A train travelling at 22m/s accelerates uniformly at 0.85 m/s^2 for 25s. Calculate the distance travelled by the train at this time.

Answers

Answer 1

The distance travelled by the train travelling at 22 m/s, which  accelerates uniformly at 0.85 m/s² for 25s is 815.62.

What is Second equation of motion?

The second equation of motion is used to calculate the distance traversed by the body moving with uniform velocity. Mathematically -

S = ut + 1/2 at²

Given in the question is a train travelling at 22 m/s accelerates uniformly at 0.85 m/s² for 25s. From this, we can write -

Initial velocity [u] = 22 m/s

acceleration [a] = 0.85 m/s²

time taken [t] = 25 s

In order to find the distance travelled by the train, we will use the second equation off motion -

S = ut + 1/2 at²

S = 22 x 25 + 1/2 x 0.85 x 25 x 25

S = 815.62 meters

Therefore, the distance travelled by the train travelling at 22 m/s, which  accelerates uniformly at 0.85 m/s² for 25s is 815.62.

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Related Questions

Two tiny spheres of mass 5. 30 mg carry charges of equal magnitude, 62. 0 nc , but opposite sign. They are tied to the same ceiling hook by light strings of length 0. 530 m. When a horizontal uniform electric field e that is directed to the left is turned on, the spheres hang at rest with the angle θ between the strings equal to 58. 0∘

Answers

Answer:in this situation we have during the two tiny spheres of masks, 5.8 mg carry Charges of equal magnitude 30 77 Nano column but opposite in sign They are tied to the same ceiling hook by light in spring of 2.53 m. It is known that when they original uniform electric village applied that is directed to the left. The angle between the springs is 58°. Then we have to find the value of E. So given that the mass M is 5.8 mg, that is 5.8 into 10 to the power -3 g. And This is five and we have the charge that is Q. Is 77 and a column. So this is 77 into 10 to the power -9 columns. The length of the string is 0.53 m. And the angle between the spring.

A car moved a total distance of 120 km in 90 minutes (1.5 hours). What was
the speed of the car?
OA. 45 km/hr
OB. 30 km/hr
OC. 60 km/hr
OD. 80 km/hr

Answers

120 / 1.5 = 80 so it is D
D is going to be the correct answer

URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS

The diagram below shows a portion of the electromagnetic spectrum. Which of the following statements correctly explains the relationship between FM and AM radio waves?

Answers

Answer:  The difference is in how the carrier wave is modulated, or altered

Explanation:

With AM radio, the amplitude, or overall strength, of the signal is varied to incorporate the sound information. With FM, the frequency (the number of times each second that the current changes direction) of the carrier signal is varied

couldnt read that so gave my input hope it helps or is closly related to one of the answers

Answer: C. FM radio waves carry more energy than AM radio waves. This is supported by the fact that FM radio waves have a shorter wavelength compared to AM radio waves.

Explanation:

5) A ball is thrown into the air vertically from the ground level with an initial speed of 20m/s. (a) How long is the ball in the air?

(b) What height does the ball reach?

Answers

The time spent in air by the ball is 2.04 seconds.

The maximum height reached by the ball is 20.41 m.

Time of motion of the ball

The time of motion of the ball is calculated as follows;

v = u - gt

where;

v is the final velocity of the ball at maximum height = 0u is the initial velocity of the ballg is acceleration due to gravityt is time of motion

0 = u - gt

gt = u

t = u/g

given;

the initial, u = 20 m/sthe acceleration due to gravity, g = 9.8 m/s²

t = (20) / 9.8

t = 2.04 s

Maximum height reached by the ball

The maximum height reached by the ball is calculated as follows;

v² = u² - 2gh

0 = u² - 2gh

2gh = u²

h = u²/2g

h = (20²) / (2 x 9.8)

h = 20.41 m

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5) Explain cell phone charging transformation:

Answers

Answer:

Charging a phone is the exact opposite of discharging a battery's energy. By supplying current (the manipulated variable), a charger transfers lithium ions from the positive electrode to the negative electrode, thus restoring energy

Explanation:

this is a multi-part question. once an answer is submitted, you will be unable to return to this part. a piece of plywood in which several holes are being drilled successively has been secured to workbench by means of two nails. knowing that the drill exerts a 29-n·m couple on the piece of plywood, determine the magnitude of the resulting forces applied to the nails for the given locations.

Answers

The magnitude of the resulting forces applied to the nails if they are located at A and B is 64.44 N, at B and C is 120.83 N and at A and C is 56.86 N.

We know that,

C = F d

where,

C = Couple

F = Magnitude of resulting forces

d = Distance between two points

Given that,

C = 29 N m

[tex]d_{AB}[/tex] = 450 mm = 0.45 m

[tex]d_{BC}[/tex] = 240 mm = 0.24 m

F = C / d

The magnitude of the resulting forces applied to the nails if they are located at A and B is

F = 29 / [tex]d_{AB}[/tex] = 29 / 0.45

F = 64.44 N

The magnitude of the resulting forces applied to the nails if they are located at B and C is

F = 29 / [tex]d_{BC}[/tex]  = 29 / 0.24

F = 120.83 N

The magnitude of the resulting forces applied to the nails if they are located at A and C is

F = 29 / [tex]d_{AC}[/tex]  

[tex]d_{BC}[/tex]  = √ ( [tex]d_{AB}[/tex] )² + ( [tex]d_{BC}[/tex] )²

[tex]d_{BC}[/tex]  = √ ( 0.45² + 0.24² )

[tex]d_{BC}[/tex]  = 0.51 m

F = 29 / 0.51

F = 56.86 N

A Couple is two parallel forces of equal magnitude acting in opposite direction.

Therefore, the magnitude of the resulting forces applied to the nails if they are located at

A and B is 64.44 NB and C is 120.83 N A and C is 56.86 N

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10. A girl cycles for 30s at a speed of 4 m/s. Calculate the distance she travels.

Answers

Answer:

120 m

Explanation:

4 m/s  * 30 s  = 120 m

True or false. An airplane can fly in space. True False

Answers

False.

Explanation: An airplane isn’t designed to fly at such high altitudes and the air is too thin to create the lift needed

Answer:

the answer to this question is false because a airplane wouldve survive in space

A man fire a bullet with a velocity of 500 m/s velocity upward.( use gravity 10m/s2.
calculate
A the maximum could the bullet rise
B THE VELOCITY OF THE BULLET AT t=10s ,20s and 60s
C. the time require to move up
D. the time of flight
E the height it rise at t=20s
F. the height it rise when first velocity equal to 40 m/s

Answers

The maximum height reached by the bullet is 12,500 m.

The velocity of the of the bullet at 10s is 600 m/s.

The velocity of the of the bullet at 20s is 700 m/s.

The velocity of the of the bullet at 60s is 1,700 m/s.

The time required for the object to move to maximum height is 50.5 seconds.

The height reacted by the bullet at time, t = 20 seconds is 12,000 m.

The height risen by the bullet when the first velocity is 40 m/s is 80 m.

What is the maximum height reached by the bullet?

The maximum height reached by the bullet is calculated as follows;

v² = u² - 2gh

v² = 2gh

h = v² /2g

h = (500²)/(2 x 10)

h = 12,500 m

Velocity of the of the bullet at various time interval

v = u + at

when t = 10 s

v = 500 m/s  +  10(10)

v = 600 m/s

when the time, t = 20 seconds

v = 500 + 20(10)

v = 700 m/s

when the time, t = 60 s

v = 500 + 20(60)

v = 1,700 m/s

Time required for the object to move to maximum height

t = √(2h/g)

t = √(2 x 12,500 / 9.8)

t = 50.5 seconds

Height reacted by the bullet at time, t = 20 seconds

h = ut + ¹/₂gt²

h = (500 x 20)  +  ¹/₂(10)(20²)

h = 12,000 m

Height risen by the bullet when the first velocity is 40 m/s

h = v² /2g

h = (40²)/(2 x 10)

h = 80 m

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True or False?
To every action force there is an equal and opposite reaction force is the law of conservation of momentum.

Answers

True

Hope this helped have a nice day ace your homework’s :)

A wave as represented by the equation Y = 2 sin π (0.5x - 200t) Where all distances are measured in cm and in Second. For this wave, calculate a) frequency b)wave length C )Speed d) Amplitude e)period f)wave number g)angular velocity ​

Answers

By calculating, a) frequency = 100 Hz b)wavelength = 4 cm  C )Speed = 400 cm/s d) Amplitude =  2 cm e)period = 0.01 s f)wave number  = 0.5π  g)angular velocity = 200π. ​

Given in question

Y = 2 sin π (0.5x - 200t)

Y = 2 sin (0.5πx - 200πt)

Comparing it with the standard form of a wave equation:

Y = Asin (kx - ωt) where

A= amplitude

K = wave number = 2π/λ where λ = wavelength

ω = Angular velocity = 2πf where f = frequency

We get

a) 2πf = 200π

    f = 100 Hz

b) 2π/λ =0.5π

   λ = 2π/0.5π

   λ = 4 cm

c) Speed v = ω/k

v = 200π/0.5π

v = 400 cm/s

d) A= amplitude = 2 cm

e)  period = 1/f = 0.01 s

f) K = wave number = 0.5π

g) ω = Angular velocity = 200π

Therefore, by comparing  a) frequency = 100 Hz b)wavelength = 4 cm  C )Speed = 400 cm/s d) Amplitude =  2 cm e)period = 0.01 s f)wave number  = 0.5π  g)angular velocity = 200π. ​

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the circuit directory gives the " " in a wording that would be clear for "nonelectrical" people to decipher and identify the circuit number for luminaires, receptacles, appliances, or equipment.

Answers

The circuit directory shows the load/area in a vocabulary that would be clear for "nonelectrical" people to decipher and determine the circuit number for luminaires, receptacles, appliances, or tools.

What is load divided by area?

True stress is the spread load divided by the actual cross-sectional scope of material. Engineering strain is the applied load separated by the original cross-sectional area of material. Also known as nominal stress.

What is area in stress formula?

As expected by the units, stress is assigned by dividing the force by the location of its generation, and since this area (“A”) is either sectional or axial, the basic stress formula is “σ = F/A”.

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compare copper sulfate with the elements that form copper sulfate

Answers

Copper sulfate is a salt that is made up of the copper ion and the sulfate ion further, the sulfate ion is the combination of the sulfur and the oxygen atom.

What is a Chemical compound?

The chemical compound is a combination of two or more  either similar or dissimilar chemical elements

As given in the problem we have to compare copper sulfate with the elements that form copper sulfate,

The salt copper sulfate is composed of the copper ion and the sulfate ion. In addition, the sulfate ion is a mixture of sulfur and oxygen atoms.

The chemical formula for the copper sulfate is CuSO₄ which is made up of a Copper (Cu) atom, Sulphur (S)  atom, and Oxygen (O) atom.

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How long does it take moonlight to reach earth given that the distance to the moon is 384,000 km?

Answers

It takes moonlight 1.3 seconds to reach earth.

Which is a type of fundamental force?
friction
spring force
normal force
weak interaction

Answers

According to the research, the correct option is weak interaction. A type of fundamental force is weak interaction.

What are fundamental forces?

They are those that cannot be explained based on other more basic ones, where the particles interact by virtue of some characteristic that they possess and according to physics, four fundamental forces are recognized at the quantum level:

GravitationalElectromagneticStrong nuclear forceWeak interaction

In this sense, weak interaction is manifested in the transmission of particles where neutrinos and antineutrinos are emitted, without electrical charge and whose mass is very small or even zero, as in the case of the photon.

Therefore, we can conclude that according to the research, the correct option is weak interaction. A type of fundamental force is weak interaction.

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Venus has the smallest orbital eccentricity of any of the planets. What is the eccentricity of Venus?(1 point)
Responses

1.0300


0.8040


0.0068


0.0000

Answers

The eccentricity of Venus is = 0.0068. That is option C.

What is orbital eccentricity?

The orbital eccentricity is defined as the measurement that is used to show how an orbit deviates from the shape of a circle.

The Venus is one of the planets of the universe that is the second closest to the sun.

The Venus is one of the planets that has a small orbital eccentricity being 0.006772 which is approximately 0.0068. This means that it is closest to being circular in shape.

The planets with the largest orbital eccentricity is the planet Mercury with orbital eccentricity of 0.2056.

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One way to control avalanches is to send explosive charges to key areas on mountain slopes to trigger small avalanches before larger ones can build up. Norway, for instance, uses solar- powered launchers that fire pre-timed charges. Your launcher fires charges at an angle of 70 degrees from the horizontal and a speed of 200 m/s. If you fire a charge and it travels a horizontal distance of 300 m away from you, how high up the slope will it strike?.

Answers

By using uniform motion, the high up the slope will it strike is 730.62 m.

We need to know about uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

θ = 70⁰

vi = 200 m/s

x = 300 m

Find the initial velocity in x and y axis

vx = vi cosθ = 68.40 m/s

vy = vi sinθ = 187.94 m/s

Find the time taken to reach 300 m

vx = x / t

68.4 = 300 / t

t = 4.39 second

Find the time taken to reach maximum height

vt = vo + a . t

0 = vy - g . t

vy = gt

187.94 = 9.8 . t

t = 19.18 second

The motion of projectile is raising to maximum height, hence

s = vo . t + 1/2 . a . t²

h = vy . t - 1/2 . g . t²

h = 187.94 . 4.39 - 1/2 . 9.8 . 4.39²

h = 730.62 m

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Cassie walked to her friend's house with an average speed of 1.40 m/s. The distance between
the houses is 205 m. How long did the trip take her?

Answers

Answer:

146.4 s

Explanation:

Distance / rate = time

205 m / 1.4 m/s =  146.4 s

C6H12O6 + 6O2 6CO2+6H2O + energy Which statement correctly compares the reactants and products of the equation?

Answers

The true statement about the equation of respiration is:

The mass of the reactants is the same as the mass of the products; option C.

What is respiration?

Respiration is the process by which living organisms break down large molecules such as glucose into smaller molecules such a carbon dioxide and water to release energy in the form of ATP.

Respiration are of two types in living organisms:

Aerobic respiration which requires oxygenanaerobic respiration that does not require oxygen

The equation of aerobic respiration is given below:

C₆H₁₂O₆ + 6 O₂ → 6 CO₂ + 6 H₂O + energy

In the given equation above, glucose reacts i the presence of oxygen is broken down into carbon dioxide and water and energy is released.

According to the law of conservation of mass, the mass of reactants is equal to the mass of the products.

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Note that the complete question is given below:

Respiration describes the process that living cells use to release energy by combining sugar and oxygen. The primary chemical changes that happen during respiration are shown in the equation below.

C₆H₁₂O₆ + 6 O₂ → 6 CO₂ + 6 H₂O + energy

Which statement correctly compares the reactants and products of the equation?

Which statement correctly compares the reactants and products of the equation?

A.

The mass of the reactants is less than the mass of the products.

B.

The mass of the reactants is greater than the mass of the products.

C.

The mass of the reactants is the same as the mass of the products.

D.

The number of reactant molecules is greater than the number of products.

a wrench 0.3 meters long lies along the positive yy-axis, and grips a bolt at the origin. a force is applied in the direction of ⟨0,−3,1⟩⟨0,−3,1⟩ at the end of the wrench. find the magnitude of the force in newtons needed to supply 100 newton-meters of torque to the bolt.

Answers

The magnitude of the force in newtons needed to supply 100 newton-meters of torque to the bolt is   359N.

What is magnitude of force?

The amount that encapsulates the force's power is known as its magnitude. Consider the following scenario: the force is 10 N in the east. The direction is indicated by "towards east," while the force is indicated by "10." Magnitude may be thought of as simply the "value" or "amount" of any physical quantity.

The force applied that applies torque is:

Fz = 100 N-m / .3m = 333.33 N

Find the angle:

theta = tan^-1 ( 5/2) = 68.19 degrees

Total force:

F= 333.33 / sin(68.19) = 359N

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Bob and carol are both observing the moon at exactly the same time. However, bob is in miami and carol is in los angeles. Bob observes the moon in the first quarter phase. In what phase will carol observe the moon to be?.

Answers

Bob and Carol are both observing the moon at exactly the same time. However, bob is in Miami and carol is in Los Angeles. Bob observes the moon in the first quarter phase. Carl will also observe the moon in the first quarter phase.

The moon cycle consists of four primary and secondary phases.

The four primary phases are New Moon, First Quarter Phase , Full Moon, and the Last Quarter.

During the new moon and full moon periods, there are definite chances of solar and lunar eclipses.

The secondary phases of the moon are waxing crescent, waxing gibbous, waning gibbous, and waning crescent.

In the southern hemisphere and northern hemisphere, people observe the same phases of the moon.

As Miami and Los Angeles are in the southern hemisphere i.e. south of the equator, therefore, people living in that hemisphere will observe the moon in the same phases.  Thus Bob and Carol will also observe the moon in the first quarter phase from different cities.

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a man accidentally kicks a pebble off a cliff that is 18 m high with a horizontal velocity of 2.3 m/s. How long does it take to hit the ground below?

Answers

A pebble off a cliff to hit the ground below t = 0.128 sec.

Equation :

Given,

distance = 18m

velocity = 2.3m /s

time = ?

To find the time in given data,

Use formula,

velocity = distance / time

Putting the value in formula,

We get,

2.3 m/s = 18 m / t

t = 2.3 m/s / 18 m

t = 0.128 sec

Velocity :

The vector quantity velocity (v), denoted by the equation v = s/t, measures displacement (or change in position, s), over change in time (t). Speed (or rate, r) is a scalar quantity, denoted by the equation r = d/t, that measures the distance traveled (d) over the change in time (t).

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PLEASE HELP ASAP!!! A hiker walks 12cm North in 2 hours what is his velocity?

Answers

Answer:

[tex]\boldsymbol {\boxed{v = 12 \ \dfrac{\text{ km}}{\text{hr}} }}[/tex]

Explanation:

Data:

t = 2 hr

S = 12 km

Find:

[tex]v \ - \ ?[/tex]

-----------------------------------

Solution:

[tex]\boldsymbol {\boxed{v = \dfrac{S}{t} }}[/tex]

Calculations:

[tex]\boldsymbol v =[/tex] 12 km / 2 hr = 6 km/hr.

Answer: [tex]v =[/tex] 6 km/hr.

Show your work on the following problems.
1.
An airplane accelerates down a run-way at 3.20 m/s? for 32.8 s until is finally lifts off the ground
Determine the distance traveled before take-off.
2.A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. De
acceleration of the car and the distance traveled.
3.
A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the
acceleration of the car and the distance traveled.
4.
A bullet leaves a rifle with a muzzle velocity of 521 m/s. While accelerating through the barrel of
the rifle, the bullet moves a distance of 0.840 m. Determine the acceleration of the bullet (assume a
uniform acceleration).

Answers

The distance travelled by the airplane before takeoff is 1721 m.

2. The acceleration of the race car is 11.2 m/s², and Distance travelled by the car is 79.9 m.

3. The acceleration of the bullet is 1.62 * 10⁵ m/s².

What is the distance travelled by the airplane before takeoff?

The distance travelled by the airplane before takeoff is determined using the formula:

s = ut + ¹/₂at²

u = 0; a = 3.20 m/s², t = 32.8 s

s = 0 * 32.0 +  ¹/₂ * 3.2 * 32.8²

s = 1721 m

2. The acceleration of the race car is calculated as follows:

a = (v - u)/t

v = 46.1 m/s, u = 18.5 m/s, t = 2.47 s

a = (46.1 - 18.5)/2.47

a = 11.2 m/s²

Distance travelled, s = 18.5 * 2.47 + ¹/₂ * 11.2 * 2.47²

s = 79.9 m

3. The acceleration of the bullet is calculated as follows:

a = (v² - u²)/2s

where v = 0 m/s, u = 521 m/s, s = 0.840 m

a = (0² - 521²)/2 * 0.840

a = 161572.0238

a = 1.62 * 10⁵ m/s²

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A 0.7500 cm diameter plastic sphere, used in a static electricity demonstra-tion, has a uniformly distributed 60.0 pc charge on its surface. what is the potentialnear its surface?

Answers

For a 0.7500 cm diameter plastic sphere, used in a static electricity demonstration, the potential near its surface is 144V.

Calculation

V= kq/r = 9 x [tex]10^{9}[/tex] [tex]\frac{6*10^{-11}}{0.00375}[/tex]

=144 V

What is potential?

The magnitude of the potential point per unit charge is the electric potential at a specific point. However, the following definition is far more accurate: The amount of work required to move a unit positive charge from infinity to a certain place is known as the electric potential at that location.

Potential is characterized as a thing’s potential to materialize. The greatest grades to which a specific student is capable are an illustration of potential.

What does voltage’s potential mean?

The external effort required to move a charge in an electric field from one position to another is known as an electric potential difference, or voltage.

The difference in potential energy experienced by an object is known as its electric potential.

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Can an object with constant acceleration reverse its direction of travel? can it reverse its direction twice? in both cases, explain your reasoning

Answers

Answer:

It is not possible to change direction twice, given constant acceleration. To convince yourself, imagine any general v−t graph - it would be straight line in case of constant acceleration. Change in direction corresponds to v going from positive to negative or vice versa.Explanation:

Answer:It is not possible to change direction twice, given constant acceleration. 

Explanation:To convince yourself, imagine any general v−t graph - it would be straight line in case of constant acceleration. Change in direction corresponds to v going from positive to negative or vice versa.

011 10.0 points
The acceleration due to gravity on planet X is one fifth that on the surface of the earth.
If it takes 4.6 s for an object to fall a certain distance from rest on earth, how long would it take to fall the same distance on planet X?
Answer in units of s.

Answers

If it takes 4.6 seconds for an object to fall a certain distance from rest on earth, then it would take 10.29 seconds to fall the same distance on planet X.

What are the three equations of motion?

There are three equations of motion given by  Newton,

v = u + at

S = ut + 1/2×a×t²

v² - u² = 2×a×s

Keep in mind that these calculations only apply to uniform acceleration.

As given in the problem, The acceleration due to gravity on planet X is one-fifth that on the surface of the earth. If it takes 4.6 s for an object to fall a certain distance from rest on earth, then we have to find how long would it take to fall the same distance on planet X,

By using the second equation of motion given by newton,

Let us suppose the acceleration due to gravity on the earth is 10 m / s²

S = ut + 1/2at²

  = 0 + 0.5×10×4.6²

  = 105.8 meters

The acceleration due to gravity on planet X = 2 meters / second

S = ut + 1/2at²

105.8 = 0 + 0.5×2×t²

t² = 105.8

t = 10.29 seconds

Thus, it would take 10.29 seconds to fall the same distance on planet X

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If two robots are racing on a 100 meter length straight line track. One is traveling two times as quickly as the other robot. What could be changed other than speed that would allow the slower of the two robots win the race ?

Answers

Change in the starting time of the robots for the race will allow the slower robot to win the race.

Robots are any autonomously run machines that eliminate the need for human labour, even if they may not look like humans or carry out tasks in a way that is humanlike. Robotics, then, is the branch of engineering that deals with the creation, maintenance, and use of robots.

Although the idea of synthetic people predates written history, the term "robot" is derived from the Czech word "robota," which means "forced labour" or "serf," and was used in Karel apek's play R.U.R. (1920).

Runaround, a work of science fiction by Isaac Asimov, introduced the word robotics (1942). It established a new level of plausibility regarding the possible difficulty of creating sentient robots and the potential technological and societal issues that might arise, along with Asimov's other robot stories.

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a car sitting at a red light begins to accelerate at 2.0 m/s 2 m/s2 when the light turns green. it continues with this acceleration until it reaches a speed of 20 m/sm/s . it then travels at this speed for another few minutes. how far does the car travel in the first 34 ss after the light changes to green?

Answers

The car travels a distance of 820m in the first 34s after the light changes to green.

Acceleration, a = 2ms⁻²

Initial velocity, u = 0 ms⁻¹ (Since the car start from rest)

Final velocity, v = 20 ms⁻¹

From first equation of motion,

v - u = at

20 - 0 = 2 × t

20 = 2t

t = 10s

From second equation of motion,

S = ut + ¹/₂ at²

Distance travelled during 10s:

S₁ = 0 × 10 + ¹/₂ × (10)²

S₁ = 100m

Distance travelled for the remaining 36s:

S₂ = v × t

S₂ = 20 × 36

S₂ = 720m

Total distance travelled:

S = S₁ + S₂

S = 100 + 720

S = 820m

Therefore, the car travels a distance of 820m in the first 34s after the light changes to green.

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One way to control avalanches is to send explosive charges to key areas on mountain slopes to trigger small avalanches before larger ones can build up. Norway, for instance, uses solar- powered launchers that fire pre-timed charges. Your launcher fires charges at an angle of 70 degrees from the horizontal and a speed of 200 m/s. If you fire a charge and it travels a horizontal distance of 300 m away from you, how high up the slope will it strike?.

Answers

By using uniform motion, the high up the slope will it strike is 730.62 m.

We need to know about uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

θ = 70⁰

vi = 200 m/s

x = 300 m

Find the initial velocity in x and y axis

vx = vi cosθ = 68.40 m/s

vy = vi sinθ = 187.94 m/s

Find the time taken to reach 300 m

vx = x / t

68.4 = 300 / t

t = 4.39 second

Find the time taken to reach maximum height

vt = vo + a . t

0 = vy - g . t

vy = gt

187.94 = 9.8 . t

t = 19.18 second

The motion of projectile is raising to maximum height, hence

s = vo . t + 1/2 . a . t²

h = vy . t - 1/2 . g . t²

h = 187.94 . 4.39 - 1/2 . 9.8 . 4.39²

h = 730.62 m

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