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f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.

Mathematical models are representations of real situations. Models often serve the purpose of prediction and can help to explain and simplify certain mathematical problems.

The model; f(x) = 300x + 1,000 represents the number of additional square feet that can be paved in an hour after 1,000 square feet has already been paved.

From the above we can see that the correct answer is; "900 square feet; f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount."

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Answer:

A-Caclcuate the potential energy of the ball at that height

Explanation:

(a). Mass of the Body = 10 kg.

Height = 10 m.

Acceleration due to gravity = 9.8 m/s².

Using the Formula,Potential Energy = mgh

= 10 × 9.8 × 10 = 980 J.

(b). Now, By the law of the conservation of the Energy, Total amount of the energy of the system remains constant.

∴ Kinetic Energy before the body reaches the ground is equal to the Potential Energy at the height of 10 m.

∴ Kinetic Energy = 980 J.

(c). Kinetic Energy = 980 J.

Mass of the ball = 10 kg.

∵ K.E. = 1/2 × mv²

∴ 980 = 1/2 × 10 × v²

∴ v² = 980/5

⇒ v² = 196

∴ v = 14 m/s.

Explanation:

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When the planet is closest to the Sun, speed v and kinetic energy are the highest, and gravitational potential energy is the lowest. When the planet moves farther away, the speed and kinetic energy decrease, and the gravitational potential energy increases.

Answer:

It looks yellow because that is the only (major) color reflected.

Visible spectra is from about 4000-7000 Angstroms (10^-10 m).

Red are longer wavelengths and blue are the shorter wavelengths.

The Sodium doublet (yellow) occurs around 5900 Angstroms.

Answer:

Then solve for v as a function of t. This is the first equation of motion . It's written like a polynomial — a constant term (v0) followed by a first order term (at). Since the highest order is 1, it's more correct to call it a linear function.

Explanation:

Answer:

The speed of other projectile is [tex]3.1m/s[/tex]

Explanation:

Range of projectile is given by the equation

[tex]\mathrm{R}=\frac{\mathrm{u}^{2} \cdot \sin 2 \theta}{\mathrm{g}}[/tex]

Here we have same range

Hence

[tex]\frac{\mathrm{2.5}^{2} \cdot \sin (2 \times 65)}{\mathrm{g}}=\frac{\mathrm{u}^{2} \cdot \sin (2 \times 15)}{\mathrm{g}}\\\\u^2=\frac{2.5^2\sin130}{\sin30} \\\\u=3.10m/s[/tex]

Here

initial velocity=u

Now

[tex]\\ \sf\longmapsto R_1=R_2[/tex]

[tex]\\ \sf\longmapsto \dfrac{u_1^2sin2\theta_1}{g}=\dfrac{u_2^2sin2\theta_2}{g}[/tex]

[tex]\\ \sf\longmapsto \dfrac{(2.5)^2.sin2(65)}{g}=\dfrac{u_2^2sin2(15)}{g}[/tex]

[tex]\\ \sf\longmapsto 6.25sin130=u_2^2sin30[/tex]

[tex]\\ \sf\longmapsto 6.25(0.76)=u_2^2(0.5)[/tex]

[tex]\\ \sf\longmapsto 5.13=0.5u_2^2[/tex]

[tex]\\ \sf\longmapsto u_2^2\approx 10[/tex]

[tex]\\ \sf\longmapsto u_2\approx 3.1m/s[/tex]

Option B is correct

From the information in the question, the acceleration of the cart is 2.55 ms-2.

We can find the acceleration using the following information from the question;

u = 0.9 m/s

v = 6 m/s

a =  2.0 seconds

But;

a = v - u/t

v = final velocity

u = initial velocity

t = time

a = 6 - 0.9/2 = 2.55 ms-2

Force= ma

m = mass

a = acceleration

F = 6 kg × 2.55 ms-2

F = 15.3 N

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Vertical component = 40 m/s x sin(60) = 34.6 m/s

Answer: b. 34.6 m/s

Answer:

1. electrochemical reaction

2. combustion

3. photosynthesis

4. respiration

Explanation:

From Newton's second law of motion, the average force on the ball by the racket is 98 Newtons. The correct answer is option C

Given that a 0.07 kg tennis ball, initially at rest, leaves a racket with a speed of 56 m/s. And the time for contact with the racket is 0.04 s, that is,

mass m = 0.07 kg

velocity v = 56 m/s

time t = 0.04 s

force f = ?

To calculate the average force on the ball by the racket, let us apply Newton's second law of motion.

Impulse = change in momentum

ft = mv

Substitute all the parameters into the equation above

0.04f = 0.07 x 56

make f the subject of the formula

f = 3.92 / 0.04

f = 98 N

Therefore, the average force on the ball by the racket is 98 Newtons. The correct answer is option C

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The average force on the ball by the racket is 98 N. The correct option is the third option - 98 N

From the question, we are to determine the average force on the ball by the racket.

From the formula,

[tex]F = \frac{mv}{t}[/tex]

Where F is the force

m is the mass

v is the velocity

and t is the time

From the given information

m = 0.07 kg

v = 56 m/s

t = 0.04 s

Putting the parameters into the formula,

we get

[tex]F = \frac{0.07 \times 56}{0.04}[/tex]

[tex]F = \frac{3.92}{0.04}[/tex]

F = 98 N

Hence, the average force on the ball by the racket is 98 N. The correct option is the third option - 98 N

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We can ensure that the solar panels generate a current that Mark can use for his power station is by gradually increasing the brightness (amount) of light that we reflect on it.

Solar panel are photo-voltaic module or cells which means they uses sunlight as a source of energy to generate current.

when the sun rays hit a silicon crystal of the solar panel then the electron inside of the solar panel start to charge and travel rapidly. when such charged electron flow through the circuit then the solar panel generate electricity.

    So, to optimize the electricity generation, the energy of light is to be maximized which is determined by the frequency of the source.

Hence,  To ensure that the solar panels generate a current that Mark can use for his power station we need to gradually increase the brightness (amount) of light that we reflect on it.

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Answer:

Atomic mass

Explanation:

Answer:

atomic mass

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Answer:

So as two objects are separated from each other, the force of gravitational attraction between them also decreases. If the separation distance between two objects is doubled (increased by a factor of 2), then the force of gravitational attraction is decreased by a factor of 4 (2 raised to the second power).

Explanation:

hope his helps

Answer:

4.80 mol N2O5/min

Explanation:

The balanced equation tells us that 2 moles of N2O5 are required for every 1 mole of O2.  Therefore:

(2.40 mol O2/min)*(2 mol N2O5/mol O2) = 4.80 mol N2O5/min

Answer:

An object in motion will stay in motion at the same speed and in the same direction (ie with constant velocity) unless a force makes it change.

Explanation:

Answer:

A. True

Explanation:

edge 2022

The blue, hotter stars tend to have shorter lifetimes than the , cooler stars; this is a true fact as the lifespan of a star is determined by its mass. Blue, hotter stars have higher masses than red, cooler stars.

The lifespan of a star is largely determined by its mass because a star's mass affects its internal pressure, temperature, and nuclear fusion rate, and more massive stars have stronger gravitational forces, which lead to higher pressures and temperatures in their cores. The rate of nuclear fusion reactions in a star determines how quickly it consumes its fuel, which in turn affects the lifespan of the star. Blue, hotter stars have a higher rate of nuclear fusion reactions and consume their fuel much more quickly than red, cooler stars.

Hence, the blue, hotter stars tend to have shorter lifetimes than the redder, cooler stars.

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Answer:

a = v^2 / R      centripetal acceleration

R = v^2 / a     a at the surface of earth is 9.8 m/s^2

R = (90 m/s)^2 / 9.8 m/s^2 = 827 m

Explanation:

Ummm i think a timer or clock?

Answer: Timer or a clock

Explanation:

As car is avoid skidding

[tex]\\ \sf\hookrightarrow \dfrac{mv^2}{r}=\mu mg[/tex]

[tex]\\ \sf\hookrightarrow \dfrac{v^2}{r}=\mu g[/tex]

[tex]\\ \sf\hookrightarrow v^2=\mu rg[/tex]

[tex]\\ \sf\hookrightarrow v^2=0.6(10)(150)[/tex]

[tex]\\ \sf\hookrightarrow v^2=60(150)[/tex]

[tex]\\ \sf\hookrightarrow v^2=900[/tex]

[tex]\\ \sf\hookrightarrow v=30ms^{-1}[/tex]

Done

The minimum velocity of the with which the car driver must traverse the flat curve to avoid skidding is 29.7 m/s.

The given parameters:

The minimum velocity of the with which the car driver must traverse the flat curve to avoid skidding is calculated as follows;

[tex]\frac{mv^2}{r} = \mu mg\\\\v^2 = \frac{\mu mgr}{m} \\\\v^2 = \mu gr\\\\v = \sqrt{\mu gr} \\\\v = \sqrt{0.6 \times 9.8 \times 150} \\\\v = 29.7 \ m/s[/tex]

Thus, the minimum velocity of the with which the car driver must traverse the flat curve to avoid skidding is 29.7 m/s.

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Answer:

Explanation:

Height(h) = 4m; depth of the half filled tank 4m/2 =2m

Acceleration due to Gravity (g)=9.8m/s^2

Density (d)=1000kg/m^3

Pressure = hdg

Pressure = 2m × 9.8m/s^2 × 1,000kg/m^3

Pressure = 19,600Pa

Answer:

In a series circuit, every device must function for the whole circuit to be complete. One bulb burning out in a series circuit breaks the circuit. Even if you take a bulb out,  the entire circuit will still stop operating. There is no closed-loop path for the current to flow through the circuit. For the whole series circuit to be complete, and on, every bulb must be working.

Explanation:

Answer:

People depend upon plants to satisfy such basic human needs as food, clothing, shelter, and health care. These needs are growing rapidly because of a growing world population, increasing incomes, and urbanization . Plants provide food directly, of course, and also feed livestock that is then consumed itself.

From summation and resultant of forces, the four answers are:

i.  ∅ = 34 degrees

ii. M = 0.48 kg

iii. V = 37.5 m/s

iv. V = 37.5i + 0j + 0k

Given that Three forces acting on an object are

F1 = (−2.00 i + 2.00 j) N

F2 = (5.00 i − 3.00 j) N

F3 = (−45.0 i) N.

If the object experiences an acceleration of magnitude 3.75 m/s2.

i. The direction of the force will be the direction of the acceleration.

Sum of the forces = (-2 + 5 - 4.5)i + (2 - 3 + 0)j

Sum of the forces = -1.5i -j

The acceleration direction will be

tan∅ = [tex]\frac{y}{x}[/tex]

tan∅ = [tex]\frac{1}{1.5}[/tex]

∅ = [tex]tan^{-1}[/tex] (0.67)

∅ = 34 degrees (approximately)

ii. The mass of the object can be calculated from Newton's law.

Resultant force = mass x acceleration.

Resultant force = [tex]\sqrt{1.5^{2} + 1^{2} }[/tex]

Resultant force = [tex]\sqrt{3.25}[/tex]

Resultant force = 1.8N

Then,

1.8 = 3.75M

M = 1.8 / 3.75

M = 0.48 kg

iii. If the object is initially at rest, the speed of the object after 10.0 will be calculated by using first equation of motion.

V = U + at

Where U = 0

V = 0 + 3.75 x 10

V = 37.5 m/s

Therefore, the speed of the object after 10.0 is 37.5 m/s

iv. The velocity components of the object after 10.0 are

V = 37.5i + 0j + 0k

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Answer:

There are many forces involved in the game of football. These are: Force of Gravity, Normal Force, Force of Friction, and Applied Force. Force of Gravity applies to football when the football is thrown or kicked, when a player jumps in the air to avoid a tackle or catch a ball, and is constantly being applied.

Explanation:

How physics is used in football?

When you throw a football across the yard to your friend, you are using physics. You make adjustments for all the factors, such as distance, wind and the weight of the ball. The farther away your friend is, the harder you have to throw the ball, or the steeper the angle of your throw.

Answer:

I’d say both anabolic and catabolic chemical reactions make life on Earth possible. Anabolic is the building up of molecules from atoms or small molecules and catabolic is the chemical reactions of breaking them down.

Explanation:

The resultant velocity of  the boat is equal to 2 m/s due south.

Given the following data:

To determine the resultant velocity of  the boat:

Resultant velocity can be defined as the sum (addition) of each of the vector velocity acting on a physical or an object. Thus, it is simply a combination of two or more single vector velocity.

Note: When the velocities are acting in the same direction, you will add them up while you will subtract when the velocities are acting in opposite directions.

In this scenario, the velocities are acting in opposite directions. Thus, we would subtract as follows:

[tex]V = 3 - 1[/tex]

V = 2 m/s due south.

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