8. A child on a bike traveled 20 m east, and then 30 m north. What was the
displacement of the child?
O
O
CLEAR ALL
36 m, north
50 m, northeast
36 m, northeast
50 m, north

(a) The time taken for the projectile to reach the maximum height is 32.65 s.

(b) The horizontal range of the projectile is 9,049.1 m.

The given parameters:

The time taken for the projectile to reach the maximum height is calculated as follows;

\(v_f = u- gt\\\\0 = 320 - 9.8t\\\\9.8t = 320\\\\t = \frac{320}{9.8} \\\\t = 32.65 \ s\)

The horizontal range of the projectile is calculated as follows;

\(R = \frac{u^2 sin(2\theta)}{g} \\\\R = \frac{320^2 \times sin(2\times 30)}{9.8} \\\\R = 9,049.1 \ m\)

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Answer:

N

S.I unit for force is Newton

Chebyshev's inequality guarantees that at least 75% of completion times for the marathon race fall within 2 standard deviations of the mean. It provides a lower bound and is independent of the data's distribution shape.

Chebyshev's inequality states that for any set of data, regardless of the shape of its distribution, the proportion of data within k standard deviations of the mean is at least (1 - 1/k²), where k is a constant greater than 1.

In this case, the completion time for the marathon race has a mean of 2.4 hours and a standard deviation of 0.5 hours. Using Chebyshev's inequality with k = 2, we can determine the proportion of data within 2 standard deviations of the mean.

According to Chebyshev's inequality, at least (1 - 1/k²) proportion of the data lies within k standard deviations of the mean. Substituting k = 2 into the inequality:

(1 - 1/2²) = (1 - 1/4) = 3/4

Therefore, at least 3/4 or 75% of the data lies within 2 standard deviations of the mean. In other words, 75% of the completion times for the marathon race fall within the range of (mean - 2 * standard deviation) to (mean + 2 * standard deviation), which in this case is 1.4 hours to 3.4 hours.

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The fundamental frequency is 102.06 Hz m/s.

We need to know about the fundamental resonant frequency to solve this problem. When the string is vibrating at its lowest resonant frequency, it should follow the rule

λ = 2L

where λ is wavelength and L is the length of string

The transverse waves on a string also can be defined as

v = √(F . l/m)

where v is velocity, F is string tension, l is the length of string and m is mass

From the question above, we know that

l = 60 cm = 0.6 m

m = 8 g = 8 x 10¯³ kg

F = 200 N

By substituting the following equation, we can calculate the wavelength

λ = 2L

λ = 2 . 0.6

λ = 1.2 m

Find the speed of the wave

v = √(F . l/m)

v = √(200 . 0.6/(8 x 10¯³))

v = 122.47 m/s

Find the frequency

v = λ . f

122.47 = 1.2 . f

f = 102.06 Hz

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Answer to the first question-

Ans- The net force of the runner will be 280 N

Data obtained from the question-

The net force of the runner could be obtained by -

Net force = Exerting force - resistance force

Net force = 305 - 35

Net force = 280 N

So we can conclude that the runner's net force is 280 N

Answer to the second question-

Ans- The book will stay at rest

Explanation-

As we can see that the pushing force applied to the book is 3 N and the frictional force applied by the table is 7 N, so due to the overpowering frictional force in the opposite direction of the pushing force, the book will remain on its place until and unless a pushing force more significant than 7 N is applied on the book, in that case, the book will start moving in the right direction or in the direction of the pushing force.

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If a reddish and a bluish star have the same luminosity, then the reddish star must be larger than the bluish star. This is again due to the Stefan-Boltzmann law; since the cooler, red star must have more surface area than a hot blue star to produce the same luminosity.

Answer:

It gets hotter and hotter and it would start to be a liquid lava

Explanation:

Answer:

\(E=1.62\times 10^{14}\ J\)

Explanation:

Given that,

The mass of the paperclip, m = 1.8 g = 0.0018 kg

We need to find the energy obtained. The relation between mass and energy is given by :

\(E=mc^2\)

Where

c is the speed of light

So,

\(E=0.0018\times (3\times 10^8)^2\\\\E=1.62\times 10^{14}\ J\)

So, the energy obtained is \(1.62\times 10^{14}\ J\).

Answer:

you add

Explanation:

you should add the forces since they act in the same direction as that you'll resolve the two forces

The best physical property to focus on for the first step in separating the mixture would be magnetism, therefore the correct answer would be option C.

An area where the magnetic force is being applied might be described as a magnetic field. This area could be found around a magnet, magnetic substance, or electric charge.

The magnet's N-pole and S-pole have the strongest magnetic fields for a basic bar magnet. A magnet's north pole serves as the source of the magnetic field, which ends at the south pole.

As given in the problem Katie's teacher has given her a sample that contains a mixture of salt, sand, and iron fillings. She is instructed to separate the mixture into three individual components.

The first step in separating the mixture would be to separate iron fillings with the help of the property of magnetism as iron fillings are the magnetic material. therefore the correct answer would be option C.

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Answer:

don't know it is very complicated question

Static stretches are those in which you remain in a single position—standing, sitting, or lying still—for up to 45 seconds. Dynamic stretches are regulated motions that get your ligaments, muscles.

Movement is included into dynamic stretches, such as lunges with a torso twist. As opposed to dynamic stretches, static stretches include holding a stretched position for a while. Stretches that are static include the triceps stretch and the butterfly stretch.

A swimmer might, for instance, circle their arms before entering the water. A series of movements to get the body moving before engaging in any kind of exercise can also be considered dynamic stretches.

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The best pie crust is a perfect balance between fat, flour, and liquid.  is

To make a perfect pie dough .

"Pie" was the word for a magpie before it was a word for a pastry, from the Latin word for the bird, Pica (whence the name of the disorder that makes you eat weird things). Pica morphed into "pie" in Old French, following the proud French tradition of actually pronouncing as few consonants as possible.

pie, dish made by lining a shallow container with pastry and filling the container with a sweet or savoury mixture. A top crust may be added; the pie is baked until the crust is crisp and the filling is cooked through.

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The ideal proportion of oil, flour, and liquid goes into making the greatest pie crust. is to create the ideal pie dough.

Before it became a term for a baked food, "pie" was the Slang phrase for bird, Pix (whence the name of the disorder that makes you eat weird things). Following their noble French custom of genuinely speaking as few letters as possible, pica evolved into "pie" during Old French.

Pie is a dish that is created by lining the shallow dish with dough and filling it with either a sweet or spicy combination. Its pie is heated until the filling is heated all the way through and the top crust is crunchy.

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Answer:

B. Luminosity

Explanation:

The luminosity of a star is a measure of its brightness.

Have a good day and stay safe!

The wide wood pores that link to the tree's roots allow sap to be drawn up into the maple tree when it starts to freeze. The tree is really replenishing itself with fluids at this time from its roots.

As long as the temperature is below freezing and the sap is increasing, the process continues.

Water is drawn up from the roots to the top of the plant according to the cohesion-tension hypothesis of sap ascent. Water and minerals travel upward from the roots through the xylem due to a negative water potential gradient created by the evaporation of mesophyll cells in the leaves.

The water potential gets increasingly negative as you climb the tree, and these variations provide a pull or tension that causes the water to ascend the tree. The loss of water from the leaves through a process called transpiration is a crucial element in the draw of water up the tree.

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The body's acceleration is equal to zero if the total external force exerted on it is zero.

When F, the net force, is zero, it can be demonstrated that Newton's First Law is a particular case of the Second Law. The acceleration must also be zero at that point. The velocity stays the same since acceleration is determined by dividing the change in velocity by the amount of time that has passed.

The object will move at a constant speed if there is no acceleration. We may examine Newton's second law and the acceleration formula mathematically. We are aware that there is no force. The acceleration must be zero because we are aware that the mass cannot be zero.

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Microwaves are most energy efficient way to send information.

Electromagnetic waves are a general term for familiar light and radio waves, but they also include gamma rays, X-rays, ultraviolet rays, and infrared rays. All of these forms of electromagnetic radiation or waves travel at the speed of light, the highest possible speed. The only difference between these types of electromagnetic waves is their length, or wave, or "wavelength." Another way to characterize waves is the number of waves received per second, since they all travel at the speed of light. This is the wave frequency. A specific range of radio frequencies from 1 GHz to 10 GHz, "microwaves", is particularly well suited for interstellar communications. At lower frequencies, our galaxy emits enormous amounts of radio waves, creating a large amount of background noise. At higher frequencies, the Earth's atmosphere, and possibly other Earth-like planets, absorb and emit a wide range of radio frequencies. The result is a quiet "microwave window" that enables efficient wireless communication.

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The required, "Microprocessors are faster, smaller, and less expensive than integrated circuits." option B is correct.

To further elaborate on the difference between a microprocessor and an integrated circuit:

An integrated circuit (IC) refers to a miniature electronic circuit that is made up of various components, such as transistors, resistors, and capacitors, all fabricated onto a single semiconductor material (typically silicon). Integrated circuits can serve various functions, such as amplification, switching, and signal processing. They are commonly used in electronic devices, ranging from simple appliances to complex systems.

On the other hand, a microprocessor is a specific type of integrated circuit that serves as the central processing unit (CPU) of a computer or electronic device. It is designed to execute instructions and perform calculations for the device. Microprocessors contain an arithmetic logic unit (ALU), a control unit, and registers. They are capable of executing instructions, managing data storage and retrieval, and controlling the overall operation of a system.

While both microprocessors and integrated circuits are made using similar fabrication processes, the key distinction lies in their functionality and purpose. Integrated circuits can serve a wide range of functions, while microprocessors specifically focus on computation and control tasks.

In terms of the provided options, option B accurately captures the main differences between microprocessors and integrated circuits, highlighting their relative speed, size, and cost characteristics.

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The question seems to be incomplete, the question is given below:

How is a microprocessor different from an integrated circuit?

A. Microprocessors are the size of your thumb and integrated circuits are the size of your hand.

B. Microprocessors are faster, smaller, and less expensive than integrated circuits.

C. Microprocessors control the flow of electrons and integrated circuits control the flow of protons.

D. Microprocessors include tape and disk storage whereas integrated circuits are part of an operating system.

The potential energy when the two point charges are four times as far apart would be one-sixteenth (1/16) of the original potential energy, given that potential energy is inversely proportional to the distance between the charges.

When two point charges are placed a certain distance d apart, there is a specific amount of electrical potential energy, u. This potential energy comes from the electrostatic attraction between the two charges.

As the two charges are placed further apart, the amount of potential energy between them decreases. Therefore, when the two charges are four times the original distance d apart, their potential energy is also reduced by a factor of four.

This is due to the fact that as the distance is increased, the strength of the electrostatic attraction between the two charges also decreases, thus reducing the amount of potential energy. The decrease in potential energy is proportional to the square of the increase in distance.

Therefore, when two charges are four times as far apart, the electric potential energy between them is decreased to 1/16 of the initial value.

In conclusion, The electrical potential energy between two point charges is inversely proportional to the distance between them. If the potential energy is u when the charges are a distance d apart, then when they are fourfold as far apart (4d), the potential energy will be one-sixteenth (1/4^2) of the original value (u/16).

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a. The force on object A can be determined using Coulomb's law, which states that the force between two charged objects is proportional to the product of their charges and inversely proportional to the square of the distance between them. Since object B experiences a force of 0.39 N, the force on object A would be the same, as the forces are equal in magnitude and opposite in direction. Therefore, the force on object A is also 0.39 N.

b. We know that object A has twice the charge of object B. Let's denote the charge on object B as qB. Since object A has twice the charge, the charge on object A would be 2qB.

c. The initial acceleration of object A can be calculated using Newton's second law, which states that the force acting on an object is equal to its mass multiplied by its acceleration. We know the force on object A is 0.39 N and its mass is 550 g (0.55 kg). Therefore, the initial acceleration of object A can be calculated as follows:

Force = Mass × Acceleration

0.39 N = 0.55 kg × Acceleration

Solving for acceleration:

Acceleration = 0.39 N / 0.55 kg

The initial acceleration of object A is approximately 0.709 m/s^2.

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The distance between second-order fringes for the 720-nm wavelength is 1.18 mm, and for the 650-nm wavelength, it is 1.03 mm.

The distance between second-order fringes for two wavelengths, we can use the formula:

δy = λD/d

Where δy is the distance between adjacent fringes, λ is the wavelength of light, D is the distance from the slits to the screen, and d is the distance between the two slits.

For the 720-nm wavelength, we have:

δy = (720 × 10⁻⁹ m)(1.0 m)/(0.61 × 10⁻³ m) = 1.18 mm

For the 650-nm wavelength, we have:

δy = (650 × 10⁻⁹ m)(1.0 m)/(0.61 × 10⁻³ m) = 1.03 mm

The distance between second-order fringes for the 720-nm wavelength is 1.18 mm, and for the 650-nm wavelength, it is 1.03 mm.

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Answer:

32A

Explanation:

So, 160=1*5

I = 160/5

=32 ampere

The acceleration of the refrigerator is approximately 7.6 m/s^2.

The acceleration of the refrigerator, we can use the equation for the net force on an object on an inclined plane.

The equation is: Net force = mass * acceleration

First, let's find the net force acting on the refrigerator. The net force is the force of gravity pulling it down the ramp minus the force of friction.
 
The force of gravity can be found using the equation: force of gravity = mass * gravity

The force of friction can be found using the equation: force of friction = coefficient of friction * normal force

The normal force is the force perpendicular to the ramp, and it can be found using the equation: normal force = mass * gravity * cos(angle)

In this case, the angle is given as 23 degrees.

Substituting these values into the equations, we get:

Force of gravity = mass * gravity = mass * \(9.8 m/s^2\)

Normal force = mass * gravity * cos(angle) = mass * \(9.8 m/s^2 * cos(23 degrees)\)
Force of friction = coefficient of friction * normal force = 0.25 * mass * \(9.8 m/s^2 * cos(23 degrees)\)

Now, we can calculate the net force:

Net force = force of gravity - force of friction
Net force = mass * \(9.8 m/s^2 - 0.25 * mass * 9.8 m/s^2 * cos(23 degrees)\)
Finally, we can find the acceleration using the equation:

Net force = mass * acceleration
mass * acceleration = mass * \(9.8 m/s^2 - 0.25 * mass * 9.8 m/s^2 * cos(23 degrees)\)
Simplifying the equation, we can cancel out the mass:

acceleration = \(9.8 m/s^2 - 0.25 * 9.8 m/s^2 * cos(23 degrees)\)

Plugging in the values and calculating, we find:

acceleration ≈ \(9.8 m/s^2 - 0.25 * 9.8 m/s^2 * cos(23 degrees) ≈ 9.8 m/s^2 - 2.2 m/s^2 ≈ 7.6 m/s^2\)

So, the acceleration of the refrigerator is approximately 7.6 m/s^2.

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The acceleration of the refrigerator can be determined by analyzing the forces acting on it. In this case, the main forces are gravity and friction.

First, let's find the force due to gravity acting on the refrigerator. We can calculate this force using the formula:

Force of gravity = mass * acceleration due to gravity

Next, let's find the force of friction. The formula for frictional force is:

Force of friction = coefficient of kinetic friction * normal force

The normal force is the force exerted by the ramp on the refrigerator and can be calculated using:

Normal force = mass * gravitational acceleration * cosine(angle of the ramp)

Now, let's find the net force acting on the refrigerator. Since the refrigerator is sliding down the ramp, the net force can be calculated as:

Net force = Force of gravity - Force of friction

Finally, we can determine the acceleration using Newton's second law:

Acceleration = Net force / mass

By plugging in the given values into the equations and performing the calculations, you can find the acceleration of the refrigerator.

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The current in the resistor is 7.48 mA, and its accuracy is 18.3%.

2-3The resistors in Problem 2-2 are specified at 25∘C, and their temperature coefficient is −300ppm/∘C. Calculate the maximum and minimum resistance for these components at 100∘C.Resistors in problem 2-2 are specified at 25∘C, and their temperature coefficient is −300 ppm/∘C, the maximum and minimum resistance for these components at 100 ∘C is given by:R = R0 (1 + αΔT)

The temperature coefficient is −300 ppm/∘C = −300 × 10⁻⁶ / ∘C = −0.0003 / ∘C

The temperature change ΔT is (100 − 25) = 75∘C

Maximum resistance:

Rmax = R0 (1 + αΔT) = 15 kΩ (1 + (−0.0003 / ∘C) × 75 ∘C) = 14.52 kΩ ≈ 14.5 kΩ

Minimum resistance:Rmin = R0 (1 + αΔT) = 15 kΩ (1 + (0.0003 / ∘C) × 75 ∘C) = 15.48 kΩ ≈ 15.5 kΩ

The maximum and minimum resistance for these components at 100 ∘C are 14.5 kΩ and 15.5 kΩ, respectively.

2-4The digital and analog instruments' measurement precision in Figure 2-1 can be estimated as follows:

Digital instrumentsMeasurement precision of the digital instrument in Figure 2-2(b) can be estimated as follows: 2-6A 1kΩ potentiometer that has a resolution of 0.5 Ω is used as a potential divider with a 10 V supply. The precision of the output voltage is given by:

ΔVout = (R/10 kΩ) × ΔVp = (1000 Ω / 10 kΩ) × 0.5 Ω = 0.05 V = 50 mV

The precision of the output voltage is 50 mV.2-7

Three of the resistors referred to in Problem 2-2 are connected in series. One has a ±5% tolerance, and the other two are ±10%. The maximum and minimum values of the total resistance are given by:

Maximum resistance:Rmax = (15 + 15 × 0.1) × (10 + 10 × 0.1) × (10 + 10 × 0.05) / 1000 = 38.61 Ω ≈ 38.6 Ω

Minimum resistance:Rmin = (15 − 15 × 0.1) × (10 − 10 × 0.1) × (10 − 10 × 0.05) / 1000 = 7.66 Ω ≈ 7.7 Ω

The maximum and minimum values of the total resistance are 38.6 Ω and 7.7 Ω, respectively.

2-8A DC power supply provides currents to four electronic circuits. The maximum and minimum levels of the total supply current are given by:Maximum level of total supply current:Minimum level of total supply current:

2-9The maximum and minimum levels of the current in R1 can be calculated as follows:Maximum current in R1:Minimum current in R1:

Therefore, the maximum and minimum levels of the current in R1 are 31.28 mA and 26.52 mA, respectively.

2-10The level of current in the resistor and its accuracy can be calculated as follows:Total voltage across the resistor:V = V1 − V2 = 12 V − 5 V = 7 V

Maximum voltage across the resistor:Minimum voltage across the resistor:Resistance of the resistor:

R = 470 ΩMaximum resistance:Minimum resistance: Current in the resistor:

The absolute error is given by:ΔI = I × [(ΔV1/V1)² + (ΔV2/V2)² + (ΔR/R)²]½ΔI = 7.48 mA × [(0.5 V/12 V)² + (0.05 × 470 Ω/470 Ω)² + (0.05)²]½= 1.37 mAThe relative error is given by:

Relative error = (ΔI / I) × 100%Relative error = (1.37 mA / 7.48 mA) × 100% = 18.3%

Therefore, the current in the resistor is 7.48 mA, and its accuracy is 18.3%.

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The jovian planets in our solar system include Jupiter, Saturn, Uranus, and Neptune. These gas giants are distinct from the terrestrial planets like Mercury, Venus, Earth, and Mars.

Jovian planets, namely Jupiter, Saturn, Uranus, and Neptune, are characterized by their composition and physical properties. They are primarily composed of gases and lack a solid surface. Jovian planets are much larger in size compared to the terrestrial planets.

They possess thick atmospheres with swirling cloud formations and dynamic weather systems. These gas giants also have a significant number of moons and are accompanied by planetary rings made up of dust and ice particles.

Jovian planets are located farther away from the Sun and have lower densities compared to the terrestrial planets. Their unique characteristics distinguish them from the rocky, inner planets like Mercury, Venus, Earth, and Mars.

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Answer:that's 16 I think Explanation:

Answer:

It is either 16 or 17

Explanation:

:)

To solve this problem, you can use the equations of motion for rotational motion under constant acceleration:

ωf = ωi + αt --(1)

θ = ωit + 0.5αt^2 --(2)

where ωi is the initial angular velocity, ωf is the final angular velocity, α is the angular acceleration, t is the time elapsed, and θ is the angular displacement.

Using equation (1), we can find the angular acceleration of the wheel:

α = (ωf - ωi)/t

= (30.0 rad/s - 10.0 rad/s)/20.0 s

= 1.0 rad/s^2

Using equation (2), we can find the total angular displacement of the wheel during the 20.0 seconds:

θ = ωit + 0.5αt^2

= 10.0 rad/s × 20.0 s + 0.5 × 1.0 rad/s^2 × (20.0 s)^2

= 400.0 rad

To find the time at which the wheel has undergone half of this angular displacement, we can use equation (2) again:

θ/2 = ωit + 0.5αt^2

Rearranging and solving for t, we get:

t = [(-ωi) ± sqrt(ωi^2 + 2αθ)]/α

Since we are looking for a positive time, we take the positive root:

t = [(-10.0 rad/s) ± sqrt((10.0 rad/s)^2 + 2 × 1.0 rad/s^2 × 400.0 rad)]/1.0 rad/s^2

≈ 12.4 s

Therefore, the answer is B, 12.4 s.