check the dimensional consistencies of s =vot+1/2at2​

Answers

Answer 1

Answer:

s is distance so it's dimensions become L.

Nd other side we have ut+1\2at^2.

as 1\2 is a constant it will have dimensions and apply the dimensions to other quantities.

on solving u will get L there also i,e ur LHS = RHS.

thus the equation is dimensionally consistent.

Explanation:


Related Questions

newtons law of gravitation is called a universal law why​

Answers

Answer:

it is applicable on all bodies having mass and the bodies Will be governed by the same law

While helping a friend move, you lift a 176 N box full of books and perform 180 J of work to do so. What distance, directly upward, do you lift the box? Show all your work.

Answers

Answer:

d = 1.022 [m]

Explanation:

Work in physics is defined as the product of force by distance. In this way we have the following expression.

[tex]W=F*d[/tex]

where:

W = work done = 180 [J] (units of Joules)

F = force = 176 [N]

d = distance [m]

[tex]d = W/F\\d = 180/176\\d = 1.022 [m][/tex]

1.What is the influence of Greek Philosophy on the understanding of human-environment? What is the implication of this on the relationship of human beings and the human environment?

Answers

Explanation:

The theory which is linked to person and climate is more concerned with Mother Nature and human's position within it. It is a misconception that humans are the most important species on this planet and they are relying on other species for their life. Conservation ethics also revolve around making human societies and habitats healthier, preserving vital resources for the present and future. This philosophical approach values the human/nonhuman interaction of nature, understanding how humans and the world have a continuing causal association with one another.


Linear momentum is conserved is a system when the net force is equal to

Answers

Answer:

zero

Explanation:

The linear momentum is conserved when the system is closed. Therefore, the net force is zero.

A -0.6 C charge that moves downward is in a uniform electric field with a strength of 200 N/C what is the magnitude and direction of the force on the charge

Answers

Answer:

The magnitude and direction of the force on the charge is 120 N in the direction of the charge.

Explanation:

Given;

magnitude of the charge, q = 0.6 C

electric field strength, E = 200 N/C

The magnitude of the electric force is calculated as;

F = Eq

where;

F is the magnitude of the force

Substitute the given values and solve for F;

F = (200)(0.6)

F = 120 N in the direction of the charge.

Therefore, the magnitude and direction of the force on the charge is 120 N in the direction of the charge.

A 40 kg boy is moving upwards in a lift with an acceleration of 2 m /s ^2 what would be the weight felt by him if measuured in a scale

Answers

Answer:

40×(9.8+2)=432n

Explanation:

9.8m/s^2 is acceleration of gravity

a horizontal force of 50 Newtons acts on a body of mass 3kg placed on a rough horizontal surface, giving it an acceleration of 8m/s2​

Answers

Explanation:

Fnet = ma = (3kg)(8m/s²) = 24N.

50N - 24N = 26N.

Hence the frictional force is 26N.

Sudhir walks 0.40 km in a direction 60.0° west of north, then goes 0.50 km due west. What is his displacement?

Answers

Answer:

The displacement of Sudhir is 0.781 km.

Explanation:

Given;

initial distance, d₁ = 0.4 km = 400 m, N60.0°W

final distance, d₂ = 0.5 km

Make a sketch of Sudhir motion to form a right angled triangle;

(Check image uploaded).

Apply cosine rule to determine d "displacement"

d² = 500² + 400² - (2 x 500 x 400 x cos 120)

d² = 410,000 - (400,000 x -0.5)

d² = 410,000 - (-200,000)

d² = 410,000  + 200,000

d² = 610,000

d = √610000

d = 781.03 m

d = 0.781 km

Therefore, the displacement of Sudhir is 0.781 km.

Strong magnetic fields created by high currents can result in:910 A. Arc flash B. Arc blast C. Large mechanical stresses that may cause conductors to move D. Shock

Answers

Answer:

B. Arc blast

Explanation:

Arc blast are as a result of rapid injection of electrical energy into an arc. These shock waves and arc blast pressure wave at low level can lead to damage of eardrums at lower levels and cardiac arrest at high levels.

Strong magnetic fields created by high currents (> 100 kA) can result to equipment destruction. These arc blast hazards are mostly found in high-energy power circuits and large capacitor banks.

A person rides in an elivator. What is the equal and opposite force for the force of the elevator floor pushing up on the person as described by Newton’s third law?

Answers

Answer:

weight of the person and reaction force according to that weight by the elevator

every action has an equal and opposite reaction

Weight of the person and reaction force according to that weight by the elevator is balanced.

What is Newton's third law?

According to the third law, when two objects interact, they exert equal-sized and opposite-direction forces upon one another.

A person rides in an elivator then the equal and opposite force for the force of the elevator floor pushing up on the person as described by Newton’s third law and are balanced.

Weight of the person and reaction force according to that weight by the elevator is balanced.

To learn more about force refer to the link:

brainly.com/question/13191643

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Increasing the number of turns on the generator coil....? 1 point Increases the voltage output. Does not alter the output voltage. Reduces the output voltage.

Answers

Answer:

increases the voltage output

Explanation:

By Increasing the number of turns on the generator coil , the output volatge of a generator increases. However, there are various other methods availbble to increase the output voltage of a generator. Some of these can be

1. By increasing the rpm of generator coil.

2. By using stronger magnets

traveling at about 30 mph, how many feet will the average driver cover from the time they see the danger until they hit the brakes

Answers

Answer: 75 ft

Explanation:

Breaking distance = Speed²/ 20

= 30²/20

= 45 feet

Stopping distance = Speed + braking distance

= 30 + 45

= 75 ft

A race car was is moving at a constant speed of 35 m/s. A security car was
moving at a speed of 5 m/s as the race car passes by it and was accelerating at
constant rate of 5 m/s2. what was the speed of the security car when it took
over the race car?
65 m/s
60 m/s
35 m/s
5 m/s

Answers

Answer:

Final speed of security car v = 65 m/s

Explanation:

Given:

Speed of race car u1 = 35m/s

Speed of security car u2 = 5 m/s

Acceleration = 5 m/s²

Find:

Final speed of security car v

Computation:

Assume, they chase S meter

So

S = u1t + [1/2]at²

S = 35t

S = u2t + [1/2]at²

so,

35t = 5t +  [1/2](5)t²

t = 12 s

So

v = u + at

v = 5 + 5(12)

Final speed of security car v = 65 m/s

The level of mercury falls in a barometer
while taking it to a mountain.​

Answers

Answer:

This is due to a relative decrease in atmospheric pressure in high places.

Explanation:

Given that atmospheric pressure decreases at the higher point or ground, this reduced atmospheric pressure, however, will be unable to contain the Mercury in the barometer tube.

Therefore, at the top of the mountain where the air pressure is low, the barometer reading ultimately goes down.

Hence, the level of mercury falls in a barometer while taking it to a mountain "due to a relative decrease in atmospheric pressure in high places."

What exercise will strengthen your legs?

Biking
Stretching
Lifting a box
Playing catch

Answers

Biking will strengthen your legs

Answer:

biking

Explanation:

To make the Bike move you peddle with your legs.

What are the units of Mass and Weight in the English System? Explain.

Answers

Answer:

I tried...

Explanation:

Assuming the English system of mass and weight is the same as the Imperial system, the measurements are:

• 1 pound (lb) = 16 ounces (oz)

• 2,000 pounds (lbs) = 1 ton (T)

I think that's everything?

In the English system, mass is measured in pounds and weight is also measured in pounds. However, it is important to understand the difference between mass and weight.

Mass is a measure of the amount of matter in an object and is a scalar quantity. It does not change with location or gravitational force. In the English system, mass is typically measured using a scale or balance, which compares the object's mass to a standard mass. The pound (lb.) is the unit of mass in the English system.

Weight, on the other hand, is a measure of the force exerted on an object due to gravity and is a vector quantity. It depends on the object's mass and the gravitational force acting on it. In the English system, weight is typically measured using a spring scale or a balance that incorporates a spring. The pound (lb.) is also used as the unit of weight in the English system.

Weight = Mass x Acceleration due to gravity

Mass is measured in pounds (lb.) and weight is also measured in pounds (lb.).It is important to note that weight can vary depending on the gravitational force acting on an object.

Learn more about weight here:

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A bicyclist travels 4.5 km west, then travels 6.7 km at an angle 27.0 degrees South of West. What is the magnitude of the bicyclist's total displacement?

Answers

Answer:

10.90km

Explanation:

Magnitude of the total displacement is expressed using the equation

d = √dx²+dy²

dx is the horizontal component of the displacement

dy is the vertical component of the displacement

dy = -6.7sin27°

dy = -6.7(0.4539)

dy = -3.042

For the  horizontal component of the displacement

dx = -4.5 - 6.7cos27

dx = -4.5 -5.9697

dx = -10.4697

Get the magnitude of the bicyclist's total displacement

Recall that: d = √dx²+dy²

d = √(-3.042)²+(-10.4697)²

d = √9.2538+109.6146

d = √118.8684

d = 10.90km

Hence the magnitude of the bicyclist's total displacement is 10.90km

The bicyclist magnitude of displacement is equal to 9.62m

Resolution of Vectors

To find the resultant magnitude of the bicyclist total displacement, we have to find the x and y component.

For the first direction, the components are

[tex]x_1 = -4.5i[/tex]

sine we don't have any vertical displacement, the y-component is equal to zero.

for the second direction,

[tex]x_2 = -6.7sin27i\\y_2= 6.7cos27j[/tex]

The resultant x and y component are;

[tex]R_x = -4.5i + (-6.7sin27i)\\R_x = -7.54i[/tex][tex]R_y = 0 + 6.7cos27= 5.97j[/tex]

Let's find the magnitude of displacement

[tex]R = \sqrt{R_x^2 + R_x^2}\\R = \sqrt{(-7.54)^2 + (5.97)^2 }\\\\R = 9.62m[/tex]

The bicyclist magnitude of displacement is equal to 9.62m

Learn more on resolution of vectors here;

https://brainly.in/question/3543542

HELP ME ASAP PLEASE!!Which natural phenomenon can trigger a landslide?
O intense rain or an earthquake
O light breezes or a flowing stream
O heavy snow or continuous sunlight
O icy conditions or ground surface melting

Answers

Answer:

O Intense rain or an earthquake

Explanation:

Landslides can be initiated in slopes already on the verge of movement by rainfall, snowmelt, changes in water level, stream erosion, changes in ground water, earthquakes, volcanic activity, disturbance by human activities, or any combination of these factors.

Intense rain or an earthquake can trigger a landslide.

Landslide is a natural phenomenon in which a mass of rock and/or earth moves down a slope.

An earthquake is a major geologic hazard that shakes the Earth and thus can induce a landslide.

Intense rain can also induce a landslide because humidity on the ground also leads to disturbances in the natural stability of the slope.

In conclusion, intense rain or an earthquake can trigger a landslide.

Learn more about landslides here:

https://brainly.com/question/7555672

An electric heater is rated at 1500 W. If the heater is rated as 80% efficient, calculate the output
rate of energy​

Answers

Answer:

Power = 1200 [W].

Explanation:

The efficiency of an electrical equipment is defined as the relationship between the power realized, over the power that is consumed. For this case, they give us the data of consumed power and efficiency in this way we can calculate the power that the equipment performs.

[tex]Efficency=\frac{Power_{done}}{P_{consumed}}\\0.8 = \frac{Power_{done}}{1500} \\Power_{done}=1500*0.8\\Power_{done} = 1200 [W][/tex]

This means that of the 1500 [W], 1200 [W] are actually used to get the job done. This is established by means of the first law of thermodynamics.

help pls physics problem

Answers

Answer:

0.4329 seconds

Explanation:

We are given;

Distance; d = 0.635 m

Velocity; v = 3.22 m/s

Angle; θ = 62.9°

To find the time, we have to find the horizontal component of the velocity.

Thus, Vx = 3.22 × cos 62.9

Formula for time is;

t = d/Vx

t = 0.635/(3.22 × cos 62.9)

t = 0.4329 sec

Thus the time he will take to clear the hurdle is 0.4329 sec

PLEASE ANSWER WILL MARK BRAINLIEST















Im doing it for free just say something to make meh smile and u get brainliest :3

Answers

Answer:

your pretty no matter what others say

Explanation:

Answer:

two bros chillin in a hot tub five feet apart cuz there not gay

Explanation:

do you remember this vine

A runner went from 6 m/s and two seconds what was his acceleration

Answers

Answer:

is it 3?

Explanation:

Im taking a guess and just dividing 6 and 2

Rank this objects in order of their acceleration small to larger

Answers

Answer:

The answer is "DACB".

Explanation:

The missing data of the question is defined in the attached file please find it.

Using formula:

[tex]\to F= m \cdot a\\\\ \to m= 5 \ kg[/tex]

In object A:

[tex]F= 15 \\\\a =\frac{F}{m} = \frac{15}{5} = 3[/tex]

In object B:

[tex]F= 30 \\\\a =\frac{F}{m} = \frac{30}{5} = 6[/tex]

In object C:

[tex]F= 20 \\\\a =\frac{F}{m} = \frac{20}{5} = 4[/tex]

In object D:

[tex]F= 0 \\\\a =\frac{F}{m} = \frac{0}{5} = 30[/tex]

That's why the answer is "DACB" .

PLEASE HELP! I know the answer to this, but I need an explanation.

Answers

Let r be the distance between the man and point Q. He applies a torque of

(r i ) × ((-800 N) j ) = ((-800 N) r ) k

pointing "into the page" with magnitude (800 N) r.

Meanwhile, the rope applies a torque of

((3.0 m) i ) × ((500 N) j ) = (1500 N•m) k

pointing out of the "page" with mag. 1500 N•m

The beam is held in place in a horizontal position, so the torques cancel and

(800 N) r = 1500 N•m

r = (1500 N•m)/(800 N) = 1.875 m ≈ 1.9 m

Derive 3:
v2=u2 + 2as​

Answers

I HAVE ATTACHED A FILE..

Please find the attached photograph for your answer

Which topic are you most likely to find in a physics textbook?
A.
photosynthesis
B.
electricity and magnetism
C.
metals and nonmetals
D.
division of a living cell
E.
ionic, covalent, and metallic bonding

Answers

Answer: C. electricity and magnetism  

Explanation:

Answer:

B.

electricity and magnetism

is the ans

I find this in physics

Why do clownfish rarely go far from their home

Answers

Answer:

In the wild, clownfish rarely leave their anemone home. In fact, part of its purpose is to defend the anemone from other fish. However, clownfish bred in aquariums (without an anemone home) may still have this instinct, but it’s much calmer than wild harvested species.

Explanation:

Clownfish have no defense mechanism of their own, which is one reason they never stray to far away from their anemone.

A projectile is shot a cliff of 20m high, at an angle of 60o with respect to the horizontal, and it lands on the ground 8 seconds later. Find: a) the initial speed ? b) the speed of the projectile after 4 s c) the horizontal range d)the maximum height it reached e) what was the speed of the projectile when it landed on the ground?

Answers

Answer:

a) The initial speed of the projectile is approximately 42.410 meters per second.

b) The speed of the projectile after 4 seconds is approximately 21.352 meters per second.

c) The horizontal range of the projectile is 169.64 meters.

d) The maximum height of the projectile is 68.775 meters.

e) The speed of the projectile when it landed on the ground is approximately 46.807 meters per second.

Explanation:

According to the statement, the projects shows a parabolic motion, which consists in the combination of horizontal uniform motion and vertical uniformly accelerated motion due to gravity. This motion is represented by the following equations of motion:

[tex]x = x_{o} + v_{o}\cdot t\cdot \cos \theta[/tex] (1)

[tex]y = y_{o} + v_{o}\cdot t\cdot \sin \theta + \frac{1}{2}\cdot g\cdot t^{2}[/tex] (2)

Where:

[tex]x_{o}[/tex], [tex]x[/tex] - Initial and current horizontal position, measured in meters.

[tex]y_{o}[/tex], [tex]y[/tex] - Initial and current vertical position, measured in meters.

[tex]\theta[/tex] - Launch angle, measured in sexagesimal angle.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

[tex]t[/tex] - Time, measured in second.

a) By using (2) and knowing that [tex]y_{o} = 20\,m[/tex], [tex]y = 0\,m[/tex], [tex]t = 8\,s[/tex], [tex]\theta = 60^{\circ}[/tex] and [tex]g = -9.807\,\frac{m}{s^{2}}[/tex], then initial speed of the projectile is:

[tex]v_{o}\cdot t \cdot \sin \theta = y-y_{o}-\frac{1}{2}\cdot g\cdot t^{2}[/tex]

[tex]v_{o} = \frac{y-y_{o}-\frac{1}{2}\cdot g\cdot t^{2} }{t\cdot \sin \theta}[/tex]

[tex]v_{o} = \frac{0\,m-20\,m-\frac{1}{2}\cdot \left(-9.807\,\frac{m}{s^{2}} \right)\cdot (8\,s)^{2} }{(8\,s)\cdot \sin 60^{\circ}}[/tex]

[tex]v_{o} \approx 42.410\,\frac{m}{s}[/tex]

The initial speed of the projectile is approximately 42.410 meters per second.

b) The vertical component of the velocity of the projectile is determine by differentiating (2) in time and substitute all known values:

[tex]v_{y} = v_{o}\cdot \sin \theta +g\cdot t[/tex] (3)

([tex]v_{o} \approx 42.410\,\frac{m}{s}[/tex], [tex]\theta = 60^{\circ}[/tex], [tex]g = -9.807\,\frac{m}{s^{2}}[/tex] and [tex]t = 4\,s[/tex])

[tex]v_{y} = -2.5\,\frac{m}{s}[/tex]

The horizontal component of the velocity of the projectile is:

[tex]v_{x} = v_{o}\cdot \cos \theta[/tex]

[tex]v_{x} = 21.205\,\frac{m}{s}[/tex]

And the speed of the projectile is determined by Pythagorean Theorem:

[tex]v = \sqrt{v_{x}^{2}+v_{y}^{2}}[/tex]

[tex]v = \sqrt{\left(21.205\,\frac{m}{s} \right)^{2}+\left(-2.5\,\frac{m}{s} \right)^{2}}[/tex]

[tex]v \approx 21.352\,\frac{m}{s}[/tex]

The speed of the projectile after 4 seconds is approximately 21.352 meters per second.

c) By (1) we find the horizontal range of the projectile:

([tex]x_{o} = 0\,m[/tex], [tex]v_{o} \approx 42.410\,\frac{m}{s}[/tex], [tex]\theta = 60^{\circ}[/tex], [tex]g = -9.807\,\frac{m}{s^{2}}[/tex] and [tex]t = 8\,s[/tex])

[tex]x = 0\,m + \left(42.410\,\frac{m}{s} \right)\cdot (8\,s)\cdot \cos 60^{\circ}[/tex]

[tex]x = 169.64\,m[/tex]

The horizontal range of the projectile is 169.64 meters.

d) The projectile reaches its maximum height when velocity is zero. By (3) and knowing that [tex]v_{y} = 0\,\frac{m}{s}[/tex], [tex]v_{o} \approx 42.410\,\frac{m}{s}[/tex] and [tex]g = -9.807\,\frac{m}{s^{2}}[/tex], the time associated with maximum height is:

[tex]0\,\frac{m}{s} = \left(42.410\,\frac{m}{s}\right)\cdot \sin 60^{\circ}+\left(-9.807\,\frac{m}{s^{2}} \right) \cdot t[/tex]

[tex]t = 3.745\,s[/tex]

And by (2) and knowing that [tex]y_{o} = 20\,m[/tex], [tex]v_{o} \approx 42.410\,\frac{m}{s}[/tex], [tex]t = 3.745\,s[/tex], [tex]\theta = 60^{\circ}[/tex] and [tex]g = -9.807\,\frac{m}{s^{2}}[/tex], the maximum height reached by the projectile is:

[tex]y = 20\,m + \left(42.410\,\frac{m}{s} \right)\cdot (3.745\,s)\cdot \sin 60^{\circ}+\frac{1}{2}\cdot \left(-9.807\,\frac{m}{s^{2}} \right)\cdot (3.745\,s)^{2}[/tex]

[tex]y = 68.775\,m[/tex]

The maximum height of the projectile is 68.775 meters.

e) If we know that [tex]y_{o} = 20\,m[/tex], [tex]v_{o} \approx 42.410\,\frac{m}{s}[/tex], [tex]t = 8\,s[/tex], [tex]\theta = 60^{\circ}[/tex] and [tex]g = -9.807\,\frac{m}{s^{2}}[/tex], the components of the speed are, respectively:

[tex]v_{y} = \left(42.410\,\frac{m}{s}\right)\cdot \sin 60^{\circ} + \left(-9.807\,\frac{m}{s^{2}} \right)\cdot (8\,s)[/tex]

[tex]v_{y} = -41.728\,\frac{m}{s}[/tex]

[tex]v_{x} = v_{o}\cdot \cos \theta[/tex]

[tex]v_{x} = 21.205\,\frac{m}{s}[/tex]

And the speed of the projectile is determined by Pythagorean Theorem:

[tex]v = \sqrt{v_{x}^{2}+v_{y}^{2}}[/tex]

[tex]v = \sqrt{\left(21.205\,\frac{m}{s} \right)^{2}+\left(-41.728\,\frac{m}{s} \right)^{2}}[/tex]

[tex]v \approx 46.807\,\frac{m}{s}[/tex]

The speed of the projectile when it landed on the ground is approximately 46.807 meters per second.

Which of the following statements would be best described as an expression of an attitude that is low in accessibility and high in ambivalence?
A.
Frank: “I eat a banana for breakfast everyday. I’ve loved them since I was little.”
B.
Judy: “I really dislike bananas. I don’t know why. I just always have.”
C.
Ralph: “I’m not sure about bananas. I’d have to think about it.”
D.
Fiona: “I am a huge banana fan. I don’t know why. I just like them.”

Answers

Answer:

The answer is C. Ralph: “I’m not sure about bananas. I’d have to think about it.”

Explanation:

I did the practice.

Answer:

C.) Ralph: "I'm not sure about bananas. I'd have to think about it."

Explanation:

Just took the practice

What are organs made of?
O Organs are made of colections of tissues,
O Organs are made of cells, but not tissues.
O Organs are made of collections of other
O Organs are made of muscle and bone.
DONE

Answers

Organs are made of tissues

Tissues are made of cells though so it’s kinda a weird question lol

Answer:

Organs are made of collections of tissues, which are groups of cells.

Explanation:

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