calculate the maximum velocity and maximum acceleration of the mass. Where do these maximum values occur during the motion of the mass

Energy in should always be equal to energy out. This is a False statement.

- Energy In: Energy put into the body in form of calories from food like fats, carbohydrates and proteins.

- Energy Out: Energy burn for basic functions of the body like beating of the heart during physical movements.

When we consume more energy but does not consume it upto its potential, the body keeps storing the excess amount of energy as body fat. Maintaining a balance between Energy In and Energy Out is important to live a healthy lifestyle since the disbalance creates problems to the body.

It is easier to accurately measure change in energy than to measure the amount of energy present.

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When the Earth and Sun are positioned as they are in July in the accompanying diagram, Australia, which is in the Southern Hemisphere, has short days.

Due to its inclination towards the sun, the northern hemisphere has longer days and more daylight. Away from the Sun is tilted the southern hemisphere.

The summer solstice is observed in Australia in December, when the Sun's passage across the sky reaches its peak. The day has the most daylight hours in the entire year. Although it can occur between December 21 and December 23, the summer solstice usually occurs on December 22.

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Answer:

I know its not A or D so its B or C and the more logical answer would be B. gravity

Explanation:

Given the production rules below, is the plus operator (+) left-associative, right-associative, or neither a parse tree of it is in the explanation part below.

In the provided production rules, the addition operator (+) is left-associative.

Consider the statement "1 + 2 + 3" to show this.

This sentence's parse tree is as follows:

The addition operator's left-associativity is shown in this parse tree. The operands 1 and 2 are combined by the leftmost plus operator, and the resultant total is merged with the operand 3 by another plus operator. This depicts the assessment of the statement "1 + 2 + 3" from left to right.

If the plus operator were right-associative, the parse tree would be different, with the rightmost plus operator first combining operands 2 and 3, and then combining the resultant sum with operand 1.

Thus, the parse tree is attached below as image.

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Answer:

\(E=2.04\times 10^{-18}\ J\)

Explanation:

We need to find the energy for an electron to jump from n = 1 to n = 4.

The energy in transition from 1 state to another is given by :

\(E=\dfrac{-2.18\times 10^{-18}}{n^2}\ J\)

The difference in energy for n = 1 to n = 4 is:

\(E=-2.18\times 10^{-18}\times (\dfrac{1}{4^2}-1)\\\\E=2.04\times 10^{-18}\ J\)

So, the required energy is equal to \(2.04\times 10^{-18}\ J\).

As per the given data of velocity of sound wave through different gas medium, sound wave travels through methane gas more fastly than through ammonia.

Sound waves are longitudinal mechanical waves passing through a medium. In sound waves,, the oscillation of particles is in the same direction of wave propagation. Such waves are called longitudinal waves.

Sound waves travels through air with a speed of 340 m/s. The speed of the wave through different medium depends on  the density of the medium as well as frequency.

The speed of sound wave through ammonia gas is 415 m/s. Speed through methane gas is 450 m/s. Thus, sound waves travels fastly through methane than through ammonia.

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The voltage across the 90 μH inductor at t = 0.10 s is approximately 24.004 V.

To find the voltage across the 90 μH inductor at t = 0.10 s, we can substitute the given value of t into the equation:

vL = (25 V) * cos(60t)

Plugging in t = 0.10 s:

vL = (25 V) * cos(60 * 0.10)

Calculating the expression inside the cosine function:

60 * 0.10 = 6

Now we have:

vL = (25 V) * cos(6)

Using a calculator or math software to evaluate cos(6), we find:

cos(6) ≈ 0.960170287

Substituting this value back into the equation:

vL ≈ (25 V) * 0.960170287

Calculating the expression gives us:

vL ≈ 24.004256175 V

Therefore, the voltage across the 90 μH inductor at t = 0.10 s is approximately 24.004 V.

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To measure the electrical energy, Ampere unit is not used. Instead of Ampere, joule unit is used to measure the energy.

An ampere is used as a unit for the measurement of amount of current.

Hence, the given statement is false.

The time required to cover the Moon to a depth of 1.20 meters with micrometeorites.

To find out how long it would take to cover the Moon to a depth of 1.20 meters with micrometeorites, we can calculate the volume of the Moon and then divide it by the volume of one micrometeorite. Let's break down the calculation step by step:

Calculate the volume of the Moon:

The average radius of the Moon is approximately 1.737 ×10⁶ meters. Using the formula for the volume of a sphere, V = (4÷3)πr³, we can calculate the volume of the Moon.

\(V_{moon}\) = (4÷3)π(1.737 × 10⁶)³

Calculate the volume of one micrometeorite:

The diameter of the micrometeorite is given as 1.30 ×10⁽⁻⁶⁾ meters, which means the radius is half of that.

\(r_{meteorite}\) = (1.30 × 10⁽⁻⁶⁾)÷2

Using the formula for the volume of a sphere, V = (4÷3)πr₃, we can calculate the volume of one micrometeorite.

\(V_{meteorite}\) = (4÷3)π((1.30 × 10⁽⁻⁶⁾)÷2)³

Calculate the number of micrometeorites needed to fill the Moon:

To find the number of micrometeorites required to fill the Moon, we divide the volume of the Moon by the volume of one micrometeorite.

\(N_{meteorites}\) = \(V_{moon}\) ÷ \(V_{meteorite}\)

Calculate the time to fill the Moon:

Since one micrometeorite strikes each square meter of the Moon each second, we can equate the number of micrometeorites needed to fill the Moon to the number of seconds it would take.

Time = \(N_{meteorites}\) ÷ (1 m²/s)

Convert seconds to years:

Finally, we convert the time in seconds to years by dividing by the number of seconds in a year (assuming 365.25 days in a year and 24 hours in a day).

\(Time_{years}\) = Time ÷ (365.25 days/year × 24 hours/day × 3600 seconds/hour)

Performing these calculations will give us the time required to cover the Moon to a depth of 1.20 meters with micrometeorites.

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Answer:

Resultant horizontal force = 143 N

Explanation:

Since the a gle is 30° northwest, then it means the resultant force will be horizontal and as such;

Resultant horizontal force = 165 * cos 30

Resultant horizontal force = 142.89

Approximating to a whole number gives;

Resultant horizontal force = 143 N

The momentum of the bullet train is  60,609.6 kgm/s

Momentum is define as  the quantity of motion that an object has.

Mathematically ,

The momentum of an object is equal to the mass of the object times the velocity of the object.

Momentum = Mass x Velocity

It is denoted by P

P = m x v

According to the question .

Mass of bullet train is 9.2 X 108 kg

Speed or velocity of bullet train is 61 m/s

P = 9.2 X 108 kg x 61 m/s

P = 60,609.6 kgm/s

So , the momentum of the bullet train is  60,609.6 kgm/s

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The different types of faults include normal faults, reverse faults, and strike-slip faults. Normal faults occur when the hanging wall moves down relative to the footwall due to tensional forces.

1.Normal faults occur in areas experiencing tensional forces, where the hanging wall moves down relative to the footwall. Reverse faults occur in areas experiencing compressional forces, where the hanging wall moves up relative to the footwall. Strike-slip faults occur in areas with shear forces, where blocks move horizontally past each other.

2.Normal faults are caused by the stretching and thinning of the Earth's crust, usually associated with divergent plate boundaries. Reverse faults are caused by the compression and shortening of the crust, typically occurring at convergent plate boundaries. Strike-slip faults result from shear stress and the lateral movement of adjacent crustal blocks along a fault plane.

3.Synclines and anticlines are both types of folds in rock layers. A syncline is a downward-folded or trough-like structure, where the youngest rock layers are in the center. An anticline is an upward-folded or arch-like structure, with the oldest rock layers in the center. These folds can form through tectonic forces, such as compression or lateral movement of the Earth's crust.

4.Scientists use various techniques to piece together a 3D image of Earth's crust, including seismic imaging, geological mapping, and geophysical surveys. Seismic data from earthquakes and controlled sources help determine the subsurface structures. Geological mapping involves studying rock outcrops and surface features. Geophysical techniques, like gravity and magnetic surveys, measure variations in the Earth's physical properties. This information allows scientists to understand the subsurface architecture, tectonic processes, and geological history. It can be used for assessing earthquake hazards, locating mineral and energy resources, and developing geological models for resource exploration and land-use planning.

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Answer:

1181.63 m

Explanation:

Assume : specific heat for copper = 386 J/kg.k

Determine the height a 300k  cu ball can lift itself after transforming all its thermal energy to work

Total thermal energy of ball =  386J/kg.k * 300 k

                                                = 115800 J

when we convert to potential energy ( work )  applying the law of conservation of energy

11580 J = mgh

11580 = 1 * 9.8 * h       ( note m = 1 because the cu is just 1 unit )

∴ h ( height attained ) = 11580 / 9.8   = 1181.63 m

The electric field strength is 62.5 N/C.

Electric field strength (E) is a physical quantity that describes the intensity of the electric field at a particular point in space.

The electric field strength (E) can be calculated using the formula:

E = F/q

Where

Substituting the given values, we get:

E = 5.0 N/0.08 C

E = 62.5 N/C

Therefore, the electric field strength is 62.5 N/C.

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Sitting by a fire is an example of thermal radiation because the fire emits heat in the form of electromagnetic waves that are absorbed by nearby objects.

What is thermal radiation?

Thermal radiation is the transfer of heat energy in the form of electromagnetic waves, without requiring a medium to travel through. It can be emitted by any object with a temperature above absolute zero and can be absorbed by other objects, causing them to heat up.

Sitting by a fire is an example of thermal radiation because the fire emits electromagnetic radiation in the form of heat. When the fire burns, it produces thermal energy, which causes the molecules in the fire to vibrate and emit electromagnetic waves that carry thermal energy. These waves can be absorbed by nearby objects, including people sitting around the fire, causing them to heat up.

The transfer of heat through thermal radiation does not require a medium to travel through, unlike conduction and convection. This means that the heat can be transferred through the vacuum of space, making thermal radiation an important means of heat transfer in the universe, particularly for objects that are too far apart to transfer heat by conduction or convection.

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The distance between the bright central and the second order bright fringe is 0.096 m.

The angle at which the second order (m=2) bright fringe will be observed can be calculated using the formula: θ = mλ/d, where θ is the angle, λ is the wavelength of light, d is the distance between adjacent slits, and m is the order of the bright fringe. Converting the line density from lines/mm to distance between adjacent slits, we get d = 1/400 x 10^-3 m = 2.5 x 10^-6 m. Substituting the values, we get θ = 2 x 548 x 10^-9 m / 2.5 x 10^-6 m = 0.244 radians.

The distance between adjacent bright fringes on the screen can be calculated using the formula: y = mλL/d, where y is the distance between adjacent bright fringes on the screen, L is the distance between the diffraction grating and the screen, and all other variables have their previous meaning. Substituting the values, we get y = 2 x 548 x 10^-9 m x 2.20 m / 2.5 x 10^-6 m = 0.096 m.

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Answer: They are inversely proportional

Explanation:

wiens displacement law assets that for the black body radiation the curve for distinct temperature will peak at distinct wavelength are varying inversely proportional to the temperature

The relationship between temperature and peak wavelength they are inversely proportional.

Wien's displacement law asserts that for the black-body radiation the curve for distinct temperatures will peak at distinct wavelengths are varying inversely proportional to the temperatures.

Wien's Law given as

\(\lambda_{\max }=\frac{0.29}{T}\)

Where

T=Temperature (In Kelvin unit)

λ(max)= Peak wavelength (In cm unit)

Therefore we can say that wavelength and temperature are inversely proportional.

This formula reads: (max) = peak wavelength (cm) Temperature is T. (K) What is the link between temperature and peak wavelength? Please explain using the simulation results and the proportionality relationships you have learnt about this month. They are proportionate in a direct way.

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Answer:

Construction pulleys are used in order to lift and place heavy materials. Curtains at a theatre are moved using pulley systems that pull the curtains apart. Blinds on windows operate using a pulley system to move the blinds up and down.

We use pulleys for things like and elevators, cranes, and bikes.

Total angular velocity is 13.7 rad/s.

Given that an object is moving in a circular motion, we can infer that the system involving the athlete, the ball, and the rope is also moving in a round fashion.

We are informed that the athlete is 181 cm tall, has a 90 cm arm span, and will be using a 121 cm long ball and chain for the competition. With both arms hanging on to the ball and chain handle as the athlete starts to spin, their body becomes the centre of the action. The ball and chain's initial linear velocity is 29 m/s when it is released.

The radius of the path= 90 cm + 121 cm

                                    = 211cm or 2.11 m

Using;
linear velocity = radius * angular velocity

V = rω

ω = V/r

ω =  29m/s/2.11 m

ω = 13.7 rad/s

angular velocity of athlete is 13.7 rad/s

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Answer:

First option, check image uploaded.

Explanation:

Acceleration defined as time rate of change of velocity. Or change in velocity per change in time.

Acceleration is also the slope of the graph of  velocity against time.

\(Acceleration = \frac{dv}{dt}\)

Also change in displacement with time is velocity.

From the given options, the correct graph is in the first option, as shown in the image uploaded.

Answer:Qualitative

Explanation:

Using the time dilation formula we find that the required speed is 0.79 0.79 0.79 c. It move very fast.

Definition of time dilation

A slowing of time in accordance with the theory of relativity that occurs in a system in motion relative to an outside observer and that becomes apparent especially as the speed of the system approaches that of light. — called also time dilatation.

The idea of "absolute time" was our default for millennia. But time is relative, as gravity and motion both cause time to dilate. Both space and time coordinates are needed to describe an object in our Universe.

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The scale will read 147N

The mass of the object, m = 15 kg

Since I am on the earth, the acceleration due to gravity on the earth is:

g = 9.8 m/s²

The scale will read the weight of the object, and is calculated below

The weight, W = mg

W = 15(9.8)

W = 147 N

Therefore, the scale will read 147N

Answer:

If the driver is wearing a seat belt, the seat belt rather than the windshield applies the unbalanced force that stops the driver's forward motion. The force from the seat belt is applied over a longer time, so the force causes less damage.

Explanation:

Answer:

There is no force in space.

Explanation:

Weight is the gravitational force acting on the mass as in space there is no gravity so weight appeares as zero

Answer:

It is because of gravity that your weight of a certain mass becomes zero in space.

Explanation:

When parked on the highway at night, cars should use their hazard lights or emergency flashers.

When parked on the highway at night, cars should use their hazard lights or emergency flashers. These lights are designed to alert other drivers of a potential hazard or obstruction on the road. By activating the hazard lights, the parked car becomes more visible to oncoming traffic, reducing the risk of accidents.

Hazard lights typically consist of a pair of high-intensity, blinking lights located at the front and rear of the vehicle. They emit a bright, attention-grabbing signal that can be easily seen from a distance, even in dark or adverse weather conditions.

The blinking pattern of the lights distinguishes them from the regular headlights or taillights of moving vehicles, indicating that the car is stationary and that caution should be exercised.

Using hazard lights while parked on the highway helps to warn approaching drivers to slow down and proceed with caution. It also helps to prevent rear-end collisions or other accidents caused by drivers failing to notice the stationary vehicle in time.

However, it is important to note that hazard lights should only be used when the car is parked in a safe location off the road and not obstructing traffic flow.

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Attraction-Selection-Attrition (ASA) processes are most evident in organizational culture and team dynamics.

ASA processes refer to the phenomenon where individuals are attracted to, selected by, and retained in organizations or groups that align with their own values, interests, and characteristics. This process influences the composition and culture of the organization or team over time. Initially, individuals are attracted to organizations or teams that match their personal preferences and values. Through the selection process, organizations or teams tend to choose individuals who fit well with their existing culture and values. Over time, attrition occurs as individuals who do not align with the culture or values tend to leave, further reinforcing the prevailing culture.

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Answer:

Correct answer is C: Because direction changes.

Explanation:

Hope you have a wonderful weekend.

Answer:

i) Power = Force * Velocity = 1100 * 15 = 16500 W = 16.5 kW(ii)  Find the value of k first: F = 400 + k(15^2)                                              k = 28/9    F = 400 +(28/9)(30^2) = 320

Explanation: