During a brake test, the rear-engine car is stopped from an initial speed of 86 km/h in a distance of 47 m. If it is known that all four wheels contribute equally to the braking force, determine the braking force F at each wheel. Assume a constant deceleration for the 1210-kg car.

1.Unit vector in the direction BA: BA/|BA| = (2/3, 2/3, 1/3)

2.The angular velocity (ω) of the body is given as 3 radians per second.

3.Without the position of point P given, it is not possible to write the position vector of P.

4.Left-handed rotation refers to the direction of rotation where the rotation follows the left-hand rule.

5.Position vector of point A: (4, 1, 1)

Position vector of point B: (2, -1, 0)

The direction vector BA = (-2, -2, -1)

1.To determine the unit vector pointing in the direction BA, we subtract the coordinates of point B from the coordinates of point A and normalize the resulting vector.

The direction vector BA is given by:

BA = (4 - 2, 1 - (-1), 1 - 0) = (2, 2, 1)

To obtain the unit vector in the direction of BA, we divide the direction vector by its magnitude:

|BA| = √(2^2 + 2^2 + 1^2) = √(4 + 4 + 1) = √9 = 3

Unit vector in the direction BA: BA/|BA| = (2/3, 2/3, 1/3)

2.The angular velocity (ω) of the body is given as 3 radians per second.

3.Without the position of point P given, it is not possible to write the position vector of P. Please provide the position of point P to proceed with the calculation.

4.Left-handed rotation refers to the direction of rotation where the rotation follows the left-hand rule. In a left-handed coordinate system, if you curl the fingers of your left hand in the direction of rotation, your thumb will point in the direction of the rotation axis. It is the opposite direction to a right-handed rotation.

5.The position vectors of points A and B are:

Position vector of point A: (4, 1, 1)

Position vector of point B: (2, -1, 0)

The direction vector BA can be obtained by subtracting the coordinates of point A from the coordinates of point B:

BA = (2 - 4, -1 - 1, 0 - 1) = (-2, -2, -1)

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The center of Milky Way Galaxy allows us to determine (d) mass of the Milky Way Galaxy that lies within 40,000 light-years of the galactic center.

What is Kepler's Third Law (Orbital Velocity Law) ?

The Orbital Velocity Law states that the orbital velocity is directly proportional to the body's mass for which it is being calculated and inversely proportional to the body's radius.

orbital velocity is the speed at which one body orbits the other body .

The term "orbit" refers to an object's consistent circular motion around the Earth.

From the above data , we can conclude that ,

A star orbiting 40,000 light-years from the center of the Milky Way Galaxy helps us to determine the mass of the Milky Way Galaxy that lies within 40,000 light-years of the galactic center.

Therefore , the correct option is (d) .

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Answer:

A) v = 31.8 m/s

B) v_f = 18.1 m/s

C) F_avg = 4130.7 N

Explanation:

A) From law of conservation of energy, we know that;

mgh = W_f + ½mv²

v is the speed at which she is going at the bottom of the slope.

Thus, making v the subject, we have;

v = √[2gh - (2W_f)/m)]

We are given;

h = 70 m

m = 58 kg

W_f = 1.04 × 10⁴ J = 10400 J

Thus;

v = √[(2 × 9.8 × 70) - (2 × 10400)/58)]

v = 31.8 m/s

B) Total force will be given by the formula;

F_t = F_k + F_r

Where;

F_k is force of kinetic friction = mg•μ_k

μ_k = 0.25

So, F_k = 58 × 9.8 × 0.25

F_k = 142.1 N

We are given force of air resistance(F_r) as 150 N

Thus;

F_t = 142.1 + 150

F_t = 292.1 N

Final velocity is gotten from the formula;

v_i² - v_f² = 2F_t•L/m

Thus;

v_f = √[v_i² - (2F_t•L/m)]

Where, v_i = 31.8 m/s, F_t = 292.1, m = 58 kg, L = 68 m

Thus;

v_f = √[31.8² - (2 × 292.1 × 68/58)]

v_f = 18.1 m/s

C) the average force exerted on her by the snowdrift as it stops her is given by the formula;

F_avg = m•v_f²/2l

F_avg = 58 × 18.1²/(2 × 2.3)

F_avg = 4130.7 N

Answer:

Atom - the basic particle of matter

Density - calculated from measurements of mass and volume

Motion - calculated from measurements of distance and time

Energy - can change form and move matter

Matter - the scientific word for stuff

Hope this helps! Please mark brainliest if correct :D

The period of oscillation is given 4s and the acceleration due to gravity g is 9.8 m/s². Then the length of the pendulum is 3.97 m.

The period of an oscillation or wave is the time taken for one complete cycle of oscillation or propagation of wave. It is the inverse of the frequency of oscillation.

The relation between time period, and length of pendulum is given by the equation:

T = 2π √l/g

then l = T²g/4 π²

Given, T = 4s

g = 9.8 m/s²

then, the length l = 4 s²×9.8 m/s²/4 π² = 3.97 m.

Therefore, the length of the pendulum is 3.97 m.

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Answer:

Z  = (R^2 + X^2)^1/2

At the resonant frequency, the quantity X equal zero and

w L - 1 / (w * C) equals zero where w is omega the angular frequency

Answer:

B. contain hydrogen

C. clouds of gas and dust

E. needed to create a star

Explanation:

A star is a giant astronomical or celestial object that is comprised of a luminous sphere of plasma, binded together by its own gravitational force.

Some of the examples of stars are; Vega, Sun (closest to planet Earth), Antares, Betelgeus, Canopus, etc.

Stars are typically made up of two (2) main hot gas, Hydrogen (H) and Helium (He). The chronological order in which the formation of a star occur are;

1. Gravity pulls gas and dust together to form dense cores.

2. A protostar forms as mass increases.

3. Nuclear fusion begins under high pressure.

Scientists have been able to understand and discover that, gravity pulled materials (low-density cloud of interstellar gas and dust known as a nebula) together forming the planetary bodies in our solar system.

A dark nebula can be defined as an interstellar cloud that is so dense as a result of high concentration of gas and dust and as such it obscures the visible wavelengths of light from stars behind it, thus appearing completely opaque (dark patch) in front of a bright emission nebula or in regions having plenty stars.

The characteristics of a nebulae are;

I. It contain hydrogen.

II. Clouds of gas and dust

III. It is needed to create a star.

Answer:

67.5km/hr

Explanation:

The average speed traveled is the total distance divided by the total time taken.

  Average speed  = \(\frac{total distance }{total time}\)  

   Distance  = speed x time

Time 1  = 2.5hrs

Speed 1  = 60km/h

    Distance 1   = 2.5 x 60  = 150km

Time 2  = 1.5hrs

Speed  2  = 80km/h

   Distance 2  = 1.5 x 80  = 120km

 Average speed  = \(\frac{150km + 120km }{2.5 + 1.5}\)   = 67.5km/hr

Explanation:

The most established layers are on the base, and the most youthful layers are on the top. Since dregs here and there incorporate once-living creatures, sedimentary stone regularly contains a great deal of fossils. Fossils are once living beings that have been transformed into rock, fit as a fiddle or type of the creature can in any case be seen.

Answer:

The current is  \(I = 1420 \ A\)

Explanation:

From the question we are told that

   The  diameter of the wire is  \(d = 5.68 \ mm = 0.00568 \ m\)

    The  magnetic field is  \(B = 0.100 \ T\)

Generally the radius of the wire is mathematically evaluated as

       \(r = \frac{d}{2}\)

substituting values

     \(r = \frac{ 0.00568}{2}\)

     \(r = 0.00284 \ m\)

Generally the magnetic field is mathematically represented as

       \(B = \frac{\mu_o * I}{ 2 \pi r }\)

=>    \(I =\frac{ B * 2 \pi r }{\mu_o}\)

Here \(\mu_o\) is the permeability of free space  with value \(\mu_o = 4 \pi *10^{-7} N/A^2\)

substituting values

=>     \(I =\frac{ 0.100 * 2 * 3.142 * 0.00284 }{ 4 \pi * 10^{-7}}\)

=>     \(I = 1420 \ A\)

The displacement x = -0.098 m

The maximum potential energy of the block  = 0.049 J

The maximum kinetic energy of the block = 0.075 J

The maximum velocity of the block  = 0.73 m/s

The velocity of the block at a distance of half the amplitude.= 0.60 m/s

To solve this problem, we will use the equations of motion for a mass-spring system.

The frequency of oscillation is given by:

f = 1/2π * √(k/m)

where

f is the frequency of oscillation, k is the spring constant, and

m is the mass of the block.

The force exerted by the spring is given by:

F = -kx

where

F is the force,

k is the spring constant, and

x is the displacement from the equilibrium position.

a. To find the displacement x, we can use the force equation:

1.0 N = -kx

using the equation for frequency:

1.2 Hz = 1/2π * √(k/0.28)

Solving for k, we get:

k = (1.2*2π)^2 * 0.28

k = 10.17 N/m

Now we can solve for x:

1.0 N = -(10.17 N/m) * x

x = -1.0 N / (10.17 N/m)

x = -0.098 m

b. The maximum potential energy of the block occurs at the maximum displacement from equilibrium, which we can find using the displacement x we just calculated:

= (1/2)kx^2 = (1/2)(10.17 N/m)(-0.098 m)^2 = 0.049 J

c. The maximum kinetic energy of the block occurs at the equilibrium position, where the velocity is maximum:

K_max = (1/2)mv^2

We can find the velocity using the frequency and the displacement:

v_max = 2πf * |x| = 2π(1.2 Hz)(0.098 m) = 0.73 m/s

Plugging in the values,

K_max = (1/2)(0.28 Kg)(0.73 m/s)^2 = 0.075 J

d. The maximum velocity = 0.73 m/s

e. To find the velocity of the block at a distance of half the amplitude, we can use the conservation of energy:

K_max + U_max = (1/2)kx^2 + (1/2)mv^2

At half the amplitude, the displacement is x/2:

K_max + U_max = (1/2)k(x/2)^2 + (1/2)mv^2

Solving for v, we get:

v = √[(K_max + U_max - (1/2)k(x/2)^2)/(1/2)m]

Plugging in the values, we get:

v = √[(0.075 J + 0.049 J - (1/2)(10.17 N/m)((-0.098 m)/2)^2)/(1/2)(0.28 Kg)]

v = 0.60 m/s

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Answer:

d.

50 m

Explanation:

v² = u² + 2as

s = (v² - u²) / 2a

s =(25² - 0²) / (2(6.25))

s = 50 m

For an airplane of mass 270,000 kg , the magnitude of the force exerted is mathematically given as

N2=1584431.13N

N1=1061568.87N

Generally, the equation for the Force balance is mathematically given as

N1+N2=270000*g

Therefore

N2*10=N1*15

N1=10N2/15

N1=0.67N2

Hence

0.67N2+N2=270000*g

N2=1584431.13N

N1=1061568.87N

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The five examples of pseudoscience found on the Internet include the following:

Pseudosciences is defined as the science that is regarded as false science because it deals with something that has no connection to proper scientific methodology and cannot be proven realistically.

The different types of Pseudosciences include the following:

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The bus resultant displacement is approximately 4.14 km at an angle of 59.5 degrees north of east.

The first movement is 2 km due east, which means it has an x-component of 2 km and a y-component of 0 km.

The second movement is 5 km at 45 degrees north of east. This can be broken down into x and y components using trigonometry: x = 5 km * cos(45) = 3.54 km y = 5 km * sin(45) = 3.54 km

The third movement is 4 km at 30 degrees north of west. This can also be broken down into x and y components using trigonometry: x = -4 km * cos(30) = -3.46 km (negative because it’s towards the west) y = 4 km * sin(30) = 2 km

The fourth movement is 2 km due south, which means it has an x-component of 0 km and a y-component of -2 km.

Adding up all the x and y components, we get: x_total = 2 + 3.54 + (-3.46) + 0 = 2.08 km y_total = 0 + 3.54 + 2 + (-2) = 3.54 km

The magnitude of the resultant displacement can be calculated using the Pythagorean theorem: resultant_displacement = sqrt(x_total^2 + y_total^2) = sqrt(2.08^2 + 3.54^2) ≈ 4.14 km

The direction of the resultant displacement can be calculated using the arctan function: direction = arctan(y_total / x_total) ≈ 59.5 degrees north of east

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Answer: STOP LOOKING FOR ANSWERS OMG:(((((9

Explanation:

The electric force in y-direction on upper drop is, -41.055 N.

The net force on y- direction is the sum of the forces on upper drop due to the two drops on x-axis.

Charge on upper drop is, -1.72 μC.

The charges are 769 nC = 0.769 μC

The distance between upper drop and the charge on x-axis is,

\(\sqrt{{1.09}^2+{12.8}^2}\ mm\)

= 12.84 mm

Force between two charges q1 and q2 placed at a distance r is,

\(F = \dfrac{kq_{1}q_{2}}{r^2}\)

The angle between y- axis and direction of force is, 4.867°.

The y-component of force on upper drop is,

\(F = \dfrac{k(0.769)(-1.72)}{0.00284^2} \times 10^{-12} \cos{4.867^{0}} + \dfrac{k(0.769)(-1.72)}{0.00284^2} \times 10^{-12} \cos{4.867^{0}} \\F = - 2 \times \dfrac{k(1.323)}{8.0656} \times 10^{-12+6} \cos{4.867^{0}} \\F = - 2 \times \dfrac{4 \pi \ 10^{-7}(1.323)}{8.0656} \times 10^{-6} \times \cos{4.867^{0}}\)

Solving further,

\(F = - 2 \times \dfrac{4 \pi \ 10^{7}(1.323)}{8.0656} \times 10^{-6} \times 0.996 \\F = - 4.122 \times 10 \times 0.996\\F = -41.055 N\)

The force in y-direction on upper drop is, -41.055 N.

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Answer:

volume is the amount of space occupied by matter

mass is the quantity of matter present in an object while weight is a measure of the pull of gravity on the object

Density is mass per unit volume

Explanation:

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An insulating vessel contains 80 g of a block of ice at -12 °C. If 450 g of water at 60 °C is added to the ice in the vessel, Energy required for complete melting = \(80 g X (3.33 X 10^3 J/kg)\).

To determine whether the ice will soften absolutely and calculate the final temperature of the system, we need to do not forget the strength transferred among the ice and water at some stage in the procedure.

(i) To decide if the ice will melt completely, we need to examine the energy won by using the ice to the electricity required for complete melting.

Energy received by way of the ice = mass of ice × particular heat capacity of ice × alternate in temperature

Energy won by using the ice = eighty g × 2100 J/(kg·°C) × (final temperature - (-12°C))

Energy required for complete melting = mass of ice × latent warmth of fusion of ice

Energy required for whole melting = 80 g × (3.33 × 10^3 J/kg)

If the strength received via the ice is extra than or same to the electricity required for entire melting, the ice will soften completely.

(ii) To calculate the very last temperature of the gadget, we want to keep in mind the power transferred between the ice and water.

Energy won by the water = mass of water × unique heat ability of water × trade in temperature

Energy received by using the water = 450 g × 4200 J/(kg·°C) × (final temperature - 60°C)

Since electricity is conserved inside the machine, the power gained by means of the ice and water need to be identical:

Energy gained through the ice = Energy won by the water

Using the equations above, we will installation the following equation:

80 g × 2100 J/(kg·°C) × (very last temperature - (-12°C)) = 450 g × 4200 J/(kg·°C) × (very last temperature - 60°C)

Thus, this the final temperature of the system.

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Considering the definition of precision and accuracy, the mass readings of the digital balance are accurate but not precise.

Precision as the proximity between the indications or measured values ​​of the same measurand, obtained in repeated measurements, under specified conditions.

Accuracy is defined as the closeness between the measured value and the "true" value of the measurand.

In other words, accuracy is how close a measurement is to the true value, while precision is how close the values ​​of several measurements are to a point.

Precision and accuracy are independent of each other. Thus, the results in the values ​​of a measurement can be precise and not exact (and vice versa).

A set of 500-g masses is placed one at a time on a digital balance during quality control testing. The mass readings are 397 g, 401 g, and 403 g.

In this case, the measurement is accurate, since the results of each individual measurement are quite similar. But the measurements are not exact (not precise) because the results are far from the real value.

In summary, the mass readings of the digital balance are accurate but not precise.

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Answer:

Explanation:

A leaf appears green becuase of photosyithesis

Milk appears white because all the corols are being aborseb

words on the page are black because all colors are being refcted.

Answer: Its Answered....Here it is

A wave  preserve its individuality while travelling through space.So when a Number of waves travel through a region at same time, each wave travels independently of the others i.e., as if all other waves were absent. That is why, with so many different musical instrument playing simultaneously in a full orchestra , we can still identify the note produced by an individual instrument. An important consequence of the independent behaviour of the Waves is the principle of superposition of waves.

Explanation:

Without knowing the forces exerted by Kari and Sandra, as well as the specific details about the stairs, we cannot determine who did more work. Option D

The amount of work done depends not only on the distance traveled but also on the force applied and the direction of the force. Without information about the force applied by both Kari and Sandra, we cannot determine who did more work.

Work is defined as the product of force and displacement in the direction of the force. In this case, the force exerted by Kari and Sandra while climbing the stairs is unknown.

If Kari and Sandra exerted the same amount of force while moving up the stairs, then the work done would be the same. However, if Sandra exerted a greater force compared to Kari, then Sandra would have done more work.

Additionally, the presence of stairs implies a vertical displacement. If Kari and Sandra were climbing stairs at the same height, the work done would be the same. However, if the stairs had different heights or slopes, the vertical displacement would differ, and that could affect the work done. Option D

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The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.

The p-waves travel with a constant velocity of 7 km/s

The time can be calculated by using the formula

t = d / v

where

T1 =  10:05 a.m

d is the distance they take to travel from the epicenter

v is the speed of the p-waves

On average, the speed of p-waves is

v = 7 km/s

d = 5600 km (given)

Substituting the values in the formula;

t = d / v

t = 5600 ÷ 7

t = 800 seconds

Converting into minutes,

t = 800 ÷ 60

t = 13.3

≈ 13 mins

T1 -  13 mins = T2

10:05 - 13 mins = 9.52 am

It means the earthquake occurred prior 13 minutes, that is at 9.52 am.

Therefore, the earthquake occurred at 9.52 am.

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Answer:

C. remix

Explanation:

A is wrong because the prefix ir- means not

B is wrong because the prefix un means not

C is correct because re means again

D is wrong because over means too much

Energy flows from the Sun to producers, then to primary consumers, secondary consumers, and potentially to tertiary consumers, forming a pyramid-shaped structure that represents the transfer of energy through different trophic levels in an ecosystem.

Energy flows in a specific order through various components of an ecosystem, starting with the Sun and progressing through producers and consumers. This flow of energy is known as the energy pyramid or trophic levels.

At the base of the energy pyramid is the Sun, which is the ultimate source of energy for most ecosystems on Earth. Sunlight provides the energy needed for photosynthesis, a process carried out by plants, algae, and some bacteria, collectively known as producers. These organisms convert solar energy into chemical energy through photosynthesis, using carbon dioxide and water to produce glucose and oxygen. This process captures and stores energy in the form of organic compounds.

The next level in the energy pyramid consists of primary consumers, also known as herbivores. These are animals that feed directly on producers, such as grazing animals or insects that consume plants. Herbivores obtain energy by consuming plant material and breaking down the organic compounds present in the plants into simpler forms, such as sugars and amino acids, through digestion.

Above the primary consumers are the secondary consumers, which are carnivores or omnivores that feed on herbivores. They obtain energy by consuming primary consumers and breaking down the organic compounds in their prey through digestion. This energy transfer continues up the trophic levels, with each level consuming the one below it.

At the top of the energy pyramid are tertiary consumers, which are typically apex predators. They are carnivores that consume other carnivores. Tertiary consumers obtain energy by consuming secondary consumers and breaking down the organic compounds in their prey.

It's important to note that energy is not efficiently transferred between trophic levels. Only a fraction of the energy consumed at each level is converted into biomass and passed on to the next level. This inefficiency is due to processes such as respiration, heat loss, and incomplete digestion.

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Answer:

Gravitational potential energy is mass of the object times the gravitational constant times the height of the object:

U = mgh (I will use 10 for the gravitational constant but you can use 9.8 or 9.81 or something even more accurate)

U = 280

The gravitational potential of the object is 280 joules

Answer:

The graph of the velocity of an object in free fall would look like a straight line sloping downward. As the object falls, its velocity increases at a constant rate, so the graph of its velocity versus time will be a straight line with a negative slope. This is because acceleration due to gravity is a constant -9.8 meters per second squared, so the velocity of a free-falling object will increase by 9.8 meters per second every second.

Therefore, the graph that shows the change in velocity of an object in free fall is a straight line with a negative slope. Here is an example of such a graph:

Free Fall Velocity Graph

Answer:

D. Thermoelectric thermometer

Explanation:

It preferred for rapidly changing temperature