Find the position and velocity of a particle at t = 1.98 s if the particle is initially moving east at a speed of 20.4 m/s and experiences an acceleration of magnitude 4.40 m/s2, directed west.

Magnitude and direction of the position.
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direction ---Select---

Magnitude and direction of the velocity.
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direction ---select---

The time elapsed between the first splash and the second splash is approximately 0.69 seconds.

To calculate this, we consider the motion of two rocks thrown simultaneously from a bridge. Heather throws a rock straight down with a speed of 14 m/s, while Jerry throws a rock straight up with the same speed.

We use the equation for displacement in uniformly accelerated motion: s = ut + (1/2)at^2.

For Heather's rock, which is thrown downwards, the initial velocity (u) is positive and the acceleration (a) due to gravity is negative (-9.8 m/s^2). The displacement (s) is the height of the bridge (46 m).

Solving the equation, we find two possible values for the time (t): t ≈ -4.91 s and t ≈ 1.91 s.

Since time cannot be negative in this context, we discard the negative value and consider t ≈ 1.91 s as the time it takes for Heather's rock to hit the water.

For Jerry's rock, thrown upwards, we use the same equation with the same initial velocity and acceleration. The displacement is also the height of the bridge, but negative.

Solving the equation, we find t ≈ -5.68 s and t ≈ 1.22 s. Again, we discard the negative value and consider t ≈ 1.22 s as the time it takes for Jerry's rock to reach its maximum height before falling back down.

To find the time difference between the first and second splash, we subtract t ≈ 1.91 s (Heather's rock) from t ≈ 1.22 s (Jerry's rock). This gives us a time difference of approximately 0.69 seconds.

Therefore, the time elapsed between the first splash and the second splash is approximately 0.69 seconds.

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Answer:

“Insanity is relative. It depends on who has who locked in what cage.” R.D. Laing: “Insanity – a perfectly rational adjustment to an insane world.” Nora Ephron: “Insane people are always sure that they are fine. It is only the sane people who are willing to admit that they are crazy.”Sep 20, 2012

Explanation:

The quantity with units of \(kgm^3/s^1\) is mass flow rate or mass flow density.

Mass flow, is a physical quantity that represents the amount of mass flowing through a unit area per unit time. It is the mass flow per unit area and is typically denoted by the symbol ṁ/A. It is a measure of how much mass is flowing per unit area in a given system.

For example, it is often used to describe the rate of mass transfer in a chemical reaction, where a mass flow density is used to measure the amount of reactant or product flowing per unit area per unit time. Mass flow density is also used to describe the rate of mass flow in a fluid through a particular area, such as in a pipe or channel.

The quantity with units of \(kgm^3/s^1\) is mass flow rate or mass flux density.

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Answer:

v = 103.70 m/s

Explanation:

To find the speed of the object, you first calculate the frequency of the reflected wave, by suing the information about the beat frequency:

\(f_b=|f_1-f_2|\)      (1)

fb: frequency of the beat = 80Hz

f1: frequency of the submarine generated by the submarine = 1080Hz

By solving the equation (1) you have that f2 can take two values:

\(f_2=1080Hz-80Hz=1000Hz\\f_2=1080Hz+80Hz=1160Hz\)

You use the second value (1160Hz) because the reflected wave comes from an object that is moving toward the sub.

Next, you use the formula for the Doppler effect's, for an object that is getting closer:

\(f'=f(\frac{v_w}{v_w-v_s})\)     (2)

f': perceived frequency = 1160 Hz

f: frequency of the source = 1080 Hz

vw: speed of sound in water = 1400 m/s

vs: speed of the source = ?

You solve the equation (2) for vs, and you replace the values of the rest of the parameters:

\((v_w-v_s)f'=fv_w\\\\v_s=\frac{v_w(f'-f)}{f}\\\\v_s=\frac{(1400m/s)(1160Hz-1080Hz)}{1080Hz}\\\\v_s=103.70\frac{m}{s}\)

hence, the speed of the object that is moving toward the sub is 103.70 m/s

Answer:

a) They both hit the ground at the same time

b) Watermelon will hit first, since its speed is faster than the pumpkin speed

c) h = 29,6 m

d)t = 3,02 sec

Explanation:

Equations for fall free movement are:

vf = v₀ + g*t       when   v₀ = 0   (dropped case)  vf = g*t

h = v₀*t + 1/2*g*t²

a) For both ( watermelon and pumpkin) the equation of speed is the same:

vf = g*t²    Both will have the same speed second through second

They both hit the ground at the same time

b) Now is watermelon is thrown with v₀ = 10 m/s

Watermelon will hit first since its speed is faster than the pumpkin speed

vf(watermelon) =  10 + g*t

vf₂ (pumpkin)   =  g*t

c) h = v₀*t + (1/2)*g*t²

h = (10)*1 + (1/2)*9,8*1

h = 10 + 19,6

h = 29,6 m

d)  h = g*t

t = 29,6/9,8

t = 3,02 sec

Answer:

B- the melting of polar ice caps

Explanation:

As the world's temperature increases, polar ice caps will no longer be able to remain solid.

From this data it is clear that the time require to complete ramp 3 is more than any other, hence it can be large ramp or there are more objectless or  turns. Ramp 2 requires least time to complete, it can be shorter or having less number of obstacles.

An inclined plane, also known as a ramp, is a flat supporting surface that is slanted at an angle from the vertical direction, with one end higher than the other, and is used to help raise or reduce a weight. The inclined plane is one of the six traditional basic devices established by Renaissance scientists. Inclined aircraft are used to transport big cargoes over vertical obstructions. Examples include a ramp used to load items into a truck, a person going up a pedestrian ramp, and an automobile or railroad train climbing a gradient. it can have obstacles in the path

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Answer:

two H atoms

Explanation:

A jet of water squirts out horizontally from a hole near the bottom of the tank shown in the figure. If the hole has a diameter of 3.80 mm, the height h of the water level in the tank is 44.1 cm

The height of the water level can be calculate as follows:

According to kinematics, if the water's initial velocity when it exits the tank is, its horizontal range is given by

d = v√(2y/y)

where, y is the acceleration caused by gravity and is the vertical distance from the ground to the hole.

Torricelli's law provides the velocity of the fluid flowing out of the hole. the velocity  of water coming out of the hole is

v=√(2gh)

where,h is the tank's top-to-bottom distance, as depicted in the picture.

The horizontal range equation is used to calculate the water's exit velocity from the hole:

d= v√(2y/g)

v= d x √(g/2y)

and since d= 0.600 m an y= 1 m

v= 0.600  x √(9.8/2(1))

v= 0.600 x 4.9

v= 2.94 m/s

Now, we can  use Torricelli's theorem to find the height

v=√(2gh)

h = v²/2g

h = (2.94)² / 2 (9.8)

h = 0.441 m = 44.1 cm

Your question is incomplete because of missing picture but most probably your full question attached below

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Answer:

Heater 2 will give off more heat.

Explanation:

The heat given off by the heaters can be found out by the following formula:

\(Q = VIt\)

but, from Ohm's Law:

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

Therefore,

\(Q = \frac{V^2t}{R}\)

where,

Q = heat given off by the heater

V = Voltage

t = time

R = Resistance

It is clear from the equation that for a constant voltage and time, the heat given off by the heater is inversely proportional to the resistance of the heater.

Heater 2 will give off more heat.

Therefore, the heater with lower resistance will give off more heat.

Answer: Potassium iodide

Explanation: their you go

Answer:

Potassium iodide

Explanation:

Have a good day

a. The minimum force required to start moving the block is 9.8 N

b.  The force required to continue moving the block at a constant velocity is 5.88 N.

c. If a force greater than 9.8 N is applied, the block will start moving and continue to move until the applied force is less than 5.88 N.

a. Force = μs * N

N = m * g = 2.0 kg * 9.8 m/s^2 = 19.6 N

Force = μs * N = 0.50 * 19.6 N = 9.8 N

b. Force = μk * N = 0.30 * 19.6= 5.88 N N

c. In conclusion, If a force greater than 5.88 N is applied, the block will accelerate. If a force less than 5.88 N is applied, the block will decelerate and eventually stop if the force becomes less than the force of static friction (9.8 N).

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Answer:

\(E=3.69*10^{-11}\frac{V}{m}\)

Explanation:

To solve this problem you use the following formula, for the calculation of the electric field along the axis of the dipole.

\(E=\frac{p}{2\pi \epsilon_ox^3}\)   (1)

p: dipole moment = 6.16*10^-30 Cm

x: distance to the center of mass of the dipole = 3.00*10^-9m

eo: dielectric permittivity of vacuum = 8.85*10^-12 C^2/Nm^2

You replace the values of the variables in the equation (1):

\(E=\frac{6.16*10^{-30}Cm}{2\pi(8.85*10^{-12}C^2/Nm^2)(3.00*10^{-9}m)^3}\\\\E=3.69*10^{-11}\frac{V}{m}\)

Answer:

water is good fort he brain becuase it increases blood circulation and provides more oxygen to the brain

Answer:

It helps regulate blood and and oxygen.

Explanation:

helps also with cleaning and purifing the blood stream

She must be sure to  use an insulator like rubber and to rub the insulator on hair or fur to transfer charge when performing the demonstration. Hence, option (B) and (E) are correct.

When a subatomic particle is exposed to an electric and magnetic field, its electric charge causes it to feel a force.

Protons and electrons are the most prevalent charge carriers for the positive and negative forms of electric charges, respectively.

Hence, Marya must be sure to  use an insulator like rubber and to rub the insulator on hair or fur to transfer charge.

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\( \Large \text {Answer:} \)

\( \boxed {\text{Heads toward}\: 320.45\degree\: \text {at 157.70 km/h}} \)

\( \Large \text {Solution:} \)

\( V_x = 42\cos(215\degree) + 152\cos(125\degree) \\ V_x \approx -121.588 \: \text{km/h}\)

\( V_y = 42\sin(215\degree) + 152\sin(125\degree) \\ V_y \approx 100.421\: \text{km/h} \)

\( V = \sqrt{{V_x}^2 + {V_y}^2} \\ V = \sqrt{(-121.588)^2 + (100.421)^2} \\ V \approx 157.70\: \text {km/h} \\ \\ \theta = \tan^{-1}\left (\dfrac{V_y}{V_x}\right ) = \tan^{-1}\left (\dfrac{100.421}{-121.588}\right ) \\ \theta \approx -39.55\degree\: \text{or}\: 320.45\degree \)

Answer:

Light energy

Explanation:

The light bulbs converted the electric energy to light energy.

Answer:

The greater the rotation angle in a given amount of time, the greater the angular velocity. Angular velocity ω is analogous to linear velocity v. We can write the relationship between linear velocity and angular velocity in two different ways:

The sound from a tuning fork is not a transverse wave but a longitudinal wave

A common example of longitudinal waves is sound waves, which are pressure waves or vibrations that travel through air or other materials, like water. Tuning forks produce a single note, or a specific sound, when struck by making the arms move in and out very rapidly (hundreds or thousands of times a second).

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To calculate the weight of the block, we can use the formula:

Weight = Mass x Gravity

Where gravity is approximately 9.8 m/s^2.

First, we need to find the mass of the block. We can use the formula:

Density = Mass / Volume

The volume of the block is:

Volume = Length x Width x Height

Volume = 10 cm x 3 cm x 2 cm

Volume = 60 cm^3

We don't know the density of the metal, so we can't calculate the mass directly. However, we can use the spring balance reading to find the weight of the block.

The spring balance has a maximum reading of 10 Newtons, which corresponds to a length of 20 cm. When the block is hung on the balance, it stretches the string by 15 cm. The extension of the spring is proportional to the weight of the block, so we can use the following proportion:

Extension of spring / Total length of spring = Weight of block / Maximum weight of spring balance

Substituting the values we have:

15 cm / 20 cm = Weight of block / 10 N

Solving for the weight of the block:

Weight of block = 7.5 N

Now we can find the mass of the block:

Mass = Weight / Gravity

Mass = 7.5 N / 9.8 m/s^2

Mass = 0.765 kg

Finally, we can calculate the density of the metal:

Density = Mass / Volume

Density = 0.765 kg / 60 cm^3

Density = 0.01275 kg/cm^3

So the weight of the block is 7.5 N, the mass of the block is 0.765 kg, and the density of the metal is 0.01275 kg/cm^3.

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♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

3.416 m/s

Explanation:

Given that:

mass of cannonball \(m_A\) = 72.0 kg

mass of performer \(m_B\) = 65.0 kg

The horizontal component of the ball initially \(\mu_{xA}\) = 6.50 m/s

the final velocity of the combined system v = ????

By applying the linear momentum of conservation:

\(m_A \mu_{xA}+m_B \mu_{xB} = (m_A+m_B) v\)

\(72.0 \ kg \times 6.50 \ m/s+65.0 \ kg \times 0 = (72.0 \ kg+65.0 \ kg) v\)

\(468 kg m/s + 0 = (137 kg)v\)

\(v = \dfrac{468\ kg m/s }{137 \ kg}\)

v = 3.416 m/s

A. The electric field is null at the point C; located in the middle of the

segment AB.

Electric field is the region of space where the influence of electric force is felt.

E = kq/r²

where;

E(+6μC) = (9 x 10⁹ x 6 x 10⁻⁶) / (0.5²)

E(+6μC) = +216,000

E(-6μC) = (9 x 10⁹ x 6 x 10⁻⁶) / (0.5²)

E(-6μC) = -216,000

E(net) = E(+6μC) + E(-6μC)

E(net) = 216,000 - 216,000 = 0

Thus, the electric field is null at the point C; located in the middle of the

segment AB.

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Answer:

Due to energy loss while collision ball will not reach to same height while if there is no energy loss then in that case ball will reach to same height

Explanation:

Explanation:

As we know that initially ball is held at height h = 40 cm

So here we can say that kinetic energy of the ball is zero and potential energy is given as

U = mgHU=mgH

now when strike with the ground then its its fraction of kinetic energy is lost in form of other energies

So the ball will left rebound with smaller

Answer:

The ejection of electrons from metals illuminated with different frequencies of light (photoelectric effect)

Explanation:

Ejection of electrons from metals illuminated with different frequencies of light provides evidence for the particle theory of light

The photoelectric effect proves that light has particle-like activity. The photoelectric effect happens when photons are shone on metal and electrons are ejected from the surface of that metal. The electrons that are ejected are determined by the wavelength of light which determines the energy of photons.

correct answer is

Ejection of electrons from metals illuminated with different frequencies of light

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The final amount of pressure caused by the force is 90 N/m².

Initial amount of force, F₁ = 22 x 10³ N

Initial amount of pressure produced, P₁ = 110 N/m²

Final amount of force exerted, F₂ = 18 x 10³ N

Pressure is defined as the amount of force acting on an object per unit area of the object.

So, we can say that the force and pressure are directly proportional.

F ∝ P

So, F₁/P₁ = F₂/P₂

Therefore, the final amount of pressure caused by the force is,

P₂ = F₂P₁/F₁

P₂ = 18 x 10³x 110/22 x 10³

P₂ = 18/0.2

P₂ = 90 N/m²

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Answer:

electron has a constant velocity in the north direction and accelerates in the west direction, the electron is accelerating and its velocity on this axis increasing in the west direction.

Explanation:

In this exercise we are asked about the speed of the electron

The electric force is F = q E

the charge of the electron is q = -e = - 1.6 10-19 C

If we use Newton's second law

Y axis (North-south direction)

       \(v_{y}\) = cte

X axis (East-West direction)

      F = m a

     - e E = m a

      a = - e / m E

whereby electron has a constant velocity in the north direction and accelerates in the west direction, the electron is accelerating and its velocity on this axis increasing in the west direction.

Answer:

She takes pictures and analyzes DNA samples

Answer:

False

Explanation:

17%

the answer to your question is false

Answer:

θ' =  14.44 × \(10^{6}\)

Explanation:

given data

total distance is d = 4820

radius = 1.4 cm

solution

we get here total angle by which the wheel rotates traveling is express as

⇒  \(\theta=2.40\times10^6\ \rm{rev}=2.40\times 2\pi\times10^6\ \rm{rad}\)     ................1

and

total angle (θ)  and the total distance (d) express as

⇒ d = r × θ       ...............2

here r is radius

and here rotated through some other angle θ' so put value in given equation and find revolutions    

⇒  d = (r+r)θ'      ........3

here  r = d/θ

so

⇒ \(d = ( \frac{d}{\theta}+r) \theta'\)    

so put value and get θ'

⇒  θ' = 2.40 × 2π × \(10^{6}\) × \(\frac{4820 \times 10^3}{4820 \times 10^3 +0.014 \times 2.40 \times 2 \times \pi \times 10^6}\)