What derived unit is used to measure the slope of the line in this graph?
A. g/cm^3
B. g
C. g/cm
D. cm^3

Answer:

6.25 g/cm³

Explanation:

2 cm * 2 cm * 3 cm = 12 cm³ (volume)

75 g / 12 cm³ = 6.25 g/cm³

Explanation:

(a) Impulse is force times time.

J = FΔt

J = (350 N) (0.12 s)

J = 42 Ns

(b) Change in momentum is equal to impulse.

J = Δp

Δp = 42 Ns

Answer:

A.4200Ns

Explanation:

Impulse=Force*Time

I=F*t

350N*0.12s

=42Ns

Answer:

b = - a - c + p

Explanation:

P= a+b+c : move the b over to the other side.

-b + p = a + c : move p over the other side.

-b = a + c - p : now just convert the a + c - p into,

b = -a - c + p

The required solution is b = -a - c + p for arithmetic equation p = a+b+c.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that equation as

⇒ p = a+b+c

Rearrange the term b to the other side and solve for b

⇒ -b + p = a + c

Rearrange the term p to the other side

⇒ -b = a + c - p

Multiply by (-1) the equation, and we get

⇒ b = -a - c + p

Therefore, the required solution is b = -a - c + p.

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Answer: 4x²-y²

Explanation:

FORMULA

a²-b²=(a+b)(a-b)

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

(a+b)(a-b)=a²-b²

(2x+y)(2x-y)=(2x)²-(y)²

                  =4x²-y²

Hope this helps!! :)

Please let me know if you have any question

Answer:

The  value is  [tex]t = 9.861 *10^{-8} \ m[/tex]

Explanation:

From the question we are told that

   The  refractive index of glass is [tex]n_{glass} = 1.5[/tex]

     The wavelength is  [tex]\lambda = 710 nm = \frac{710}{1 * 10^9} = 710*10^{-9} \ m[/tex]

      The  refractive index of  oil is  [tex]n_{oil} = 1.8[/tex]

Generally the condition for refractive index is  mathematically represented as

     [tex]2 * t = [m + \frac{1}{2} ] \frac{\lambda}{n_{oil}}[/tex]

Where  t is the separation between two parallel plates of glass , now at minimum  m which is the  order of maxima produced is   =  0

So

     [tex]2 * t = [0 + \frac{1}{2} ] \frac{710 *10^{-9}}{1.8}[/tex]

    [tex]t = 9.861 *10^{-8} \ m[/tex]

Answer:

1.2 m/s

0.31 m

0.15 m

Amplitude is 0.31 m

The waves are traveling at 1.2 m/s

The amplitude would be 0.15 m. The speed would remain the same.

(i think) (but try it)

Answer:

20.96 m/s

Explanation:

Apply the kinematic equation:

Vf=Vi+at

Vi=8m/s

a=1.8m/s^2

t=7.2s

Putting this all in should give you your answer of 12.96m/s

Answer:

 v₀ = 11.72 m / s

Explanation:

This is a missile launch exercise. Let's write the relations for the final position

        x = v₀ₓ t

        y = [tex]v_{oy}[/tex] t - ½ g t²

Let's use trigonometry to find the initial velocities

      sin 45 = v_{oy} / v₀

      cos 45 = v₀ₓ / v₀

      v_{oy} = v₀ sin 45

     v₀ˣ = v₀ cos45

we substitute

      x = v₀ cos 45 t

      y = v₀ sin 45 t - ½ g t²

     in this equation system we have two unknowns and two equations for which it can be solved, let's substitute the values

     7 = v₀ 0.707 t

     3.5 = v₀ 0.707 t - ½ 9.8 t²

we clear the time in the first equation and substitute in the second

     3.5 = v₀ 0.707 (7 / v₀ 0.707) - 4.9 (7 / v₀ 0.707) 2

     3.5 = 7 - 480.345 / v₀²

      480.345 / v₀² = 7-3.5

      v₀² = 480.345 / 3.5

      v₀ = √ 137.24

      v₀ = 11.72 m / s

Answer:

science is the intellectual pratical activity encompassing the scientific study of structure of the physical and natural world through observations while trickery is the practice if decep5

Answer:

The space when they meet each other is from town A = 46.67km

s= ut

Let's consider x as the distance from town A to the meeting point:

Time duration,

Mega taken = Anton taken

x/ 30 = (140 - x)/ 60

2x = 140- x

3x = 140

x = 46.67km

Answer:

[tex] \fbox{ \text{See \: below}}[/tex]

Explanation:

[tex] \star[/tex] The unit of pressure i.e Pascal is derived from fundamental units : kilogram , metre and second. So , it is called a derived unit.

[tex] \text{Hope \: I \: helped ! }[/tex]

[tex] \text{Best \: regards !!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

1A) 3kg * m/s

2D) 100

3, Guess: A smaller change of momentum

4, Guess: A, 1.80

5B) 20

Explanation:

(1)  The total momentum of the balls after collision is 3 kg.m/s

(2) The momentum of the object is 100 kg.m/s

(3) The change in the car's momentum is equal to change in the rock's momentum in opposite direction.

(4) The total momentum of the objects is 0 kg.m/s

(5) The mass of the object is 20 kg.

(1) From the principle of conservation of linear momentum, total initial momentum before collision is equal to the momentum after collision.

initial momentum = final momentum

Thus, the total momentum of the balls after collision is 3 kg.m/s

(2) Linear momentum is defined as the product of mass and linear velocity of an object.

momentum of the object is calculated as;

P = mv

P = 5 x 20

P = 100 kg.m/s

(3) Apply the principle of conservation of linear momentum;

[tex]m_1u_1 + m_2u_2 = m_1v_1 + m_2 v_2[/tex]

In order to ensure that momentum is conserved;

Let u₁ represents the initial velocity of the small rock and u₂ is the initial velocity of the moving car. In this case, the momentum of the car is bigger.

To conserve the momentum, the final velocity of the rock v₁ must be greater than the final velocity of the car. When this happens, the rock will experience a large change in velocity.

From the equation above will have;

[tex]m_1u_1 + m_2u_2 = m_1v_1 + m_2 v_2\\\\m_1u_1 - m_1v_1 = m_2v_2 - m_2u_2\\\\\Delta P_{rock} = \Delta P_{car}[/tex]

Thus, the change in the car's momentum is equal to change in the rock's momentum in opposite direction.

(4) In a closed system the momentum will be conserved;

Initial momentum = final momentum

Total momentum = final momentum  + Initial momentum

The total momentum = 1 x 1.8  +  1 x (-1.8)

Note: the negative sign is because one is moving in opposite direction

The total momentum = 1.8 kg.m/s  - 1.8 kg.m/s = 0 kg.m/s

(5) The mass of the object is calculated as;

[tex]m = \frac{P}{v} \\\\m = \frac{100}{5} \\\\m = 20 \ kg[/tex]

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Answer:

problems: incomplete written, can be seen by everyone and private facts

Benefits: enlist the help of the other, works can be divided among all the members, see the progress of each one

Explanation:

First paragraph on the problems.

When it is written in the computer system, the information can be incomplete written without sufficient analysis, it can also be used out of context and, most importantly, the written things can be seen by everyone and private facts of each authorized person can be found out.

Second paragraph. Benefits.

When you write in an automated system, enlist the help of the other members of the group to improve the ideas. They can place an idea without debugging and improve them together. The works can be divided among all the members and see the progress of each one and collaborate with the problems that it presents.

Third paragraph.

Well managed systems can make work progress much faster, by collaboration between all members of the group. Which improves the performance of the company and reduces the response time to problems that arise.

Answer: Blake may have a decreased chance of disease.

Explanation:

Research has shown that on average, a person who engages in more physical activity will live longer than a person who does not with one reason for this being that engaging in physical activity helps reduce the risk of diseases such as; heart disease, diabetes, and many forms of cancer.

Obesity (risk factor) and high blood pressure are also reduced by engaging in physical activity.

Answer:

The pressure at a depth 01 25 m is 2.5 x 10^5 Pa. This is almost 2.5 times greater than atmospheric pressure. But he air pressure in the hose will be only slightly higher than atmospheric pressure, because the density of air is so low. So Tom will have great difficulty breathing in the low-pressure air when the large pressure of the water is pressing in on his chest.

Explanation:

The depth is h = 25 m

The density of water p = 1000 kg/m^3

Acceleration due to gravity g = 9.81 m/s^3.

Pressure due to a depth is gotten from

P = pgh

P = 1000 x 9.81 x 25 =245250 Pa

==> 2.45 x 10^5 Pa

Approximately 2.5 x 10^5 Pa

Atmospheric pressure = 1.01325 x 10^5 Pa

Dividing the pressure at the bottom of the pond by the atmospheric pressure gives a value of about 2.5,which means that the pressure is 2.5 times the atmospheric pressure.

Answer:

Displacement, d = 10 km

Explanation:

It is given that,

Distance covered by the bus in east direction is 6 km and the distance covered by the bus in south direction is 8 km.

We need to find the resultant displacement. Displacement is the shortest path covered by an object. It can be given by :

[tex]d=\sqrt{6^2+8^2} \\\\d=\sqrt{36+64}\\ \\d=10\ km[/tex]

So, the displacement of the bus is 10 km.

Answer:

1.08 hours

Explanation:

Distance = speed × time

Time = distance / speed

The time you spend driving is:

t = 50.0 km / (90.0 km/hr)

t = 0.555 hr

The time your friend spends driving is:

t = 50.0 km / (95.0 km/hr)

t = 0.526 hr

The total time is 0.555 hr + 0.526 hr = 1.08 hr.

Answer:

[tex]\Huge \boxed{\mathrm{citric \ acid}}[/tex]

Explanation:

Citric acid is naturally found in foods and can be safe to eat.

Citric acid is present in oranges, lemons, and other types of citrus fruits that we can eat.

The acid that is naturally found in foods and can be safe to eat would be citric acid, therefore the correct answer is option B .

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

For example, H₂O is a chemical compound made up of two oxygen atoms and a single hydrogen atom.

As given in the problem statement we have to find out the acid from the given list of options that are naturally found in foods and can be safe to eat.

The sulphuric acid found in batteries, therefore, is not safe to eat, while the citric acid found in different fruits can be safe to eat.

The correct response is option B since citric acid is a naturally occurring acid that may be consumed without harm.

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Answer:

18 inches of cube

Explanation:

Answer:

D = 14.31 m

Explanation:

It is given that,

Displacement due east is 12 m

Displacement due north is 5 m

Displacement in vertically upward direction is 6 m

We need to find the magnitude of the sum of these displacements. We know that, vertically upward, east and north are mutually perpendicular direction. So, the resultant is given by :

[tex]R=\sqrt{12^2+5^2+6^2} \\\\R=\sqrt{144+25+36} \\\\R=14.31\ m[/tex]

So, the magnitude of the sum of these displacements is 14.31 m.

Answer:

[tex]\huge \boxed{6.948 \%}}[/tex]

Explanation:

Volume of solute (Alcohol) ⇒ 5.6 ml

Volume or solvent (Water) ⇒ 75 ml

Total volume of solution ⇒ 5.6 ml + 75 ml ⇒ 80.6 ml

[tex]\displaystyle \sf Concentration \ of \ solution \ (\%)= \frac{Volume \ of \ solute}{Volume \ of \ solution} \times 100[/tex]

[tex]\displaystyle \sf Concentration \ of \ solution \ (\%)= \frac{5.6}{80.6} \times 100=\frac{5600}{806} = 6.947891[/tex]

Answer:

6 seconds is the best answer

It will take 6 seconds to the football in the air.

Velocity is the rate that the position of an item changes relative to time. When forces are applied to an item, it accelerates. This acceleration affects the velocity.

The object's initial velocity, vi, is its speed before acceleration changes it. The new velocity, which has increased for a while, is the final velocity, or vf.

Initial Velocity, denoted as u, is the velocity at time period t = 0. It is the speed at which motion first occurs. There are four equations for starting velocity: The starting velocity is expressed as u = v - at if time, acceleration, and final velocity are given.

Therefore, It will take 6 seconds to the football in the air.

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Answer:

lamda=10.5m

Explanation:

using the equation of progressive wave.

y=Asin(wt-kx)

comparing the two equations together, we have

kx=0.6x , k=0.6

k=2π/λ

0.6=2*3.142/λ

cross multiply

0.6λ=6.284

divide both sides by 0.6

λ=6.284/0.6

λ=10.47m

approximate

λ=10.5m

Answer:

inference

Explanation:

took the test hope I helped :p

Answer:

0.44 m/s^2

Explanation:

initial velocity = 0  (since the child starts from rest)

distance covered by the child = 2 m (the length of the slide)

time taken = 3 sec

acceleration of the child = ?

using Newton's equation of motion

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

where s is the distance covered by the child

u is the initial velocity

a is the acceleration

t is the time spent

substituting values, we have

2 = 0(3) + [tex]\frac{1}{2}a*3^{2}[/tex]

2 = 9a/2

4  = 9a

a = 4/9 = 0.44 m/s^2

Explanation:

g = GM / R²

9.77 m/s² = GM / (6.38×10⁶ m + 8848 m)²

GM = 3.99×10¹⁴ m³/s²

At the surface of the earth:

g = GM / R²

g = (3.99×10¹⁴ m³/s²) / (6.38×10⁶ m)²

g = 9.80 m/s²

At the top of Mount Everest, the weight of a 50 kg object is:

F = mg

F = (50 kg) (9.77 m/s²)

F = 489 N

Gravity causes items to accelerate as they descend to the ground. Acceleration is a modification of velocity, and velocity is a measurement of the direction and speed of motion. Anything falls through gravity, and the longer it falls, the quicker it falls.

A particular term is given to the acceleration of a free-falling item because it is such a significant value. The acceleration of any object moving only as a result of gravity is referred to as the “acceleration of gravity.”

g = GM / R²

9.77 m/s² = GM / (6.38×10⁶ m + 8848 m)²

GM = 3.99×10¹⁴ m³/s²

At the surface of the earth:

g = GM / R²

g = (3.99×10¹⁴ m³/s²) / (6.38×10⁶ m)²

g = 9.80 m/s²

At the top of Mount Everest, the weight of a 50 kg object is:

F = mg

F = (50 kg) (9.77 m/s²)

F = 489 N

Therefore, 489 N is the weight of a body of mass 50 kg on the top of mt.everest.

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Answer: Mars and Jupiter

Explanation:

Answer:

T = 40.08 °C

Explanation:

Given:

m₁ = 0.33 kg, mass of iron horseshoe

T₁ = 693°C, initial temperature of horseshoe

c₁ = 448 J/(g-°C), specific heat

m₂ = 24 kg, mass of water

T₂ = 39°C, initial temperature of water

c₂ = 4186 J/(g-°C), specific heat of water

let T be the equilibrium temperature.

For energy balance,

m₁c₁(T₁ - T) = m₂c₂(T - T₂)

(0.330) * (448) * (693 - T) = (24) * (4186) * (T - 39)

147.84 * (693 - T) = 100,464 * (T - 39)

102,453.12 - 147.84T = 100,464T - 3,918,096

102,453.12 + 3,918,096 = 100,464T - 147.84T

4020549.12 = 100316.16T

T = 40.08 °C

Answer:

p=1

Explanation:

Well me know that v=m/s

and that a=m/s^2

so

[tex](m/s)^{2} = (m/s^2)(x^p)\\\\(m^2/s^2)/(m/s^2)=x^p\\\\m^2s^2/ms^2=x^p\\\\(m^2/m)(s^2/s^2)=x^p\\\\m=x^p\\\\p=1[/tex]

Note: We don't take into account 2 because it's a scalar, it doesn't have units so it doesn't add anything to the equation.