a baseball and a bowling ball with the same momentum are rolling toward you. which one needs more efforts (either longer time or larger force) to be stopped?

The length of the ladder which is placed 3 meters from the wall is           5 meters

The rate of the change of ladder decreasing in vertical wall = - 0.15 m/s

The distance between the bottom of the ladder and the wall = 3 meter

The rate of change of the bottom of the ladder away from the wall = 0.2 m/s.

The length of the ladder can be found using the Pythagoras theorem,

               x² + y² = L²

where x is the distance between the bottom of the ladder and the wall

           y is the distance from the top of the ladder to the bottom of the wall.

           L is the length of the ladder

Let us differentiate in terms of the rate of change in the above equation,

              2x dx/dt + 2y dy/dt = 0

Now let us substitute the known values,

                 2(3)(0.2) + 2y(-0.15) = 0

                           1.2  - 0.3y = 0

                                 0.3y = 1.2

                                      y = 1.2 / 0.3

                                        = 4

Then, the length of the ladder is

               3² + 4² = L²

                 9 + 16 = L²

                        L = √25

                        L = 5

Therefore, the length of the ladder is 5 meters

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There are an infinite number of points where the gravitational potential is always the same. They are called equipotential surfaces. Of course, mean sea level itself is not an equipotential surface.

Forces other than gravity, such as temperature, salinity, ocean currents, and wind, are at work. The size of the gradient vector field (which describes the steepness of the gradient) is not the same for all points on the contour. Therefore, the strength of gravity varies along the geoid, and the geoid is not, as one blogger put it, "the same shape of gravity wherever you stand."

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The kinetic energy of the baseball thrown by the pitcher is 103.8 Joules.

Th kinetic energy of any moving body is given by,

K = 1/2mv²

Where,

K is the kinetic energy,

m is the mass of the body,

v is the speed of the body.

Here, the mass of the baseball is given to be 0.145 kg and the speed of the baseball is given to be 42.5 m/s.

Putting all the values accordingly,

K = 1/2(0.145)(42.5)²

K = 1/2 x 0.145 x 1806.25

K = 103.8 Joules.

So, the kinetic energy of the baseball is 103.8 Joules.

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The average force of air resistance exerted on the stunt man during his fall is 305.29 N

We'll beging by obtaining the kinetic energy of the stunt man. This can be obtained as follow:

KE = ½mv²

KE = ½ × 82 × 22²

KE = 41 × 484

KE = 19844 J

Finally, we shall determine the average force of air resistance exerted on the stunt. This can be obtained as follow:

Energy = work

Work (W) = force (F) × distance (d)

W = Fd

Thus,

E = W = Fd

19844 = F × 65

Divide both sides 65

F = 19844 / 65

F = 305.29 N

Thus, from the above calculation, we can conclude that the average force is 305.29 N

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The temperature, pressure and precipitation condition of the atmosphere for a specific place on a given day is called weather, whereas are long term view of the same factors, typically taken over a period of many years, is called climate.

The basic difference between climate and weather is that climate exist for a very long period of time while weather can change in just a few hours.

Weather is just a way to way information about the temperature, pressure and precipitation condition of a atmosphere on a day today basis.

While climate is a kind weather information which provides information about the weather of a reason for a long period of time.

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Answer:

V = 140 km/h

Explanation:

Velocity is the change in position over time.

We can use the equation V = Δx / t

Note that V is the average velocity.

We are given Δx and t. Lets solve for V.

[tex]V=\frac{540}{4}[/tex]

[tex]V=140[/tex]

[tex]\frac{km}{hour}[/tex]

V = 140 km/h

6.01 × 10⁻⁵ m/s is speed of 0.100 kg sphere when it has moved 0.400 m to right from its initial position.

The conservation of energy principle states that in a closed system, the energy of interacting objects or particles remains constant. Kinetic energy, sometimes known as the energy of motion, was the first type of energy to be identified. The sum of the kinetic energy of the particles before collision and the sum of the kinetic energy of the particles after collision are equal in some particle collisions, known as elastic collisions. Progressively, more types of energy were added to the definition of energy.

We have from the conservation of energy,

[tex]E_{i}[/tex] = [tex]E_{f}[/tex]

[tex]E_{i}[/tex] = [tex]\frac{-G(5*0.1)}{0.4}[/tex] - [tex]\frac{G(10*0.1)}{0.6}[/tex]

[tex]E_{i}[/tex] = [tex]\frac{-G(5*0.1)}{0.8}[/tex] - [tex]\frac{G(10*0.1)}{0.2}[/tex] + 1/2 × 0.1v²

∵ [tex]E_{i}[/tex] = [tex]E_{f}[/tex]

= 1/2 × 0.1 × v² = G (5×0.1) (1/0.8 - 1/0.4) + G (10 × 0.1) (1/0.2 - 1/0.6)

∴ v = 6.01 × 10⁻⁵ m/s

Speed of the object moved from its initial position is 6.01 × 10⁻⁵ m/s.

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The spectrum of a very distant galaxy shows features due to carbon, silicon, and sulfur. the presence of these elements in the spectrum tells astronomers that the galaxy must have had an entire generation of stars that was born, lived, and died.

Absorption lines, not emission lines, were discovered in investigations of the Sun's spectrum (dark lines against the brighter continuum). Until Gustav Kirchhoff revealed in 1859 that the same substance can either create emission lines (when a hot gas emits its own light) or absorption lines, the precise origin of these "Fraunhofer lines," as we now refer to them, was unknown for a long time (when a light from a brighter, and usually hotter, source is shone through it). With that finding, spectroscopy became a viable method for analyzing the chemical makeup of stars.

Chemical elements can be found in other things besides stars. We can search for the signatures of elements in any spectrum from any object. Nebula and supernova leftovers are among.

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Answer:

1/2

Explanation:

We know that F = ma, so F1 = m1.a1 and F2 = m2.a2.

F1 = 10

F2 = 20

To simplify things consider a1 = a2 = 1

To find m1 divide by a to both sides; m1 = F/a = 10/1 = 10.

To find m2 divide by a to both sides; 21 = F/a = 20/1 = 20.

Ratio of m1 to m2 = 10/20 = 1/2

The scientist that discovered that the orbit of planets are ellipses is johannes Kepler. That is option E.

Elliptical planets are those planets that are not round in shape but are ellipses which is the shape of a circle that has been stretched in one direction as seen with oval shape.

The scientist johannes Kepler, who is also a mathematician discovered that orbits of planets are elliptic in shape through his work on planet orbits.

He successfully proved this through his three laws of planetary motion that include the following:

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Considering that sunrise will be visible at 6 A.m, the moon will be in the full moon phase at that time.

The line formed by the sun, Earth, and moon occurs when the moon has shifted 180 degrees from its new moon position. It is called a full moon when the moon's disc is as close to being completely illuminated by the sun as it can possibly be.

Waning Crescent is the phase of the Moon for today and tonight. The ideal time to watch this phase is immediately before sunrise in the western sky.

A full moon may also cause a reduction in deep sleep and a postponement of the onset of REM sleep, according to some research. Furthermore, several investigations have revealed a minor alteration in cardiovascular conditions during a full moon. Researchers are still looking at how the moon affects many physiological and psychological processes.

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Your ability to land safely is the primary prerequisite in order to protect your passengers and people on the ground.

In the same way as a tripod would if you were shooting a picture or remained in one place while taking it, a gimbal employs sensors and motors to stabilize and support your camera.

The majority of contemporary rockets, including the Space Shuttle and the Saturn V moon rocket, employ a technique known as gimbaled thrust. The rocket's exhaust nozzle can be moved in either direction when using a gimbaled thrust system. In relation to the rocket's centre of gravity, the thrust direction changes when the nozzle is moved.

When using Euler angles in applied mathematics, the gimbal lock problem arises; creators of 3D computer programmes, such as 3D modelling, embedded navigation systems, and video games, must take care to avoid it.

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The momentum of inertia of second hoop will be twice of first hoop

The moment of inertia of a hoop will be = m[tex]r^{2}[/tex]

first hoop:

radius = r1

mass = m1

inertia = I1 = m1[tex]r1^{2}[/tex]

second hoop

radius = r2 = r1

mass = m2 = 2m1

inertia = I2 = m2 * [tex]r2^{2}[/tex]

                 = 2m1 [tex]r1^{2}[/tex] = 2 I1

The momentum of inertia of second hoop will be twice of first hoop

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B is its ending state for the state machine shown below is in state c and receives the string 100010.

A state machine reads a set of inputs and switches states in response to those inputs. A system is said to be in a state when it is waiting to make a transition. A transition is a sequence of steps to carry out when a condition is met or an event is received.

State machines are a type of programming architecture that enable dynamic flow between states based on values from earlier states or user inputs. Applications that can be categorized as a combination of the following fit well with this architecture: States. When to relocate to a specific state, using decision-making logic.

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Answer:

272.727N

Explanation:

Force is equal to the product of mass and acceleration. We know the mass of the person (60kg), so we just need to find how much they are decelerating when coming to a stop.

We do this using the motion equation v=u+at, where v is the final velocity, u is initial velocity, a is acceleration, and t is time. Noting 90km/hr=25m/s, we get:

0=25+5.5a

a=-4.5454545m/s^2

Force = mass * acceleration = 60 * 4.545 = 272.727N

The correct answer is D. (The force of ball on bat and the force of the bat on ball.

Baseball is a game that we need to hit the ball using bat as hard as we can to make the ball fly as far as we can when other player will throw the ball as fast as possible to make it hard to hit.

The ball that pitcher throw has a velocity and acceleration. a ball with velocity will have some Force according to Newton's second Law. On the other side, batter will hit the ball using force from his swing. When the ball and the bat make contact, each force will negate each other. So, in order to make the ball fly high the batter need to give higher force than the force that the ball has.

Newton's Second Law tell us about that the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the object’s mass.

From that statement we can conclude that the force of an object will get bigger when they move faster

The dielectric constant of the wax is 4.

The energy stored in a capacitor is proportional to the square of the charge divided by the capacitance but doubling the plate spacing halves the capacitance. Capacitance is directly proportional to the electrostatic force field between the plates. This magnetic field gets stronger the closer the plates are to each other. Therefore, the capacitance increases as the distance between the plates decrease.

Therefore, we can conclude that doubling the area and distance between the plates of a parallel plate capacitor does not change the capacitance. A capacitor consists of two conductive plates separated by an insulator and is used to store an electrical charge. When you apply a voltage to a capacitor, one plate will be negatively charged and the other plate will be positively charged.

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Answer:

In this question, we have given a basketball hoop that is 3.05 m above the playing surface and the basket is made. The basketball was launched from a height of 1.95 And if the ball travels the original distance of 5.2 m in two seconds, then we have to find the initial velocity of the basketball. So we can find given data is we have given the horizontal distance traveled, that is d is equals to 5.2 m Per meter. And we have given the time taken to cover this distance, that is T equals to two seconds. So we can find the original velocity. So we can see that horizontal velocity that is three X is equal to, this is 5.2 upon two, and this will come out to be 2.6 meter per second. Now we can see that as we have given That the basketball hoop is 3.05 m above the playing surface. So we can say that the height covered, that is delta edges 3.5 minus 1.95. And this will comes out to be 1.10 m. So, using the equation of motion, we can find the vertical velocity Y. So we can say that that is is, we can apply in and wind direction. So we can say that delta edge is equals to this is initial velocity in y direction into time, T plus half into exhalation in y direction into T square. So we can say this is equals to 1.10, that is we're not y and to time is two seconds blood half into disease. Here, exploration is the gravitational acceleration and it is acting downwards. So this is equal to -3, which is -9.8 into two square. So from here we can find the value of velocity in the Y direction. That is 10.35 m/s. So we have the velocity in X direction and velocity in the Y direction. So we can see that the initial velocity that is we note is equal to this under root of we're not in extraction plus we're not wise square. So we can say this is equal to under root of 2.60 sq Plus 10.35 ft sq. And this will comes out to be 10.67 m/s. But this is the answer of arguing cushion. Thank you.

Since  Dr. Amari finds that accidents do seem to increase right after clocks are reset to an hour earlier. The research techniques that Dr. Amari using is B. archival research.

Archival research is any investigation that looks for, locates, and extracts data and proof from original archives. Archives are documents, records, and other sources pertaining to the actions and claims of people, groups, or both that are historical and not current.

Note that The term "data collection techniques" refers to procedures for gathering and analyzing various types of data. Examining papers pertaining to a topic, as well as conducting interviews and observations, are common methods of gathering data.

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m= near point/ s.

s=4.28 cm ( the distance of the contract from the magnifying glasses)

Near point = 30cm

so m= 30/4.28= 7

Thus, far from the lens should you hold the print to see a final virtual image 30 cm from the lens (at the eye's near point) is 7

At 300,000 km/s, radio waves move at the speed of light. At 100 megahertz, a radio wave has a wavelength of 3.0 m.

The space between two successive troughs or peaks of the light wave is referred to as the wavelength of light. The Greek letter lambda (), which stands for it. Consequently, the wavelength is the separation between one wave's crest or trough and the following wave.

An electromagnetic wave's wavelength has no bearing on how quickly it moves. There is no difference in the speed of Wave C versus Wave D. Changes in the characteristics of the medium a wave travels through are the only things that can change its speed.

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Answer:

Explanation:

Around 500 volt energy

Copernicus adopted the heliocentric view because it better explained the movements of the heavens mathematically.


Copernicus' heliocentrism could eliminate Ptolemy's epicycles because retrograde motion could be seen as the result of a combination of Earth and planetary motions and velocities.

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The period of this waveform is 2 milliseconds and its frequency is 2 kilohertz.

The period of a waveform is the time it takes for one complete cycle. The frequency of a waveform is the number of times that cycle repeats per second.

The time base is set to 500 ns/div, which means that each division represents 500 nanoseconds. Four cycles of a waveform occupies 10 divisions, so we can calculate the frequency as follows:

1) 4 cycles = 4x500ns

   = 2ms

2) 2ms = 2 x 1/2 ms

3) 1/2 ms = 1/2 x 1 ms

4) 1ms = 1000us

5) 1000us / 500 ns / div = 2000 Hz

In conclusion, the period of this waveform is 2 milliseconds and its frequency is 2 kilohertz.

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In order to lift a bucket of concrete, you must pull up harder on the bucket than the bucket pulls down on you this statement is true.

According to Newton's first law, unless pushed to alter its condition by the operation of an external force, every object will continue to be at rest or in uniform motion in a straight line. Inertia is the propensity to resist changes in a condition of motion.

The motion of an item is related to the forces operating on it by Newton's equations of motion. According to the first law, until a force acts on an item, it will not alter its motion. According to the second law, an object's force is determined by multiplying its mass by its acceleration.

Newton's first law states that unless a net external force acts on an object, it will either remain at rest or continue moving at a constant speed.

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(a) Initially, the capacitor acts just like a wire:

I = V/R

 =6.16/480

  = 0.01283 A

  = 12.83 mA

(b) Time constant = R*C

  = (480) * (1.5*10^-6)

  = 7.2*10^-4 s

(c) The voltage across R =  Total voltage - voltage across c

   = 6.16  - 3.89

   = 2.27 V

(d)  Voltage across R/R

  = 2.27 / 480

  = 4.73*10^-3 A

  = 4.73 mA

Answer: 4.73 mA

A resistor-capacitor circuit is an electrical circuit consisting of passive components such as resistors and capacitors driven by a current or voltage source. Capacitors store energy and resistors in the circuit control the rate of charging or discharging. The frequency variation of RC/IC circuits is defined as the frequency of the signal flowing through the circuit. Also called natural frequency. An RC circuit is a circuit in which a resistor and a capacitor are connected in series.

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Answer:

3 m/s^2

Explanation:

Acceleration = change in speed  /  change i time

                      = 15 m/s  / 5 s =  3 m/s^2

the final velocity of the hot air balloon before touching the ground is  286.16 ft/s.

the final velocity can be calculated as follows:

initial velocity of the sphere, u = 10 ft/s

Acceleration due to gravity, g = 32 ft/s²

Ground clearance, h = 1280 feet

The time it takes for the ball to hit the ground is calculated as:

[tex]h= ut +\frac{1}{2}gt^2\\ 1280= 10t + (0.5X 32 )t^2\\1280 = 10t +16t^2\\16t^2+ 10t-960 = 0[/tex]

then we can solve the quadratic equation using formula method

[tex]t=\frac{ -b+/- \sqrt{b^2-4ac} }{2a} \\t = \frac{ -10+/- \sqrt{10^2-4(16X1280)} }{2(16)}\\t= 8.63[/tex]

The final velocity of a hot air balloon is calculated as:

v = u + gt

v = 10 + (8.63 × 32)

v = 286.16 ft/sec

therefore, the final velocity of the hot air balloon before touching the ground is  286.16 ft/s.

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We must understand both inertia and gravity to find a solution.

What is inertia?

The matter has an attribute called inertia that makes it resist changes in velocity (speed and direction). Newton's first law of motion states that an object moving at a certain speed will stay there unless an outside force acts upon it.

What is gravity?

A planet or other body's gravitational field pulls objects toward its center. The force of gravity is what keeps every planet in its orbit around the sun.

A vertical circle spun while holding a bucket full of water prevents the water from spilling out due to inertia.

Keep the bucket in place as the water tries to fly off.

Therefore we can conclude that it is false.

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a) The frequency of fundamental mode of vibration of steel piano is 400Hz.

b) The number of the highest harmonic that could be heard by a person is 24ᵗʰ.

In the given question we have,

lenth of steel piano wire (L) = 0.4 m

tension/ force on steel piano (T) = 800N

mass of steel piano (m) = 3g = 0.003 kg

We shall find out the frequency of fundamental mode of vibration of steel piano.

Fundamental Frequency of object depends on wave speed in turn which depend on tension .

Using Fundamental Frequency,

f₁ = v/2L

where , v---> wave speed

f₁ ---> fundamental frequency

L ---> length of wire

Firstly, we have to find out the value of wave speed.

For determining the wave speed we use following relation,

v = sqrt ( T/ μ )

where, v---> wave speed

T ---> Tension or force

μ ----> mass per unit length = m/L

Now, put all given values in formula

μ = m/L = 0.003/0.4 kg/m =

v = √800×0.40/(3× 10⁻³) = 327m/sec

fundamental frequency (f₁) = 327/(2×0.4 )

= 400Hz

b) The nth harmonic has frequency , fₙ = n f₁

wher, f₁---> fundamental frequency

fₙ----> highest frequency

n ----> harmonic number

fₙ = 10,000 Hz , f₁ = 409Hz

put in above formula, 10,000 = n × 409

=> n = 100/4 = 24.4

So, 24th harmonic is the highest harmonic that could be heard by a person who is capable of hearing frequenies upto 10,000Hz.

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