match the term of the velocity formula and the complete formula with its interpretation. assume the object is undergoing constant acceleration.

Answer:

Fc = 4340,93 Newton

Explanation:

Dados los siguientes datos;

Masa = 900 kg

Velocidad, V = 50 km/h a metros por segundo = (50 * 1000)/(60 * 60) = 50000/3600 = 13,89 m/s

Radio, r = 40 m

Para encontrar la fuerza centrípeta;

Fc = mv² / r

Fc = (900 * 13,89²)/40

Fc = (900 * 192,93)/40

Fc = 173637/40

Fc = 4340,93 Newton

Emily throws the ball at 30 degree below the horizontal

so here the speed is 14 m/s and hence we will find its horizontal and vertical components

v_x = 14 cos30 = 12.12 m/sv

x

=14cos30=12.12m/s

v_y = 14 sin30 = 7 m/sv

y

=14sin30=7m/s

vertical distance between them

\delta y = 4 mδy=4m

now we will use kinematics in order to find the time taken by the ball to reach at Allison

\delat y = v_y *t + \frac{1}{2} at^2\delaty=v

y

∗t+

2

1

at

2

here acceleration is due to gravity

a = 9.8 m/s^2a=9.8m/s

2

now we will have

4 = 7 * t + \frac{1}{2}*9.8 * t^24=7∗t+

2

1

∗9.8∗t

2

now solving above quadratic equation we have

t = 0.44 st=0.44s

now in order to find the horizontal distance where ball will fall is given as

d = v_x * td=v

x

∗t

here it shows that horizontal motion is uniform motion and it is not accelerated so we can use distance = speed * time

d = 12.12 * 0.44 = 5.33 md=12.12∗0.44=5.33m

The drift velocity v will give us the answer.

\(v = (5 V) / ((2x10^20 electrons/m³) * (2x10^-6 m²) * (1.6x10^-19 C))\)

To find the drift velocity of charges in the wire, we can use Ohm's Law, which states that the current flowing through a conductor is directly proportional to the applied voltage and inversely proportional to the resistance. The equation for Ohm's Law is:

I = V / R

Where:

I is the current flowing through the wire,

V is the applied voltage (in this case, 5 Volts),

R is the resistance of the wire (given as 10^2 Ohms).

Now, we need to calculate the current flowing through the wire using Ohm's Law. The current is the rate at which charges (electrons) move through the wire. The equation for current is:

I = n * A * v * q

Where:

n is the number of charges per unit volume (given as 2x10^20 electrons),

A is the cross-sectional area of the wire (given as 2 mm² or 2x10^-6 m²),

v is the drift velocity of the charges (what we need to find),

q is the charge of each electron (1.6x10^-19 C).

Rearranging the equation and solving for v, we have:

v = I / (n * A * q)

Substituting the given values:

v = (5 V) / ((2x10^20 electrons/m³) * (2x10^-6 m²) * (1.6x10^-19 C))

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The parts of an experimental investigation that model the weathering of rock by water would involve observing changes in the rocks due to exposure to water, while the parts that model the erosion of rock by water would involve observing how water moves rocks from one location to another.

In order to gather data to support or disprove a causal relationship, experimental investigations entail a process in which a "fair test" is designed and variables are actively manipulated, controlled, and measured. A control group is used in experimental studies that receives no treatment.

Here, the weathering of rock by water can be modeled by exposing rocks to water and observing how they change over time. For example, if you were to place rocks in a container of water and leave them for a few days or weeks, you might observe changes in the rocks due to the effects of water. These changes could include physical weathering etc.

For erosion of rock by water, this can be modeled by observing how water moves rocks from one location to another. For example, if you were to create a miniature stream by running water over a surface with rocks, you could observe how the water moves the rocks downstream and changes their location. This process can also cause physical and chemical weathering.

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Answer:

strengthens ur muscles

The correct answer is 5.6 Newton is the force on the egg .

Using newtons 2 law of motion

force  = mass  * accelaration

now accelaration =10 m / s^2

mass = 0.56 kg

force  = 0.56 * 10

force  = 5.6 newton

Newton's second law of motion governs the behavior of objects when all available forces are not balanced. The second law states that an object's acceleration is determined by two variables: the net force acting on the object and the object's mass. The acceleration of an object is proportional to the net force acting on it and inversely proportional to its mass. The acceleration of an object increases as the force acting on it increases. The acceleration of an object decreases as the mass of the object increases.

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Answer

given :

m=1.4 kg

r/q = N

N = m(9.8)

= 1.4 kg(9.8)

= 13.72 Newton

Answer:

9.8066500286389 N

Explanation:

a. The centripetal acceleration of the car is 0.5 m/s².

b. The centripetal force on the car is 600 N.

c. The coefficient of static friction between tires and the road is 0.051.

d. The car's speed is doubled, we need a coefficient of static friction of 0.204 to prevent the car from sliding.

a. The formula for the centripetal acceleration of the car is given as below:

ac = v²/r

where ac is the centripetal acceleration,

v is the speed, and

r is the radius of curvature of the circular path.

Substituting the values given in the problem, we get:

ac = (20 m/s)²/800 m = 0.5 m/s²

b. The formula for the centripetal force of the car is given as below:

F = mac

where F is the centripetal force,

m is the mass of the car, and

ac is the centripetal acceleration.

Substituting the values given in the problem, we get:

F = (1200 kg)(0.5 m/s²) = 600 N

c. The formula for the maximum static frictional force is given as below:

\(f_{max}\) = μsN

where \(f_{max}\) is the maximum static frictional force,

μs is the coefficient of static friction, and

N is the normal force acting on the car.

For a car moving in a circular path, the normal force is equal to the weight of the car, which is given by:

N = mg

where m is the mass of the car and g is the acceleration due to gravity (9.8 m/s²).

Substituting the above equations and solving for μs, we get:

\(f_{max}\) = μsN

⇒ μs = \(f_{max}\) / N

Substituting the values given in the problem, we get:

\(f_{max}\) = mac = (1200 kg)(0.5 m/s²) = 600 N and

N = mg = (1200 kg)(9.8 m/s²) = 11760 N

Therefore,μs = 600 N/11760 N = 0.051

d. Doubling the speed of the car will cause the centripetal acceleration to double as well.

The formula for centripetal acceleration is given as:

ac = v²/r,

where ac is the centripetal acceleration,

v is the speed, and

r is the radius of curvature of the circular path.

Substituting the new speed (40 m/s) into this formula, we get:

ac = (40 m/s)²/800 m = 2 m/s²

Therefore, the new centripetal acceleration is 2 m/s².

Using the same formula as in part (c), we can find the new coefficient of static friction.

The maximum static frictional force is still equal to the centripetal force, which is given by:

F = mac = (1200 kg)(2 m/s²) = 2400 N

Therefore,

μs = \(f_{max}\)/N = 2400 N/11760 N = 0.204

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Answer:

It will need 20 Watts power to move the box 5 meters in 5 seconds.

Step-by-step explanation:

The power is defined as the work per unit time or the rate of doing work:

W=dL/dt

Where de work L, can be calculated by multiplying the force by the displacement d:

L=F.d

To this example, F and D are known, therefore the work is:

L=20N . 5m=40 Nm

We know that the work is doing within a time of 5 seconds:

W= 40 Nm / 5s = 20 Nm/s = 20 Watts

If the velocity time graph is curved, it then means that the velocity is changing non uniformly​.

The velocity time graph is used to describe the changes in the velocity of a body with time. The slope of the graph is known as the acceleration of the motion.

If the velocity time graph is curved, it then means that the velocity is changing non uniformly​.

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If the angle the mop handle makes with the horizontal is increased to 65°, the work done by the janitor will stay the same.

1. The work done by the janitor in cleaning the floor depends on the force applied and the distance over which the force is applied. It is given by the equation: Work = Force × Distance × cos(θ), where θ is the angle between the force and the direction of motion.

2. When the angle the mop handle makes with the horizontal is increased to 65°, the angle between the force applied by the janitor and the direction of motion also increases. However, the cosine of 65° is less than the cosine of 0° (horizontal).

3. Since the cosine of 65° is smaller than the cosine of 0°, the work done by the janitor will remain the same or decrease slightly. This is because the component of the force in the direction of motion decreases as the angle increases.

In summary, when the angle the mop handle makes with the horizontal is increased to 65°, the work done by the janitor will stay the same or decrease slightly.

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To express the current i1 in terms of the currents i2 and i3, we can use Kirchhoff's current law (KCL), which states that the sum of currents entering a node is equal to the sum of currents leaving the node. In this case, the node where i1, i2, and i3 meet is the point of interest.

Based on the direction of the currents specified in the figure, we can write the equation:

i2 + i3 = i1

This equation represents the application of KCL at the node where i1, i2, and i3 are connected. According to KCL, the sum of currents entering the node (i2 and i3) is equal to the sum of currents leaving the node (i1).

Therefore, the expression for the current i1 in terms of i2 and i3 is:

i1 = i2 + i3

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Answer:

a. RT = 9 Ohms

b. RT = 0.5 Ohms

Explanation:

Let the two resistors be A and B.

Let RT be equivalent resistance.

Given the following data;

Resistor A = 6ohms

Resistor B = 3ohms

a. To find the equivalent series resistance;

RT = RA + RB

RT = 6 + 3

RT = 9 Ohms

b. To find the equivalent parallel resistance;

RT = 1/RA + 1/RB

Substituting into the equation, we have

RT = 1/6 + 1/3

RT = 3/6

RT = 0.5 Ohms

As here the 6 ohm and 3 ohm resistors are first connected in series and then parallel, so we can just find out the equivalent series resistance by the formula of it, which is the individual sum of all resistors (for series) and for parallel combination, the reciprocal of the total resistance is the individual reciprocal sum of all resistors, so if we apply same Formula here for series first, then we will be having :

\({:\implies \quad \sf R_{s}=6+3}\)

\({:\implies \quad \boxed{\bf{R_{s}=9\Omega}}}\)

Now, for parallel combination:

\({:\implies \quad \sf \dfrac{1}{R_{p}}=\dfrac13 +\dfrac16}\)

\({:\implies \quad \sf \dfrac{1}{R_{p}}=\dfrac{2+1}{6}}\)

\({:\implies \quad \sf \dfrac{1}{R_{p}}=\dfrac36}\)

\({:\implies \quad \sf \dfrac{1}{R_{p}}=\dfrac12}\)

\({:\implies \quad \boxed{\bf{R_{p}=2\Omega}}}\)

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The gravitational energy accelerates the object converting the gravitational potential energy into mechanical energy.

The combination of the potential and kinetic energy due to the gravitational force of the Earth leads to the formation of mechanical energy. The capacity of an object to draw nearby bodies closer to it is known as gravitational energy.

The gravitational attraction of the object transforms its gravitational potential energy into kinetic energy, converting gravitational energy to mechanical energy.

Any gravitational energy held by an object will be transformed into mechanical energy once it is subjected to an external force or falls freely from a height.

Therefore, The gravitational energy accelerates the object converting the gravitational potential energy into mechanical energy.

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Answer:

is this math of science

Explanation:

Answer:

watts

Explanation:

Answer:

its a.) watts

Explanation:

The acceleration of the cart at time t = 3s in terms of the sine function: a = (-2π²m/s²)sin(6π).

To determine the acceleration of the cart at time t = 3s, we need to find the second derivative of the displacement equation with respect to time (t).

Given the displacement equation: y = (0.5m)sin(2πt/s)

First, let's find the first derivative (velocity):

v = dy/dt = (0.5m)(2π/s)cos(2πt/s)

Next, let's find the second derivative (acceleration):

a = dv/dt = d²y/dt² = (0.5m)(2π/s)(-2π/s)sin(2πt/s)

Substituting t = 3s into the equation:

a = (0.5m)(2π/s)(-2π/s)sin(2π(3)/s)

a = (-2π²m/s²)sin(6π)

Now we have the expression for acceleration at t = 3s. However, since the question does not provide a specific value for the constant m, we cannot calculate the exact numerical value of the acceleration. We can, however, express it in terms of the sine function:

a = (-2π²m/s²)sin(6π)

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Answer: The red ball has a greater velocity than the purple ball

Explanation:

Given the chart :

Ball : Green - - - Red - - - Yellow - - - Purple

Mass : 0.5 - - - - - - 1.2 - - - - - 0.9 - - - - - - 1.7

The four balls have the same momentum

Momentum = mass × velocity

Since momentum is directly proportional to the product of Mass and velocity, and the balls have the same momentum. Therefore the lower the mass of the ball, the higher or greater it's Velocity.

Because if the balls with lower masses have lower Velocities than balls with higher masses, both balls cannot have the same momentum.

Therefore, the only viable option above is, The red ball has a greater velocity than the purple ball, because the red ball has a lower mass than the purple ball

Answer:

B in edg

Explanation:

Answer:

It’s called a conservative field.

Explanation:

I think it’s going to be the conservative field because in the question it talks about how it is able to become possible to define potential at a point in an electric field because electric field.

Answer:

It's called conservative field

Explanation:

It's possible to define the potential at any point in an electric field because electric field is conservative field.

Morehow the electric field obeys the law of conservation of charge

which implies

charge can neither be created nor be destroyed.

Option A

The subsequent current in the series RLC circuit is given by the equation: i(t) = I * cos(5t - Φ), where I is the amplitude of the current and Φ is the phase angle.

To find the subsequent current, we need to calculate the amplitude (I) and the phase angle (Φ) of the current.

First, let's calculate the resonant frequency (ω) of the circuit:

ω = 1 / √(LC) = 1 / √(10 * 10^(-2)) = 1 / √1 = 1 rad/s.

The applied voltage can be written as E(t) = E * cos(ωt), where E is the amplitude of the voltage.

Comparing this with the given voltage E(t) = 200 * cos(5t), we can equate the angular frequencies: ω = 5.

Now, let's find the impedance (Z) of the circuit:

Z = √(R^2 + (Xl - Xc)^2),

where R is the resistance, Xl is the inductive reactance, and Xc is the capacitive reactance.

R = 20 Ω

Xl = ωL = 1 * 10 = 10 Ω

Xc = 1 / (ωC) = 1 / (5 * 10^(-2)) = 20 Ω

Plugging in these values, we get:

Z = √(20^2 + (10 - 20)^2) = √(400 + 100) = √500 ≈ 22.36 Ω.

The amplitude of the current (I) can be calculated using Ohm's Law:

I = E / Z = 200 / 22.36 ≈ 8.94 A.

The phase angle (Φ) can be found using the relationship between resistance, inductive reactance, and capacitive reactance:

tan(Φ) = (Xl - Xc) / R = (10 - 20) / 20 = -0.5.

Therefore, Φ ≈ -0.464 rad.

The subsequent current in the series RLC circuit is given by i(t) = 8.94 * cos(5t + 0.464) A.

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Answer:

(a) h = 5.1 m

(b) v = 14.13 m/s

Explanation:

(a)

We will use the law of conservation of energy. For this situation it states that:

Loss in Potential Energy of Sphere = Gain in Kinetic Energy of the Sphere

mgh = (1/2)mv²

h = v²/2g   --------------- equation (1)

where,

h = height = ?

v = speed at lowest point = 10 m/s

g = 9.8 m/s²

Therefore,

h = (10 m/s)²/(2)(9.8 m/s²)

h = 5.1 m

(b)

using the equation (1)

h = v²/2g

v = √2gh

where,

v = velocity = ?

g = 9.8 m/s²

h = height = 2(5.1 m) = 10.2 m

Therefore,

v = √[2(9.8 m/s²)(10.2 m)]

v = 14.13 m/s

The height from which the sphere was released is 5.1 m

When the height is doubled, the speed of the sphere becomes 14.14 m/s.

The given parameters:

The height from which the sphere was released is calculated as follows;

\(P.E = K.E\\\\mgh = \frac{1}{2}mv^2\\\\gh = \frac{1}{2}v^2\\\\h = \frac{v^2}{2g}\\\\h = \frac{(10)^2}{2(9.8)} \\\\h = 5.1 \ m\)

When the height is doubled, the speed of the sphere becomes;

\(h = \frac{v^2}{2g} \\\\v^2 = 2gh\\\\v = \sqrt{2gh} \\\\v = \sqrt{2 \times 9.8 \times (2 \times 5.1)} \\\\v = 14.14 \ m/s\)

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The pressure to atmospheres, divide the pressure by 101,325 Pa, which is the atmospheric pressure at sea level 116.1 atm.

Atmospheres is a measure of atmospheric pressure, defined as the pressure exerted by the weight of air above a given point. It is typically measured with a barometer, a device which measures the pressure of the surrounding air. Atmospheric pressure decreases with increasing altitude and is measured in units of atmospheres (atm). The average atmospheric pressure at sea level is approximately one atmosphere, or 101.3 kilopascals (kPa). The effects of atmospheric pressure can be seen in everyday life, as it affects the boiling point of water, the speed of sound, and the behavior of aircraft.

The pressure required to lift the car is:
P = (1200 kg * 9.8 m/s2) / A

Since the area is unknown, we can calculate the pressure in Pascals.
P = 11,760,000 Pa

To convert the pressure to atmospheres, divide the pressure by 101,325 Pa, which is the atmospheric pressure at sea level:
Atmospheres = 11,760,000 Pa / 101,325 Pa = 116.1 atm

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Force applied is directly proportional to displacement.

It is given by the formula

Here F is the force , k is the spring constant , x is the displacement.

Substituting the values,

Answer:

37.5 kg⋅m/s

Explanation:

p = mv

p = (1.5)(25) = 37.5 kg⋅m/s

Momentum is conserved in all collisions and explosions!

Answer:   1.195479Hz

I think

The smallest angle at which you would get destructive interference when 550 nm light passes two slits 50 μm apart is 0.32°.

The condition for destructive interference is gotten  by:

Δϕ = 2πΔx/λ = π

where Δx=  path difference between the two slits,

λ =  wavelength of light,

and Δϕ =  phase difference.

λ/2 = Δx sinθ

Here, θ is the angle between the incident light and the line connecting the center of the slits to the point of interest on the screen.

sinθ = (λ/2) / Δx = (550 nm / 2) / (50 μm) = 0.0055

θ = sin⁻¹(0.0055) = 0.32°

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The result of multiplying a particle's mass by its velocity is the fluctuation in momentum of a ball, which is 30 kg per second. Since momentum has both a magnitude and a direction, it is a vector quantity.

Almost every action that involves motion has momentum. It is an important tenet of physicsFor instance, if a team is moving forward and trying to stop, it will be difficult.

mv - mu, where u = 0 and v = 10 m/s, equals change in momentum.  Note that the ball moved from rest, therefore its initial velocity was zero (u = 0).

Momentum change is equal to mv mu, which is 3*10 - 3*0, or 30.

30 kg/s = change in momentum.

Momentum can be compared to the "power" a moving body has, or the amount of force it can exert on another body. For instance, a baseball that is thrown quickly (high velocity) and has a small bulk (big mass) can have the exact same momentum as a bowling ball that is travelling very slowly (low velocity).

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The wavelengths of solar energy that are absorbed by plants in photosynthesis are 700 nm to 400 nm.

Solar energy is the most promising, safest, cleanest, and most reliable source of energy.

It is obtained directly from the sun and is converted into thermal energy. Solar energy plays a crucial role in the photosynthesis process.

Through photosynthesis, plants transform solar energy into a form of chemical energy that can be used by all living organisms.

During photosynthesis, thermal energy is used to produce glucose and oxygen.

To sum up, visible light is a form of sunlight that is used for photosynthesis having wavelengths between 700 nm to 400 nm.

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In Stratosphere layer  the Concorde cruise, the troposphere wouldn't carry the Concorde. The temperature increases with weight in stratosphere.

The stratosphere layer is one of the layers of the atmosphere on Earth. In an upward direction, it is the second layer of the atmosphere. Right under the stratosphere is the lowest layer, the troposphere. The mesosphere is the stratosphere's higher-level neighbour. At mid-latitudes, the stratosphere's bottom is located around 10 kilometres (6.2 miles, or about 33,000 feet) above the surface. A 50 km altitude marks the stratosphere's highest point (31 miles). With latitude and seasonal changes, the height of the lower stratosphere varies. When compared to the poles, the lower boundary of the stratosphere can range from 7 km (4 miles) to 20 km (12 miles), or a height of 65,000 feet, close to the equator.

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Why Concorde jet was not cruise in Troposphere?