a ship travels 55 km on a bearing of 27 degree, then travels on a bearing of 117 degree for 140 km. find the distance traveled from the starting point to the ending point.

There is none. EA (= EA cos 0) is the flux through lower circular surface, -EA (= EA cos 180) is the flux through the higher circular surface, and there is no flux (= EA cos 90) through the curving surface of the cylinder.

When determining the electromagnetic current or the flux generated by any of the following, a cylindrical Gaussian surfaces is used: a line of uniform discharge that goes on forever. a limitless, uniformly charged plane. an endlessly long, uniformly charged cylinder.

The charge kept on a cylinders per length l of cylinder is referred to as linear charge density. Complete solution, step by step: It is obvious that the electrostatic force created by a line discharge is always parallel to length before solving. The surface's normal direction is determined by the area vector.

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The resistance of connecting wires in a series circuit is generally additive. This means that the total resistance of the circuit is equal to the sum of the individual resistances of each wire in the circuit.

A series circuit is an electrical circuit in which components are connected end-to-end along a single pathway. In a series circuit, the current flows through each component in sequence and must flow through all components to complete the circuit. The current is the same through each component and the total resistance of the circuit is equal to the sum of the resistances of the individual components.

One of the key characteristics of a series circuit is that if one component fails, the entire circuit will be disrupted. This means that a single component failure can render the entire circuit inoperable. It is for this reason that series circuits are generally not used in critical applications, as the failure of a single component can result in a complete circuit failure.

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The supplied statement states that the smallest runway width that will work is one mile.

Speed refers to the rate which a distance varies over time. It has a time-distance dimension. The fundamental basis of time as well as the fundamental element of length are therefore combined to create the SI unit of velocity. The speed meter generated from Si is the meter per second (m/s). If you knew how far an object travels in a certain amount of time, you can calculate its speed.

To resolve this issue, we can apply the motion equation shown below:

v²-0²=2aΔs

Δs=v²/2a

We can determine the distance ratio from here.

Δs1/Δs2=(v1/v2)²  a2/a1

Since the second aircraft has twice the velocity but the same acceleration

Δs1/Δs2=0.5² * 1

Δs2=4Δs1=4*(1/4)=1 mile

Therefore, a mile is the minimum runway length.

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The magnitude of the velocity of the supply when it lands is zero, because the supply is dropped from the plane and it is not actively powered.

When an object is dropped from a moving plane, it experiences the acceleration due to gravity which causes it to decelerate. The initial velocity of the dropped object is equal to the velocity of the plane vertically downwards. In this case, the plane is moving at 80 m/s and the supply is being dropped 180 m below.

The initial velocity of the supply is the velocity of the plane (80 m/s) vertically downward, but as it falls it will experience the constant acceleration due to gravity (9.8 m/s²).

However, as the supply falls, the force of gravity will cause it to continuously slow down until it reaches a velocity of 0 m/s just before it hits the ground. This means that the magnitude of the velocity of the supply when it lands is zero. The initial velocity of the supply was the velocity of the plane, but as it fell, it lost speed until it reached 0 m/s.

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Other than gravity, inertia is the force that governs a planet's or moon's orbit.

The values of an object's inertial weight and gravitational mass are the same, but their methods of measurement are different. While gravitational mass quantifies the force acting on an item in a gravitational field, inertial mass is determined by measuring an organism's resistance to change in velocity.

Inertia was ranked as the second-most potent force inside the universe by Kristofferson (behind gravity). Although other forces that are stronger than both have since been discovered, it is still one of most significant and powerful forces in the cosmos.

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4.) The magnitude of vector is equal to the magnitude of vector is the statement correct about these two vector.

A quantity or occurrence with independent aspects for both magnitude and direction is called a vector. The term might also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.

Scalars only have magnitude, although vectors have included direction. It can be misleading because magnitude emerges for both scalars and vectors. For scientists, particular quantities—like speed—have very specific definitions. Speed is the scalar magnitude of a velocity vector, thus according definition.

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The person will require a total of 25 seconds in order to cover 50m distance.

The person is walking at a brisk pace, he covers 10m in 5 seconds.

We know,

Speed = Distance covered by the body/time taken to covered the distance

Putting values,

Speed of the person = 10/5 m/s

Speed of person = 2m/s.

By the definition of speed, we understand that the person will cover, 2m distance every second.

Now, we can write,

2m distance = 1 second

1m distance = 1/2 seconds

50m distance = 50 x 0.5 seconds

50m distance = 25 seconds.

So, the person will take 25 seconds to cover 50m.

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The flea's initial velocity while jumping straight up is 2.96 m/s.

The rate at which in displacement is known as velocity. Acceleration is the measure of a change in velocity. Due to the fact that it includes both magnitude and direction, velocity is an vector quantity. Acceleration is a vector quantity because it is the speed at which velocity varies.

v² = u² – 2gh (since the ball is going against gravity)

0² = u² – (2 × 9.8 × 0.45)

0 = u² – 8.82

u² = 0 +8.82

u² = 8.82

u = √8.82

u = 2.96m/s

Thus, the initial velocity is 2.96m/s

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Using the equation of motion, it can be determined that Alexander travels at an average speed of 25.57 m/s while operating a bike.

Equations of motion are equations that explain how a physical system behaves in terms of how its motion changes over time.

The three equations are,

v = u + at

v² = u² + 2as

s = ut + 1/2at²

Now for the given question,

For the initial 4.05 seconds, initial velocity = 0, acceleration = 12.9 m/s and time taken = 4.05 s

Using first equation of motion,

v = u + at

v = 0 + 12.9(4.05) = 52.245 m/s

He then kept this speed up for 8.48 seconds.

For the last 5.60 seconds, final velocity = 0, initial velocity = 52.245 m/s

Acceleration = (0-52.245)/5.60 = -9.329 m/s

Distance travelled in 4.05 seconds is given as follows:

s = u t + 1/2(at²)

= 0 + 1/2(12.9)(4.05)²

= 105.79 m

Distance travelled in 8.48 seconds = 52.245 × 4.05 = 211.592 m

Distance travelled in 5.60 seconds is given as follows:

s = u t + 1/2(at²)

s = 52.245(5.60) + 1/2(-9.329)(5.60)²

= 146.294 m

Total distance travelled =105.79  + 211.592 + 146.294 = 463.676 m

Average speed = Total distance/Total time = 463.676/(4.05+8.48+5.60)

= 25.57 m/s

Therefore, average motion speed for Alexander while riding a bike is 25.57 m/s which is calculated by using the equation of motion.

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Sara must climb approximately 7000 stairs to cancel out the 513-calorie breakfast she consumed.

First, we need to convert the number of calories consumed (513 kcal) into units of energy in joules.

1 kcal = 4184 J

So, 513 kcal = 513 * 4184 J = 2143172 J

Next, we need to determine the work done by Sara in climbing stairs, which is given by the equation:

W = m * g * h

Where W is the work done, m is Sara's mass (69.0 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the stairs (12.0 cm converted to meters).

h = 12.0 cm = 0.12 m

So, the work done by Sara in climbing one stair is:

W = 69.0 kg * 9.8 m/s^2 * 0.12 m = 822.56 J

Since the efficiency of Sara's body in converting chemical energy to mechanical energy is only 33%, the number of stairs she needs to climb to cancel out the calories consumed can be calculated as follows:

n = 2143172 J / (822.56 J / 33%)

= 2143172 / (822.56 * 0.33)

= 6999 stairs      (approximately 7000 stairs)

Mechanical energy is the sum of kinetic energy and potential energy in a mechanical system. It refers to the energy associated with the motion and position of an object. Kinetic energy is the energy an object possesses due to its motion, while potential energy is the energy stored within an object due to its position relative to other objects.

Mechanical energy can be transferred from one object to another, for example, when two objects collide. It can also be transformed from one form of energy to another, such as when a roller coaster car converts potential energy into kinetic energy as it moves downhill.

Conservation of mechanical energy states that in a closed system, the total mechanical energy remains constant as long as no external forces are acting upon the system. This principle is commonly used in physics to understand the behavior of physical systems and to solve problems related to energy and motion.

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The frequency of the original sine wave is 247.6 Hz.

The time difference between the identical points inside the wave cycles of the two sounds (the peaks or positive-going zero crossings, for example) represented as a fraction of one wave cycle gives the phase difference between two sound waves of the same frequency travelling past a fixed location.

The phase difference between two signals recorded by two microphones at a given frequency is directly proportional to the difference in their distances from the source.

If the distance difference is d, and the speed of sound is v, then the phase difference between the two signals is given by:

[tex]$$\Delta\phi = 2\pi \frac{f}{v} d$$[/tex]

where f is the frequency of the original sine wave.

Given that the recorded sine waves have a phase offset of 155 degrees,

we can write:

[tex]$$\Delta\phi = 155^\circ = 2\pi \frac{f}{v} d$$[/tex]

Solving for f, we find:

[tex]f = \frac{v}{2\pi} \frac{\Delta\phi}{d} \\\\= \frac{1,126 \text{ ft/s}}{2\pi} \frac{155^\circ}{3.0 \text{ ft}} \\\\= 247.6 \text{ Hz}[/tex]

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If you weigh 700 n on the earth, your weight on the surface of the neutron star would be approximately 9.47 × 10¹³ N.

To calculate the weight on the surface of a neutron star:

W = m * g

Here, it is given that:

Weight on Earth (W) = 700 N

Mass of the Sun (M) = 1.989 × 10³⁰ kg

Diameter of the neutron star (D) = 20,000 m

The mass (m) can be calculated using the formula:

m = W / g

Substituting the given values:

m = 700 N / 9.8 m/s²

≈ 71.43 kg

Now, we can calculate the acceleration due to gravity (g) on the surface of the neutron star using the formula:

g = G * (M / R²)

Since the diameter is given, we can calculate the radius (R) using:

R = D / 2

Substituting the values:

R = 20,000 m / 2 = 10,000 m

Now we can calculate g:

g = (6.67430 × 10⁻¹¹ N m²/kg²) * [(1.989 × 10³⁰ kg) / (10,000 m)²]

≈ 1.325 × 10¹² m/s²

Finally, we can calculate the weight on the surface of the neutron star (W'):

W' = m * g

≈ (71.43 kg) * (1.325 × 10¹² m/s²)

≈ 9.47 × 10¹³ N

Thus, your weight on the surface of the neutron star would be approximately 9.47 × 10¹³ N.

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