3. a playground slide is in the form of an arc of a circle with a maximum height of 2.5 m, with a radius of 8.8 m, and with the ground tangent to the circle. a 16 kg toddler starts from rest at the top of the slide and has a speed of 3.4 m/s at the bottom. a. what is the length of the slide? b. what average frictional force acts on the toddler over this distance?

Answer:

they are going to attract

Explanation:

Given,

The moment of inertia of the wheel, I=0.994 kg·m²

The inner radius of the ring, r=25 cm=0.25 m

The outer radius of the ring, R=35 cm=0.35 m

The force applied by the captain, F=310 N

The force applied by the helmsman, f=286 N

The torque is the measure of the rotation caused by an applied force.

The torque of the wheel is given by,

Where α is the angular acceleration of the wheel.

On substituting the known values,

Therefore the angular acceleration of the wheel is 22.7 rad/s²

If two vectors are represented both in magnitude and direction by the two adjacent sides of a triangle taken in an order, then their resultant is given by the third side taken in the reverse order.

Resultant vector :

                         R = sqrt of A^2 + B^2 + 2ABcosθ

given :

          A = 200 units

          B = 300 units

          θ = 30 degrees

∴ R = sqrt of 200^2 + 300^2 + 2(200)(300)cos35

the answer is 477.805656

Answer:

it will decrease speed

Explanation:

Answer:

it's b

Explanation:

A bicyclist starts from rest and accelerates along a straight path to a speed of 12. 15 m/s in a time of 4. 5 seconds. The bicyclist’s acceleration to the nearest tenth of a m/s2 is: C. 2.7 m/\(s^{2}\).

Acceleration is calculated by subtracting the initial velocity from the final velocity and dividing by the time.

Mathematically, acceleration is given by the formula;

A=\(\frac{V-U}{t}\)

Substituting the given parameters into the formula, we have;

\(A=\frac{12.5-0}{4.5}\)

\(A=\frac{12.5}{4.5}\)

Acceleration, A = 2.7 \(m/s^{2}\)

Therefore, the cyclist's acceleration to the nearest tenth is 2.7 \(m/s^{2}\)

According to estimates of the power needed to ride, cyclists deliver about 150 W when riding level terrain, but this increases to about 250 W when cycling up hills.

On the flat, the average acceleration is 0.231 m/s2, and the average power output during the acceleration phase—which has an average duration of 26 s—is about 120 W.

Professional cyclists typically travel at 25 to 28 mph while on level ground. On flat ground, the average amateur cyclist moves at a speed of 17–18 mph.

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The current drawn by the load is 9.17 A.

Current can be defined as the rate of flow of electric charge round a circuit.

To calculate the current drawn by the load, we use the formula below.

Formula:

Where:

From the question,

Given:

Susbtitute these values into equation 1

Hence, the current drawn by the load is 9.17 A.

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The main advantage of the scientific method is that it is a systematic and objective way to acquire knowledge. The scientific method is a process for acquiring knowledge that has been used to great success in understanding the physical world. Astrology, on the other hand, is based on subjective interpretations of the positions of the stars and planets.

The scientific method is a process for acquiring knowledge that has been used to great success in understanding the physical world. It is based on the following steps:

1. **Observation:** The scientist observes a phenomenon and asks questions about it.

2. **Hypothesis:** The scientist proposes a hypothesis, or a possible explanation for the phenomenon.

3. **Experimentation:** The scientist designs experiments to test the hypothesis.

4. **Data analysis:** The scientist collects data from the experiments and analyzes it.

5. **Conclusion:** The scientist draws a conclusion about the hypothesis based on the data analysis.

The scientific method is an iterative process, meaning that the scientist may go back and forth between the different steps as needed.

Astrology, on the other hand, is a system of divination that attempts to predict future events by interpreting the positions of the stars and planets. Astrology is not based on the scientific method, and there is no evidence that it is a reliable way to predict the future.

The main advantage of the scientific method is that it is a systematic and objective way to acquire knowledge. The steps of the scientific method are designed to minimize bias and to ensure that the results of the experiments are repeatable. This makes the scientific method a reliable way to learn about the physical world.

Astrology, on the other hand, is based on subjective interpretations of the positions of the stars and planets. There is no scientific evidence to support the claims of astrology, and the results of astrological predictions are not repeatable.

In conclusion, the scientific method is a more reliable way to understand the physical world than astrology. The scientific method is based on a systematic and objective approach to acquiring knowledge, while astrology is based on subjective interpretations of the positions of the stars and planets.

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Kirk's use of math skills in organizing, analyzing, and presenting data is essential for the success and integrity of his scientific investigation.

The correct answer is option B.

Kirk is using his math skills to organize and present his data (Option B). Math skills are integral to the scientific investigation process, particularly when it comes to data analysis, interpretation, and visualization. Here's an explanation of how Kirk is using math skills in his investigation:

1. Organizing Data: Kirk likely collects raw data during his investigation, such as measurements, observations, or experimental results. To make sense of this data, he needs to organize it systematically. This involves using math skills to categorize, sort, and arrange the data in a structured manner, such as in tables or spreadsheets.

2. Analyzing Data: Once Kirk has organized his data, he needs to analyze it to draw meaningful conclusions. This often involves applying various mathematical techniques, such as calculating averages, percentages, standard deviations, or performing statistical analyses. These calculations help identify patterns, trends, and relationships within the data, enabling Kirk to make informed interpretations.

3. Presenting Data: Kirk uses his math skills to visually represent his data through graphs, charts, or diagrams. By selecting appropriate types of graphs (e.g., bar graphs, line graphs, scatter plots), he can effectively communicate the relationships and trends observed in the data to others. Additionally, he may employ mathematical principles, such as scaling the axes, determining appropriate intervals, and using labeling or legends, to ensure accurate and clear representation.

4. Drawing Conclusions: Kirk's mathematical skills are crucial in drawing conclusions from his data. He may use mathematical models, equations, or formulas to analyze the data and test hypotheses. By applying mathematical reasoning, Kirk can determine if his data supports or contradicts his initial hypotheses or research questions.

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The PPAG recommends a variety of physical activities, such as aerobic exercises, muscle-strengthening exercises, and flexibility exercises. It also includes recommendations for the frequency, intensity, and duration of physical activity for various age groups and skill levels.

Individuals can ensure that they are getting the right amount and type of physical activity for their health and well-being by following these guidelines.

The Philippines Physical Activity Guidelines (PPAG) provide evidence-based physical activity recommendations to improve health and well-being. Following the PPAG's suggested activities can provide numerous benefits, including:

Improving overall health: Physical activity is linked to a lower risk of chronic diseases like heart disease, stroke, diabetes, and certain types of cancer. It can also aid in the management of chronic conditions like high blood pressure, high cholesterol, and obesity.

Physical activity has been shown to reduce symptoms of depression and anxiety, as well as improve overall mood and emotional well-being.

Improving physical function: Regular physical activity can help improve strength, flexibility, balance, and coordination, lowering the risk of falls and improving overall physical function.

Physical activity is an important component of a healthy weight management plan because it helps burn calories and maintain muscle mass.

Increasing social connections: Physical activities can provide opportunities to connect with others and build social support networks.

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Answer:

Explanation: as,

v=f∧

v=200×10³×1.5×10³

v=2.7×10^7ms⁻¹

The velocity of the radio waves is 3 × 10⁸ ms⁻¹.

A radio station frequency = 200 KH

wavelength = 1.5 km

         Radio waves in the electromagnetic spectrum has the longest wavelength and it will always be below 300GHz. The radio waves can be generated with acceleration through some charged particles. Only through the transmitter via antenna the radio waves can gets transmitted. Radio waves can be used in all the electronic devices as mobile phones, radio communication, radars and navigations.

                               V = f λ

            Velocity,  v = ( 200 × 10³ ) × ( 1.5 × 10³ )

                               = ( 300 × 10⁶ )

                             v = 3 × 10⁸ ms⁻¹.

Hence, the velocity of the radio waves is 3 × 10⁸ ms⁻¹.

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The initial speed of the ball, considering its upward direction, is approximately -10.03 m/s., considering the height of the balcony and the time it takes for the ball to reach it.

Let's assume the initial speed of the ball is denoted by "v." Since the ball is thrown vertically upward and caught by a person on a balcony, its final displacement will be 14 m (the height of the balcony) above the ground. The time taken for the ball to reach the balcony is given as 3.0 s.

Using the equation of motion for vertical motion:

\(h = ut + (1/2)gt^2\)

Substituting the known values:

\(14 = v(3.0) + (1/2)(9.8)(3.0)^2\)

Simplifying the equation:

14 = 3v + 44.1

Rearranging the equation:

3v = 14 - 44.1

3v = -30.1

Dividing both sides by 3:

v = -30.1/3

Therefore, the initial speed of the ball, considering its upward direction, is approximately -10.03 m/s. The negative sign indicates that the ball was thrown upward against gravity.

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Answer:

Th ball

Explanation:

Weather forecasts are made using barometers. An air pressure gauge, or barometer When the barometer reads "rising," the air pressure is rising; when it reads "falling," the air pressure is lowering.

Barometric pressure, to put it simply, is the measurement of air pressure in the atmosphere, more particularly, the measurement of the weight exerted by air molecules at a certain location on Earth.

barometer, a tool for calculating atmospheric pressure. A barometer may also be used to determine height since air pressure varies with elevation above or below sea level. Mercury and aneroid barometers are the two primary varieties.

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In Price's verbal equation, material properties refer to the characteristics and behaviors of a material, mass fabric relates to the distribution and arrangement of mass within a structure, and mass properties involve the quantitative measures of mass distribution and its effects on the structural performance.

(a) Material properties in Price's verbal equation pertain to the specific attributes and qualities of a material that influence its mechanical behavior, such as strength, stiffness, density, thermal conductivity, and elasticity. These properties determine how a material will respond to external forces and environmental conditions, and they play a crucial role in the design and analysis of structures.

(b) Mass fabric refers to the spatial arrangement and distribution of mass within a structure. It considers the organization, orientation, and connectivity of the structural elements that contribute to the overall mass distribution. Mass fabric affects the structural behavior, load transfer paths, and structural efficiency of a system. By understanding the mass fabric, engineers can optimize the arrangement of components to achieve desired structural performance.

(c) Mass properties involve the quantitative measures of mass distribution within a structure and its impact on its mechanical behavior. Mass properties include parameters such as mass, center of mass, moments of inertia, and radii of gyration. These properties provide important information for analyzing the dynamic response, stability, and vibrational characteristics of structures. They also influence the structural design, material selection, and optimization processes.

In Price's verbal equation, these concepts collectively contribute to understanding the behavior and performance of structures, enabling engineers to make informed decisions in design, analysis, and optimization. By considering material properties, mass fabric, and mass properties, a comprehensive understanding of the structural system can be achieved.

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Answer:

I can msg it toyou

------->------>---->

Explanation:

(a) The final kinetic energies of pucks A and B is compared as KA = 6KB. (option F)

(b) The final speeds of pucks A and B is compared as vA = 6vB. (option C)

The final velocity of the two pucks is calculated by applying the principle of conservation of linear momentum as shown below;

mAuA + mBuB = mAvA + mBvB

where;

Since both pucks started from rest, their initial velocity = 0

The final speed of puck A and puck B is calculated as;

0 = mAvA + mBvB

mass of puck B = 6mA

0 = mAvA + 6mAvB

mAvA = - 6mAvB

vA = -6vB

|vA| = 6vB

vB = vA/6

The final kinetic energy of puck A is calculated as;

KA = ¹/₂mA(vA)²

The final kinetic energy of puck B is calculated as;

KB = ¹/₂mB(vB)²

KB =  ¹/₂(6mA)(vA/6)²

KB = (6/36) [ ¹/₂mA(vA)² ]

KB = 1/6 [¹/₂mA(vA)² ]

KB = 1/6 KA

KA = 6 KB

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When they were falling, their acceleration is equal to the gravity acceleration.

When they started stopping, the time required to stop is 1.5 seconds, that is, 3 times less than the time accelerating.

Since the change in velocity when falling and when stopping is the same (same magnitude but opposite signal), the acceleration when stopping will be 3 times more than the acceleration when falling (because the change in velocity is the same and the time is 3 times less).

So we have:

Therefore the acceleration is 29.4 m/s².

Answer:

9600

Explanation:

Answer:

Hey... your answer is 9,600

Explanation:

Hope this helps :)

Here is prove just in case...

Best of luck <3

When an electron is released from rest in a constant electric field, the kinetic energy becomes more negative and the kinetic energy becomes more positive.

When an electron is released from rest in a constant electric field, the electric potential energy associated with the electron, and the kinetic energy of the electron, change with time. This is because of the work done by the electric field on the electron. The work done by the electric field increases the kinetic energy of the electron and decreases its potential energy as it moves from the high potential energy zone to the low potential energy zone.

The electric potential energy becomes more negative, and the kinetic energy becomes more positive. The electric potential energy and the kinetic energy are inversely proportional to each other. As the kinetic energy increases, the electric potential energy decreases and vice versa.

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"If the darts are thrown at the same speed then (B) Projectile that travels along trajectory B was projected earlier and (C) Second dart must be projected at angle, such that 0 + 0,8 = 90° is correct."

Initial speed of dart A = u'

Angle of dart A = θ'

Initial speed of dart B = u''

Angle of dart B = θ''

Both darts start out at the same speed,

Thus, u' = u'' = u

The darts are launched one at a time from the same location A, but not simultaneously. However, they cover the same horizontal distance and arrive at B simultaneously.

Since both darts' horizontal ranges are equal,

= [ u²sin(2θ') / g ] =  [ u²sin(2θ'') / g ]

= sin(2θ') = sin(2θ'')

Although θ' is not equal to θ", we can infer that θ" >θ' from the figure.

Since both are acute angles,

= sinθ'' > sinθ'

Multiplying both sides by 2u/g, we get,

= [ 2u X sinθ'' / g ] > [ 2u X sinθ' / g ]

so that the two darts' respective trajectories are as follows:

= T'' > T'.

Thus, statement B and C are correct options.

The given question is incomplete. The complete question is '(A) Projectile that travels along trajectory A was projected earlier (B) Projectile that travels along trajectory B was projected earlier. (C) Second dart must be projected at angle e, such that 0 + 0,8 = 90° (D) Second dart must be projected at angle , >, STA​.'

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For the student that walks to the right 25 m in 15 s and then turns and walks to the left 15 m in 8.0 s, we have:

1. The average speed is 1.74 m.

2. The average velocity is 1.42 m.

1. The average speed is an scalar wich is given by:

\( V = \frac{d_{t}}{t_{t}} \)

Where:

\(d_{t}\): is the total distance

\(t_{t}\): is the total time

The total distance and the total time can be calculated as follows:

\(d_{t} = d_{1} + d_{2} = 25 m + 15 m = 40 m \)

\( t_{t} = t_{1} + t_{2} = 15 s + 8.0 s = 23 s \)

Since V is a scalar, the direction of motion is not important to calculate the final value.

Then, the average speed is:

\( V = \frac{d_{t}}{t_{t}} =\frac{40 m}{23 s} = 1.74 m/s \)

2. The average velocity is a vector, so the direction of motion is important here. This ΔV can be calculated with the following equation:

\( \Delta V = \frac{\Delta x}{\Delta t} = \frac{x_{f} - x_{i}}{t_{f} - t_{i}} \)

Where:

x: is the displacement  

f: is for final and i: is for initial

Hence, the average velocity is:

\( \Delta V = \frac{x_{f} - x_{i}}{t_{f} - t_{i}} = \frac{15 m - 25 m}{8.0 s - 15 s} = 1.42 m/s \)

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In 1831, Michael Faraday and Joseph Henry independently and almost simultaneously made the discovery of electromagnetic induction therefore, option A is the right choice.

Electromagnetic induction refers to the production of an electromotive force (EMF) by the use of a moving magnetic field that is encircling an electric conductor, as well as the production of current by means of the movement of an electric conductor through a static magnetic field.

Electromagnetic interference (EMI) is also known as electric current and electromagnetic induction. It may also be referred to as magnetic induction due to the fact that the underlying concept is the same regardless of whether the procedure is carried out using an electromagnet or a static magnet.

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According to Kepler's first law of planetary motion, planets revolve around the sun such that the sun is always at one of its foci. This law is also known as the law of orbits.

According to Kepler's Second Law of planetary motion, a planet will cover equal amounts of area in an equal period of time if a line is drawn from the sun to the planet. This implies that the planet moves more slowly away from the sun and faster towards it.

According to Kepler's third Law of Planetary Motion, the squares of the orbital periods of the planets are directly proportional to the cubes of their semi-major axes.

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Impoundment or dams are used to collect the water to enhance the amount of running water. Gravity is used to direct water down a pen stock pipe from a hole in the dam. The turbine is spun by the flowing water, and this rotation of the magnets inside the generator produces power.

Hydroelectric energy, also known as hydroelectric power or hydroelectricity, is a type of energy that uses the force of moving water to produce electricity, such as water running down a waterfall. This force has been utilized by people for ages. Greeks have been grinding wheat into flour for over 2,000 years by using flowing water to turn their mill's wheel.

The majority of hydroelectric power plants feature a water reservoir, a gate or valve to regulate the amount of water that flows out of the reservoir, and an outlet or location where the water ends up after flowing downstream. Just before water rushes over the top of a dam or cascades down a hill, it gains potential energy. Water flowing downhill changes potential energy into kinetic energy. When a turbine's blades are turned by water, electricity is produced and sent to the power plant's users.

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Answer:

the answer is 20g

Explanation:

Data:

acceleration:5m/s2

force:100N

mass:?

solution:

force: mass*acceleration

mass: force divided by acceleration

mass:100/5

mass:20g

or another way of solving it is

force: mass*acceleration

100:mass*5

100/5 : mass

20g:mass

Given:

Resistance of hair dryer, R1= 12.0 Ohms

Resistance of lamp, R2 = 125 ohms

Voltage of source = 125 V

Resistance = 1.50 ohms

Let's find the curent through the lamp when the hair dryer is on.

Here, the lamp and dryer are connected in parralel. To calculate the equivalent resistance, apply the formula:

Now, the Rp and the resistor are connected in series.

To find the equivalent resistance in series, we have:

We now have a single resistor flowing through the 125 voltage source.

To find the current, apply Ohm's law:

Solve for the current (I), where:

V = 125 volts

R = 12.4 Ω

Thus, we have:

Since the resistor and Rp are connected in series, we have:

Since the dryer and the lamp are in parallel, the voltage through them are the same.

V(dryer) = V(lamp) = 110.1 Volts

To find the current flowing through the lamp, we have:

Therefore, the current through the lamp when the hair dryer is on is 0.880 ampere.

ANSWER:

1) 0.880 A

Answer:

Acceleration (b) not sure tho

Explanation:

A) Angular acceleration = -2.47 rad/s²

B) 23.54 seconds

C) The total distance covered = 294.23m

The number of revolutions = 62

Angular distance, θ = 62 x 2π

θ = 62 x 2 x 3.142

θ = 389.608 radians

Diameter, d = 0.86 m

Radius, r = d/2 = 0.86/2

r = 0.43m

Initial velocity, v₁ = 90 km/h = 90 x (1000/3600)

v₁ = 25 m/s

Angular velocity, w₁ = v₁ / r

w₁ = 25/0.43

w₁ = 58.14 rad/s

Final velocity, v₂ = 59 km/h = 59 x (1000/3600)

v₂ = 16.39 m/s

Angular velocity, w₂ = v₂ / r

w₂ = 16.39 / 0.43

w₂ = 38.12 rad/s

Using the equation of motion:

Angular acceleration = -2.47 rad/s²

B) Amount of time required for the car to stop if it continues to decelerate at this rate

Initial angular speed, w₁ = 58.14 rad/s

When the car stops, final angular speed, w₂ = 0 rad/s

Using the equation of motion below:

C) The total distance

Use the equation of motion below:

The total distance covered = 294.23m

Answer:

Explanation:

The speed of the wave is 11 m/s, the wavelength is 1 m, and the period is 0.1 seconds.

The given information describes the characteristics of a wave. The speed of the wave, which represents how fast it propagates through a medium, is stated as 11 m/s. The wavelength, which is the distance between two consecutive points in the wave that are in phase, is mentioned as 1 m. The period, which refers to the time it takes for one complete cycle of the wave, is given as 0.1 seconds.

These parameters are fundamental properties of a wave and are interconnected through the wave equation: speed = wavelength / period. Understanding these values helps in analyzing the behavior and properties of the wave, such as its frequency and amplitude, and allows for further exploration of wave phenomena in various fields, including physics and engineering.

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