why can you assume that the Mechanical energy is equal to the Initial gravitational energy

Therefore, the net force acting on the car is the centripetal force: 3562.4 N = 3074.44 N

The race car starts from rest and accelerates at a uniform rate. We are given the final speed of the car, which is 37 m/s, and the time it takes to reach that speed, which is 11 s. We are also given the mass of the car, which is 1060 kg, and the radius of the circular track, which is 500 m.
To find the car's acceleration, we can use the equation:
acceleration = (final speed - initial speed) / time
Since the car starts from rest, the initial speed is 0 m/s. Plugging in the values, we get:
acceleration = (37 m/s - 0 m/s) / 11 s
Simplifying, we find that the car's acceleration is approximately 3.36 m/s².
Next, we can find the net force acting on the car using Newton's second law of motion:
net force = mass * acceleration
Plugging in the values, we get:
net force = 1060 kg × 3.36 m/s²
Simplifying, we find that the net force acting on the car is approximately 3562.4 N.
Since the car is moving in a circular track, there must be a centripetal force acting towards the center of the track. This force is provided by the friction between the tires and the track. The centripetal force can be calculated using the equation:
centripetal force = mass × (speed² / radius)
Plugging in the values, we get:
centripetal force = 1060 kg × (37 m/s)² / 500 m
Simplifying, we find that the centripetal force is approximately 3074.44 N.
The net force and the centripetal force should be equal, as the car is not accelerating in the radial direction.
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The equation of the force between the two masses separated by distance r, is determined as Gmm/r².

The equation of the force between the two masses is determined from Newton's law of universal gravitation as shown below.

f = Gmm/r²

where;

Thus, the equation of the force between the two masses separated by distance r, is determined as Gmm/r².

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Answer:

The velocity is \(u = 19.1 \ m/s\)  

Explanation:

From the question we are told that

  The time taken by the ball is  t =  2.5 seconds

  The angle made with the horizontal is \(\theta = 40^o\)

Generally the vertical component of the initial velocity is mathematically represented as

         \(u_y = u sin (\theta )\)

Generally at maximum height of the ball the velocity is  v  =  0 m/s and  the time take to reach this maximum height is

    =>         \(t_m = \frac{t}{2} = \frac{2.5}{2} = 1.245 \ s\)  [This because t is duration for the to a fro travel of the ball]

Generally from kinematic equation

        \(v = u_y + gt\)

Here  \(g = -9.8 m/s^2\) given that the direction is against gravity

=>     \(0 = u sin (40) - 9.8 * [1.25]\)

=>     \(0 = 0.6428u - 12.25\)  

=>     \(u = 19.1 \ m/s\)  

Pendulum length must be made for it to keep perfect time of 100 or 0.0167 % or 0.017 % nearly.

Time is the  measure of to  non-stop, consistent change by  in our surroundings, or it is  usually from a specific to  viewpoint.

Total number of seconds in a normal day is 24×60×60 = 86400 seconds

We know that time period of pendulum is

T= 2π √l/g

Then we use fractional error method

∆T/T = 1/2 ( ∆l /l )

Here l is length of pendulum string

So 7.2/86400 = 1/2 ( ∆l/l)

∆l/l = 0.000167

So percentage change is

∆l/l *100 or 0.0167 % or 0.017 % nearly.

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Part 1: The number of pathways in a circuit determines the possible routes for electric current to flow.

There are maximum of five pathways in this circuit, depending on its complexity and the arrangement of components.

Part 2: Determining whether the circuit is series or parallel requires more information.

In a series circuit, components are connected in a single path, and the current flows through each component sequentially.

If the circuit has only one pathway (zero or one pathway), it suggests a series circuit.

However, if the circuit has multiple pathways (two or more pathways), it indicates a parallel circuit.

To conclusively determine the circuit's nature, we need to analyze the circuit diagram or obtain additional details regarding the component connections and their interactions.

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The work input required is 180 J.

The formula gives the work input:

Work input = Force x Distance

In this instance, a force of 20 N is used, and 5 m is moved. As a result, the force's work is:

Work done by force = 20 N x 5 m = 100 J

A 400 N weight can be moved by the machine 20 cm (or 0.2 m) away.

Using the following formula, we can estimate the work performed by the machine:

Work done by machine = Load x Distance moved by the load

Work done by machine = 400 N x 0.2 m = 80 J

As a result, the amount of work needed to move the load with the machine is:

Work input = Work done by force + Work done by machine

Work input = 100 J + 80 J = 180 J

Therefore, the work input required is 180 J.

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Since the focus of a convex mirror is itself virtual and there is no actual light travelling through it, it can never produce a genuine image. The source of light appears to be behind the mirror, and the light rays never seem to merge in front of the mirror.

The light rays diverge after reflection, thus they will never cross on the mirror's object side. Convex mirrors therefore create fictitious pictures that are situated somewhere beyond the mirror.

Convex and plane mirrors only create virtual pictures. A true image can only be produced using a concave mirror, and only if More than a focal length separates the item from the mirror's surface.

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At a displacement equal to the amplitude times the square root of 1/2, the energy is half kinetic and half potential.

(a) When the displacement is one-half the amplitude (x = xm/2), the kinetic energy (KE) can be calculated as a fraction of the total energy (TE) using the following equation:

\(KE = TE * (1 - (x/xm)^2)\)
Plugging in the values, we get:

\(KE = TE * (1 - (xm/2 / xm)^2) = TE * (1 - (1/2)^2) = TE * (1 - 1/4) = (3/4)TE\)
So, the kinetic energy is 3/4 of the total energy.

(b) Since the total energy (TE) is the sum of kinetic energy (KE) and potential energy (PE), we can find the fraction of potential energy as:

PE = TE - KE = TE - (3/4)TE = (1/4)TE

So, the potential energy is 1/4 of the total energy.

(c) To find the displacement at which the energy is half kinetic and half potential, we need to find x such that:

\(KE = PE = > TE * (1 - (x/xm)^2) = TE/2\)

Solving for x, we get:

1 - \((x/xm)^2 = 1/2 = > (x/xm)^2 = 1/2 = > x/xm = √(1/2) = > x = xm * √(1/2)\)

So, at a displacement equal to the amplitude times the square root of 1/2, the energy is half kinetic and half potential.

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Answer: No, constant speed does not mean constant velocity.

A classic often used example would be to consider a car driving in circles. If the speedometer reads say 20 mph the entire time, then the speed of the car is held constant (ie the same). But the velocity is changing because velocity measures direction along with speed. The car is changing direction as it moves in a circle.

The bicycle look blue in daylight as at this point of the daylight the reflected color from the bicycle that can be perceived by his eyes is blue.

Refraction, in physics, the change in direction of a wave passing from one medium to another caused by its change in speed

Given is that Matias was riding a blue bicycle and wondered what makes the bicycle look blue in daylight.

It is due to at this point of the daylight the reflected color from the bicycle that can be perceived by his eyes is blue.

Therefore, the bicycle look blue in daylight as at this point of the daylight the reflected color from the bicycle that can be perceived by his eyes is blue.

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The name for a hollow depression in which drainage collects is a basin or depression.

Drainage collection refers to the process of collecting and removing excess water or other liquids from a particular area or system.

The drainage collection process involves various techniques and methods, depending on the type of system and the amount and type of liquid being collected.

Effective drainage collection is important for preventing water damage, controlling erosion. So the name for a hollow depression in which drainage collects is a basin or depression.

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The range of light waves emitted by a celestial body, including visible light and other electromagnetic radiation, is called the electromagnetic spectrum.

The electromagnetic spectrum refers to the entire range of light waves, including all frequencies and wavelengths of electromagnetic radiation.

It encompasses a wide range of waves, from long-wavelength radio waves to short-wavelength gamma rays. When a celestial body emits light, it often emits a range of wavelengths across the electromagnetic spectrum.

Visible light is a small portion of this spectrum and is the range of wavelengths that can be detected by the human eye. However, celestial bodies can also emit other forms of electromagnetic radiation, such as infrared, ultraviolet, X-rays, and gamma rays.

Scientists study these different types of radiation to gain insights into the composition, temperature, and properties of celestial objects.

By examining the entire electromagnetic spectrum, astronomers can gather valuable information about the nature and behavior of celestial bodies in the universe.

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Television can cause the adult or the child to waste valuable hours focusing on the tv when they sdhould engage in other activities

The televison has permeated every aspect of our lives, inundating us with amusement, enlightenment, and instruction, but it also possesses the power to inflict dire consequences on both the young and old.

Even though it can provide enlightenment and pleasure, it can also result in a plethora of issues, including physical, psychological, and social anguish.

In this piece, I will elaborate on a way that television can be detrimental to both adults and youngsters.

Primarily, television can precipitate physical harm. Studies have shown that those who indulge in extended television viewing face the peril of developing maladies such as corpulence, cardiovascular disease, and diabetes.

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The current in the circuit is  ≈ 2.07 amperes (A)

A current circuit is a closed path through which electric current can flow. It typically consists of a power source, such as a battery or generator, a load, such as a light bulb or motor, and conductive wires or other components that connect the power source and load to form a complete path for the current to flow.

The current in the circuit can be calculated using the formula:

current = charge / time

In this case, the charge moved around the circuit is 60 coulombs and the time taken is 29 seconds. Thus, the current in the circuit is:

current = 60 coulombs / 29 seconds

current ≈ 2.07 amperes (A)

Therefore, The current in the circuit is  ≈ 2.07 amperes (A)

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Answer:

The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object. The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object.

In a certain positive clamper circuit 120V rms sine wave is applied to the input, the dc value of the output is 169.71V.

The output waveform is moved upward by a specific DC value in a positive clamper circuit. By calculating the average value of the input waveform, it is possible to determine the DC value of the output in a positive clamper circuit.

The formula: can be used to determine the peak voltage (Vp) for a sine wave of 120V RMS.

Vp = √2 × Vrms

Vrms = 120V

Vp = √2 × 120V

Vp ≈ 169.71V

A sine wave's average value (DC value) is zero. In contrast, the waveform is moved upward in a positive clamper circuit, and the DC value is equal to the peak voltage (Vp). So in this instance, the output's DC value would be roughly 169.71V.

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Answer:

Explanation:

m = 1500 kg

u = 15 m/s

v  = 25 m/s

s = 100 m

\(v^{2} = u^{2} + 2as\)

\(25^{2} = 15^{2} + 2a\) × 100

625 = 225 + 200 a

-200a = 225 - 625

-200a = -400

a = 400 / 200

a = 2 m/s

f = ma

f = 1500 × 2

= 3000 N

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Answer:

3 i think

Explanation:

hope this helps also Hiiii

The force between the rods are -3.486 x 10⁻⁴ N, the two rods are oppositely charged, the force is an attractive force.

Force is an influence on an object or system that will cause it to undergo acceleration, change in direction or shape, or be deformed. It is the result of an interaction between two bodies, and it is measured as a vector quantity with direction and magnitude. Force can be classified into contact forces, such as a push or pull, and non-contact forces, such as gravitation.

The force between two oppositely charged rods can be calculated using Coulomb's law. Coulomb's law states: F = k(q₁×q₂)/r²

where F is the force, k is a constant, q₁ and q₂ are the charges of the two rods (in coulombs), and r is the distance between the two rods (in meters).

Therefore, the force between the two rods in your example can be calculated as follows:

F = (8.99 x 10⁹ Nm²/C²)(7.5 x 10⁻⁷ C)( -5.1 x 10⁻⁵ C) / (0.09 m)²

F = -3.486 x 10⁻⁴ N

Since the two rods are oppositely charged, the force is an attractive force.

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Answer:

what does it mean for a plate to subduct?

Explanation:

Subduction is a geological process in which the oceanic lithosphere is recycled into the Earth's mantle at convergent boundaries. Where the oceanic lithosphere of a tectonic plate converges with the less dense lithosphere of a second plate, the heavier plate dives beneath the second plate and sinks into the mantle.

The maximum force on the aluminum rod with a 0.300 µc charge passing between the poles of a 1.10 t permanent magnet at a speed of 8.50 m/s is  2.805 N due to aluminum being non-magnetic.

To calculate the maximum force on the aluminum rod, we'll use the formula for the magnetic force on a charged particle: F = qvB, where F is the force, q is the charge, v is the velocity, and B is the magnetic field strength.

Given the charge (0.300 µC = 3.0 x 10^(-7) C), the velocity (8.50 m/s), and the magnetic field strength (1.10 T), we can plug these values into the formula:
F = (3.0 x 10^(-7) C) x (8.50 m/s) x (1.10 T)
F = 2.805 x 10^(-6) N
Converting the force back to its original unit (N), we get the maximum force on the aluminum rod as 2.805 N.

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(a) The distance travelled by the object is  100 m.

(b) The displacement of the object in time interval between t = 0 s and t = 10 s is 60 m.

(a) The distance travelled by the object is calculated from the total area of the curve.

total distance = area of triangle 1 + area of triangle 2 + area of rectangle.

total distance = (¹/₂ x base x height)₁ +  (¹/₂ x base x height)₂ + length x width

total distance = (¹/₂ x 6 s x 20 m/s) +  (¹/₂ (8 - 6) 20) + (10 - 0)(10 - 8)

total distance =  60 m + 20 m + 20 m

total distance = 100 m

(b) The displacement of the object in time interval between t = 0 s and t = 10 s is calculated as follows;

displacement = final position - initial position

displacement =  (¹/₂ x base x height)₁ +  (¹/₂ x base x height)₂ + length x width

displacement = (¹/₂ x 6 s x 20 m/s) +  (¹/₂ (8 - 6) (-20)) + (10 - 0)(10 - 8)

displacement = 60 m - 20 m + 20 m = 60 m

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Answer:

Remove the electrons from the object

Explanation:

Electrons = negative charge

The airline will need to have at least 167 passengers on each flight to break even.

To calculate the number of passengers needed to break even, we need to consider the total costs and the revenue generated per flight.

The total cost per flight consists of the fixed costs (£25,000) and the variable costs (£75 per passenger). The revenue per flight is determined by the ticket price (£225) multiplied by the number of passengers.

Let's denote the number of passengers as 'P'. The total cost per flight is given by:

Total Cost = Fixed Costs + (Variable Cost per Passenger * Number of Passengers)

Total Cost = £25,000 + (£75 * P)

The revenue per flight is given by:

Revenue = Ticket Price * Number of Passengers

Revenue = £225 * P

To break even, the total cost should equal the revenue:

£25,000 + (£75 * P) = £225 * P

Now, we can solve this equation for P to find the number of passengers needed to break even:

£25,000 + (£75 * P) = £225 * P

£25,000 = £225 * P - £75 * P

£25,000 = £150 * P

P = £25,000 / £150

P ≈ 166.67

Since the number of passengers must be a whole number, we round up to the nearest whole number:

P = 167

The airline will need at least 167 passengers on each flight to break even. However, since the maximum capacity of the aircraft is 200 passengers, the airline will need to fill the aircraft to its maximum capacity to break even on each flight.

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Answer:

vega the first one

pb

p

Explanation:

Answer:

I'm soooooooo happy you asked the answer is yes

Answer:

20m/s^2

Explanation:

F=ma, therefore 10N = 0.5kg * a. Solve for a.

The power delivered during this time is 358.4 Watts (rounded to the nearest tenth).

The equation is Power (P) = Work (W) / Time (t).

When calculating work, force (F) and distance (d) are multiplied:

Work (W) is equal to force times distance.

Given:

First, let's calculate the work:

Work (W) = Force (F) * Distance (d)

W = 128 N * 1.4 m

W = 179.2 Joules

Now, we can calculate the power:

Power (P) = Work (W) / Time (t)

P = 179.2 J / 0.5 s

P = 358.4 Watts

Therefore, the power delivered during this time is 358.4 Watts .

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Answer: A

Explanation: