The Image shows a magnetic field around the poles of a magnet. Identify the areas where the magnetic force is the strongest.
N

Answer:

Here's your answer :

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The net force acting on the rock is 12.5 N. The mass of the rock is then force divided by acceleration that is 25 kg here.

Force is an external agent acting on a body to change its motion or to deform it.  Force is the product of mass and acceleration for a moving body.

Given the force = 25 N in 60°

net force in horizontal direction = 25 cos 60 = 12.5 N

acceleration = 0.5  m/s²

Mass of the rock = force/ acceleration

mass = 12.5 N/0.5 = 25 Kg

Therefore, the mass of the rock is 25 kg.

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Answer:

Option B and C are True

Note: The attachment below shows the force diagram

Explanation:

The weight of the two blocks acts downwards.

Let the weight of the two blocks be W. Solving for T₁ and T₂;

w = T₁/cos 60° -----(1)

w = T₂/cos 30° ----(2)

equating (1) and (2)

T₁/cos 60° = T₂/cos 30°

T₁ cos 30° = T₂ cos 60°

T₂/T₁ = cos 30°/cos 60°

T₂/T₁ =1.73

Therefore, option a is false since T₂ > T₁

Option B is true since T₁ cos 30° = T₂ cos 60°

Option C is true because the T₃ is due to the weight of the two blocks while T₄ is only due to one block.

Option D is wrong because T₁ + T₂ > T₃ by simple summation of the two forces, except by vector addition.

The magnitude of normal force (N) on motorcycle is 704.537 N

In this type of scenario, we have been told that the mass, denoted by "m," is 350 kilograms, that the speed of the motorcycle, denoted by "v," is 29 meters per second, and that the radius of curvature, denoted by "R," is 105 meters. We can utilize the second law of motion that Newton proposed to compute the magnitude of the normal force, which is as follows:

\(m . g - N = \frac{mv^{2} }{R}\)

By applying the formula above we have:

\(350 x 9.8 - N= \frac{350x29^{2} }{108}\)

3430 - N = 2725.46296

N = 3430 - 2725.46296

N = 704.537 N

Thus, the magnitude of normal force on motorcycle would be 704.537 N

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Answer:

9.6 degrees

Explanation:

Octane is a compound since it is composed of more than two elements of the periodic table.

Octane is a linear hydrocarbon made up of hydrogen and carbon molecules, which makes it an organic molecule. Octane will be part of the composition of gasoline. The quality of the gasoline is measured by the octane number, the more octane there is, the higher the octane number and the better the quality of the gasoline.

It is a compound since it is said to be if it is made up of more than two elements from the periodic table. The elements of the compound cannot be separated by physical processes such as filtration or decantation, but only by chemical processes.

Therefore, we can confirm that octane is a compound since it is composed of more than two elements of the periodic table.

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For the roller coaster on a frictionless track:

a. The speed of the car at Point B can be determined using the principle of conservation of energy. The total mechanical energy (sum of kinetic energy and potential energy) remains constant in the absence of external forces like friction. Therefore, if there is no energy loss, the kinetic energy at Point A is equal to the kinetic energy at Point B.

Given that the speed at Point A is 5.0 m/s, the speed at Point B will also be 5.0 m/s.

Answer: A. 5.0 m/s

b. To find the height at which kinetic energy equals potential energy, we can set the equations for kinetic energy and potential energy equal to each other.

At Point A, the roller coaster has both kinetic energy and potential energy. The total mechanical energy is the sum of these two:

Initial mechanical energy at Point A = Kinetic energy at Point A + Potential energy at Point A

At Point B, the roller coaster will have kinetic energy and potential energy, but we want to find the height at which kinetic energy equals potential energy. Let's call this height "h."

Mechanical energy at Point B = Kinetic energy at Point B + Potential energy at Point B

Since the speed at Point B is the same as the speed at Point A (5.0 m/s), the kinetic energy at both points is the same.

Equating the mechanical energy at Point A to the mechanical energy at Point B:

Initial mechanical energy at Point A = Mechanical energy at Point B

Kinetic energy at Point A + Potential energy at Point A = Kinetic energy at Point B + Potential energy at Point B

Since the kinetic energy is the same at both points, simplify the equation:

Potential energy at Point A = Potential energy at Point B

The potential energy at any point is given by the formula mgh, where m is the mass, g is the acceleration due to gravity, and h is the height.

Therefore, at the height h between Points A and B, the potential energy equals the potential energy at Point A:

mgh = mghA

Since the mass and acceleration due to gravity are the same, cancel them out:

h = hA

This means that the height where kinetic energy equals potential energy is the same as the height at Point A.

Answer: The height between Points A and B where kinetic energy equals potential energy is 5.0 m.

c. To determine if the car will reach Point C, compare the potential energy at Point B with the potential energy at Point C. If the potential energy at Point B is greater than or equal to the potential energy at Point C, the car will reach Point C.

Potential energy at Point B = mghB

Potential energy at Point C = mghC

Given that the height at Point C is 8.0 m, compare the potential energies:

Potential energy at Point B ≥ Potential energy at Point C

mghB ≥ mghC

Since the mass (m) and acceleration due to gravity (g) are constant, cancel them out:

hB ≥ hC

Therefore, for the car to reach Point C, the height at Point B must be greater than or equal to 8.0 m.

d. The minimum speed needed at Point A for the car to reach Point C can be determined by comparing the potential energy at Point A with the potential energy at Point C. If the potential energy at Point A is greater than or equal to the potential energy at Point C, the car will have enough energy to reach Point C.

Potential energy at Point A = mghA

Potential energy at Point C = mghC

Given that the height at Point A is 5.0 m, compare the potential energies:

Potential energy at Point A ≥ Potential energy at Point C

mghA ≥ mghC

Since the mass (m) and acceleration due to gravity (g) are constant, cancel them out:

hA ≥ hC

Therefore, for the car to reach Point C, the height at Point A must be greater than or equal to 8.0 m.

To summarize, for the car to reach Point C, the height at Point B must be greater than or equal to 8.0 m, and the height at Point A must also be greater than or equal to 8.0 m.

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Answer: False

Explanation: the equator receives the most sun light because the the equator is closest to the sun.

Answer:

B. lnelastic collision, because interest kinetic energy is not conserved .

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The type of collision experienced by the two objects is inelastic collision, because internal kinetic energy is not conserved.

There are two types of collisions that two objects moving directly or opposite each may experience:

In elastic collision, both momentum and kinetic energy of the to objects are conserved.

In inelastic collision, only momentum is conserved while kinetic energy decreases after the collision.

Thus, we can conclude that the type of collision experienced by the two objects is inelastic collision, because internal kinetic energy is not conserved.

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Answer:

322.4 m/s

Explanation:

Given data

n= 1

Fundamental frequency= 248Hz

length = 0.65m

Velocity = ???

The fundamental frequency formula is

Fn= vn/2L

substitute

248= v*1/2*0.65

248= v/1.3

v= 248*1.3

v= 322.4 m/s

Hence the speed is 322.4 m/s

Cold air typically contains less moisture than warm air, and quick breathing dry air dehydrates the bronchial tubes, causing them to narrow and restrict airflow. The sports and activities are most likely to cause EIB symptoms to require constant movement or are done in cold weather.

The mass of the object is approximately 0.457 kg.

The mass of the object attached to the trolley can be calculated using the principle of conservation of momentum. Since the two trolleys couple together and move as a single system after the collision, the total momentum before and after the collision should be the same. Given the mass of one trolley is 0.80 kg and the initial speed is 1.1 m/s, the momentum before the collision is 0.80 kg * 1.1 m/s = 0.88 kg·m/s. After the collision, the total mass is the sum of the two trolleys, and the final speed is 0.70 m/s.

Using the momentum equation, the mass of the object can be calculated as follows:

Total momentum before collision = Total momentum after collision

0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s

Solving for the mass of the object, we get:

0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s

0.88 kg·m/s = 0.56 kg + 0.70 kg * mass of the object

0.88 kg·m/s - 0.56 kg = 0.70 kg * mass of the object

0.32 kg = 0.70 kg * mass of the object

Dividing both sides by 0.70 kg, we find:

mass of the object = 0.32 kg / 0.70 kg = 0.457 kg

The two trolleys collide and couple together, the total momentum before the collision is equal to the total momentum after the collision according to the principle of conservation of momentum.

The momentum of an object is defined as the product of its mass and velocity. In this case, the mass of one trolley is known (0.80 kg) and the initial speed is given (1.1 m/s), allowing us to calculate the momentum before the collision.

After the collision, the two trolleys move together at a new speed (0.70 m/s). By setting the initial momentum equal to the final momentum and solving for the unknown mass of the object, we can find its value.

In the calculation, we subtract the masses of the two trolleys from the total mass in order to isolate the mass of the object.

Dividing the difference in momentum by the product of the known mass and the new speed, we obtain the mass of the object. In this case, the mass of the object is approximately 0.457 kg.

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

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 force that results in the decrease in speed from the midpoint to the end of the track is friction. The friction force slows down the vehicle because it acts in the opposite direction of the car's motion.

The force that would cause the Hot Wheels car to slow down from the midpoint of the track to the end of the track is friction between the car's wheels and the track.

Friction is a force that opposes motion between two surfaces in contact.

In this case, the wheels of the car and the surface of the track are in contact, and the friction force acts in the opposite direction of the car's motion, which slows it down.

As the Hot Wheels car travels down Track #2 during the Speed Lab activity, its initial velocity decreases due to friction.

Friction is a resistance force that opposes motion.

It is caused by the interaction between the surfaces in contact. In this case, the surface of the track and the wheels of the car are in contact.

When the car is moving, there is friction between the two surfaces.

The direction of the friction force is opposite to the direction of motion of the car.

This means that the friction force slows the car down.

In conclusion, the force that results in the decrease in speed from the midpoint to the end of the track is friction.

The friction force slows down the vehicle because it acts in the opposite direction of the car's motion.

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If we replace the incandescent bulb with a voltage meter and return the loop to its original configuration, then moving the bar magnet back and forth through the loop will induce an electrical current in the loop, as described by Faraday's law of electromagnetic induction.

A magnet is a material or object that produces a magnetic field, which is a force that can attract or repel certain other materials, such as iron or steel. The magnetic field is created by the motion of electric charges within the magnet, which align in such a way that they produce a net magnetic field. Magnets can be made from a variety of materials, including iron, cobalt, nickel, and certain alloys. They come in many different shapes and sizes, including bars, discs, horseshoes, and rings.

Here,

The type of current that is generated depends on the direction and rate of the magnet's motion. If the magnet is moved back and forth with a constant speed and in a straight line, the current induced in the loop will be an alternating current (AC), because the direction of the current will reverse every time the magnet changes direction. This can be observed by the voltage meter reading a voltage that periodically changes in direction.

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Answer:

Explanation:

The refractive index of the glass is 1.73.

When a ray of light strikes a surface, it is either reflected, refracted, or both. The angle of refraction is determined by the refractive index of the two materials, the angle of incidence, and the law of refraction.

The law of refraction states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the refractive index of the second material divided by the refractive index of the first material.

In this problem, the angle of incidence is 60 degrees, and the refracted ray is perpendicular to the reflected ray. This means that the angle of refraction is 30 degrees.

The refractive index of the glass is therefore:

n = sin(i) / sin(r) = sin(60) / sin(30) = √3 / 1/2 = 2 / 1 = 1.73

Answer:

Explanation:

\(\red{ \rule{0pt}{900000pt}}\)

The maximum velocity is vmax = ωA = (2π)(0.04) = 0.08π units/s.

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In the absence of external forces (such as friction), the total momentum of a system remains the same in the conservation of momentum

As a result, in a collision, the total of the momentums before the collision and the sum of the momentums after the collision will be equal.

\(m * u = M * V - m * V\)

As per question given, because the red ball is travelling to the left after the collision, its momentum will be negative – hence the minus sign in the above equation.

The momentum of a body remains constant if the total of all extrinsic forces acting on it equals zero or the total of all extrinsic torque acting on it equals zero. The term "momentum conservation" refers to this.

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Answer:

a) F = 2250 Ib

b) F = 550 Ib

c) new max force ( F newmax ) = 2850 Ib

Explanation:

A) The force the wall of the elevator shaft exert on the motor if the elevator starts from rest and goes up

max capacity  of elevator = 24000 Ibs

counterweight = 1000 Ibs

To calculate the force (F) :

we first calculate the Tension using this relationship

Counterweight (1000) - T =  ( 1000 / g ) ( g/4 )

Hence T = 750 Ib

next determine F

750 + F - 2400 = 2400 / 4

hence F = 2250 Ib

B ) calculate Tension first

T - 1000 = ( 1000/g ) ( g/4)

T = 1250 Ib

F = 2400 -1250 - 2400/ 4

F = 550 Ib

C ) determine design limit

Max = 2400 * 1.2 = 2880 Ib

750 + new force - 2880 = 2880 / 4

new max force ( F newmax ) = 2850 Ib

a) The force does the wall of the elevator shaft exert F = 2250 Ib

b) The Force is  550 Ib

c) The new max force ( F newmax ) = 2850 Ib

a.

Here determine Tension using this relationship

Counterweight (1000) - T =  ( 1000 / g ) ( g/4 )

Since T = 750 Ib

Now F should be

750 + F - 2400 = 2400 / 4

F = 2250 Ib

B ) The tension should be

T - 1000 = ( 1000/g ) ( g/4)

T = 1250 Ib

F = 2400 -1250 - 2400/ 4

F = 550 Ib

C ) Now the new max force should be

Max = 2400 * 1.2 = 2880 Ib

750 + new force - 2880 = 2880 / 4

new max force ( F newmax ) = 2850 Ib

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Time period depends on the length of the pendulum and the force of gravity.

The time period of a simple pendulum does not depend on mass and material of the bob. It depends on the length of the pendulum and the force of gravity because more length of the pendulum leads to more time to complete one cycle.

So we can conclude that time period depends on the length of the pendulum and the force of gravity.

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The total distance traveled by the block in a one full or complete cycle is  2A.

option C.

If a block on the end of a spring is pulled to position x = A and released. In one full cycle of its motion, it will travel the following distance as shown below;

x = A cos (ωt)

where;

During a half cycle the block will travel a total distance of A.

During another half cycle the block will travel a total distance of A.

The total distance traveled by the block in a one full or complete cycle is calculated as follows;

distance = A + A

distance = 2A

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Complete Question

Find the force that must be exerted on the rod to maintain a constant current of 0.173 A in the resistor.

The figure below shows a zero-resistance rod sliding to the right on two zero-resistance rails separated by the distance L = 0.451 m . The rails are connected by a \(12.6 \Omega \   resistor\), and the entire system is in a uniform magnetic field with a magnitude of 0.751 T .

The diagram illustrating this question is shown on the first uploaded image

Answer:

The value is  \(F =  0.0586 \ N \)

Explanation:

  From the question we are told that  

   The current is  \(I  =  0.173 \ A\)

    The length of separation is  \(L= 0.451 \ m\)

     The resistance is  \(12.6 \Omega\)

    The magnetic field is  \(B  =   0.751\  T\)

Generally the force is mathematically represented as

    \(F =  BIL sin (\theta )\)

Given that the velocity is perpendicular to magnetic field then \(\theta  =  90\)

=>   \(sin(90)  =  1\)

So

    \(F =  0.751 *0.173  * 0.451 sin (\theta )\)

    \(F =  0.751 *0.173  * 0.451 * 1\)

    \(F =  0.0586 \ N \)

Answer:

Curran is testing out a newly waxed hallway floor by sliding in his socks.

He runs from one end of the hallway and starts sliding midway going all

the way to the right. The forces acting on Curran as he is sliding are

represented in the diagram below. Identify the forces and match them

correctly to the n

Being physically active can improve your brain health, help manage weight, reduce the risk of disease, strengthen bones and muscles, and improve your ability to do everyday activities.

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Answer:

The graph of the velocity of an object in free fall would look like a straight line sloping downward. As the object falls, its velocity increases at a constant rate, so the graph of its velocity versus time will be a straight line with a negative slope. This is because acceleration due to gravity is a constant -9.8 meters per second squared, so the velocity of a free-falling object will increase by 9.8 meters per second every second.

Therefore, the graph that shows the change in velocity of an object in free fall is a straight line with a negative slope. Here is an example of such a graph:

Free Fall Velocity Graph

Time it takes energy to pass through radiative zone is :  A) 8 minutes

Energy generated in the core of the Sun takes about 8 minutes to pass through radiative zone and reach the top of convective zone. The radiative zone is a layer of the Sun that lies just outside the core and it is characterized by high density and high temperature.

In this zone, energy is transported by photons that bounce around between atoms and ions that make up the plasma of the Sun. This process is known as radiative diffusion and is relatively slow compared to convective transport of energy that takes place in the outer layers of Sun.

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Answer:

a1 = 3.28 km

a2 = 4.67 km

a3 = -2.20 km

D = 6.08 km

Explanation:

The position vector from the radar station to the ship will be

S = (17.3 sin 136i + 17.3 cos 136j) km

S = (12i + -12.44j) km

Now, the position vector from the station to the plane will be

S' = (19.2 sin 153i + 19.2 cos 153j + 2.2k) km

S' = (8.72i + -17.11j + 2.2k) km

Finally, in order to fly the ship, the displacement needed is S - S'

Displacement, D = (3.28i + 4.67j - 2.2k) km.

Therefore, the values are

a1 = 3.28 km

a2 = 4.67 km

a3 = -2.20 km

The distance between the plane and the ship is given by

D' = √[(3.28² + 4.67² + (-2.2)²]

D' = √(10.7584 + 21.8089 + 4.4)

D' = √36.9673

D' = 6.08 km

Answer:

Let vector C(x,y) be A-B.

Explanation:

Now the direction is given by: tan-1(y/x)

Use the correct angle on the basis in which quadrant the vector C lies.

Magnitude = sqrt(x^2 + y^2)