This wave is created by shaking the end of a string with a frequency of 30 Hz. Thegraph shows a snap-shot of how the string looks at a specific time.10643Oyx (cm)At what speed does this wave travel through the string?60 cm/s20 cm/s10 cm/s

Additional mass (payload)  of a helium baloon lift is , \(M_{payload}=853.47kg\)

What is mass?

The amount of matter in a particle or object is represented by the dimensionless quantity mass (symbolised m). The kilogram is the International System's (SI) preferred unit of mass (kg).

The weight of the helium gas, the skin, other components of the balloon's construction, as well as the payload, must be balanced by the buoyant force. Using this, we determine the necessary payload mass.

Given pair=  \(1.29kg/m^{3}\)

buoyant force b = V*pair g

\(=(\frac{4}{3} *\pi R^{3} ) pair*g\\=20179.87N\)

mass of helium is,

\(m=(\frac{4}{3} * \pi R^{3} )(0.179)\\m=285.7kg\)

so total mass, \(M=m+920kg\)

\(M=1205.7kg\)

so, b = \((M+M_{payload}) g\)

\(M_{payload}=853.47kg\)

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Fan made of plastic bottle is an innovative way to reuse plastic bottles and can be easily made at home. This can be done by following simple steps, and a few materials are required to make it. The fan can be created by using a plastic bottle, scissors, string, a ruler, and a marker.

First, the bottle needs to be cut into half, and the upper part needs to be cut into three equal sections, then fold each section to make a blade. With the help of a ruler and marker, make a mark on each section, then make a hole in the center of each blade. Insert a string through the holes and tie the ends of the strings. The fan is ready to use by holding the string and swinging it back and forth.

The use of plastic bottle fans can significantly reduce the number of plastic waste and provide a practical solution to avoid environmental pollution. Besides, it is easy to make, and the materials are readily available, which can be used for various occasions, such as picnics, camping, or any outdoor activities.

In conclusion, the creation of a fan made of plastic bottle with string is an excellent way to reuse plastic bottles and can be made with simple steps. This project encourages everyone to contribute to environmental protection by utilizing what is available at home and reducing the number of plastic wastes.

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Of the options listed, the only effect that can be caused by exposure to infrared light is overheating (option a).

Infrared light is a form of electromagnetic radiation that is invisible to the human eye but can be detected as heat. When exposed to high levels of infrared light, such as in close proximity to a powerful infrared source, it can lead to overheating of the body or objects. Skin cancer (option b) is not directly caused by infrared light. It is primarily associated with overexposure to ultraviolet (UV) radiation from the sun or artificial sources like tanning beds. UV radiation falls in the higher energy range of the electromagnetic spectrum, while infrared radiation has lower energy. Radiation sickness (option c) is caused by exposure to high-energy ionizing radiation, such as gamma rays or X-rays. Infrared light does not possess enough energy to cause ionization and is therefore not capable of inducing radiation sickness. Memory loss (option d) is not a known effect of exposure to infrared light. Memory loss can be attributed to various factors, such as neurological conditions, head injuries, or aging, but not specifically to infrared light exposure. In summary, while exposure to high levels of infrared light can lead to overheating, it does not cause skin cancer, radiation sickness, or memory loss.

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A) The magnitude of the electric dipole moment, 1.84 × 10⁻¹¹ C-m, B) The magnitude of electric field is 654.76 N/C.

Charge q₁ & q₂ = 4.60 nC = +4.6 × 10⁻⁹ C and -4.6 × 10⁻⁹ C

Distance between charges, d =  4 mm = 4 × 10⁻³ m

Dipole moment, p = dq = 4 × 10⁻³ × 4.6 × 10⁻⁹ = 1.84 × 10⁻¹¹ C-m

Angle between the electric field and line connecting the charge, θ = 36.7°

Torque exerted on the dipole, τ = 7.2 × 10⁻⁹ N-m

Let the magnitude of electric field is E.

Torque on dipole is formulated as, τ = dqEsinθ

7.2 × 10⁻⁹ = 4 × 10⁻³ × 4.6 × 10⁻⁹ × E × sin36.7

E = (7.2 × 10⁻⁹)/(4 × 10⁻³ × 4.6 × 10⁻⁹ × 0.597)

E = 654.76 N/C

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The results of the calculation are;

a) The feet spends 0.41 s in air

b) The highest point above board is 2.62 m

c) The velocity when her feet hit the water is  7.2 m/s

From the data presented;

v = u + at

But v = 0 m/s at the maximum height thus;

0 = 4 - (9.8 * t)

4 = 9.8 * t

t = 4/9.8

t = 0.41 s

b) from;

h = ut - 1/2gt^2

h = (4 * 0.41) - (0.5 * 9.8 * (0.41)^2)

h = 1.64 - 0.82

h = 0.82 m

The total height above board = 0.82 m + 1.8 m = 2.62 m

c) The total time in air is obtained from;

h = ut + 1/2gt^2

u = 0m/s because she dropped off the board

h = 1/2gt^2

2.62 = 0.5  * 9.8 * t^2

t = √2.62/0.5  * 9.8

t = 0.73 seconds

Hence, the velocity when her feet hit the water is obtained from;

v = u + gt

when u = 0 m/s

v = gt

v = 9.8 *  0.73 s

v = 7.2 m/s

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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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Answer:

20.65 m/s

Explanation:

You are gonna wanna use a calculator for this one

so we will write all the known variables:

h = 15.6 m

initial velocity (u) = 10.7 m/s

acceleration (a) = 10 m/s/s (gravity)

From the third equation of motion:

v² - u² = 2ah

v² - (10.7)² = 2(10)(15.5)

v² - (10.7)² = 312

v² = 312 + 114.49

v² = 426.49

v = 20.65 m/s

The equivalent impulse value imparted on the arrow is 2.37 Ns,

option A

The equivalent impulse value imparted on the arrow can be determined using the equation for impulse, which is given by;

Impulse = force x time.

Since the arrow is moving with a constant velocity, the time during which the force is applied can be determined using the principle of conservation of momentum. The change in momentum of the arrow-bow system is equal to the impulse applied to the arrow, and the force applied to the arrow is equal to the recoil force experienced by the bow.

The initial momentum of the arrow-bow system is equal to the mass of the arrow times its velocity. The final momentum of the arrow-bow system is equal to the mass of the bow times its recoil velocity.

The change in momentum of the arrow-bow system is given by:

Δp = pf - pi = (m_bow * v_recoil) - (m_arrow * v_arrow)

The impulse applied to the arrow is equal to the change in momentum of the arrow-bow system:

impulse = Δp = (m_bow * v_recoil) - (m_arrow * v_arrow)

Using the given masses and velocities, we can calculate the impulse:

impulse = (0.0245 kg) * (87.3 m/s) - (0.0272 kg) * (87.3 m/s) = 2.37 Ns

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Answer: Vector A⃗ has y-component Ay = +12.0 m . A⃗ makes an angle of 24.0 ∘ counterclockwise from the +y-axis

13. If the supply of gasoline rises, a substitute that may increase in demand could be electric or hybrid vehicles.

14. Here is how each of the following events may have affected the world price of oil using basic supply and demand analysis:

a. Tax credits offered for expenditures on home insulation would likely decrease the demand for oil as people would use less energy to heat their homes. This would lead to a decrease in the price of oil.

b. The completion of the Alaskan oil pipeline would increase the supply of oil, leading to a decrease in the price of oil.

c. The discovery of oil in Mexico and the North Sea would increase the supply of oil, leading to a decrease in the price of oil.

d. The popularity of Sport Utility Vehicles and minivans would increase the demand for oil as these vehicles typically consume more gasoline than smaller cars. This would lead to an increase in the price of oil.

e. The depletion of natural oil reserves would decrease the supply of oil, leading to an increase in the price of oil.

Answer:

idk but here u go

go ez im  not in high school

Explanation:

When you start pushing or pulling a stationary object with a constant force, it starts to move if the force you exert is greater than the net forces resisting the movement, such as friction and gravity. If the object starts to move at some speed, it will acquire kinetic energy. Kinetic energy is the energy an object has because of its motion.

Kinetic energy is the force that moves an object. If we want to accelerate something, we must apply a force.

Energy can take on a variety of shapes. Examples of these include: electric power, sound energy, energy source, nuclear and atomic energy, radiant energy, generate heat, mechanical energy, gravity, and so on. Each form has the ability to shift or transform into the others.

The term "energy" was initially employed in the realm of physics by Thomas Young (1773–1829), but it didn't catch on. Thomas Young later utilized interference experiments to demonstrate that light is a wave.

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Answer:

Explanation:

Given:

To Find:

Solution:

Here, we have a formula

Substituting the values

\(\implies\:\:F = \dfrac{G(1)(4)}{2^{2}}\)

\(\implies\:\:F = \dfrac{4G}{4}\)

\(\implies\:\:F = \dfrac{\cancel{4}G}{\cancel{4}}\)

\(\implies\:\:\red{F = G}\)

Know More:

The applied formula for the above solution is

\({\boxed{F_{G}=\dfrac{G.M_{1}.M_{2}}{r^{2}}}}\)

where,

The magnitude of force F₂ is determined as 0.38 N.

The magnitude of force (F₂) is calculated by applying Newton's second law of motion as follows;

F = ma

where;

The resultant forces in the x-direction is given as

F₁cosθ₁  +  F₂cosθ₂ = maₓ

(1.5 cos35) + F₂(cos45) = 1.5 x 1

1.23 + 0.71F₂ = 1.5

0.71F₂ = 1.5 - 1.23

0.71F₂ = 0.27

F₂ = 0.27/0.71

F₂ = 0.38 N

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Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.

To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.

In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.

To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.

Total cost covered by the five friends = Total cost - Cost of one person's meal

= (£12 x 6) - £12

= £72 - £12

= £60

Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).

Amount each friend needs to pay = Total cost covered by the five friends / Number of friends

= £60 / 5

= £12

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Venus has the longest time from sunrise to sunset, if a measuring instrument is placed at the planet's equator, so option 2 is correct.

A planet is a celestial body that revolves around the Sun, has enough mass to overcome rigid body forces and take on a hydrostatic stability shape (nearly round), and has cleared the area in and around its orbit.

The diurnal cycle on Mars is remarkably similar to that on Earth. 24 hours, 37 minutes, and 22 seconds comprise its sidereal day, whereas 24 hours, 39 minutes, and 35 seconds add up to its solar day. Thus, a Martian day (known as "sol") is about 40 minutes longer than an Earthly day.

Venus rotates once every 243 days on Earth. The day on Venus is longer than its orbit.

The smallest and nearest planet to the Sun in the Solar System is Mercury. It is the Sun's planet with the shortest orbital period, taking 87.97 Earth days.

Therefore, Venus has the longest time from sunrise to sunset, if a measuring instrument is placed at the planet's equator.

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Hi there!

We can use Ohm's law to solve for the resistance of the lamp.

\(V = IR\)

V = Voltage (V)
I = Current (A)
R = Resistance (Ω)

We can rearrange to solve for resistance.

\(R = \frac{V}{I}\\\)

Plug in the given values:

\(R = \frac{120}{0.5} = \boxed{240 \Omega}\)

If a wave has an amplitude of 0.0800 m and is moving 7.33 m/s. The

wavelength of the wave is 1.69m.

The wavelength of a wave can be determined using the equation:

Wavelength = velocity / frequency

To determine the frequency we need to calculate the reciprocal of the time it takes for one complete oscillation.

frequency = 1 / time

frequency = 1 / 0.230

frequency ≈ 4.35 Hz

Substitute the values into the wavelength equation:

wavelength = velocity / frequency

wavelength = 7.33 / 4.35

wavelength ≈ 1.69m

Therefore the wavelength of the wave is approximately 1.69 meters.

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Answer:

5m/s^2

Explanation:

The acceleration is the change in velocity per unit time.

Here the initial velocity is 0 the final velocity is 20.

So this formula is applicable.

V^2= u^2 + 2as

20^2 = 0^2+ 2a (s)

credit to ndungwaneayanda

Answer:

-12.1

Explanation:

i’m almost sure this is it, i’m checking my old answers

if not let me know and i’ll give you some more answers

(a) standard deviation = σ = 4.9996

(b) variance = σ² = 24.996

Given frequency table (find attached as Table 1);

(a) To find the sample standard deviation and sample variance, follow these steps;

i. Calculate the mid-point c for each group by using the mid-point formula;

c = (lower bound + upper bound) / 2

=> c = (6.51 + 8.50) / 2 = 7.505

=> c = (8.51 + 10.50) / 2 = 9.505

=> c = (10.51 + 12.50) / 2 = 11.505

=> c = (12.51 + 14.50) / 2 = 13.505

=> c = (14.51 + 16.50) / 2 = 15.505

So the new table becomes (find attached as Table 2);

ii. Calculate the total number of samples (n) which is the sum of all the frequencies.

n = 50+18+42+20+46

n = 176

iii. Calculate the mean (M)

This is done by first multiplying the midpoints by the corresponding frequencies and then dividing the result by the total number of samples (n).

M = [(7.505 x 50) + (9.505 x 18) + (11.505 x 42) + (13.505 x 20) + (15.505 x 46)] / 176

M = [375.25 + 171.09 + 483.21 + 270.1 + 713.23] / 176

M = [2012.88] / 176

M = 11.44

iv. Find the variance (σ²);

The variance is calculated using the following formula

σ² = [Σ(f x c²) - (n x M²)] / (n - 1)                ------------(i)

Where;

f = frequency of each boundary data point

=>  Let's first calculate Σ(f x c²).

This is done by finding the sum of the product of the frequency (f) of each boundary point and the square of their corresponding mid-points(c)

Σ(f x c²) = [(50 x 7.505²) + (18 x 9.505²) + (42 x 11.505²) + (20 x 13.505²) + (46 x 15.505²)]

Σ(f x c²) = [(2816.25125) + (1626.21045) + (5559.33105) + (3647.7005) + (11058.63115)]

Σ(f x c²) = 24708.1244

=> Now calculate (n x M²)

n x M² = 176 x 11.44²

n x M² = 23033.7536

=> Now substitute these values into equation (i) to calculate the variance

σ² = [Σ(f x c²) - (n x M²)] / (n - 1)

σ² = [24708.1244 - 23033.7536] / (176 - 1)

σ² = [4374.3708] / (175)

σ² = 24.996

Therefore, the variance is 24.996

v. Find the standard deviation (σ)

The standard deviation is the square root of the variance. i.e

σ = √σ²

σ = √24.996

σ = 4.9996

Therefore, the standard deviation is 4.9996

The height that will illustrate the distance will be d = 6.36m

Based on the information given, the length of the vine will be:

L = ✓(16² + 27.7)²

L = 32m

The velocity of Jane when she reaches position B will be:

V = ✓2gh

V = ✓(2 × 9.8 × 4.3)

V = 9.18m/s

We will apply the conversation of momentum. This will be:

50 × 9.18 = (50 + 80)V1

V1 = 3.53m/s

Therefore, the height that will illustrate the distance will be:

31.36² + d² = 32²

d² = 32² - 31.36²

d = 6.36m

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Answer:

same power source

can have more than 1 light bulb in a circuit

requires a source of energy

Explanation:

Answer:

The decay constant, or "lambda" (λ), is the rate at which a radioactive isotope decays. It is usually measured in units of inverse time, such as seconds. In this case, the decay constant can be calculated as follows:

16:42

λ = (ln(2)/3.57 x 106) x (5.78 x 1017) = 0.

Explanation:

Answer:

0.3 newtons

Explanation:

If the coefficient of kinetic friction between a crate and the floor is 0.20, then the fore needed to slide a 92 kg crate uniformly across the floor would be 180.504 N

Friction is a type of force that resists or prevents the relative motion of two physical objects when their surfaces come in contact.

The friction force prevents any two surfaces of objects from easily sliding over each other or slipping across one another. It depends upon the force applied to the object.

As given in the problem If the coefficient of kinetic friction between a crate and the floor is 0.20

The force needed = μN

where μ is the coefficient of the kinetic friction

μ =0.2

N is the normal force

N = mg

N = 92×9.81 N

Force needed to slide = 0.20× 92×9.81

                                     =180.504 N

Thus, The force needed to slide a 92 kg crate uniformly across the floor would be 180.504 N

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Answer with explanation: We need to determine the points where the function changes sign, the provided function:

The inflation points are at the following x values:

Answer:

The team must have a vast knowledge of thermodynamics

Explanation:

Just took the test!!!

Answer:

C. Thermodynamics

Explanation:

The total distance is 105 kilometers and the total displacement is 15 kilometers east. Option C

To calculate the total distance, we add the distances traveled in each leg of the journey: 60 kilometers (from A to B) + 45 kilometers (from B back to A) = 105 kilometers.

However, displacement refers to the change in position of an object in a straight line from its starting point to its ending point. In this case, since the boat starts and ends at the same point (A), the total displacement is zero.

Hence The total distance is 105 kilometers and the total displacement is 15 kilometers east.

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When the pressure (100 N) and weight (40 kg) are entered into the appropriate fields, the gravity is 2 m/s².

Force and acceleration are linked by the equation F=ma. The characters "F," "m," and "a" stand for acceleration, mass, and force, respectively. Force is the ability of one object to exert a pull or force on another. Acceleration is the rate at which an object's speed changes.

Speed increase is the pace of progress of speed. Acceleration typically indicates a change in speed, but not always. Because its velocity is changing in the opposite direction, even if an object moves in a circle at the same speed, it will still accelerate.

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