32.What is the area under the curve between 0 seconds and 2 seconds?

33. At what timeſs) is the car not moving?

Answer:

[1, 6, -2]

Explanation:

Given the following :

Initial Position of spaceship : [3 2 4] km

Velocity of spaceship : [-1 2 - 3] km/hr

Location of ship after two hours have passed :

Distance moved by spaceship :

Velocity × time

[-1 2 -3] × 2 = [-2 4 -6]

Location of ship after two hours :

Initial position + distance moved

[3 2 4] + [-2 4 -6] = [3 + (-2)], [2 + 4], [4 + (-6)]

= [3-2, 2+4, 4-6] = [1, 6, -2]

The location of the spaceship after 2 hours have passed is [1, 6, -2]

Since

Initial Position of spaceship : [3 2 4] km

Velocity of spaceship : [-1 2 - 3] km/hr

Now

Location of the ship after two hours should have passed

So,

Distance moved by spaceship should be

= Velocity × time

= [-1 2 -3] × 2

= [-2 4 -6]

Now

Location of ship after two hours should be

= Initial position + distance moved

= [3 2 4] + [-2 4 -6]

= [3 + (-2)], [2 + 4], [4 + (-6)]

= [3-2, 2+4, 4-6]

= [1, 6, -2]

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Answer:

the correct answer is C

Explanation:

When we express that the scale is 1:30 we mean that the objects of the realization are reduced by a factor of 30 in the graph, for example a distance of 30 cm in the graph is represented by a distance of 1 cm.

Therefore something that in the graph has n value to bring it to real size must be multiplied by the scale.

Applying this to our case if there is

               10 boulder on the chart

in reality there are #_boulder = 10 30

                                #_boulder = 300 boulder

so the correct answer is C

Answer: Acceleration

Explanation: In this case its most likely acceleration as it has the definition of quick change in velocity. Therefore, the answer is acceleration.

Acceleration refers to the rate of the change in the velocity , therefore the correct answer is option B .

The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².

As given in the problem statement we have to find out which terminology from the given list of options refers to the rate of change in velocity .

Speed refers to the rate of the change in the distance, while magnitude refers to the numerical quantity of any measured quantity .

The acceleration of any material = rate of the change of the velocity of the material

Thus , Acceleration refers to the rate of the change in the velocity, therefore the correct answer is option B.

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Answer:

common glass

Explanation:

Answer:

The number of protons in an atom of an element is unique to each element. A proton in an atom of one element is identical to a proton in an atom of another element. The number of protons in an atom of an element is the same for all elements.

Answer:

Mass of chips: Gram ( g )

Your mass: Kilogram ( kg )

Answer:

farad

Explanation:

The farad (symbol: F) is the SI derived unit of electrical capacitance, the ability of a body to store an electrical charge. It is named after the English physicist Michael Faraday. hope this helps you :)

Explanation:

The force between two bodies is given by :

[tex]F=G\dfrac{m_1m_2}{r^2}[/tex]

And this force is called the gravitational force

r is the distance between bodies

G is universal gravitational constant

[tex]G=\dfrac{Fr^2}{m_1m_2}[/tex]

SI unit of force is Newton or N

SI unit of r is meter or m

The SI unit of m₁ and m₂ is kg

[tex]G=\dfrac{\text{Nm}^2}{\text{kg}^2}\\\\G=Nm^2kg^{-2}[/tex]

Newton = kg m/s²

So,

[tex]G=\dfrac{kgm^3}{s^2kg^2}\\\\G=kg^{-1} m^3s^{-2}[/tex]

Hence, this is the required solution.

Answer:

-36 m

Explanation:

In the diagram, the front of the black car is used as reference point which is point 0. The distance from the black car to the front of the red car is 15 m while the distance from the black car to the white van is - 21 m. The negative sign means the white van is behind the black car.

If the red car is used as the reference (point 0), the distance from the black car to the red car would be -15 m and the distance from the black car to the white van would be -21 m. Hence:

Distance from red car to white van = distance from the black car to the red car  + distance from the black car to the white van = -15 + (-21)

Distance from red car to white van = -15 - 21 = -36 m

Answer:

The answer is -36

Explanation:

Explanation:

the rock will go in constant slow speed

Explanation:

The relative velocity is the velocity of the athlete relative to the ground plus the velocity of the javelin relative to the athlete.

v = 4.2 m/s + 10.3 m/s

v = 14.5 m/s

The relative velocity of the javelin relative to the ground be 14.5 m/s.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Given parameters:

Velocity of the athlete: u = 4.2 m/s

Velocity of the javelin related to him: v = 10.3 m/s.

The relative velocity  of the javelin relative to the ground is the velocity of the athlete relative to the ground plus the velocity of the javelin relative to the athlete.

So, The relative velocity of the javelin relative to the ground is:

V = 4.2 m/s+ 10.3 m/s

⇒ V= 14.5 m/s

Hence, the relative velocity of the javelin relative to the ground be 14.5 m/s.

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Answer:

a) KINETIC ENERGY   K = 0.045 J , b) POTENTIAL ENERGY  U = 0.196 J ,

c)  KINETIC ENERGY  K = 9.45 10⁵ J, d) POTENTIAL ENERGY ,    U = 41.16 J ,

e) POTENTIAL ENERGY  U = 154.84 J , f)  ENERGY IS POTENTIAL    U = 9.31 J

g) energy is POTENTIAL   U = 189.336 J

Explanation:

a) The ball is moving with a speed, so it has KINETIC ENERGY

          K = ½ m v²

          K = ½ 10 10⁻³ 3²

          K = 0.045 J

b) The ball is at a given height therefore it has POTENTIAL GRAVITATORY ENERGY

           U = m g y

           U = 10 10-3 9.8 2

           U = 0.196 J

c) The ball has speed so it has KINETIC ENERGY

           K = ½ m v²

           K = ½ 2,100 30²

           K = 9.45 10⁵ J

d) The baby carriage is at a height whereby the POTENTIAL ENERGY

           U = mg h

           U = 0.200 9.8 21

           U = 41.16 J

e) the concrete block is at a height that has POTENTIAL ENERGY

           U = m g h

           U = 0.790 9.8 20

           U = 154.84 J

f) the hood has height, the ENERGY IS POTENTIAL

           U = 0.190 9.8  5

           U = 9.31 J

g) The roller coaster has height and speed, therefore the mechanical energy has a scientific part and a potential part, in general the speed at the top of the mountain is very small, so we can consider that almost all the energy is POTENTIAL

The value they give allows calculating the potential energy

            U = 9.660 9.8 2

            U = 189.336 J

The answer to all the questions on potential energy and kinetic energy have been done below;

A) We are told that the ball is rolling. An object in motion has kinetic energy. Formula for kinetic energy is;

K =  ½mv²

We have; m = 10 g = 0.01 kg and v = 3 m/s

K = ½ × 0.01 × 3²

K = 0.045 J

B) We are told that the ball is held at a height. This means it is at rest and any object at rest has Potential Energy. Formula for potential energy is;

PE = mgh

We have; m = 10g = 0.01 kg and h = 2 m

PE = 0.01 × 9.8 × 2

PE = 0.196 J

C) Like in A above, the ball is in motion. Thus, it has kinetic energy.

K = ½ × 2.1 × 30²

K = 945 J

D) The baby carriage is sitting at rest and therefore has potential energy.

PE = 0.2 × 9.8 × 21

PE = 41.16 J

E) The toy car is in motion and has kinetic energy. Thus;

K = ½ × 1.12 × 4²

K = 8.96 J

F) The cinder block is sitting at rest and has potential energy. Thus;

PE = 0.79 × 9.8 × 20

PE = 154.84 J

G) The bell is at the top of the tower and is at rest and thus has potential energy.

PE = 0.19 × 9.8 × 5

PE = 9.31 J

g) The rollercoaster is at the top at rest and so has potential energy.

PE = 9.66 × 9.8 × 2

PE = 189.336 J

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Answer:

The power will increase

Explanation:

Power is the rate in which work is done or the rate of doing work

The formula for power is given as follows;

[tex]Power = \dfrac{Work \ done}{Time \ taken \ to \ do \ the \ work}[/tex]

Therefore, power is directly proportional to work, and when work is increased provided all other factors remain constant, the power will be increased proportionately.

As such, for example, when the work is doubled, and the time to do the work is the same, the power has also doubled.

Explanation:

A carpet absorbs sound making the room quieter. A wooden floor reflects sound making it louder. ... The carpet surface absorbs some of the sound, making the room less “live.”

Answer: 1,898 • 10^27 kg

Explanation:

A pex

The mass of Jupiter can be expressed in scientific notation as 1.898 ×10²⁷ Kg. Therefore, option (A) is correct.

Scientific notation can be described as a form of representing very large numbers in a simpler form. As we know, whole numbers can be extended to infinity, but we cannot write such numbers on a piece of paper.

Scientific notation helps us to represent the numbers that are very huge in a form of multiplication of single-figure numbers and 10 raised to the power of the respective exponent.

To determine the exponent of 10, we should follow the rule such as the base must be always 10. The exponent should be a non-zero integer, which means it can be either positive or negative.

The absolute value of the coefficient should be greater than or equal to 1 but it must be less than 10.

Given the number is 1,898,000,000,000,000,000,000,000,000 Kg can be written as 1.898 ×10²⁷ Kg in scientific notation.

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Answer:

The time taken is missing in the question. The time is 18 minutes.

The answer is 34.3 km/hr

Explanation:

Average velocity is the speed or the velocity which is required to cover a distance in a time interval.

The time taken is = 18 min

                            = 18/60 hours

The distance from the university to her home is = 10.3 km

Therefore, the average velocity is = displacement/time taken

                                                         = 10.3 / (18/60) km/hr

                                                         = 34.3 km/hr

Hence, the average velocity is 34.3 km/hr

Answer:

[tex]\Huge \boxed{\mathrm{13.5 \ Joules}}[/tex]

Explanation:

[tex]\sf Kinetic \ energy \ (J)=\frac{1}{2} \cdot mass \ (kg) \cdot (velocity \ (m/s)) ^2[/tex]

[tex]\mathrm{KE=\frac{1}{2} mv^2}[/tex]

The mass of the ball is 3 kg.

The velocity of the ball rolling is 3 m/s.

[tex]\mathrm{KE=\frac{1}{2} \cdot 3 \cdot 3^2}[/tex]

Evaluating and solving for kinetic energy.

[tex]\mathrm{KE=\frac{1}{2} \cdot 3 \cdot 9}[/tex]

[tex]\mathrm{KE=\frac{1}{2} \cdot 27}[/tex]

[tex]\mathrm{KE} =13.5[/tex]

The kinetic energy of the ball is 13.5 Joules.

Answer:

Kinetic energy =1/2mv^2.

1/2×3×3^2.

1/2×27=13.5 or 13 whole number 1/2.

Answer:

D

Explanation:

Answer

Its D

Explanation:

Answer:

y = m λ L / d

must use lasers of greater wavelength

Explanation:

The expression for the constructive interference of a double slit is

           d sin θ = m λ

let's use trigonometry to find the angle

          tan θ = y / L

in interference phenomena the angles are small

         tan θ= sin θ/ cos θ = sin θ

         sin θ = y / L

we subjugate

         d y / L = m λ

         y = m λ L / d

In this expression we see that the separation of the lines (and) increases linearly with the wavelength, therefore we must use lasers of greater wavelength

Answer:

[tex] \boxed{\sf Magnification \ (m) = 2} [/tex]

Given:

Object distance (u) = 25.0 cm

Image distance (v) = -50.0 cm

To Find:

Magnification (m)

Explanation:

[tex]\boxed{\bold{\sf Magnification \: (m) = - \frac{Image \: distance \: (v)}{Object \: distance \: (u)}}}[/tex]

Substituting values of Image distance(v) & Object distance (u) in the equation:

[tex] \sf \implies m = - \frac{( - 50)}{25} [/tex]

-(-50) = 50:

[tex]\sf \implies m = \frac{50}{25} [/tex]

[tex]\sf \implies m = \frac{2 \times \cancel{25}}{ \cancel{25}} [/tex]

[tex]\sf \implies m = 2[/tex]

Answer:

+2

Explanation:

m = -di/do

m = -(-50)/25 = 2

Answer:

Potential energy = 3635.8 Joules

Explanation:

Given that,

Weight lifted by a weight lifter is 12 kg

It lifts to a height of 1.75 m

We need to find the potential energy to the wights now have. The energy possessed by an object due to its position or height above ground is called potential energy. Its formula is given by :

P = mgh

g is the acceleration due to gravity

[tex]P=212\ kg\times 9.8\ m/s^2\times 1.75\ m\\\\P=3635.8\ J[/tex]

So, the potential energy is 3635.8 joules.

Answer:

 w = 2w₀     the angular velocity of man doubles

Explanation:

In this exercise, releasing the weights reduces the moment of inertia

       I= I₀ / 2

Therefore, since the platform system plus man is isolated, the kinetic moment must be conserved

         L₀ = L

       I₀ w₀ = I w

       I₀ w₀ = I₀ / 2 w

       w = 2w₀

therefore the angular velocity of man doubles

Explanation:

Momentum = mass × speed

p = (30 kg) (3 m/s)

p = 90 kg m/s

[tex] \LARGE{ \underline{ \blue{ \tt{Required \: answers}}}}[/tex]

First of all,

We have,

➝ Angle of reflection = 35°

(a) According to law of reflection,

Angle of incidence = Angle of reflection

➝ Angle of incidence = 35°

(b) By using formula,

Angle of Deviation = 180° - 2(Angle of incidence)

From (a),

➝ Angle of Deviation = 180° - 2(35°)

➝ Angle of Deviation = 180° - 70°

➝ Angle of Deviation = 110°

(c) We know,

Angle of Incidence + Glance angle of incidence = 90°

Angle of reflection + Glance angle of reflection = 90°

So,

As angle of incidence = angle of reflection

Then, Angle of glance is also equal.

➝ Angle of glance = 90° - 35° = 55°

━━━━━━━━━━━━━━━━━━━━

Answer:

gravity

Explanation:

gravity pulls you down so for example you will weigh more on earth than on the moon because earths gravitational pull is greater.

Answer:

Aim at the base of the fire and use short bursts until the fire is out.

Explanation:

Fire extinguishers use CO2 (Carbondioxide) as the extinguishing agent. This is because CO2 is denser than air, and does not support combustion.

Aiming at the base of the fire causes the CO2 to fall on the base of the fire, where the source of the fire is, trapping it, and preventing it from further reacting with air in a combustion reaction. Also, the short burst creates a strong wind that forces the flame to blow out.

Answer:

4 m/s

Explanation:

Given:

Δx = 39 m

a = 6 m/s²

t = 3 s

Find: v₀

Δx = v₀ t + ½ at²

39 m = v₀ (3 s) + ½ (6 m/s²) (3 s)²

v₀ = 4 m/s

Answer:

Phones as sunglasses with a mic. I put on my glasses and I say what's the weather today, The sunglasses will tell me the weather and can be charged just like phones

Explanation:

Answer:

2.5N

Explanation:

since force is inversely proportional to square of the distance apart. that means the ratio of distance apart. so u have 12800×12800÷(6400××6400)=4/1

so the weight will be reduced to 1/4 of 10N