While still moving upward, the elevator's speed decreases at a rate of 0.550 m/s2 for 3.00 s. What is the scale reading during this time

Explanation:

a) weight = m * g = 3 x 10^6 kg   * 10 m/s^2 = 3.0 x 10^7  N

b)    Thrust - weight = 3.3 x 10^7 N  - 3.0 x 10^7 N    = 3 x 10^6 N

c)  F = ma        3. x 10^6   =   3 X 10^6  * a     solve for 'a' = 1 m/s^2

d)  weightless  (but not massless)

The static thrust of the turbojet engine mounted on a stationary test stand at sea level, with inlet and exit areas at 1.0 atm and 800 K respectively, is b.) Thrust 32680N.

To calculate the static thrust of the engine, we can use the ideal rocket equation:

Thrust = mass flow rate * exhaust velocity

The mass flow rate can be calculated using the equation:

mass flow rate = air density * inlet area * inlet velocity

The exhaust velocity can be approximated as the exit area times the exit velocity.

Given that the engine is mounted on a stationary test stand at sea level, we can assume the inlet velocity is zero. Additionally, we know the inlet and exit areas, as well as the atmospheric pressure at sea level.

By calculating the mass flow rate and the exhaust velocity using the provided information and plugging them into the ideal rocket equation, we arrive at the static thrust of approximately 32680N.

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"The SI unit of volume is based on the SI unit of length, which is known to be cubic metres."

Volume is a term used to describe the amount of space occupied by a three-dimensional form or item. A cube's volume is equal to the cube of its third side's length. For instance, a cube whose edge length is 5 cm will have the following volume:

V = 5 × 5 × 5 cm equals 125 cubic cm

A solid's volume, which includes its length, area, and volume, is often expressed in cubic units. The volume of any object will be given in cubic metres, for instance, if the dimensions are given in metres. The International System of Units uses cubic metres as the default unit of volume. The same goes for different volume units, such as cubic centimetres, cubic inches, cubic feet, etc.

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Answer: The period of vibration for both vertical and horizontal motion is 0.9867 s.

Explanation:

The period of a spring-mass oscillator can be calculated using the equation:

T = 2π * √(m/k)

where T is the period of vibration, m is the mass of the object attached to the spring, and k is the spring constant.

a) Vertical Motion:

When the system is vertical, the weight of the mass acts downward and is balanced by the upward force of the spring. The effective force acting on the mass is the force due to gravity, which is equal to the weight of the mass (mg), minus the force exerted by the spring (kx).

At the equilibrium position, the net force is zero, so we have:

mg - kx = 0

Solving for x, we get:

x = mg/k = 10 kg * 9.81 m/s^2 / 20 N/m = 4.905 m

The period of vibration is:

T = 2π * √(m/k) = 2π * √(10 kg / 20 N/m) = 0.9867 s

b) Horizontal Motion:

When the system is horizontal, the weight of the mass acts downward, but the spring force acts horizontally in the opposite direction.

At the equilibrium position, the net force is zero, so we have:

mg = kx

Solving for x, we get:

x = mg/k = 10 kg * 9.81 m/s^2 / 20 N/m = 4.905 m

The period of vibration is:

T = 2π * √(m/k) = 2π * √(10 kg / 20 N/m) = 0.9867 s

Therefore, the period of vibration for both vertical and horizontal motion is 0.9867 s.

a) The angular acceleration of the automobile engine is 150 rev/min².

b) The engine makes 18360 revolutions during the 12 s interval.

(a) To find the angular acceleration of the automobile engine, we can use the formula:

α = (ω - ωᵢ) / t

where α is the angular acceleration, ω is the final angular speed, ωᵢ is the initial angular speed, and t is the time interval.

Substituting the given values, we get:

α = (3000 rev/min - 1200 rev/min) / (12 s) = 150 rev/min²

(b) To find the number of revolutions made by the engine during the 12 s interval, we can use the formula:

θ = ωᵢ t + (1/2) α t²

where θ is the angle traversed, ωᵢ is the initial angular speed, t is the time interval, and α is the angular acceleration.

Substituting the given values, we get:

θ = (1200 rev/min) (12 s) + (1/2) (150 rev/min²) (12 s)² = 18360 rev

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Complete question is:

The angular speed of an automobile engine is increased at a constant rate from 1200 rev/min to 3000 rev/min in 12 s.

(a) What is its angular acceleration in revolutions per minute-squared?

(b) How many revolutions does the engine make during this 12 s interval?

Answer:

960 Watt

Explanation:

From the question,

Electric power = Voltage squared/Resistance

P = V²/R ..................... Equation 1

Where P = power, V = Voltage, R = Resistance

Given: V = 120 volts, R = 15 ohms.

Substitute these values into equation 1

P = 120²/15

P = 14400/15

P = 960 Watt

Two point charges are separated by a distance d. The first has a charge of +2e, and the second has a charge of +3e. The new electric potential energy is the same as the original electric potential energy. (option C)

To determine how the electric potential energy of the +2e charge changes when it is moved to a new position, we need to consider the formula for electric potential energy and analyze the situation.

Electric potential energy formula:

The electric potential energy (PE) between two point charges is given by the formula PE = k * (q1 * q2) / r, where k is the electrostatic constant (k = 9.00 x 10^9 Nm²/C²), q1 and q2 are the charges of the two point charges, and r is the distance between them.

Original electric potential energy:

In the original position, the distance between the charges is d. Therefore, the original electric potential energy (PE_original) is given by PE_original = k * (2e * 3e) / d.

New position and distance:

In the new position, the distance between the charges is 4d. Therefore, the new electric potential energy (PE_new) is given by PE_new = k * (2e * 3e) / (4d).

Comparing the original and new electric potential energies:

To compare the two electric potential energies, we can simplify the expressions. By canceling out the common factors, we find that PE_new = PE_original.

Therefore, the new electric potential energy is the same as the original electric potential energy. Thus, the correct answer is C. The new electric potential energy is the same as the original electric potential energy.

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Answer:

A. freezing water widens the cracks in rocks

Explanation:

chemical weathering (from what i can tell anyways) is when water comes in contact with rocks and over time wears it down.

Given, acceleration of a particle on the x-axis is a = -v². The initial position and velocity are x(0) = 1, x'(0) = 2. We have to find the position, velocity, and acceleration as functions of time x(t), v(t), a(t). We can use the formulas below to solve the given problem. Position as a function of time, x(t)To find the position as a function of time x(t), we need to integrate the given acceleration function with respect to time.taking negative sign common we get,a = -v²dv/dx = -v dv = -v dx dv/v² = -dx x = ∫ dx/x² + cputting limits and solving the integral.

we get,x = 1/(v + c₁)Taking derivative both side w.r.t t,x'(t) = (-1/(v+c₁)²) . dv/dtTo find the value of constant c₁, we use the initial velocity,x'(0) = 2 = (-1/(v(0)+c₁)²) . dv/dt(2/1) = dv/dt ..... (1)Integrating both sides of the above equation with respect to t, we getv(t) = -2t + Cwhere C is the constant of integration. Substituting the value of v(t) in the equation x = 1/(v + c₁), we getx(t) = 1/(-2t + C + c₁)Velocity as a function of time, v(t).

The velocity as a function of time, v(t) is given byv(t) = -2t + C, where C is the constant of integration.Initial velocity is v(0) = -2(0) + C = C = 2Substituting this value in the above equation, we getv(t) = -2t + 2Acceleration as a function of time, a(t)Acceleration as a function of time is given bya(t) = -v²(t) = -(-2t+2)²= -(4t² - 8t + 4)= -4(t² - 2t + 1) = -4(t-

1)²Therefore, Position as a function of time, x(t) is x(t) = 1/(-2t + C + c₁).Velocity as a function of time, v(t) is v(t) = -2t + 2.Acceleration as a function of time, a(t) is a(t) = -4(t-1)².

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The bearing stress in this scenario is 2 kN/mm². To calculate the bearing stress, we need to use the formula:
Bearing Stress = Load / Contact Area

Substituting the given values:
Bearing Stress = 10 kn / 5 square mm
Bearing Stress = 2 N/mm^2

It is important to note that bearing stress is a measure of the force per unit area exerted on the contact surface between two components. In this case, the load is distributed over an area of 5 square mm, resulting in a bearing stress of 2 N/mm^2. It is important to ensure that the bearing stress is within the allowable limits to prevent failure or damage to the components.

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Answer:

Yes

Explanation:

You need data to be able to compare experiments and come up with predictions.

Tectonic plates, which are huge slabs of the Earth's lithosphere, split apart from one another during the geologic process known as seafloor spreading.

When two continental plates collide and slip under one another, this process is known as subduction.

At divergent plate borders, seafloor spreading happens. Heat from the convection currents in the mantle causes the crust to become less thick and more flexible when tectonic plates slowly drift apart from one another. Less dense material rises, frequently creating a mountain or elevated portion of the seafloor.

Large mountain ranges that rise from the ocean floor, known as mid-ocean ridges, are where seafloor spreading occurs. Seafloor spreading causes the Mid-Atlantic Ridge to form in the Atlantic Ocean.

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Answer: The time, t, is approximately 1.57 seconds

Explanation:

The data we have from the question;

Displacement = 2.0 meters

Acceleration due to gravity on the moon = 1.62

Initial velocity = 0 m/s

We can use the second equation of motion for this one;

S = ut + 1/2at²

Where:

- S is the displacement.

- u is the initial velocity.

- a is the acceleration.

- t is the time measured in seconds.

We are now ready to substitute;

2 = 0(t) + 1/2(1.62)t²

==> 2 = 0 + 0.81t²

==> 2/0.81 = 0.81t²/0.81

==> \(\sqrt{2.47}\) = \(\sqrt{t ^{2}\)

==> The time, t, is approximately 1.57 seconds

Hope this helped! Have a good day :D

Answer:

The velocity of a wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity. ... Longitudinal waves, such as sound, are transmitted through media with velocities depending on the density and elasticity of the substance

The speed of the stream when the distance and time taken to travel are given is calculated to be 1.41 km/h.

A boat takes 3.4 hrs to travel 30 km.

It takes 5 hrs to return through same distance.

The speed of the boat during the downstream is, v + u = D/t

where,

v is the speed of the boat

u is the speed of the stream

D is the total distance

t is the time

v + u = 30/3.4 = 8.82 km/h

v = (8.82 - u) km/h

The speed of the boat upstream is given as, v - u = D/t

Substituting the values into the above equation,

v - u = D/t

(8.82 - u) - u = 30/5

8.82 - 2 u = 6

2 u = 8.82 - 6

2 u = 2.82

u = 1.41 km/h

Thus, the speed of the stream is calculated to be 1.41 km/h.

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The location of the tubehead and the central ray's direction in a horizontal, or side-to-side, plane are referred to as horizontal angulation. Whether you use the paralleling or bisecting technique, the horizontal angulation stays the same.

The recorded image's length is determined by vertical angulation. When employing the paralleling technique and receptor holders, the holding device determines the vertical angulation, which causes the x-ray beam to be directed perpendicular to both the receptor and teeth.

Angles in the vertical: The long axis of the tooth and the film should both be perpendicular to the central ray of the x-ray beam. Horizontal angulation: Pass the x-ray beam's central ray via the contact points where the teeth are located.

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As the raindrops do not provide a continuous path to flow the electrons because the air between the rain droplets acts as an insulator, therefore, the person walking under an electric transmission line would not be electrocuted.

In physics, a conductor can be described as a type of material that allows the flow of charge in one or more directions. Electric current is produced by the flow of negatively charged electrons or ions in some cases.

Raindroplets have dissolved impurities which make them somewhat conductive of electricity, but conductors should be continuous to create a conducting path at normal voltages.

The electric current can only flow when there is a continuous path of conductive material providing a conductor for electrons to travel through. The continuous flow of electrons needs to be an unbroken path to allow it to flow.

Since the air can be considered an insulating material and an air gap separates prevents a continuous path has been broken therefore electrons cannot flow.

Therefore, due to the absence of the closed circuit, you would not be electrocuted during a rainstorm if you walked under an electric transmission line.

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Given:

Vector A = 63.5 m at 90 degrees

Vector B = 101 m at 57.0 degrees

Let's find the direction of the sum of these two vectors.

To find the direction, let's first find the x- and y-components of the vectors.

• Vector A:

• Vector B:

For the sum of components, we have:

x = Ax + Bx = 0 + 55 = 55 m

y = Ay + By = 63.5 + 84.7 = 148.2 m

Now, to find the direction of the sum, we have:

Plug in the values and solve for θ.

We have:

Therefore, the direction of the sum of the vectors is 69.6 degrees.

ANSWER:

69.6 degrees.

The force of friction between sled and snow 43 N.The correct answer is E. 43 N.

To solve this problem, we need to use trigonometry to find the horizontal and vertical components of the force being applied to the sled. The horizontal component of the force is given by:

Fhorizontal = Fapplied x cos(θ)

where Fapplied is the force being applied (85 N) and θ is the angle between the force and the ground (56°).

Plugging in the values, we get:

Fhorizontal = 85 N x cos(56°)

Fhorizontal ≈ 48 N

Since the sled is moving at a constant velocity, the force of friction must be equal and opposite to the horizontal component of the applied force.

Therefore, the force of friction is 48 N. Choice E. 43 N

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Answer:

5730 yr

Explanation:

25  = 100 (1/2)^11460/x       where x = half life

.25 = (1/2)^11460/x

log .25 / log.5   = 11460/x

x = 5730 yr

Holding Brick 2 in place requires more force than holding Brick 1 just beneath the water's surface due to the higher pressure and buoyant force acting on it at a greater depth.

The force needed to hold Brick 2 in place underwater is greater than the force needed to hold Brick 1 just beneath the surface. This difference in force is primarily due to the increased pressure acting on Brick 2 as a result of its deeper position in the water.

In this scenario, there are two main forces acting on the bricks: the gravitational force, also known as weight (W), and the buoyant force (Fb). The weight of the bricks remains constant regardless of their position, as it depends only on their mass and the acceleration due to gravity. The buoyant force, on the other hand, depends on the volume of fluid displaced by the bricks and the density of the fluid, which in this case is water.

The pressure in a fluid increases with depth, which means that the buoyant force acting on Brick 2 is greater than that acting on Brick 1. Consequently, to keep Brick 2 submerged at a depth of 2 feet, you would need to exert a greater force to counteract the increased buoyant force.

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Hey there!

Answer:

9.4 million kilometers (km) converted to light years would be 9.93580784e-7 I believe.

Hope this helps!

For most everyday objects, scientists use a balance to obtain an object's mass. A balance compares an object with a known mass to the object in question. One example of a balance is the triple beam balance.

Answer:

The total she has to pay is R8500 plus the 5% interest.

PLEASE ADD BRAINEEST

The effective resistance of the Parallel circuit is 3 ohms.

option B.

In a parallel circuit, the sum of the currents through each path is equal to the total current that flows from the source.

The total resistance or effective resistance in a Parallel circuit with the following formula:

1/Rt = 1/R1 + 1/R2

where;

1/Rt = 1/4 + 1/12

1/Rt = (3 + 1 ) / 12

Rt = ( 12 ) / ( 4 )

Rt = 3 ohms

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The stopper travels approximately 4.5 meters horizontally before hitting the ground.

We can use conservation of energy to solve this problem. At the highest point of the stopper's motion, all of its energy is in the form of potential energy, and at the lowest point (when it hits the ground), all of its energy is in the form of kinetic energy.

The potential energy of the stopper at the highest point is:

Ep = mgh

where m is the mass of the stopper, g is the acceleration due to gravity, and h is the height above the ground. Plugging in the values given in the problem, we get:

Ep = (0.150 kg) * (9.81 m/s²) * (2.3 m) ≈ 3.2 J

At the lowest point, all of the potential energy has been converted to kinetic energy:

Ek = (1/2) * mv²

where v is the speed of the stopper just before it hits the ground. Since the stopper is released from rest, we can use conservation of energy to equate the potential energy at the highest point to the kinetic energy just before hitting the ground:

Ep = Ek

mgh = (1/2) * mv²

Solving for v, we get:

v = √(2gh)

where h is the height from which the stopper was released. Plugging in the values given in the problem, we get:

v = √(2 * 9.81 m/s² * 2.3 m) ≈ 6.6 m/s

Now we can use the time it takes for the stopper to fall to the ground to calculate the horizontal distance it travels. The time is given by:

t = √(2h/g)

Plugging in the values given in the problem, we get:

t = √(2 * 2.3 m / 9.81 m/s²) ≈ 0.68 s

During this time, the stopper travels a horizontal distance given by:

d = vt

Plugging in the values we just calculated, we get:

d = (6.6 m/s) * (0.68 s) ≈ 4.5 m

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Answer:

as A increases, B decreases, and as B increases, A increases. Hope this helps!

Explanation:

Answer:

They both act between two bodies without any means of contact. However gravitational force acts on mass while the electric force acts on charge. Gravitational force are only attractive while electric field can be attractive/repulsive. Electric field is much stronger than gravitational field.

Explanation: