a car is traveling at 30 metres per second it accelerates steadily for 5 seconds after which it is travelling at 50 metres per second calculate its acceleration​

Answer:

Mars is an opportunity for humans to carry forward the light of consciousness, plus it is the closest planet like earth, it has land humans can land on and although its small, theres still water

Answer: 0.47 kg

Explanation:

The mass flow rate of the pump is 2.8 kg/s.

Given the density of the oil (kerosene) to be ρ= 0.75 kg/L

The volume of oil is equal to 10,000 L1 L = 0.001 m³Volume of oil = 10,000 × 0.001 = 10 m³Density of oil = mass/volume ⇒ mass = density × volume

Let m be the mass of oil.

m = ρV = 0.75 × 10 = 7.5 kg

The time taken to empty the tank is 45 minutes. 1 minute = 60 seconds

The time taken is t = 45 × 60 = 2,700 seconds.

Let the mass flow rate be m′. The mass flow rate is defined as the mass of fluid flowing per unit time.m′ = m/t = 7.5/2,700 kg/s= 0.00278 kg/s

Therefore, the mass flow rate of the pump is 2.8 kg/s.

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The phenomenon bending of a wave as it crosses from one medium to another is said to be refraction. The speeds of light in the water will be 2.25×10⁸ m/sec.

The phenomenon bending of a wave as it crosses from one medium to another is said to be refraction. The difference in density is the cause of the bending.

Refraction is a term that is used to describe the phenomenon of refraction."The change in direction of a wave traveling through one medium to another is known as refraction."

The following data are given in the problem;

C is the Speed of light in a vacuum =3×10⁸ m/sec.

n is an index of refraction for water = 1.333

v is the speed of light in the water=?

The index of refraction is the ratio of the speed of light in a vacuum to the speed of light in water. By the formula of the index of refraction.

\(\rm n=\frac{C}{V} \\\\ \rm V=\frac{C}{n}\\\\ \rm V=\frac{3\times10^8}{1.333}\\\\\ \rm V=225056264.1\;m/sec.\\\\\rm V=2.25\times10^8\;m/sec.\)

Hence the speed of light in the water will be 2.25×10⁸ m/sec.

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The phenomenon bending of a wave as it crosses from one medium to another is said to be refraction. The speeds of light in the water will be 2.25×10⁸ m/sec.

The phenomenon bending of a wave as it crosses from one medium to another is said to be refraction. The difference in density is the cause of the bending.

Refraction is a term that is used to describe the phenomenon of refraction."The change in direction of a wave traveling through one medium to another is known as refraction."

The following data are given in the problem;

C is the Speed of light in a vacuum =3×10⁸ m/sec.

n is an index of refraction for water = 1.333

v is the speed of light in the water=?

The index of refraction is the ratio of the speed of light in a vacuum to the speed of light in water. By the formula of the index of refraction.

\(n=\dfrac{c}{v}\)

\(V=\dfrac{c}{n}\)

\(V=\dfrac{3\times10^8}{1.333}\)

\(V=2.25\times 10^8 m/s\)

Hence the speed of light in the water will be 2.25×10⁸ m/sec.

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The possible valid accesses for an array a and vector v, each with 10 elements is given below:Array: a[0], a[1], a[2], a[3], a[4], a[5], a[6], a[7], a[8], a[9]Vector: v[0], v[1], v[2], v[3], v[4], v[5], v[6], v[7], v[8], v[9]

The term array is used to define a set of similar data types that are stored in contiguous memory blocks. The index of an array starts at 0, which means the first element of the array is stored at index 0. In the case of arrays, the elements must be of the same data type.The term vector is defined as a dynamic array, which means that the size of the vector can be changed during runtime. Vectors are defined in the same way as arrays, except that they have a dynamic size limit and can be easily resized.

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The parallel circuit containing three resistors' equivalent resistance is thus found to be 1.64 ohms.

The electrical resistance measured in Ohms is a measure of a conductor's ability to create a current of one amp when a voltage of one volt is applied across its terminals.

Ohm defines the "1 Ohm" measure of resistance as the distance between two places in a wire where 1 volt would push 1 amp, or 6.241 1018 electrons, when applied. Greek letter "," sometimes known as omega and pronounced "ohm," is typically used to denote this value in schematics.

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Answer:

B or 1.6

Explanation:

For optimal performance in the charge storage layer of a capacitor, you would choose material A: "high dielectric constant and low electrical resistivity".

The dielectric constant (ε) of a material is a measure of its ability to store electrical charge, and the electrical resistivity (ρ) is a measure of its resistance to the flow of electrical current. In a capacitor, the charge storage layer must have a high dielectric constant in order to store a large amount of electrical charge, and a low electrical resistivity in order to allow the charge to flow easily and quickly.

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Therefore, the direction of their cross product A × B is vertically up, which is option 5: Vertically Up.

Given that the vector A points South and the vector B points West.

What is the direction of their cross product A × B?

We know that the cross product A × B is a vector perpendicular to both A and B. Also, the direction of the cross product is given by the right-hand rule.

Moreover, the right-hand rule is used to find the direction of the cross product.

This rule states that when the thumb, the index finger, and the middle finger of the right hand are oriented according to the first, second, and third vectors, respectively, the direction of the curled fingers represents the direction of the cross product.

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The radius (in m) of curvature of the mirror is 111.25 cm.

The radius (in m) of curvature of the mirror needed to replace an 890mm focal length telephoto lens depends on the f-number of the camera lens.

This is because the radius of curvature is determined by the ratio of the lens's focal length to the aperture diameter (f-number).

Use the formula r = f / (2 x N), where r is the radius of curvature, f is the focal length, and N is the f-number.

In the case of an 890mm telephoto lens, and assuming the f-number is 4.0, the radius of curvature is r = 890 / (2 x 4.0) = 111.25m.

This is the radius of curvature needed for a mirror to replace the 890mm focal length telephoto lens.

In telephoto lenses, the light is reflected from the front surface of the mirror to the back surface, rather than traveling directly through the lens.

This means that the curvature of the mirror is especially important for telephoto lenses, as it affects the optical power of the lens and therefore the amount of light that is collected.

A larger radius of curvature means that the mirror will reflect more light, resulting in brighter images.

Therefore, a mirror with a radius of 111.25m (or greater) is needed to replace an 890mm focal length telephoto lens.

The larger the radius of curvature (Midror), the more light the mirror will be able to collect, resulting in brighter images.

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The principal axes are the coordinate axes (x, y, z), and the principal moments of inertia are 23mb^2, 20mb^2, and 20mb^2 for the x, y, and z axes, respectively.

To find the inertia tensor, principal axes, and principal moments of inertia for the three-particle system, we need to calculate the inertia tensor and diagonalize it.

The inertia tensor is given by the formula:

I_ij = Σ(m_k * (δ_ij * r_k^2 - r_ki * r_kj))

where I_ij is the (i,j)-th element of the inertia tensor, m_k is the mass of the k-th particle, δ_ij is the Kronecker delta, r_k^2 is the square of the distance from the k-th particle to the origin, and r_ki and r_kj are the components of the position vector of the k-th particle.

Let's calculate the inertia tensor for the given system:

I_xx = 3m * (0^2 + b^2 + b^2) + 4m * (0^2 + b^2 + (-b)^2) + 2m * (b^2 + (-b)^2 + 0^2)

= 9mb^2 + 12mb^2 + 2mb^2

= 23mb^2

I_xy = I_xz = I_yx = I_yz = I_zx = I_zy = 0

I_yy = 3m * (b^2 + 0^2 + b^2) + 4m * (b^2 + 0^2 + (-b)^2) + 2m * ((-b)^2 + b^2 + 0^2)

= 6mb^2 + 12mb^2 + 2mb^2

= 20mb^2

I_zz = 3m * (b^2 + b^2 + 0^2) + 4m * (b^2 + (-b)^2 + 0^2) + 2m * (0^2 + b^2 + 0^2)

= 6mb^2 + 12mb^2 + 2mb^2

= 20mb^2

Now, let's write down the inertia tensor:

I = | I_xx 0 0 |

| 0 I_yy 0 |

| 0 0 I_zz |

Diagonalizing the inertia tensor, we can obtain the principal axes and principal moments of inertia.

The diagonalized form of the inertia tensor is obtained by finding the eigenvalues and eigenvectors of the inertia tensor. Since the inertia tensor is already diagonal, the principal axes are the coordinate axes (x, y, and z), and the principal moments of inertia are the diagonal elements of the inertia tensor:

I_xx = 23mb^2

I_yy = 20mb^2

I_zz = 20mb^2

Therefore, the principal axes are the coordinate axes (x, y, z), and the principal moments of inertia are 23mb^2, 20mb^2, and 20mb^2 for the x, y, and z axes, respectively.

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To test the circuit breaker's tripping behavior, you can perform an overload test.

The following are the procedures for testing the circuit breaker:

Inspection:

Examine the circuit breaker for any visual harm or defects.

Ensure that all screws and terminals are secure and free of debris.

Continuity:

Use a multimeter to check the circuit breaker's continuity.

Ensure that there is continuity between the input and output wires of the circuit breaker and that the multimeter's resistance reading is zero when the breaker is closed.

Load:

Examine the circuit breaker's load-carrying capacity.

To do so, use a power source that is within the circuit breaker's current range and attach the circuit breaker to it.

As a result, the power source's current would flow through the circuit breaker.

Observe the tripping behavior:

After the power source has been connected, increase the current gradually to see if the circuit breaker trips at the appropriate value.

To do this, use a variable resistor or a load bank device to regulate the current flowing through the circuit breaker.

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Quotas are used by nations in international trade to control the amount of trade that occurs between them and other nations.

Governmental restrictions on the amount of a specific commodity that can be imported into a nation are known as import quotas. Such quotas are typically implemented to safeguard indigenous sectors and weaker producers.

Import quotas provide the advantage of maintaining domestic pricing, enabling domestic companies to capture a larger market share, and protecting emerging sectors. Its negative impact on efficiency is one drawback. Additionally, they do not generate revenue for the government and provide opportunity for corruption.

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The horizontal distance travelled by the football is 3.1 m.

The angle of projection of the football is calculated as follows;

tan ( θ ) = Vy / Vx

where;

tan ( θ ) = 5 / 3

tan ( θ ) = 1.667

θ = arc tan (1.667)

θ = 59⁰

The resultant velocity of the ball is calculated as follows;

v = √ (Vx² + Vy²)

v = √ (3² + 5²)

v = 5.83 m/s

The horizontal distance travelled by the football is calculated as follows;

x = v² sin(2θ) /g

where;

x = [ (5.83)² sin(2 x 59) /9.8 ]

x = 3.1 m

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The stars that stay on the main sequence for billions of years are called "main sequence stars".

A main sequence star is a star that is in the longest and most stable phase of its life. During this phase, the star is fusing hydrogen in its core to form helium, which releases energy and provides the pressure needed to counteract the gravitational collapse of the star. These stars are powered by nuclear fusion reactions that occur in their cores, which allow them to maintain a stable balance between gravity pulling inwards and pressure pushing outwards. The exact length of time that a star will stay on the main sequence depends on its mass, with lower-mass stars having longer lifetimes. However, even the longest-lived main sequence stars will eventually exhaust their fuel and evolve into different types of stars.

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Answer:

Force arrows are used to represent both the magnitude and direction of forces. The length of the arrow corresponds to the magnitude of the force, with longer arrows indicating forces with larger magnitudes. The direction of the arrow corresponds to the actual direction that the force is being exerted. Force arrows are used by scientists and engineers to predict the motion of an object based on the forces that are applied to it.

Let's go back to Amil and his box for a moment. To represent the force that he is exerting on the box, we can draw the box and then show the force using a force arrow, like this:

Explanation:

How would our force arrow change if he pushed the box with twice as much force? Because the magnitude of the force is doubled, the length of the force arrow should also be doubled.

Now, what if he didn't push directly to the right, but instead his arms made a 30-degree angle with the ground? In that case, the direction of the force arrow needs to change to show the direction in which the force is applied.

Option (A) is the correct answer.

The electric field strength at the midpoint between the + 7.5 nC point charge and the - 2.8 nC point charge can be calculated by,

E = k * Q / r²

where,

E = electric field strength,

k = Coulomb's constant (8.99 × 10^9 N.m²/C²),

Q = point charge,

r = distance between the two point charges

In the given problem,

+7.5 nC point charge is at a distance of 1.95 cm from the midpoint (-2.8 cm),

-2.8 nC point charge is also at a distance of 1.95 cm from the midpoint (+2.8 cm).

Since electric field is a vector quantity, at the midpoint it is equal to the vector sum of electric fields due to +7.5 nC and -2.8 nC point charges.

Therefore, the total electric field strength at the midpoint is given by:

E = k * (Q1 / r1² + Q2 / r2²)

Where,

Q1 = 7.5 nC,

r1 = 0.0195 m,

Q2 = -2.8 nC,

r2 = 0.0195 m

Plugging the values, we get;

E = 8.99 × 10^9 (7.5 × 10^-9 / (0.0195)^2 + (-2.8 × 10^-9 / (0.0195)^2))= 1.2 × 10^5 N/C

Therefore, the electric field strength at the midpoint between the two charges is 1.2×10^5 N/C.

Hence, option (A) is the correct answer.

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Answer:

Explanation:

The answer to your question would be number 2 amplitude and frequency are the same so the higher the frequency the higher the amplitude. As you can see in the picture wave E has the  highest frequency. which means since A has the lowest  frequency and E has the highest frequency answer 2 would be correct the amplitude increases from A to E.

Amplitude of a wave is the strength of the wave. It is measured from the central line of the wave to the top of the crest or bottom of the trough. Thus, higher amplitude waves will gives sharp crests and troughs. Here amplitude is increasing from A to E.

Amplitude is a parameter measuring the strength of a wave. It is the maximum displacement moved by the wave from its equilibrium position. The vibrational path will be twice that of the amplitude of the wave.

As the amplitude of the wave increases its intensity increases. Both are in direct proportion with the frequency and energy of a wave. For instance the amplification of sound waves increases the intensity of waves that we hear.

The distance between two consecutive crests or troughs is the wavelength of the wave not amplitude. Amplitude is measured from the axis line to the top of the crest thus, from exact middle of the wave crest to the top or to the bottom of trough.

Thus, higher amplitude waves will gives sharp crests and troughs. Here amplitude is increasing from A to E

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A pendulum clock on the surface of the earth has a period of 1.00 s. On a distant planet, the length of the pendulum must be shortened slightly to have a period of 1.00 s true about the acceleration due to gravity on the distant planet  option B: The gravitational acceleration on the planet is slightly less than g.

Any object within the gravitational field of the earth feels a tug. The acceleration that an object experiences due to the force of gravity acting on it is known as gravitational acceleration. Its symbol is "g," and its unit is "m/s2." The amount and direction of gravitational acceleration are both vector quantities. In physics, the term "gravitational acceleration" (symbolised "g") is used to describe the strength of a gravitational field. It is measured in m/s2, or metres per second squared. At the earth's surface, 1 g is equivalent to 9.8 m/s 2.

Einstein's concept of equivalence, which served as a cornerstone in the creation of the general theory of relativity, is the source of the term acceleration's application in relation to gravity.

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Complete Question is :

A frictionless pendulum clock on the surface of the earth has a period of 1.00 s. On a distant planet,

the length of the pendulum must be shortened slightly to have a period of 1.00 s. What is true

about the acceleration due to gravity on the distant planet?

A) The gravitational acceleration on the planet is slightly greater than g.

B) The gravitational acceleration on the planet is slightly less than g.

C) We cannot tell because we do not know the mass of the pendulum.

D) The gravitational acceleration on the planet is equal to g.

The reflection of the candle in the concave mirror formed an upside-down real image that is smaller than the candle.

The mirror is an optic device that can either be plane or curved that produces an image through the law of reflection.

There are three main types of mirror which includes:

The characteristics of the image formed by the concave mirror depends on the distance of the object from the mirror and it include the following:

Therefore, the reflection of the candle in the concave mirror formed an upside-down real image that is smaller than the candle.

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Answer:

A: The reflection of the candle in the concave mirror formed an upside-down real image that is smaller than the candle.

Explanation:

quick and simple

Explanation:

s = ut + 1/2at²

= 0(10) + 1/2×6.6×(10)²

= 3.3 × 100

= 330 m

A toy car that is 0.12 m long is used to model the actions of an actual car that is 6 m long. So, The acceleration of the actual car is 1515.15 m/s².

The solution to this question can be achieved through the use of the equation: F = ma Where F is force, m is mass, and a is acceleration.

Step 1: Calculating the mass of the toy car using the ratio of lengths m1/m2 = l1/l2, where m1 and m2 are the masses of the toy car and actual car, and l1 and l2 are their respective lengths.

Rearranging, we have:m1 = (l1/l2)m2 = (0.12 m)/(6 m) m2 = 0.02 m2

Step 2: Using the equation, F = ma, we can determine the mass of the toy car: F = ma2 N = (0.02 m2) a a = 2 N / 0.02 m2 = 100 m/s²

Step 3: Using the same force of 5 N, the acceleration of the actual car can be calculated:F = ma5 N = ma m = m2/l2 m = 0.02 m2 / 6 m = 0.0033 kg a = F/m a = 5 N / 0.0033 kg = 1515.15 m/s²

Therefore, the acceleration of the actual car is 1515.15 m/s².

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The probable question may be:

A toy car that is 0.12 m long is used to model the actions of an actual car that is 6 m long. The toy car is pushed with a force of 5 N, causing it to accelerate at a rate of 2 m/s². Assuming the same force is applied to the actual car, calculate the acceleration of the actual car.

Using the work done relation, the value of force is 25 Newton.

When a force is applied along a displacement, "work" in physics refers to the energy that is transported to or away from an object. The following situations include work: relocating a table. a door being pulled and pushed. Walking. raising a stone.

The work W that a force F traveling across a distance x exerts on an object is calculated using the formula W=Fs. If the object is moving in the opposite direction from how we expect it to, we add a minus sign.

Work done is equal to displacement times force.

50J = force × 2

f=50/2

Force = 25 Newton.

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Since the distance between them is 2.7 meters, the boat will also move a distance of 2.7 meters for Juliet to meet Romeo.

Displacement is the distance travelled in a specific direction. It is a vector quantity.

Given that Romeo (77kg) sings to Juliet (55kg) in the rear of a rowboat and he is 2.7 m away from Juliet. If after the song, Juliet carefully moves to the rear of the boat (away from the shore) to kiss Romeo which is 2.7 meters away, the distance covered by the 80 kg boat will also be equal to 2.7 m.

Since the distance between them is 2.7 meters, the boat will also move a distance of 2.7 meters for Juliet to meet Romeo.

Therefore, the answer will be 2.7 m

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The thermal capacitance of the coil is neglected with respect to the tank wall and the tank liquid. Energy balance is done only on the tank liquid. Option C is the correct answer.

The consequence of neglecting the thermal dynamics of the cooling coil in a stirred tank can vary depending on the specific situation and the magnitude of the neglected effects. However, in general, neglecting the thermal capacitance of the cooling coil in relation to the tank wall and the tank liquid can have the following consequences:

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Answer:

1.27 m/s.

Explanation:

The following data were obtained from the question:

Displacement (D) = 28 m

Time (t) = 22 secs

Velocity (v) =?

Velocity is simply defined as the rate of change of displacement of an object with time. It can be represented mathematically as:

Velocity (v) = Displacement (D) /Time (t)

v = D/t

With the above formula, we can obtain the swimmer's velocity as follow:

Displacement (D) = 28 m

Time (t) = 22 secs

Velocity (v) =?

v = D/t

v = 28/22

v = 1.27 m/s

Therefore, the swimmer's velocity is 1.27 m/s.

Answer:

1.3 m/s north

Explanation:

1. They have evolved their leaves into spikes for minimum water loss through transpiration.

2. They have a waxy layer for minimum water loss.

3. They have thick walls for minimum water loss.

4. They can take water from atmosphere.

5. They change the photo energy from Sun into an intermediate stage and store it, so that they can make food even in night.

Answer:

B. No, the net force is 65 mph drag.

Explanation:

The thrust speed is given by 235 mph

The wind's drag is given as 300 mph

Now, drag is the opposite of thrust as it opposes the motion of the plane.

Excess force = thrust - drag = 235 - 300 = -65 mph

Since it's negative, it means the plane wouldn't move forward as the resisting speed is more than the thrust speed.

Thus, the plane wouldn't have enough to fly because there is a net force of 65 mph drag.

Answer:

Mechanical energy in Joules:

348,041,980

The total mechanical energy of the airplane is equal to 348,041,980 Joules.

Given the following data:

Scientific data:

To calculate the total mechanical energy of the airplane:

The total mechanical energy possessed by this airplane is equal to the sum of both the potential energy and kinetic energy at the given altitude.

Mathematically, the total mechanical energy is given by this formula:

\(E = \frac{1}{2}mv^2 + mgh\)

Substituting the given parameters into the formula, we have;

\(E = \frac{1}{2}\times 14300 \times 214^2 + 14300 \times 9.8 \times 147\\\\E=7150 \times 45796 + 20600580\\\\E= 327441400 + 20600580\)

E = 348,041,980 Joules.

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