a ball is thrown straight down from the top of a building with a speed greater than its terminal speed vt. which of the following graphs best represents the speed v of the ball as a function of time t while it falls to the ground?

Answer:

Speed is 0 m/s.

Distance is 200 meters.

Explanation:

In this scenario, we can treat speed as the absolute value of velocity and distance as absolute value of displacement since we are dealing with one-dimensional motion.

There’ll only exist one component of vector, by applying magnitude formula, it’ll return value as shown below:

Suppose we have a one-dimensional vector, \(\displaystyle{\vec v = 5\hat i}\), this represents a vector with magnitude of \(\displaystyle{|\vec v | = \sqrt{5^2} = 5}\).

Theorem I - Magnitude of One-Dimensional Vector

Suppose we have a vector \(\displaystyle{\vec v = a\hat i}\) then the magnitude is \(\displaystyle{|\vec v| = \sqrt {a^2} = |a|}\).

Speed and distance both are scalar quantity which means they only have magnitude but lack the direction. In one-dimensional motion, speed is defined to be the absolute value of velocity and direction is defined to be the absolute value of displacement, the reason is shown above regarding one-dimensional vector.

An example would be, consider a car moves at velocity of -4 m/s, this means that a car just moves to negative direction or opposite direction of positive at 4 m/s. The negative and positive sign refer to the direction that an object moves, to know how fast they are moving, we consider its magnitude which is speed.

This can also be said same to displacement and distance, but be aware that this can only be applied to straight horizontal or vertical line movement or else the motion will become two-dimensional.

From the problem, there’s no specific distance or displacement’s graph so we will assume that the car is moving in straight horizontal line. The car is moving at speed of 40 m/s and decelerates at 4 m/s².

This means that our acceleration is -4 m/s² since it’s decelerating and is moving at 40 m/s from start. Therefore, we can apply a general physic formula which is:

\(\displaystyle{v = u+at}\)

Where v is final velocity, u is initial velocity, a is acceleration and t is time. As said, we can treat speed = positive velocity in this scenario so substitute u = 40 m/s and a = -4 m/s² in the formula.

\(\displaystyle{v=40-4t}\)

Now substitute t = 10 in the formula:

\(\displaystyle{v = 40-4(10)}\\\\\displaystyle{v=40-40}\\\\\displaystyle{v=0 \ \sf{m/s}}\)

Therefore, the speed of car at 10 seconds is 0 m/s, it’s not moving at this moment.

Next, we find distance which we can use the following formula:

\(\displaystyle{s = ut + \dfrac{1}{2}at^2}\)

Substitute u = 40, t = 10 and a = -4 in:

\(\displaystyle{s=40(10)+\dfrac{1}{2}(-4)(10)^2}\\\\\displaystyle{s = 400-2(100)}\\\\\displaystyle{s=400-200}\\\\\displaystyle{s=200 \ \sf{m}}\)

Therefore, in 10 seconds, it’ll be able to travel 200 meters.

The gravitational potential energy

gpe = mgh

\(\tt gpe=75\times 9.8\times880=646,800~J\)

The current flowing through the resistor is approximately 2.4 mA.

To find the current flowing through the resistor, we can use Ohm's law, which states that the current (I) flowing through a resistor is equal to the voltage (V) across the resistor divided by the resistance (R).

In this case, we are given the potential difference (V) across the resistor as 12 V and the resistance (R) as 5 kΩ (5 kiloohms). We need to convert the resistance to ohms before we can proceed with the calculation.

1 kiloohm (kΩ) is equal to 1000 ohms, so 5 kΩ is equal to 5000 ohms.

Using Ohm's law, we can calculate the current as follows:

I = V / R

I = 12 V / 5000 Ω

I ≈ 0.0024 A

To convert amperes (A) to milliamperes (mA), we multiply the value by 1000:

0.0024 A × 1000 = 2.4 mA

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Correct option is D)

Overall momentum of the system is conserved.

Therefore, change in momentum of the rocket will be equal to that of the fuel.

Change in momentum of the fuel will be

Δmv=60000

Hence, change in momentum of the rocket will also be:

△P=60000

Thrust force F=

△t

△p

​

F=60000 N

The phasor transform of v(t) is V = 50 * e^(-j0.7854), where j represents the imaginary unit.

To find the phasor transform of the sinusoidal voltage source v(t) = 50cos(2000t - 45°) mV, we need to convert it into phasor notation.

The phasor transform represents a sinusoidal function as a complex number, where the magnitude represents the amplitude and the phase angle represents the phase shift.

Let's denote the phasor transform of v(t) as V. The magnitude of V will be equal to the amplitude of the sinusoidal function, and the phase angle of V will be equal to the phase shift of the sinusoidal function.

Given:

Amplitude (magnitude) of v(t) = 50 mV

Phase shift = -45°

The phasor transform of v(t) can be expressed as:

V = A * e^(jθ)

Where A is the amplitude and θ is the phase angle.

Let's calculate the phasor transform:

Amplitude (magnitude) of V = 50 mV

Phase angle of V = -45°

Converting the phase angle to radians:

θ_radians = (-45°) * (π/180) = -0.7854 radians

Expressing V in phasor notation:

V = 50 * e^(j*(-0.7854))

Therefore, the phasor transform of v(t) is V = 50 * e^(-j0.7854), where j represents the imaginary unit.

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Answer:

(4) The physical and chemical properties of these minerals determine how humans use them.

Explanation:

All the materials and the metals found on earth shows certain characteristics naturally or in their physical state. These physical characteristics can be their look, their structure, their color, strength, melting point, boiling point, density, etc.

And chemical properties of the metals are defined as those characteristics or features of the metals that it exhibits when these metals reacts chemically.

The physical properties as well as the chemical properties distinguishes each metal from each other. These properties determines how people use these metals in their life.

A power loss ride through function is limited to 1-2 seconds.

Typically, the length of the power loss ride-through function is created to offer a long enough buffer time to bridge the gap between the power loss and the power restoration. It enables the system or gadget to securely shut down without causing a sudden disruption to operations.

The application requirements, system criticality, energy storage or backup power capacity, and the time needed for power restoration or alternative power source activation can all be used to establish the precise duration of the ride-through function.

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Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

From the question

mass = 1,460kg

acceleration = 2.04 m/s²

We have

force = 1460 × 2.04

We have the final answer as

Hope this helps you

Answer:

44.2 seconds

Explanation:

to accelerate to 25 m/s  will take   25/3 = 8.33 sec

   and cover  d = 1/2 a t^2 = 104.1 m

       this leaves  1000 - 104.1 = 895.92 meters to cover at 25 m/s

                = 35.84 seconds   added to the original 8.33 second required to get up to ax speed = 44.2 seconds

Answer:

I drive my car at a speed of 30m/s is speed

I drive my car at a speed of 30m/s northward is velocity

The moment of inertia of the flywheel is approximately 0.0337 kg·m^2.

To solve this problem, we can use the formula for rotational kinetic energy:

KE = (1/2) I ω²

where KE is the kinetic energy of the flywheel, I is its moment of inertia, and ω is its angular velocity.

We can first convert the angular velocity from revolutions per minute (rpm) to radians per second (rad/s):

ω = (11000 rpm) * (2π rad/rev) * (1 min/60 s) = 1146.13 rad/s

Next, we can plug in the values for KE and ω and solve for I:

KE = 4.9 MJ = 4.9 × 10⁶ J

ω = 1146.13 rad/s

(1/2) I ω² = KE

(1/2) I (1146.13 rad/s)² = 4.9 × 10⁶ J

I = (2 * 4.9 × 10⁶J) / (1146.13 rad/s)²

I = 0.0337 kg·m²

Therefore, the moment of inertia of the flywheel is approximately 0.0337 kg·m².

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Answer:

The frequency of the sound wave is 800Hz

The speed of sound in a is about 340m/s.

Velocity = frequency x wavelength

making wavelength the subject formula

wavelength = Velocity/frequency.

wavelength = 340/800

wavelength = 0.425m.

Answer:

4 m/s

Explanation:

speed = distance/time

speed= 20/5 = 4

similarly for all no. the answer is constant,i.e. 4

Answer:

Moderately Light

Explanation:

Dancer breathing deeply and rapid after performing a folk dance is moderately light kind of activity intensity.

Other examples of moderately intense exercise include brisk walking, hiking, playing tennis, pushing a lawn mover and water aerobics.

Moderately Intensity activities are those which allow you to move quickly or hard enough to consume three to six times more energy every minute than when you sit still.

The activity in which the performer of the folk music is involved is a moderately intense activity.

A folk dance is an activity in which the performer moves briskly and moves the body rapidly. It is a mildly vigorous activity hence the breathing rate  of the performer increases slightly.

Hence, we can say that the activity in which the performer of the folk music is involved is a moderately intense activity.

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Answer:

Geothermal energy can be trapped using geothermal plants that utilizes steam escaping from the earth surface to make electricity.

The limitations include :

Explanation:

Geothermal energy originates in form of heat/steam escaping from the inner parts of the earth surface. The steam trapped is converted to electricity through turbines. The hot water pumped by heat pumps can be used to heat homes or for heating purposes in industries.

The limitations of geothermal energy are high initial capital costs for installing the systems, depletion of geothermal sites after sometime, environmental concerns due to greenhouse gases emissions and land requirements for geothermal projects.

Answer:

No, they don't have the same velocity

Explanation:

Given that one person pushes the car 2 m/s east, and the other pushes the car 1.5 m/s east.

As velocity is a vector quantity, so, to have equal velocity, both magnitude as well as the direction must be equal.

For the first person:

Magnitute of the velocity = 2 m/s.

The direction of the velocity: Towards east.

For the second person:

Magnitute of the velocity = 1.5 m/s.

The direction of the velocity: Towards east.

As both the person have the same direction but the different magnitude of the velocity, so, they don't have the same velocity.

Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 84 × 6.4

We have the final answer as

Hope this helps you

The speed of the photon has been obtained as  8.9 * 10^5 m/s.

We know that the energy of the photon would be converted to the kinetic energy of the photon s it is moving. We would now go ahead to obtain the energy in joule.

We now have;

Energy in joules = 2.30 * 1.6 * 10^-19

= 3.68  * 10^-19 J

Then we know that;

KE = 1/2mv^2

KE = kinetic energy

m = mass of the electron

v = speed of the electron

Then

v^2= 2KE/m

v = √2KE/m

v = √2 *  3.68  * 10^-19/9.11 * 10^-31

v = 8.9 * 10^5 m/s

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Czerski made a significant contribution with his experiment in physics that employs the equation of angular momentum conservation to explain it. The field of forensic sciences also greatly benefits from the study of physics.

All facets of our life are significantly impacted by the science of physics. There are several instruments that use physics as their operating system. Additionally, a number of healthcare devices are constructed utilizing physics.

In forensic science, reconstruction of crime scenes is a crucial application of physics that helps us ascertain if a case was the product of an accident or another crime.

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The size of the shadow hangs on the distance of the source of light and on the angle at which the light rays drop on the object.

A person or object chunks more light when the sun is low in the sky. More brick light makes shadows longer. Less light is wad when the sun is high in the sky. This makes shadows shorter. The angle at which light hit an object affects the size and shape of its shadow. Shadows are longer when the light source is at a low angle (side on) and squat when the light source is at a higher angle (overhead). find design when investigating how shadows change size and how a shadow is formed understand the role of light-position

So we can conclude that The Sun's position in the sky influences the length of the shadow. When the Sun is low on the horizon, the shadows are long.

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Answer:

The table lists the chemical elements in order of increasing atomic number, which is the number of protons in an atom of an element.

Explanation:

The periodic table is a graphical collection of element data. The table lists the chemical elements in order of increasing atomic number, which is the number of protons in an atom of an element. The rows (periods) and columns (groups) organize elements according to similar properties.

The atomic number, or the number of protons in an element's atom, is used in the table to organize the chemical elements.

The Gaussian Model in subatomic particles, which allows the known elementary particles to be arranged according to their inherent properties, can be compared to the periodic table. The table is significant because it is set up to offer a wealth of knowledge on elements and their interactions in a single reference. Even elements that have yet to be found can have their properties predicted using the table.

All known elements are grouped together in the periodic table of the elements into groupings with related properties. It becomes a crucial tool for chemists, nanotechnologists, as well as other scientists as a result. You can forecast how chemicals will react if we learn to use and comprehend the periodic table.

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The induced emf in one of the windings is approximately 10.1 millivolts. Using Faraday's Law, which states that the induced emf is equal to the rate of change of magnetic flux.

In this case, the solenoid is the source of the changing magnetic field.
Assuming that the solenoid has N windings, and the magnetic flux through one winding is given by Φ, then the induced emf in one winding is:

\(emf=-Ndi/dt\)
where the negative sign indicates that the induced emf opposes the change in magnetic flux.
Given that the current in the solenoid is decreasing at a rate of 40.0 A/s, we can use Ampere's Law to find the magnetic flux through one winding. Ampere's Law states that the magnetic field inside a solenoid is proportional to the current flowing through it:
\(B=UNI/L\)
where μ is the permeability of free space, N is the number of windings, I is the current, and L is the length of the solenoid.
Assuming that the solenoid is long enough that the magnetic field is approximately uniform inside it, the magnetic flux through one winding is:
Φ = B * A
where A is the cross-sectional area of the solenoid.
Substituting the above equations into the expression for the induced emf, we get:
emf = -μ × A × I × N² / L × dI/dt
Plugging in the given values, we get:
emf = -(4π × 10⁻⁷ T·m/A) × π × (0.01 m)² ×(N=1)× (I=40 A)² / (0.1 m) ×(-40.0 A/s)
emf ≈ 10.1 mV

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Answer:

every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.

Explanation:

The magnitude of the magnetic field (b) required to balance the weight of the bird and the wire is determined by the equation F = BIL, where F is the weight of the bird and the wire, I is the current flowing through the wire, and L is the length of the wire.

When a wire carrying a current is placed in a magnetic field, a force is exerted on the wire due to the interaction between the magnetic field and the moving charges in the wire. This force can be determined using the equation F = BIL, where F is the force, B is the magnitude of the magnetic field, I is the current, and L is the length of the wire.

In this case, the force due to the magnetic field needs to balance the weight of the bird and the wire. Therefore, the weight of the bird and the wire is equal to the force exerted by the magnetic field, and we can set F equal to the weight. By rearranging the equation, we have F = mg, where m is the mass of the bird and g is the acceleration due to gravity.

Equating the weight (mg) to the force (BIL), we can solve for the magnitude of the magnetic field (B). Rearranging the equation gives B = mg/(IL). By knowing the values of the mass of the bird, the length of the wire, and the current flowing through the wire, we can calculate the magnitude of the magnetic field required to balance the weight of the bird and the wire.

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A discordant igneous intrusion cuts across bedding planes. Here is the detailed explanation of the given question:Explanation:The Discordant igneous intrusion is the formation of an igneous rock mass when magma is injected into a host rock and cools there.

This form of igneous intrusion does not conform to the stratification or layering of the existing rock mass because it cuts across it.Therefore, a discordant igneous intrusion cuts across bedding planes.Option (a) is correct. It is the only option that describes the features of discordant igneous intrusion. Hence, the correct answer is option (a).

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Explanation:

the switch and the battery

A live electrical circuit is one that is being supplied with energy . The option A is correct answer.

A live electrical circuit refers to a circuit that is currently being supplied with electrical energy. This means that the circuit is actively conducting electricity and poses potential hazards if not handled properly. It is crucial to exercise caution when working with live circuits, as they carry the risk of electric shock or fire.

Therefore, live circuits should be approached with care and appropriate safety measures, such as wearing protective gear and ensuring the power source is properly shut off before working on them.  A live electrical circuit is a circuit that is connected to a power source and actively conducting electricity.

It means that the circuit is energized and has the potential to deliver electrical energy to connected devices or components. When a circuit is live, it carries electrical current, which consists of the movement of charged particles, usually electrons, through a conductive path.

This movement of electrons creates an electric field and can produce various effects, such as generating heat, producing light, or powering electrical devices. Working with live circuits can be dangerous if proper precautions are not taken.  So, the correct answer is option A.

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