a ball is thrown horizontally from the top of a building 29.8 m high. the ball strikes the ground at a point 48.2 m from the base of the building. the acceleration of gravity is 9.8 m/s 2 . find the time the ball is in motion. answer in units of s.

Answers

Answer 1

The ball will be in motion for about 2.44 seconds due to the free-fall.

What do you mean by free-fall?

Free fall is any motion of a body in which gravity is the only force acting on it according to Newtonian mechanics. A body in free fall experiences no force according to general relativity, which reduces gravitation to space-time curvature. When something is in "free fall" in a technical sense, it may not necessarily be going down in the traditional sense of the word. Normally, an object traveling upwards might not be thought of as falling, but if it is solely being affected by gravity, it is said to be in free fall. As a result, the Moon is falling freely around the Earth, even if its fast orbital speed keeps it far from the planet's surface.

According to the question:

the ball is in motion for time, t = ?

initial velocity along y direction = 0

along y direction; h = 1/2gt²

from the above equation:

t = √2h/g

t = √(2×29.8)/9.8

t = 2.44seconds

Hence the ball will remain in motion for about 2.44seconds under free fall.

To know more about free fall, visit:

https://brainly.com/question/13299152

#SPJ4


Related Questions

Suppose object a is experiencing an electric field with a magnitude of e at its location. if the charge on object a is doubled, what happens to the electric field it is experiencing?

Answers

If the charge on object A is doubled then the electric field will remain unchanged in any of the cases. It is so because the question is asking us whether the electric field which the object is experiencing is changing or not, but in actuality, due to charge change, the magnitude of the electric field is changing only.

The electric field's magnitude may be easily determined by calculating the force per charge on the test charge. The electric field would exert a force on the item when its charge doubled since it is inversely proportional to the electric charge. so won't have any effect.

The field is supposed to have a direction corresponding to the force that it would exert on a positive test charge. The electric field emanates from a positive point charge in an outward direction, and from a negative point charge in an inward direction.

A charge is a characteristic that describes how many more or fewer electrons than protons a matter unit has.

To know more about electric field and charge go to https://brainly.com/question/15805883

#SPJ4

a water droplet falling through the air can oscillate with some angular frequency that depends on its surface tension, density, and radius. the surface tension may be interpreted as the energy per unit area of surface of the drop. if a certain drop oscillates with angular frequency $\omega,$ what is the oscillation angular frequency of a drop with half of the first drop's radius?

Answers

The oscillation angular frequency of a drop with half of the first drop's radius is 4ω

What is surface tension?

Surface tension is the tension force exerted on an object by the surface of a liquid.

What is angular frequency?

Angular frequency is the frequency of oscillation of a rotating object. It is given in rad/s.

What is the oscillation angular frequency of a drop with half of the first drop's radius?

Given that

the angular frequency of the drop is ω and radius r.

Since the energy of the drop is conserved, using the law of conservation of angular momentum, we have

Iω = I'ω' where

I = initial rotational inertia of droplet = mr² where m = mass of drop and r = initial radius of droplet, ω = initial angular frequency of droplet, I' = initial rotational inertia of droplet = mr² where m = mass of drop and r' = final radius of droplet, and ω = final angular frequency of droplet

So, Iω = I'ω'

Making ω' subject of the formula, we have

ω' = Iω/I'

ω' = mr²ω/mr'²

ω' = r²ω/r'²

Given that the drop is half of the first drop's radius, r' = r/2

So, ω' = r²ω/r'²

ω' = r²ω/(r/2)²

ω' = r²ω/r²/4

ω' = 4ω

So, the oscillation angular frequency of a drop with half of the first drop's radius is 4ω

Learn more about angular frequency here:

https://brainly.com/question/28036464

#SPJ1

What does the angular frequency of the emf have to be for the inductor and resistor have the same peak voltage (i.e. for r and xl to be the same)?

Answers

The angular frequency of the emf for the inductor and resistor to have the same peak voltage (i.e. for R and XL to be the same) is R/L.

The above situation represents Alternating Current(AC).

An alternating current is a type of current that reverses its direction after fixed intervals of time.

The following formulas are used in the case of AC,

XL = ωL

XC= 1/Cω

Here L and C represent inductance and capacitance respectively.

It is  given that XL = R

Hence, ωL = R

ω = R/L

Hence, the angular frequency(ω) of the emf for the inductor and resistor to have the same peak voltage (i.e. for R and XL to be the same) is R/L.

To know more about "Alternating Current", refer to the link given below:

https://brainly.com/question/11673552?referrer=searchResults

#SPJ4

What causes cosmic microwave background energy

Answers

Answer: The Big Bang!

If the mirror is immersed in water (refractive index 1.33), what is its focal length?

Answers

If the mirror is immersed in water whose index of refraction is 1.33 , No change in its focal distance . focal distance of mirrors does not depend on the external medium in which the mirror is immersed.

What happens when a mirror is immersed in water?

As the focal length of the convex mirror does not depend on the factor such as the refractive index of any medium. Hence even after the convex mirror is immersed in water, the focal distance remains unchanged. Hence the facility of the convex mirror also remains same.

How is focal distance related to refractive index?

Since from lens makers formula we will observe that focal length of lens is inversely proportional to refractive index of medium of lens . Hence net index of refraction of lens decreases when it is dipped in a denser medium than air, hence focal distance increases.

Learn more about refractive index:

brainly.com/question/12469161

#SPJ4

A rocket is accelerating upward from the surface of earth with an acceleration of 4. 4 m/s2. On board the rocket is a 0. 060 kg chicken egg. What is the apparent weight of the egg?.

Answers

The apparent weight of the egg = 0.264N

Here the rocket is accelerating upward from the surface of the earth. The egg is on the rocket.

The acceleration due to gravity is 4.4m/[tex]s^{2}[/tex].

The mass of a chicken egg is 0.060 kg.

Form Newton's second law, the net force acting on a body is equal to the product of mass and acceleration due to gravity.

So form Newton's second law we know the formula i.e.,

                         F = m×a

                            = 0.06 × 4.4

                            = 0.264N

Therefore the apparent weight of the egg is 0.264N.

To know more about the Force refer to the link given below:

brainly.com/question/12785175

#SPJ4

a block of unknown material is submerged in water. light in the water is incident on the block at an angle of 31°. the angle of refraction in the block is 27°. what is the index of refraction of the unknown material?: * a. 0.67 b. 1.2 c. 1.3 d. 1.5

Answers

The unknown material is glass because the refractive index is found out to be 1.5

Calculation and step-by step process

[tex]u_{water\\}[/tex]= 1.33

[tex]u_{x}[/tex]=?

[tex]u_{1}[/tex]sini=[tex]u_{2}[/tex]sin27°

[tex]u_{2}[/tex] = 1.33 x [tex]\frac{sin31}{sin27}[/tex]

= 1.33 x (0.51/0.45)

= 1.50

so, deducing from it, we have refractive index = 1.50

Hence the unknown material is glass.

What is index of refraction?

The refractive index (or refraction index) of an optical media in optics is a dimensionless quantity that indicates the capacity of that medium to bend light. The refractive index controls how much light is refracted or twisted when it enters a substance.

The angle of incidence and angle of refraction of a ray as it crosses the interface between two media with refractive indices of n1 and n2 are, respectively, n1 sin 1 and n2 sin 2, which describes this.

To know more about refraction visit:

https://brainly.com/question/14760207

#SPJ4

What are the initial speed, in m/s, and the hang time (total time in the air), in s of an athlete who jumps a vertical distance of 0.8 m?

Answers

The athlete who jumps a vertical distance of 0.8 m has a initial speed of: 3.959 m/s and his total time in the air is: 0.8078 s

The formulas for the vertical launch upward and the procedures we will use are:

y max = v₀²/(2*g)t max = v₀/ gt(of) =2*t max

Where:

v₀ = initial velocityg = gravityy max = maximum heightt max = time to reach maximum heightt(of) =  time of flight

Information about the problem:

g = 9.8 m/s²y max= 0.8v₀ = ?t(of)=?

Applying the maximum height formula and clearing the initial velocity we get:

y max = v₀²/(2*g)

v₀ = √(y max * (2*g))

v₀ = √( 0.8 m * (2 * 9.8 m/s²))

v₀ = √( 0.8 m * 19.6 m/s²)

v₀ = √15.68 m²/s²

v₀ = 3.959 m/s

Applying  the maximum time formula we get::

t max = v₀ / g

t max =(3.959 m/s)/(9.8 m/s²)

t max = 0.4039 s

Applying  the time of flight formula we get::

t(of) =2 * t max

t(of) =2 * 0.4039 s

t(of) = 0.8078 s

What is vertical launch upwards?

In physics vertical launch upwards is the motion described by an object that has been launched vertically upwards in which the height and the effect of the earth's gravitational force on the launched object are taken into account.

Learn more about vertical launch at: brainly.com/question/13962796

#SPJ4


What is the frequency of light emitted when an electron in a hydrogen atom jumps
from 2nd orbit to 1st orbit?

Answers

The frequency of light emitted is 24.63 x [tex]10^1^5[/tex] Hz when an electron jumps from the 2nd to the 1st orbit in a hydrogen atom.

According to Bohr, the electrons in the atom's structure are situated around the nucleus at particular energy levels. An electron must either acquire or lose energy as it transitions from one of these energy levels to another. It is known as an absorption when an electron obtains energy and as an emittance when it loses energy. Both processes involve the absorption or emission of a PHOTON energy particle, which in turn causes the absorption or emission of light. Because various elements have varying energies, they each emit or absorb light in varying quantities (wavelengths).

The wavelength or wave number is used to compute the frequency of light emitted

The frequency of light emitted is inversely proportional to its wavelength.

Given:

Jump from 2nd orbit to 1st orbit

Planck’s constant, h = 6.626 x [tex]10^-^3^4[/tex]

To find:

Frequency of light emitted, υ = ?

Formula:

E = hυ

Calculations:

[tex]E = 13.6 * Z^2( \frac{1}{n_1^2} - \frac{1}{n_2^2} )[/tex]

E = hυ = 13.6 x 1 x [tex](1 - \frac{1}{4})[/tex]

υ x 6.626 x [tex]10^-^3^4[/tex] = 10.2 x 1.6 x [tex]10^-^1^9[/tex]

υ = 24.63 x [tex]10^1^5[/tex] Hz

Result:

The frequency of light emitted is 24.63 x [tex]10^1^5[/tex] Hz.

Learn more about Frequency of light emitted here:

https://brainly.com/question/14397362

#SPJ9

Did keeping the flies in constant dark conditions abolish the light-emission oscillations?

Answers

Yes, the statement is correct that keeping the flies in constant dark conditions abolish the light-emission oscillations

What is light-emission oscillations?

The electromagnetic radiation spectrum produced when an electron changes from a high energy state to a lower energy state is known as the emission spectrum of a chemical element or chemical compound. The energy difference between the two states is equal to the photon energy of the emitted photon. Each atom contains a large number of potential electron transitions, and each transition has a distinct energy difference. An emission spectrum is made up of a variety of transitions that result in various radiated wavelengths. The emission spectra of each element is distinct. Therefore, components in materials with an unknown composition can be identified via spectroscopy. Similar to this, chemical examination of substances may make use of the emission spectra of molecules.

to learn more about light-emission oscillations go to -

https://brainly.com/question/12803091

#SPJ4

5. A rocket travels a distance of 6,000 km in 2 hours, what is the rockets speed?

Answers

The speed of the rocket is 3000 km/h.

Distance is the sum of an object's movements, regardless of direction. Without respect to the object's starting or finishing positions, distance can be defined as the amount of space it has traveled.

A scalar quantity, speed is defined as the size of the change in an object's location over time or the size of the change in an object's position per unit of time.

The distance traveled by rocket is 6000 km.

The time is taken by the rocket is 2 hours.

The speed of an object is defined as the distance traveled by the object per unit of time.

Therefore,

Speed = distance / time

S = d / t

S = 6000 km / 2 hr

S = 3000 km/h

The speed of the rocket is 3000 kilometers per hour.

Learn more about speed here:

https://brainly.com/question/13943409

#SPJ9

8. At track practice, a student runs around an oval shaped 400 meter long track 4
times. Determine the distance and displacement of the student.

Answers

The distance travelled by the student is 1600m and the displacement is 0.

Displacement is the direction from the beginning point and the length of a straight path from the starting point to the finishing point, whereas distance is the length of a path that connects two places.

Displacement is a vector quantity that does not take into consideration the actual path taken; instead, it quantifies the distance between the beginning point and the finishing position.

Given:

Track length = 400m

No. of rounds = 4

To find:

Distance, d = ?

Displacement, D = ?

Formula:

Distance, d = Track length x No. of rounds

Displacement, D = End point – Start point

Calculations:

d = 400 x 4

d = 1600m

D = 0 since the start and end point are same.

Result:

The distance travelled is 1600m with 0 displacement.

Learn more about Distance and Displacement here:

https://brainly.com/question/3243551

#SPJ9

effect experiment, first visible light is shone on a negatively charged electroscope. next light from a special ultraviolet light source is shone on the charged electroscope. both light sources can be made brighter or dimmer

Answers

While the flashlight light has no effect, the UV source's light discharges the electroscope.

What was Einstein's photoelectric effect experiment?

According to Planck's formula, the energy of the particles that make up a beam of light is connected to their frequencies. The photons and atoms collide when that beam strikes a metal. The photoelectric effect is created by a collision when a photon's frequency is high enough to remove an electron.

What is the conclusion of the photoelectric effect?

One electron interacts with each photon. The incident photon's energy is employed to both liberate the surface-bound electrons and give the expelled electrons energy.

Because it offers insights into the properties of solids as well as the properties of atoms and molecules, the photoelectric effect is extensively researched in the fields of quantum chemistry, condensed matter physics, and solid-state chemistry.

To know more about the photoelectric effect, visit: https://brainly.com/question/2028272

#SPJ4

DATE
CLASS
14. The Space Shuttle must achieve a velocity of 7,800 m/s in order to orbit the
Earth If the average acceleration of the Space Shuttle is 15.3 m/s², how long will
It take for the shuttle to reach orbital velocity? Convert your answer from seconds
to minutes. Show all your work for this calculation.

Answers

Answer:

8.49673 minutes ≈ 8.5 minutes

Explanation:

Acceleration, a is defined as the rate of change in velocity divided by the change in time to attain that velocity

[tex]\mathsf a = \dfrac{\Delta v}{\Delta t} \\\\\textsf {where } \mathsf {\Delta v = v-v_0} \textsf{ v being final velocity and v_0 initial velocity}[/tex], v = final velocity and v₀ the initial velocity
and Δt is the time required to attain final velocity


Δt = number of seconds since launch = t since t₀ = 0

Therefore,
[tex]a = \dfrac{v-v_0}{t}[/tex]

The space shuttle's initial velocity is 0 m/s and its final velocity must be 7800 m/s to escape earth's gravity

So v - v₀ = 7800 - 0 = 7800 m/s, t - t₀ = t = 0 = t seconds
a = 15.3 m/s²

We have the equation

a = 7800/t

a is given as 15.3 m/s² so
15.3 = 7800/t

t  = 7800/15.3 = 509.80392 seconds

To convert to minutes, divide by 60
509.80392/60 = 8.49673 minutes ≈ 8.5 minutes


Aluminum chloride (AlCl3) has atoms ______ aluminum atoms and ______chlorine b. 3;1 a. 1;3 c. 1;7 d. 3;7​

Answers

I believe it is a.1;3

two large, parallel conducting plates carrying opposite charges of equal magnitude are separated by 2.20 cm. (a) if the surface charge density for each plate has magnitude 47.0 nc>m2 , what is the magnitude of e s in the region between the plates? (b) what is the potential difference between the two plates? (c) if the separation between the plates is doubled while the surface charge density is kept constant at the value in part (a), what happens to the magnitude of the electric field and to the potential difference?

Answers

In here E = 5.3 x 10^3 N/C, the potential difference (V) between the two plates is 116.6 V and if d is doubled, electric field E won't change but V gets doubled.

How to calculate by applying the concepts?

a) The electric field of infinite parallel plates can be formulated as

E= σ/2ε0 → eq1

Surface charge density is given as 47.0 nc/m2

So, the electric field is independent on d.

Hence the, so the net field is

E = E1 + E2 = σ/2ε0 + σ/2ε0 = σ/ε0

Substituting in eq 1,

E = [47 x 10^(-9) ] / 8.85 x 10^-12 = 5.3 x 10^3 N/C

b) Since the electric potential between them at any point and is given by.

V=Ed → eq 2

So, Substituting in eq 2 yields

V= 2.2 x 10^-2 x 5.3 x 10^3 = 116.6 V

c) If the distance between plates is doubled it will make no changes on the field because the field is independent on d.

For the voltage, according to equation 2 the voltage depends on d so if d is doubled then the potential between plates must be doubled.

Thus, magnitude of e in the region is 5.3 x 10^3 N/C.

To know more about Potential difference, visit:

https://brainly.com/question/12198573

#SPJ4

Calculate the magnitude of the electric field at point p on the bisector of the rod

Answers

The magnitude of the electric field at point p is [tex]\frac{2kQ}{a\sqrt{4a^{2} + L^{2} } }[/tex].

What is electric field?

An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity. It can also refer to a system of charged particles' physical field.

The human body is affected by low-frequency electric fields in the same way that they are affected by other charged-particle-containing materials. The distribution of electric charges at conductive materials' surfaces is affected by electric fields acting on such materials. They make the body conduct current to the ground.

to learn more about electric field go to -

https://brainly.com/question/14372859

#SPJ4

A diagram shows the velocity vector for an object in uniform circular motion. Why is the vector tangential to the circle?

A. The vector shows the path the object would follow if the net force acting on it stopped.
B. The vector indicates the direction of the force on the object.
C. The vector shows how the object pulls against the centripetal force.
D. The vector approximates the curved path at that point.

Answers

The vector tangential to the circle because the vector indicates the direction of the force on the object.

What is centripetal force?

Centripetal force is the force acting on an object in circular motion directed towards the axis of rotation.

In a circular motion, the direction of the velocity vector is the same as the direction of the object's motion, the velocity vector is directed tangent to the circle as well.

It also indicate the direction of the centripetal force.

Thus, the vector tangential to the circle because the vector indicates the direction of the force on the object.

Learn more about centripetal force here: https://brainly.com/question/20374099

#SPJ1

Nadh and fadh2 carry high energy electrons from the other stages of respiration to the electron transport chain. What does the electron transport chain use these electrons to do?.

Answers

Electron transport chain use NADH and FADH2 molecules formed in Glycolysis and Krebs Cycle processes.

The third stage of cellular respiration is the electron transport chain. In cellular respiration, high-energy electrons are transported by NADH and FADH2 to the electron transport chain. In photosynthesis, NADPH transports energetic electrons to the electron transport chain.

Krebs cycle or the TCA cycle, the process of oxidizing acetyl-CoA, which is produced from proteins, carbs, and lipids, releases stored energy.

The process by which glucose is broken down to provide energy is known as glycolysis. It generates two pyruvate molecules, ATP, NADH, and water. There is no need for oxygen throughout the process, which occurs in the cytoplasm of a cell. Both aerobic and anaerobic respiration experience it.

To learn more about glycolysis, refer this link.

https://brainly.com/question/1966268

#SPJ4

a 60kg person walks from the ground to the roof of a 80m tall building. what is the person's potential energy once they get to the top?

Answers

A 60-kilogram individual ascends an 80 m-high building's roof by walking up from the ground. Once at the peak, the human has a potential energy of 44027.28 J.

This is our formula

Gravitational ability strength = mgh  

here (GPE = mgh)

mg = 60.0 kg

h = 80

mg = 60.0 kg

in view that we're searching for pressure and the SI Unit for force is "N," we must convert this to force (N).

consequently, we will multiply 60.0 via nine.81.

60.0 × 9.81 = 588.6

Now that will be

⇒ mg = 588.6 N

⇒ h = 80

GPE = (588.6) × (80) = 47088 J

Know more about potential energy:

https://brainly.com/question/24284560

#SPJ4


A snowmobile has an initial velocity of 3 m/s. (a) If it accelerates at 0.5 m/s² for 7 seconds
what is the final velocity? (b) If it then accelerates at -0.6 m/s², how long will it take to
reach a complete stop (assume the starting velocity for the negative acceleration is the
answer from part a)?

Answers

Answer: a. 6.5 m/s

b. s=10.83 seconds

Explanation:

a. 3+7(0.5)=

3+3.5=6.5 m/s

b. s=seconds

6.5-0.6s=0

6.5-0.6s+0.6s=0+0.6s

6.5=0.6s

6.5=3s/5

6.5*5=3s*5/5

3s=32.5

s=32.5/3

s=65/6

s=10.83 seconds

the electric field everywhere on the surface of a charged sphere of radius 0.260 m has a magnitude of 525 n/c and points radially outward from the center of the sphere.

Answers

(a)The net charge on the sphere is 3.38×[tex]10^{-9}[/tex] C.

(b) The charge inside sphere is positive and distributed symetrically inside the sphere .

(a) As we know the electric field is given as,

E = kq / [tex]r^{2}[/tex]

Plugging in the values we get,

575 = 8.99×[tex]10^{9}[/tex] q / [tex]0.230^{2}[/tex]

8.99×[tex]10^{9}[/tex]q = 30.41

q = 3.38×[tex]10^{-9}[/tex] C

So, the net charge on the sphere is 3.38×[tex]10^{-9}[/tex] C.

(b) We can conclude that the charge inside sphere is positive and distributed symetrically inside the sphere .

The complete question is: The electric field everywhere on the surface of a charged sphere of radius 0.230 m has a magnitude of 575 N/C and points radially outward from the center of the sphere. (a) What is the net charge on the sphere? (b) What can you conclude about the nature and distribution of charge inside the sphere?

Learn more about charge inside sphere here:

https://brainly.com/question/15464181

#SPJ4

leaving the water vertically at 8.0 m/s , a steelhead lands on the top of a waterfall 1.8 m high. how long is it in the air?

Answers

The steelhead lands on the top of waterfall when it is descending so the time taken is 1.36 seconds.

What is a waterfall?

A waterfall is a factor in a river or movement in which water flows over a vertical drop or collection of steep drops.  

Waterfalls are formed in a variety of ways, but the most common  is for a river to flow over a top layer of elastic rock before dropping into soft rock. This rock will erode faster, resulting in a higher drop.  Waterfalls have been studied for their impact on the species that live in and around them. Over the years, people have developed a unique relationship with waterfalls by seeing them, exploring them, and naming them. They can pose a formidable obstacle to navigation along the river.

Using ,S= u*t + (1/2)at​2​​​​

         1.8 = 8t - [(1/2)*9.8*t​​​​​​2​​​​​]

By ,solving this quadratic equation we get, t= 0.27 s or t= 1.36 s

To learn more about waterfall ,visit:

https://brainly.com/question/27112306

#SPJ4

how long does it take an automobile traveling in the left lane at 60.1 km/h to overtake (become even with) another car that is traveling in the right lane at 38.1 km/h, when the cars' front bumpers are initially 105.2 m apart?

Answers

An automobile traveling in the left lane at 60.1 km/h to overtake (become even with) another car that is traveling in the right lane at 38.1 km/h, when the cars' front bumpers are initially 105.2 m apart and the time taken is t = 17.21 seconds.

To find the time, the given values are,

Distance in,

Left lane = 60.1 km/hr

Right lane = 38.1 km/hr

Initial length d₀ = 105.2 m

What is Distance?

The distance covered can be derived using the equation of motion with no acceleration.

distance d = speed v × time t

d = vt

For the first automobile,

v = 60.1 km/h

d₁ = 60.1

For the second automobile,

v = 38.1 km/h

Initial distance d = 105.2 m = 0.1052 km

d = vt + d₀.

d₂ = 38.1 t  + 0.1052

For them to meet/overtake each other,

Their distance at that time must be equal.

d₁ = d₂

60.1 t = 38.1 t + 0.1052

60.1 t - 38.1 t = 0.1052

22 t = 0.1052

t = 0.1052 / 22 hr

Converting to seconds

t = 0.1052 / 22 × 3600s

t = 17.21 seconds.

The time taken for an automobile to travel is 17.21 seconds.

Learn more about the distance,

https://brainly.com/question/18416154

#SPJ4

there is an equilateral triangle with sides 2 meters in length. at one of the points is a 1 microcoulomb charge, at the second point there is a 2 microcoulomb charge, and at the third point there is a 3 microcoulomb charge. what is the magnitude of the force on the 2 microcoulomb charge?

Answers

With the concept of Coulomb's Law, the net force acting on the 2μC charge is 2.06 × 10⁻² newton.

What is Coulomb's Law?

Coulomb's Law states that the force of attraction or repulsion exerted by a charged particle on another charged particle is given by,

F=kq₁q₂ / r²

Here q₁ and q₂ are the charges on the particles,

r is the separation between them

k is a constant known as Coulomb's constant, whose value is, k = 9 × 10⁹ N m²/C²

So here in the question, we have been given an equilateral triangle of side 2 meters with three-point charges at its vertices

q₁ = 1μC ,

q₂ = 2μC ,

q₃ = 3μC ,

r=2 m

From Coulomb's law,

F₂₁ = kq₁q₂/r²

F₂₁ = (9 × 10⁹ × 1 × 2 × 10⁻¹²) / 2²

F₂₁ =4.5 × 10⁻³ N

This is the force on charge q₂ because of q₁.

Similarly,

F₂₃ = kq₂q₃ / r²

F₂₃ = (9 × 10⁹ × 2 × 3 × 10⁻¹²) / 2²

F₂₃ = 18 × 10⁻³ N

Now, the resultant of the two forces will be,

F(net) = [tex]\sqrt{F_{21} ^2 + F_{23}^2 +2F_{21}F_{23}cos60}[/tex]

On substituting all the values the net force will be

F(net) = 2.06 × 10⁻² N

To learn more about Coulomb's law visit:

https://brainly.com/question/506926

#SPJ4

The scientific process is most similar to:

Answers

Answer:

the process of solving a mystery.

Explanation:

please help u have the answers but dont know how to decode it

Answers

Answer:

Q1: C

Q2: C

Q3: D

Q4: D

Code: Left, Down, Up, Right

Your welcome.

Answer: ctrl+U

ctrl+G

Explanation:

I don't know how else to help

The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues.

The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound. The test get progressively faster as it continues until the student reaches their max lap score.

The PACER Test score is combined in the FitnessGram software with scores for muscular strength, endurance, flexibility and body composition to determine whether a student is in the Healthy Fitness Zone™ or the Needs Improvement Zone™.

A blinking light of constant period is situated on a lab cart. Which diagram best represents a photograph of light, taken every 2 seconds, as the cart moves with constant velocity?

Answers

The snapshot of light as the cart moves with constant velocity is represented by a graph with uniform displacement at each time interval.

The change in displacement with time is uniform at constant velocity. The displacement of the supplied moving item grows at the same pace.

The beginning velocity equals the ultimate velocity at constant velocity.

v₁ = v₂

The object's acceleration at constant velocity is zero since the velocity change with time is zero.

As a result, we may deduce that the graph with equal displacement at each time interval reflects a snapshot of light as the cart moves at a constant speed.

A moving object's displacement-time graph shows the distance traveled by a moving item as time passes. A vector quantity is displacement. The slope or gradient of this graph represents the velocity of the item. The displacement-time graph, also known as the position-time graph, describes an object's motion. In this graph, the displacement of the moving item is displayed on the y-axis as a dependent variable, while time is shown on the x-axis as an independent variable.

Learn more about Uniform displacement here:

brainly.com/question/22102874

#SPJ1

How many protons will there be if the atom has 3 electrons and a mass of 7 amu

Answers

Answer:

[tex]{ \tt{mass \: number = protons + neutrons}} \\ { \tt{7 = p + 3}} \\ { \tt{p = 4}}[/tex]

a boat is stationary at 12\, \text{meters}12meters12, start text, m, e, t, e, r, s, end text away from a dock. the boat then begins to move toward the dock with an acceleration of 5.0\, \dfrac{\text{m}}{\text{s}^2}5.0 s 2 m ​ 5, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction.

Answers

A boat is stationary at  12 meters away from a dock. The boat then begins to move toward the dock with an acceleration of 50 m/s². How long will it take the boat to reach the dock?

Answer:

Boat can reach the dock at 2.19 s time.

Explanation:

Given that

Distance of boat to dock d = 12m.Acceleration of boat a = 50 m/s².

To find

How long will it take the boat to reach the dock ?

So according the question

We have,

Initial velocity u = 0 m/s.Acceleration of boat a = 50 m/s².Distance of boat from dock s = 12m.

Now, for finding time travelled by boat to reach dock we can use the second equation of motion i.e.

second equation of motion

         s = ut + [tex]\frac{1}{2}[/tex] at²

     where,

         s = Distance.

          u = Initial velocity.

          t = Time.

          a = Acceleration.          

Now, putting all given values in second equation of motion,

So, we get

          s = ut + [tex]\frac{1}{2}[/tex] at²

         12 = 0t + [tex]\frac{1}{2}[/tex] ×5× t²

         12×2 = 5t²

         t² = [tex]\frac{12 \times 2}{5}[/tex]

         t = [tex]\sqrt{\frac{24}{5}}[/tex]

         t = [tex]\sqrt{{4.8}}[/tex]

        t = [tex]2.19[/tex] s.

Answer:

Boat can reach the dock at 2.19 s time.

To learn more about application of equation of motions please click on the link.

https://brainly.com/question/14236800

#SPJ4

Other Questions
a(n) is an outsourcing fee model that charges a variable fee based on the volume of transactions or operations performed by the application. ABRAThe Education Program at theNJ Marine Sciences Consortium/NJ Sea Grant22 Magruder Road Fort Hancock, NJ 07732 732-872-1300 njmsc.orgHOW MUCH OCEAN?% (0%-100%)Predict what percentage of the earth's surface is covered with water.To find out how close your prediction is, count the number of squares of land and water down each column. Add the numbers across in theland row, divide by the total number of squares in the whole map, and then multiply by 100. Do the same for the water row.LandWaterTotal number of squares in map:(squares in a column)x (squares in a row)= (total squares).D410LandWaterRatio(# of sq./ total # of sq)11ConsortSea GrantDDecimalTotalsPercent(decimal x 100)%% If you were a member of Congress, what legislation would you introduce if acid rain from a coal the digit 8 in which number represents 0.08 validation of the internalization of the model minority myth measure (im-4) and its link to academic performance and psychological adjustment among asian american adolescents real measurements are expressed in current dollars. expressed in current dollars. expressed in percentages. expressed in percentages. expressed using todays currency. expressed using todays currency. expressed in constant dollars. state which is greater (5-6) times 10 or 5-6 times 10 3. the austronesians sailed: a. with the winds; with the currents b. with the winds; against the currents c. against the winds; with the currents d. against the winds; against the currents Match the definition to the word.1 . uniqueact of making something2 . creationa helper3 . helpmeetsomething that comes before4 . harbingerhaving no equal Which of the following is characteristic of most terrestrial biomes? a. a distribution predicted almost entirely by rock and soil patterns b. clear boundaries between adjacent biomes c. vegetation demonstrating vertical layering d. cold winter months If the market price of the item rises to $7 per unit, what is the daily mrp of the fourth (4) worker? Which of the duties of the project manager might be contracted to an outside firm? what is indigenous law? The graph to the right uses cylinders torepresent barrels of oil consumed by twocountries. Does the graph distort the data ordoes it depict the data fairly? Why or why not?If the graph distorts the data, construct agraph that depicts the data fairly.Does the graph distort the data? Why? Or Why not?A. Yes, because 3D objects always distort the data in graphs.B. Yes, because the graph incorrectly uses objects of volume to represent the data.C. No, because the graph is technically correct.D. No, because the proportions are accurate. A+product+has+demand+during+lead+time+of+100+units,+with+a+standard+deviation+of+25+units.+what+safety+stock+provides+(approximately)+a+95%+service+level? Volcanoes that present major hazards to people living on the continents are likely at location:_____ You sold a futures contract on corn at a futures price of 331, and at the time of expiration, the price was 343. what was your profit or loss? place the following north american settlements in chronological order according to their establishment. a homozygous red-eyed female drosophila mates with a red-eyed male drosophila. what proportion of the female offspring will have white eyes? True or false: A fall in per capita GDP means economic growth and productivity?