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Answer:

a) the car lands in the ocean 85.1 meters away from the base of the cliff.

b) the length of time the car is in the air is 2.50 seconds.

Explanation:

Let's start with part (a) of the problem.

First, we need to find the car's velocity at the bottom of the incline using the kinematic equation:

v^2 = u^2 + 2as

where v is the final velocity, u is the initial velocity (which is 0 m/s), a is the acceleration (which is 3.67 m/s^2), and s is the distance traveled down the incline (which is 50.0 m).

Plugging in these values, we get:

v^2 = 0^2 + 2(3.67 m/s^2)(50.0 m)

v^2 = 367 m^2/s^2

v = 19.1 m/s (rounded to one decimal place)

Next, we can use the vertical motion equations to find the time it takes for the car to fall from the cliff to the ocean. We'll use the equation:

h = ut + (1/2)at^2

where h is the height of the cliff (35.0 m), u is the initial vertical velocity (which is 0 m/s), a is the acceleration due to gravity (-9.81 m/s^2), and we're solving for t.

Plugging in these values, we get:

35.0 m = 0 m/s * t + (1/2)(-9.81 m/s^2)t^2

19.9 = t^2

t = 4.46 s (rounded to two decimal places)

Therefore, the car is in the air for 4.46 seconds.

Finally, to find the car's position relative to the base of the cliff when it lands in the ocean, we can use the horizontal motion equation:

s = ut + (1/2)at^2

where s is the horizontal distance the car travels (which is what we're solving for), u is the horizontal velocity (which is the same as the velocity at the bottom of the incline, 19.1 m/s), a is the horizontal acceleration (which is 0 m/s^2), and t is the time the car is in the air (which is 4.46 s).

Plugging in these values, we get:

s = 19.1 m/s * 4.46 s + (1/2)(0 m/s^2)(4.46 s)^2

s = 85.1 m (rounded to one decimal place)

Therefore, the car lands in the ocean 85.1 meters away from the base of the cliff.

For every action, there is an equal and opposite reaction. Action-reaction pairs

Explain in detail about the following categories of the newtons laws ?

Category 1: Newton's First Law

An object at rest stays at rest and an object in motion stays in motion with a constant velocity, unless acted upon by an unbalanced force.

ΣF = 0 (the sum of all forces acting on an object is zero)

Law of Inertia

Category 2: Newton's Second Law

F = m*a (the force applied on an object is equal to the mass of the object multiplied by its acceleration)

Force

Mass

Acceleration

Category 3: Newton's Third Law

For every action, there is an equal and opposite reaction.

Action-reaction pairs

Reaction force

Action force

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Answer:

Explanation:

Form must follow function, otherwise the design of a structure is a failure.  For example, the function (purpose) of a bridge is to provide a means of crossing an obstacle, such as a body of water, a valley, another road, etc.  The form of the bridge must serve the purpose of providing safe and reliable passage of pedestrians, vehicles, trains, etc.  A most basic form of a bridge is a beam design: simple, efficient, cost-effective, functional.  If budget and public sentiment allow, additions to the design can be incorporated to make the bridge more aesthetically pleasing, but such additions do not add to the basic function.  

The study of sound generation, regulation, transmission, reception, and effects is known as acoustics. The word comes from the Greek word akoustos, which means "heard."

The advantage of radio astronomy is that it does not interfere with observations due to sunshine, clouds, or rain. Since radio waves travel farther than optical waves, they are constructed differently from visible light telescopes.

They release some energy in the form of radio waves, which have extremely long wavelengths. Radio telescopes are tools used to pick up radio waves from celestial objects.

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Answer:

Given:

Distance between the balloons (r) = 0.75 m

Charge on balloon 1 (q1) = 2.6 E−6 C

Charge on balloon 2 (q2) = 2.2 E−7 C

Electric constant (k) = 8.99 × 10^9 N·m^2/C^2

Unknown:

Electrical force (F) between the two balloons

The equation for the electrical force between two point charges is:

F = k * (q1*q2)/r^2

Substituting the given values, we get:

F = (8.99 × 10^9 N·m^2/C^2) * ((2.6 E−6 C) * (2.2 E−7 C))/(0.75 m)^2

F = 4.16 × 10^-6 N

Therefore, the electrical force between the two balloons is 4.16 × 10^-6 N.

Explanation:

Answer:

The electrical force between two balloons is 67.5N.

Explanation:

There are two charged balloons, let's say a and b.

The charge on the balloon a = C

The charge on the balloon b = C

Both balloons are 1 cm apart; it means that the distance r between the balloon a and the balloon b is 0.01 m (since 1 cm = 0.01 m).

We need to find the electrical force between them. By using the Coulomb's law, the magnitude of the electrical force between both the balloon is given as follows:
---------------
Hence, the electrical force between two balloons is 67.5N (three significant figures).

Answer:

Impervious surfaces

Explanation:

Impervious surfaces are paved or hardened surfaces that do not allow water to pass through. Roads, rooftops, sidewalks, pools, patios and parking lots are all impervious surfaces.

Answer: a. It would be 140 N

I don’t know, I just got it right

Answer:

Explanation:

To find out how many years the United States could run on the energy released by a 10²³ J solar flare, we need to divide the energy of the solar flare by the energy consumed by the United States in one year:

Number of years = Energy of solar flare / Energy consumed by the United States per year

Number of years = 10²³ J / 2.5 x 10¹⁹ J/year

Number of years = 4 x 10³ years

Therefore, the United States could run for approximately 4,000 years on the energy released by a 10²³ J solar flare.

(a) The pitch factor of a three-phase winding is given by Kp = cos(π/6m), where m is the number of slots per pole per phase. Here, m = 48 slots/(4 poles x 3 phases) = 4 slots/pole/phase. Therefore, Kp = cos(π/6 x 4) = cos(π/2) = 0.

(b) The distribution factor of a double-layer winding is given by Kd = sin(π/2p), where p is the number of poles. Here, p = 4, so Kd = sin(π/8) = 0.3827.

(c) The frequency of the voltage produced in the stator winding is given by f = (P/2) × (N/60), where P is the number of poles and N is the speed of rotation in rpm. Here, P = 4 and N = 1800 rpm, so f = (4/2) × (1800/60) = 60 Hz.

(d) The resulting phase voltage of this stator can be calculated using the formula Vφ = 4.44 × f × Φ × Z × K, where Φ is the flux per pole, Z is the total number of conductors in series per phase, and K is the product of the pitch factor and the distribution factor. For this winding, Z = 10 turns/coil x 2 coils/slot x 48 slots/3 phases = 160 conductors/phase, and K = 0 x 0.3827 = 0.

Therefore, Vφ = 4.44 × 60 × 0.054 × 160 × 0 = 0 V.

Since this is a three-phase winding, the resulting terminal voltage will be the line-to-line voltage, which is √3 times the phase voltage. Therefore, the resulting terminal voltage of this stator is 3 × Vφ = 3 × 0 = 0 V.

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0.002355 N-m torque must the motor deliver if the turntable is to reach its angular speed in 2.20 revolutions starting from rest

Torque is a measure of the twisting force that causes rotational motion. It is calculated by multiplying the force applied to an object by the distance from the axis of rotation at which the force is applied.

Given:

Angular speed, ω = 3.49 rad/s

Number of revolutions, N = 2.20 rev

Diameter of disk, D = 30.5 cm = 0.305 m

Mass of disk, m = 0.240 kg

The moment of inertia of a uniform disk about its center is (1/2) * m * r^2, where r is the radius of the disk. Here, r = D/2 = 0.1525 m.

Moment of inertia, I = (1/2) * m * r^2 = (1/2) * 0.240 kg * (0.1525 m)^2 = 0.002198 J-s^2/rad

The torque required to bring the disk to its angular speed can be found using the formula:

τ = I * α

where α is the angular acceleration of the disk. Since the disk starts from rest, we have:

α = ω^2 / (2 * π * N)

where π is the constant pi. Substituting the given values, we get:

α = (3.49 rad/s)^2 / (2 * π * 2.20 rev) = 1.071 rad/s^2

Therefore, the torque required is:

τ = I * α = 0.002198 J-s^2/rad * 1.071 rad/s^2 = 0.002355 N-m

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Answer:

Explanation:

To verify the hypothesis that the Earth has a liquid outer core and a solid inner core, we can use seismographs to study seismic waves that pass through the Earth's interior. The experiment can be set up as follows:

1. Select multiple seismograph stations around the globe to record seismic waves.

2. Choose a location for an earthquake to occur. The earthquake should be large enough to generate seismic waves that travel through the Earth's interior and be located far away from the selected seismograph stations.

3. Record the seismic waves generated by the earthquake at the various seismograph stations.

4. Analyze the seismic waves to determine how they interact with the Earth's interior. Specifically, we will study how the seismic waves pass through the Earth's outer and inner core.

5. Repeat the experiment using earthquakes of different magnitudes and at different locations, and record the resulting seismic waves.

Equipment needed for the experiment include seismographs, computers for data analysis, and earthquake monitoring systems. Seismographs can be installed in various locations around the globe to record the seismic waves generated by the earthquake. Data from these seismographs can be collected and analyzed using computer software to determine how the seismic waves interact with the Earth's interior.

Evidence that proves the outer core is liquid includes the observation of seismic waves that cannot travel through the liquid outer core, resulting in a shadow zone on the opposite side of the Earth from the earthquake. This shadow zone indicates that the seismic waves are refracted or absorbed by the liquid outer core. In contrast, evidence that proves the inner core is not liquid includes the observation of seismic waves that are reflected and refracted by the inner core boundary. This is due to the fact that the inner core is solid and has a different density and composition than the outer core.

To use repeatability to show whether the hypothesis is valid or not, we can repeat the experiment using earthquakes of different magnitudes and at different locations, and record the resulting seismic waves. If the results from multiple experiments are consistent with the hypothesis, then we can have greater confidence that the hypothesis is valid. If the results from multiple experiments are inconsistent, then we would need to investigate further to determine the cause of the inconsistency and revise the hypothesis accordingly.

The parts of the wave are;

A typical wave diagram shows the various parts of a wave. The following are the key parts of a wave:

Crest: The highest point or peak of the wave.

Trough: The lowest point or valley of the wave.

Amplitude: The maximum displacement of the wave from its rest position, which is usually measured from the crest or trough to the equilibrium or rest position.

Wavelength: The distance between two successive crests or two successive troughs of a wave.

Frequency: The number of waves passing through a particular point per unit time, typically measured in hertz (Hz).

Period: The time taken for one complete wave to pass through a particular point, typically measured in seconds.

Velocity: The speed at which the wave propagates, which is usually measured in meters per second.

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To increase the efficiency of the engine by 10%, the temperature of the cold sink needs to be lowered by 0.25 times the difference between the hot source and cold sink temperatures.

The efficiency of a Carnot engine is given by:

efficiency = (T_source - T_sink) / T_source

where;

If the efficiency of the engine increases by 10%, we can write:

new efficiency = 1.1 x old efficiency

Substituting the expression for efficiency of a Carnot engine, we get:

(T_source - new T_sink) / T_source = 1.1 x (T_source - T_sink) / T_source

Simplifying this equation, we get:

new T_sink = T_sink - 0.1 x (T_source - T_sink) / 0.4

new T_sink = T_sink - 0.25 x (T_source - T_sink)

new T_sink = 0.75 x T_sink + 0.25 x T_source

Therefore, the new temperature of the cold sink is given by 0.75 times the original temperature of the cold sink plus 0.25 times the temperature of the hot source.

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Answer:

The objective of this study is to determine the duration of time it takes for an object with an initial velocity of 15 m.s-1 to reach its peak height and descend back to its starting point when launched straight upwards, such as when throwing a ball straight up into the air. The study takes into account the effects of gravity, air resistance and Newton's Laws of Motion.

For the purpose of this study, a mathematical investigation is undertaken, taking into consideration the initial velocity (vi = 15 m.s-1) and the gravitational acceleration (g = 9.81 m.s-2). The equation for the Time of Flight (T) is derived by using kinematic equations, as followed:

T = 2vi/g

Where T is the time of flight and vi is the initial velocity of the object.

In this case, the Time of Flight is equal to T = 2∙ 15m/s / 9.81 m/s2 = 3.03 s.

Therefore, when the ball is released into the air the ball was be in the air for 3.03 seconds before descending back to its starting point.

Friction, in this case, does not need to be included in the equations because it's negligible. However, to accurately determine the time the ball reaches its peak, additional equations should be used by considering the forces acting on the object, being drag, air resistance, and gravity

Answer: 7,6 hz

Explanation:

50/23.4=x+5.5x 18= The equation so its basically 7,6 x 18 to get ur answer in HZ. So yeah thanks and hope this helped !!!!

Answer & Explanation:

we need to calculate how much the ball drops due to the effect of gravity over the 60.5 ft distance from the pitcher's mound to home plate. We can use the formula:

d = 1/2 x g x t^2

where:

d is the distance the ball drops (in ft)

g is the acceleration due to gravity (32.2 ft/s^2)

t is the time it takes for the ball to travel 60.5 ft at a horizontal speed of 102.5 mi/h (which we need to convert to ft/s)

Converting the horizontal speed from miles per hour to feet per second:

102.5 mi/h = 102.5 x 5280 ft / 3600 s = 150.7 ft/s

Now we can find the time it takes for the ball to travel 60.5 ft:

t = d / v

t = 60.5 ft / 150.7 ft/s

t = 0.401 seconds

Finally, we can use the time to calculate how far the ball drops vertically:

d = 1/2 x g x t^2

d = 1/2 x 32.2 ft/s^2 x (0.401 s)^2

d = 0.517 ft

Therefore, the ball drops vertically by approximately 0.517 ft (or 6.2 inches) by the time it reaches home plate, assuming it is thrown horizontally at 102.5 mi/h.

If a baseball is thrown horizontally at a speed of 102.5 mph, it would fall approximately 2.605 feet vertically by time it reaches the home plate 60.5 feet away.

The subject of this problem belongs to the area of projectile motion. First, we need to know the time it takes for the ball to reach the home plate. Given that the distance to the home plate is 60.5 feet and the ball is thrown at 102.5 mph (which is approximately 150 feet per second when converted), the time can be calculated using the formula

time = distance/speed. This gives us approximately 0.403 seconds.

Next, we use the equation for displacement in the vertical direction under the influence of gravity, h = 0.5gt^2, where g is the acceleration due to gravity (32.2 ft/s^2), and t is time. Plugging in the known values, we get

h = 0.5 * 32.2 * (0.403^2) = 2.605 feet.

Therefore, if a baseball were thrown horizontally at a speed of 102.5 mph, it would drop approximately 2.605 feet vertically by the time it reached the home plate, 60.5 feet away.

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Answer:

i) Total charge of the

system

= 2 x 10 -7 + (-2 x 10 -7)

= zero P

(ii)

P =q x 2i

P= 2 x 10-7 x 20 x 10-2

P = 4 x 10-8 cm

Direction of Dipole moment – Along negative z-axis.

Explanation:

Kirchhoff's current law (KCL) can be written at each node using nodal analysis, and the voltages can be expressed in terms of the node voltages using Ohm's law.

The most chosen reference node in the nodal analysis is. a node that is connected to by the most elements. a node that has the greatest amount of voltage sources linked to it, or. a symmetry node.

An order template data node that references another data node is known as a reference node. The structure and data typing of the reference data node match those of the node it is referencing.

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Answer: The answer is C i believe

Answer:

The maximum possible number of components a vector can have is infinite

Explanation:

In mathematics, a vector is a mathematical object that has both magnitude and direction, and it can have any number of components, as long as it makes mathematical sense.

For example, a vector in two-dimensional space has two components (x and y), while a vector in three-dimensional space has three components (x, y, and z). However, vectors can also exist in higher-dimensional spaces, such as four-dimensional space or n-dimensional space, and in those cases, they can have more components.

It is worth noting that in practice, vectors with an extremely large number of components may not be useful or computationally feasible to work with. However, from a theoretical standpoint, vectors can have as many components as needed to describe a given situation.

Answer:

from - from the mouth .............

The centripetal force of the object is determined as 48 N.

Centripetal force is the force that acts on an object moving in a circular path, directed towards the center of the circle. It is the force that keeps the object moving in a circle, rather than continuing in a straight line.

The centripetal force required to keep an object moving in a circle is given by the formula:

F = (mv²)/r

where:

Substituting the given values, we get:

F = (12 kg)(8.0 m/s)² / 16 m

F = 48 N

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The complete question is below:

A 12 kg object has a velocity of 8.0 m/s and is moving in a circle of a radius 16 m. calculate the centripetal force of the object

According to the question the equivalent resistance is 37.0 Ω.

Equivalent resistance is the resistance of a circuit when its individual resistors are replaced with a single resistor that has the same overall effect on the circuit. It is a measure of resistance that is used to simplify calculations of electrical circuits. Equivalent resistance is calculated by taking the sum of the inverse of the individual resistances and then inverting the sum to find the equivalent resistance. This is useful for analyzing complex circuits as it allows for easier calculations.

The equivalent resistance of the three resistors joined in series is equal to the sum of the individual resistances.
Therefore, the equivalent resistance is 6.00 Ω + 11.0 Ω + 20.0 Ω = 37.0 Ω.

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Answer: We first calculate the acceleration on the ball using:

2as = v² - u²; u = 0 because ball is initially at rest

a = (36)²/(2 x  0.35)

a = 1850 m/s²

F = ma

F = 0.058 x 1850

= 107.3 Newtons

Explanation:

Velocity of airplane A relative to B is 200 km/h east and 126.8 km/h north-west.

Rate and direction of an object's movement is known as velocity.

Let velocity of airplane A with respect to the ground be "vA" and  velocity of airplane B with respect to the ground be "vB". Velocity of A relative to B, denoted as vAB, is calculated:

vBx = vB cos(60°) = 200 km/h x cos(60°) = 100 km/h

vBy = vB sin(60°) = 200 km/h x sin(60°) = 173.2 km/h

Direction of vBy is north-west.

Velocity of A with respect to the ground is given as 300 km/h north.

vAB = vA - vB

vABx = vAx - vBx = 300 km/h - 100 km/h = 200 km/h

vABy = vAy - vBy = 300 km/h - 173.2 km/h = 126.8 km/h

So, the velocity of airplane A relative to B is 200 km/h east and 126.8 km/h north-west.

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Answer:

Explanation :

We have ,

According to Newton's second law of motion,

where F is force, m is mass and a is acceleration.

On putting the values in above formula we will get :

=> 48 = 12 × a

=> a = 48/12

Therefore,

Answer: (A)The net force was not 0 on the skater during her motion.

Explanation:

The net force was not 0 on the skater during her motion. The roller skated slowed down, which indicates that there is another force acting on her roller skates.

The correct statement is "The net force was 0, which is why the skater moved in a straight line." The correct answer is B.

Newton's First Law of Motion, states that an object at rest or in motion will remain at rest or in motion with a constant velocity in a straight line unless acted upon by an external force. In this case, the skater is traveling at a constant velocity, which means that the net force acting on her must be zero.

Option A is incorrect because if the net force was not zero, then the skater would not have moved in a straight line. She would have accelerated or changed direction, as per Newton's Second Law of Motion.

Option C is also incorrect because the skater's inertia does not have any effect on the forces acting on her. Inertia is a property of matter that resists changes in motion, but it does not cause any forces to be unbalanced.

Option D is incorrect because the action-reaction pair of forces cancel each other out and do not affect the skater's motion. The action-reaction pair only affects the interaction between two objects, but it does not affect the motion of a single object.

Therefore, The correct option is B i.e. The net force was 0, which is why the skater moved in a straight line.

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