doubtful application of the principle of justice, hard to be understood? what do the rhetorical questions in the excerpt suggest? What was one example of America's use of the "big stick" policy? The amount of money that Tom had in his pension fundin 2016 was 55 000.His plans involve him putting 8 200 in his fund every yearfor the next 15 years.How much will Tom have in the pension fund in 2031?