A bike takes 6 s to accelerate from 10 m/s
to 14 m/s. The mass of the bike and its
rider is 90 kg. Find the net force and the
final momentum of the bicyclist.

Answers

Answer 1

Answer:

Explanation:

F = ma = mΔv/Δt = 90(14 - 10) / (6 - 0) = 60 N

p = mv = 90(14) = 1,260 kg•m/s (for bicyclist AND bike together)


Related Questions

Newton's second law says that when an___force is applied to a___ it causes it to____

Answers

Answer:

Newton's second law says that when an unbalanced force is applied to a mass it causes it to accelerate

Explanation:

please help not sure what it would be

please help not sure what it would be

Answers

The answer is m ≥ d μ g / v^2.

How did we arrive at this value?

To keep the sled moving in a circular path, the force of tension in the string must be equal to the centripetal force on the sled. Let T be the tension in the string and v be the speed of the sled. Then, the centripetal force is:

F_c = m v^2 / d

Since the string passes through the center of the pole, the vertical component of tension T_v balances the weight of the snowman and sled, which is m g, where g is the acceleration due to gravity. Therefore:

T_v = m g

The horizontal component of tension T_h provides the centripetal force. The horizontal displacement of the bear is L - d, so the magnitude of T_h is:

T_h = F_c = m v^2 / d

The maximum value of static friction is μ times the normal force, which in this case is equal to T_v. Therefore, the maximum value of static friction is:

f_s = μ T_v

For the motion to be possible, the horizontal component of tension T_h must be less than or equal to the maximum value of static friction f_s. Therefore:

T_h ≤ f_s

Substituting the expressions for T_h and f_s, we get:

m v^2 / d ≤ μ m g

Solving for the minimum mass of the bear, m, we get:

m ≥ d μ g / v^2

The answer: m ≥ d μ g / v^2.

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A factory is closing in 15 minutes. A box on one of the factory's conveyor belts is 8meters from a storage area and is moving at a constant velocity of 40metersperminute down the conveyor belt. How long will it take the box to get to the storage area?

Answers

The time taken for the box to get to the storage area, given that the box is moving at a constant velocity of 40 meters per minute is 0.2 minutes

How do i determine the time taken?

Speed is defined as the distance travelled per time as shown below:

Speed = Distance / time

Cross multiply

Speed × time = distance

Divide both sides by speed

Time = Distance / speed

The following data were obtained from the question:

Distance from storage area = 8 metersConstant  speed of box = 40 meters per minuteTime taken =?

The time take can be obtained as follow:

Time = Distance / speed

Time = 8 / 40

Time = 0.2 minutes

Thus, the time taken to get the storage area is 0.2 minutes

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1.
The momentum of a 5-kilogram object moving at
6 meters per second is
A. 1 kg • m/sec
B. 5 kg • m/sec
C. 11 kg • m/sec
D. 30 kg. m/sec

Answers

Answer:

D

Explanation:

Momentum= mass x speed (P=MV)

Momentum= 5x6=30

Momentum= 30kg m/s

The momentum of the 5-kilogram object moving at 6 meters per second is 30 kg•m/s. Thus the correct answer is (D) 30 kg•m/sec.

What is the momentum of an object?

It is an attribute of a moving body that exists due to its mass and motion and is equal to the product of the body's mass and velocity.

Mathematically, momentum (p) can be expressed as:

p = m × v

Where:

p = momentum

m = mass

v = velocity

As per the question, the mass of the object is 5 kg and its velocity is 6 m/s.

Therefore, the momentum of the object can be calculated as:

p = m × v

p = 5 kg × 6 m/s

Apply the multiplication operation, then we get

p = 30 kg•m/s

Therefore, the momentum of the 5-kilogram object moving at 6 meters per second is 30 kg•m/s.

So, the correct answer is (D) 30 kg•m/sec.

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(1) Thevelocity of a plantier is given by V(t) = 20t² - 100€ + 5got a, when will the accteration of a particle is zero by what the velocity of the Particles when its acceleration is zero​

Answers

Answer:

I really don't want to go out for a week and I deserve to be wit me she said that she would have been able even better then again this year moma and she was the one that was earlier than you and my parents are going through a tough time and it was broken down into the last time I was coming from but I see an feel a lot of hate

Explanation:

no exceptions

A team in Quebec is playing ice baseball. A 72 kg player who is initially at rest catches a 145 g ball traveling at 18 m/s. If the player's skates are frictionless, how much time is required for him to glide 5 m after catching the ball?

Answers

The time required for the player to glide 5m after catching the ball would be 0.073 seconds.

What is conservation of momentum principle?

The conservation of momentum principle states that in an isolated system (one in which there are no external forces acting on it), the total momentum of the system will remain constant. This principle is based on the law of conservation of energy, which states that energy cannot be created or destroyed, only transferred or transformed.

To calculate the time required for the player to glide 5m after catching the ball, we need to use the conservation of momentum principle.

The initial momentum of the system (player + ball) is 0, since the player is at rest. After catching the ball, the final momentum of the system is (72 kg) (0 m/s) + (0.145 kg) (18 m/s) = 2.61 kg m/s.

To find the final velocity of the player, we can use the equation:

Final momentum = Initial momentum + Impulse

where Impulse = force x time

The force is equal to the change in momentum of the system divided by the time it takes for the change to occur.

So, Impulse = (2.61 kg m/s - 0) / t

Also, the impulse is equal to the mass of the player multiplied by the change in velocity of the player.

So, (72 kg) (change in velocity of the player) = (2.61 kg m/s - 0) / t

Now we can calculate the time it takes for the player to glide 5m.

change in velocity = final velocity - initial velocity = 5/t

(72 kg) (5/t) = 2.61 kg m/s

t = (2.61 kg m/s) / (72 kg × 5 m/t) = 0.073 seconds

So, the player will glide 5m after catching the ball in 0.073 seconds.

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1. What is the relationship between electricity and magnetism?

Answers

Answer:

Electricity and magnetism are two related phenomena produced by the electromagnetic force. Together, they form electromagnetism. A moving electric charge generates a magnetic field. A magnetic field induces electric charge movement, producing an electric current.

Magnetism and electricity involve the attraction and repulsion between charged particles and the forces exerted by these charges. The interaction between magnetism and electricity is called electromagnetism. The movement of a magnet can generate electricity. The flow of electricity can generate a magnetic field.

ayuden ha resolver este ejercicio porfa​

ayuden ha resolver este ejercicio porfa

Answers

Answer:

un café y a seguir pensando porque no se la respuesta xd

In Figure, a bird changes direction in 2.8 s while flying from point 1 to point 2. Determine the bird’s average acceleration. Hint: Use component method.

In Figure, a bird changes direction in 2.8 s while flying from point 1 to point 2. Determine the birds

Answers

In Figure, a bird changes direction in 2.8 s while flying from point 1 to point 2. The bird’s average acceleration is 0.55 m/\(s^{2}\) . This is done by component method.

What is component method ?

To calculate the overall length of the horizontal side of the right triangle, this usually entails summing all the horizontal components. and calculating the overall length of the right triangle's vertical side by adding all of its vertical components.

change in speed of bird = (8.5-6.4) m/s = 2.1 m/s

average acceleration = \(\frac{change in speed}{change in time}\)

change in time = 2.8 seconds

assigning values ,

average acceleration = 0.55 m/s

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A 1 kg glass bowl at 30°C is placed in a freezer. How much heat must the freezer remove from the bowl to take its temperature to 0°C? (cglass = 0.2cal/g•°C)

Answers

According to the question the heat required to take the bowl's temperature to 0°C is 6,000 cal.

What is temperature?

Temperature is a measure of the amount of heat energy present in a substance or object. It is measured using a thermometer or other temperature-measuring device. Temperature is usually expressed in degrees Celsius (°C), or sometimes in Kelvin (K). It is an important physical property that affects many physical, chemical, and biological processes. Temperature affects the rate of chemical reactions, the solubility of substances, and the speed of sound and light.

The heat required to take the temperature of the 1 kg glass bowl from 30°C to 0°C can be calculated using the specific heat capacity of glass, cglass, and the change in temperature, ΔT.

The equation to calculate heat is given by:

Heat = Mass * cglass * ΔT

Therefore, the heat required to take the bowl's temperature to 0°C is:

Heat = 1 kg * 0.2cal/g•°C * (30°C - 0°C)

Heat = 6,000 cal

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The following images show five planets in our solar system. rank these planets from left to right based on their average surface (or cloud-top) temperature, from highest to lowest. (not to scale.)

The following images show five planets in our solar system. rank these planets from left to right based

Answers

The order of the average surface temperature of the given planets as Mercury, Earth, Mars, Jupiter, and Neptune based on their distance from the sun.

What is the solar system?

The Solar System can be described as the gravitationally bound system of the Sun and the plants are the objects that orbit it. The solar system is formed 4.6 billion years ago from the gravitational collapse of a giant interstellar cloud.

Most of the mass of the solar system is contained in the Sun and the remaining mass is in the planet Jupiter. The four inner planets Mercury, Venus, Earth, and Mars are terrestrial planets, made primarily of rock and metal.

The two largest planets Jupiter and Saturn, are gas giants, made mainly of hydrogen and helium. The next two, Uranus and Neptune, are ice giants, made of volatile substances with hydrogen and helium, such as ammonia, water, and methane.

The average surface temperature of Mercury is 333°F (167°C), Earth 59°F (15°C), Mars -85°F (-65°C), Jupiter -166°F (-110°C), and Neptune -330°F (-200°C)

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If a pitch were thrown horizontally with a speed of 32.0 , how far would the ball fall vertically by the time it reached halfway to the home plate which is 19 away?

Answers

Once it was halfway to home plate, the ball would have dropped 1.75 meters vertically.

What is speed?

How quickly anything is traveling is determined by its speed. The amount of space covered in a given amount of time is a scalar quantity. Calculating speed involves dividing the distance traveled by the time needed to complete that distance.

How do you determine it?

The vertical displacement of the ball when it is halfway to home plate can be calculated using the equations of motion, assuming the pitch is delivered on a level field.

Gravitational acceleration is -9.81 m/s2 and the pitch's initial vertical velocity is zero. How long does it take for the pitch to go halfway to home plate?

t = d/v

t = 19 m / (32.0 m/s)

t = 0.594 s

The formula d = vit + 1/2at2 d = 0 + 1/2(-9.81 m/s2) *(0.594 s)2 d = -1.75 m can be used to determine the vertical displacement of the ball during this time.

The ball falls downhill vertically as expected, as indicated by the negative sign. Once it was halfway to home plate, the ball would have dropped 1.75 meters vertically.

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A toy cars engine pushes it forward at a constant speed. What happens if the force provided by the engine decreases?

Answers

If the force provided by the engine of a toy car decreases, the car will slow down and eventually come to a stop.

1. The force provided by the engine of a toy car is responsible for propelling it forward at a constant speed. This force overcomes any friction or resistance acting on the car.

2. When the force provided by the engine decreases, there is a reduction in the overall force acting on the car. As a result, the force can no longer counteract the resistance and friction effectively.

3. The resistance and friction acting on the toy car, such as air resistance and the friction between the wheels and the surface, start to have a greater impact on the car's motion.

4. With a reduced force from the engine, the car begins to slow down gradually. The deceleration occurs because the opposing forces now have a greater influence on the car's motion.

5. As the force continues to decrease, the opposing forces eventually surpass the remaining force from the engine. Consequently, the toy car slows down even more and eventually comes to a complete stop.

6. If the force provided by the engine becomes extremely low or nonexistent, the opposing forces will completely overpower the forward force, causing the toy car to stop moving altogether.

In summary, when the force provided by the engine of a toy car decreases, the car's speed decreases, and it eventually comes to a stop due to the increased influence of opposing forces.

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need some help plsss!

need some help plsss!

Answers

Answer:

1and4attract and1and 2repel

1. The kinetic energy of a car is 8  106 J as it travels along a horizontal road. How much work is required to stop the car in 10 s? (A) zero joules (B) 8  105 J (C) 8  107 J (D)8  104 J (E) 8  106 J​

Answers

The power to stop the car with kinetic energy of a car is  \(8*10^{6} J\) as it travels along a horizontal road is  \(8*10^{5} watt\), option B

What is Kinetic energy ?

Kinetic energy can be seen as one that is been recorded when an object is able to move from a place , in a broad term we can say this is the energy that can be attributed to that of someone leaving a place and go to another place hence we can see it as the one in the motion.

The definition of energy as the "power to accomplish work" refers to the capacity to apply a force that moves an object. Even if the word is vague, it is clear what energy actually means: it is the force that causes objects to move. The two types  can be attributed to the one we know which are kinetic and potential energy.

\(Power \frac{Energy}{time}\)

\(Energy = 8*10^{6} J\)

\(time = 10 s\)

\(Power = \frac{8*10^{6} J}{10}\)

\(power = 8*10^{5} watt\)

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proper question;

The kinetic energy of a car is 8 × 106 J as it travels along a horizontal road. How much power is required to stop the car in 10 s? (A) zero joules (B) 8  105 J (C) 8  107 J (D)8  104 J (E) 8  106 J​

Two pieces of clay, one white and one gray, are thrown through the air. The
m
white clay has a momentum of 25 kg, and the gray clay has a
S
momentum of -30 kg immediately before they collide.
What is the magnitude and direction of their final momentum immediately
after the collision?
Your answer should have one significant figure.
h
kg.
m
-
m
S
S

Two pieces of clay, one white and one gray, are thrown through the air. Themwhite clay has a momentum

Answers

we can't give a specific direction for the final momentum.

What is momentum?

Momentum is a physical quantity that describes the motion of an object. It is defined as the product of an object's mass and its velocity. Mathematically, momentum is expressed as:

Momentum (p) = mass (m) x velocity (v)

p = m x v

To solve this problem, we need to apply the law of conservation of momentum, which states that the total momentum of a system remains constant if no external forces act on it.

The initial total momentum of the system is:

p_initial = p_white + p_gray = 25 kg m/s - 30 kg m/s = -5 kg m/s

Since there are no external forces acting on the system, the total momentum of the system after the collision must also be -5 kg m/s. Therefore, the final momentum of the system is:

p_final = -5 kg m/s

The direction of the final momentum can be found by looking at the directions of the initial momenta. Since the white clay has positive momentum and the gray clay has negative momentum, we can say that the white clay is moving to the right and the gray clay is moving to the left before the collision.

During the collision, the two clays will exert forces on each other, causing them to change direction and possibly even break apart. Without more information about the collision, we can't say for sure what the direction of the final momentum will be. It could be to the left or to the right, or some combination of the two. Therefore, we can't give a specific direction for the final momentum.

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Assume that one object collides with a second object that is at rest. In which of the following scenarios would you expect that momentum would not be conserved?

a) When both objects move in the direction of initial motion after colliding.

b) When the objects move in opposite directions after colliding (the second object moves in the direction of initial motion, the first object moves in the reverse direction).

c) When the objects stick together after colliding.

d) When there is an external force (like friction) acting on the objects in the system.

Answers

The momemtum is not conserved in scenario d.

What is momentum?

Momentum of an object is the product of its mass and velocity.

How to determine In which of the following scenarios would you expect that momentum would not be conserved?

To determine in which of the conditions in which momentum is not conserved, we need to know the law of conservation of momentum.

What is the law of conservation of momentum?

The law of conservation of momentum states that as long as no external force acts on a system, the total momentum of the system of two colliding objects is conserved.

If we consider scenarios a, b and c, we see that no external force acts on the system of two objects in the three instances so, the total momentum is conserved.

In scenario d, an external force acts on the system, so total momentum is not conserved since according to the law of conservation of momentum, total momentum is only conserved when there is no external force acting on a system.

So, the momemtum is not conserved in scenario d.

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answer the question in the picture

answer the question in the picture

Answers

The option that represents what the magnetic field look like above the North pole is an arrow that decreases as we go up and points up (E)

How to explain the information

The magnetic field lines of a magnet point away from the north pole and towards the south pole. The field lines are strongest at the poles and weaken as you move away from the poles.

So, the arrow that represents the magnetic field above the north pole will be pointing up, but it will become smaller and smaller as you go up.

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3). If you record a light wave at 400 nm long, what is its frequency?
Pleassee helppp!!

Answers

Answer:

Violet light has a wavelength of ~400 nm, and a frequency of ~7.5*1014 Hz.

Explanation:

A(n) 1252 kg car is coasting along a level
road at 29.7 m/s. A constant braking force
is applied, such that the car is stopped in a
distance of 69.9 m.
What is the magnitude of the braking force?
Answer in units of N

Answers

The magnitude of the braking force of the car of mass 1252 kg is 265.98 N.

What is force?

Force can be defined as the product of mass and acceleration.

To calculate the magnitude of the braking force, we use the formula below.

Formula:

F = m(v²-u²)/2s............. Equation 1

Where:

F = Force from the brakem = Mass of carv = Final velocityu = Initial velocitys = Distance

From the question,

Given:

m = 1252 kgv = 0 m/su = 29.7 m/ss = 69.9 m

Substitute these values into equation 1

F = 1252(0-29.7)/(69.9×2)F = 37184.4/139.8F = 265.98 N

Hence, the magnitude of the braking force is 265.98 N.

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Earth rotate once every 24 hours. In a reference frame fixed to Earth, how far does
a point on the equator move in 1 hour? RE = 6.34×106 m

Answers

In a reference frame fixed to Earth, a point on the equator moves zero distance in 1 hour.

What is the frame of reference?

A frame of reference in physics is made up of an abstract coordinate system and the collection of physical reference points that fix the coordinate system specifically and regulate measurements inside it.

When we take a reference frame fixed to Earth,  the displacement due to earth's rotation can not be measured. So, any point on earth remains in rest through out the day with respect to the reference frame fixed to Earth. Hence, a point on the equator moves no distance in 1 hour in a reference frame fixed to Earth.

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The purpose of the chiller is to
A. remove heat from the air.
B. cool conditioned air.
C. distribute the refrigerant.
D. cool warmed water.

Answers

The purpose of the chiller is to remove heat from the air and is therefore denoted as option A.

What is a Chiller?

This is a type of device which is referred to as type of a cooling system that removes heat by circulating heat-absorbing a refrigerant through a series of mechanisms through which the heat is released.

The result of this process is that the heat in the air is removed as a result of the refrigerant being adequately circulated and then the environment becomes cooler and is therefore the reason why it was chosen as the correct choice.

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On a warm summer day, a large mass of air (atmospheric pressure 1.01×105Pa) is heated by the ground to a temperature of 25.0 ∘C and then begins to rise through the cooler surrounding air. Calculate the temperature of the air mass when it has risen to a level at which atmospheric pressure is only 8.70×104 Pa. Assume that air is an ideal gas, with γ=1.40. (This rate of cooling for dry, rising air, corresponding to roughly 1 ∘C per 100 m of altitude, is called the dry adiabatic lapse rate.)

Answers

The temperature of the air mass when it has risen to a level at which atmospheric pressure is only 8.70×10⁴ Pa is approximately 14.3°C.

Using the ideal gas law, we can write: PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the absolute temperature. Since the mass of air is not changing, we can write: PV = constant.

Applying this to the situation where the air mass rises to a level where the pressure is 8.70×10⁴ Pa, we get:

(1.01×10⁵ Pa)×V = (nR/T1)×T1(8.70×10⁴ Pa)×V = (nR/T2)×T2

Dividing the second equation by the first and using the fact that γ=Cp/Cv=1.40 for air, we get:

(T2/T1) = [(P2/P1)^(γ-1)/γ] = [(8.70×10⁴ Pa)/(1.01×10⁵ Pa)]^(1.4/1.4) = 0.813

Solving for T2, we get:

T2 = T1×(P2/P1)^(γ-1)/γ = (25+273) K×0.813 ≈ 287.3 K ≈ 14.3°C

Thus, the temperature of the air mass when it has risen to a level at which atmospheric pressure is only 8.70×10⁴ Pa is approximately 14.3°C.

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2. For electric circuit shown in Figure find currents in each resistor.

2. For electric circuit shown in Figure find currents in each resistor.

Answers

The current flowing in the 2Ω and 1Ω is 1.14 A and the current flowing in the 3Ω and 4Ω is 0.286 A.

What is the current flowing in each resistor?

The value of the current in each resistor is calculated by applying Kirchoff voltage law as follows;

The total voltage in loop 1 is calculated as;

2 + 4 - I₁R₁ - (I₁ - I₂)R₂ - I₁R₃ = 0

6 - 2I₁ - 3(I₁ - I₂) - 1₁ = 0

The current flowing in loop 2 is calculated as;

I = V/R

I₂ = ( 6 V - 4 V ) / (3 + 4)

I₂ = 0.286 A

The value of the current flowing in loop 1 is calculated as;

6 - 2I₁ - 3(I₁ - I₂) - 1₁ = 0

6 - 2I₁ - 3(I₁ - 0.286) - 1₁ = 0

6 - 3I₁ - 3₁ + 0.858 = 0

-6I₁ = -6.858

I₁ = 6.858 / 6

I₁ = 1.14 A

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How many fluorine atoms are in a molecule of the compound arsenic
pentafluoride?
O A. 6
O B. 1
C. 2
O D. 5

Answers

Answer:

d: 5

Explanation:

arsenic pentafluride contains 6 total atoms (5 fluorine atoms)

The slope of a speed vs.time graph is equal to the object’s

Answers

Answer:

acceleration

Explanation:

speed=v,

In speed vs time graph, slope = dv/dt = acceleration

A 37-kg
child jumps to the ground from the top of a fence that is 1.6 m
high. You analyze the problem using upward as the positive x
direction

Answers

The change in the system kinetic energy during the jump is 576.32 J.

What is kinetic energy?

Kinetic energy refers to the energy that an object in motion possesses due to its movement and is influenced by the object's velocity and mass.

Equation:

The initial potential energy of the child-Earth system is given by mgh, where m = 37 kg is the mass of the child, g = 9.8 m/s^2 is the acceleration due to gravity, and h = 1.6 m is the height of the fence. Thus, the initial potential energy is (37 kg)(9.8 m/s^2)(1.6 m) = 576.32 J.

At the bottom of the fence, all of the initial potential energy is converted into kinetic energy. Since the child is at rest initially, the initial kinetic energy is zero. Using the law of conservation of energy, the final kinetic energy can be calculated as equal to the initial potential energy, or 576.32 J.

The change in kinetic energy during the jump is therefore:

Final kinetic energy - Initial kinetic energy = 576.32 J - 0 J = 576.32 J.

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The complete question should be:

A 37-kg child jumps to the ground from the top of a fence that is 1.6 m high. You analyze the problem using upward as the positive x direction. Taking x = 0 to be at the bottom of the fence, what are the initial potential energy of the child-Earth system and the change in the system kinetic energy during the jump? Enter your answers numerically separated by a comma.

Describe the differences between a HALL effect sensor and a permanent magnet sensor. Which one is more accurate?

Answers

The difference is that Hall effect sensor detects the strength of a magnetic field perpendicular to it, while a permanent magnetic sensor detects the angle of a parallel magnetic field.

The permanent magnetic sensor tends to be more accurate as it has a bigger detectable area that has detects layout error.

What is a magnet?

A magnet is any material that produces a magnetic field. A magnet has north and south poles at opposite ends.

The difference between a hall effect magnet and a permanent magnet sensor is that hall effect detects  magnetics fields perpendicular to it while a permanent magnet detects magnetic fields parallel to it.

In conclusion, the permanent magnet is more accurate as it has a wider detectable area.

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QUICK!! What class of leer is shown below?

first class lever

second class lever

third class lever

fourth class lever

QUICK!! What class of leer is shown below?first class leversecond class leverthird class leverfourth

Answers

Answer:

3rd class lever

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The class of lever that should be given in the attached image is to be considered the third-class lever.

What is a third-class lever?

In a Class Three Lever, the Force should be lies between the Load and the Fulcrum. In the case when the Force is closer to the Load, it should be easier to lift and there is a mechanical advantage.

So based on this, we can say that The class of leer that should be given in the attached image is to be considered as the third-class lever.

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block and sphere are connected by a cord that passes over a pulley, as shown. Neglect friction and assume the cord is massless,
m1= 2.00 kg,
m2= 540 kg, and θ= 49.0∘.
What is the tension (in N) in the cord?

Answers

Tension is a force along the length of a medium, especially a force carried by a flexible medium, such as a rope or cable.

The tension in the cord is approximately 10624 N.

To solve this problem, we can use the principles of Newton's laws and apply them to each of the objects involved. We will also use the fact that the tension in the cord is the same on both sides of the pulley (neglecting any friction or mass in the pulley).

First, we can consider the forces acting on the block (m1). The only forces acting on the block are its weight (mg) and the tension in the cord (T), which is directed upward. We can resolve these forces into components parallel and perpendicular to the inclined plane:

The weight of the block has a component parallel to the inclined plane given by \(mg*sin(θ)\).

The tension in the cord has a component parallel to the inclined plane given by \(T*sin(θ)\).

Using Newton's second law, we can write:

\(m1 * a = T * sin(θ) - m1 * g * sin(θ)\)

where a is the acceleration of the block down the inclined plane.

Next, we can consider the forces acting on the sphere (\(m2\)). Since the sphere is hanging from the cord, the only force acting on it is its weight (\(mg\)), which is directed downward. Using Newton's second law, we can write:

\(m2 * a = m2 * g - T\)

where a is the acceleration of the sphere downward.

Since the cord is assumed to be massless and the pulley is assumed to be frictionless, the tension in the cord is the same on both sides of the pulley. Therefore, we can set the two expressions for T equal to each other:

\(T * sin(θ) - m1 * g * sin(θ) = m2 * g - T\)

Solving for T, we get:

T = \((m2 + m1) * g / (sin(θ) + 1)\)

Substituting the given values, we get:

T = \((540 kg + 2.00 kg) * 9.81 m/s^2 / (sin(49.0°) + 1)\)

T = 10624 N (to three significant figures)

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