A helicopter, initially hovering 40 feet above the ground, begins to gain altitude at a rate of 21 feet per second. Which of the following functions represents the helicopter’s altitude above the ground y, in feet, t seconds after the helicopter begins to gain altitude?

Answer:

composite track

Explanation:

To travel an incredible circular track, the guide must constantly change course because the extraordinary circular track is a turn when plotted on a Mercator map. It is ridiculous to try to navigate an incredible circular route. All things considered, to make the best use of the shorter cruise separation from the extraordinary circular runway, pilots generally divide an incredible hover runway between the underlying position and the target into many much smaller sections ( for trajectory purposes) of approximately one to several days of cruising time (based clearly on the specialty and conditions) and making course changes every day simultaneously, generally in the early afternoon. Absolute separation is thus the set of separations of these fragments determined by the methods of Mercator Sailing. A potential problem with the incredible circular track, however, is the most limited route between two areas, similarly for most tracks closer to the well (or at a higher range) than the two points, starting point or goal. The high areas are often in danger due to the terrible climate and icing. A protected thought of a veteran sailor is to set a range limit for the long voyage plan. This arrangement is called an extraordinary composite circle course arrangement, terminated with way points. This minicomputer soothes the monotonous procedure for deciding these way points for travel.

Answer:

The answer is composite track.

Explanation:

For ships to cover the shortest distance between two points on the surface of the earth, navigators base their calculations using great circles. A great circle is circular line drawn on a globe that follows the circumference of the earth ( thereby dividing the globe into equal halves ).  As the ship moves from one point to the other, the navigator adjusts its course because the earth is on a constant rotation. Great circles, because they usually cover distances of about 40,000km are broken down into smaller lines called Rhumb so as to provide a steady course. The one common great circle is the equator and the ship's heading does not change on this line.

Answer:

The correct answer is option A.

Explanation:

The average kinetic energy of the gas particle only depends upon the temperature of the gas.

The formula for average kinetic energy is:

[tex]K.E=\frac{3}{2}kT[/tex]

where,

k = Boltzmann’s constant = [tex]1.38\times 10^{-23}J/K[/tex]

T = temperature

So, at standard temperature and pressure 0.50 moles of hydrogen and 1.0 mole of oxygen sample will have same value of average kinetic energy.

Where as in other option enlisted in question , molar masses of both gases will be involved which will give different answers for both the gases.

This question involves the concepts of the average kinetic energy of the molecules of a gas and temperature.

The gases will have the same "A. average molecular kinetic energy".

The average kinetic energy of gas molecules is given by the following formula:

[tex]K.E = \frac{3}{2}KT[/tex]

where,

K.E = average kinetic energy

K = Boltzmann constant

T = absolute temperature

Hence, the average kinetic energy depends upon the absolute temperature only. Since the temperature is the same for both gases. Hence, their average kinetic energy will also be the same.

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Answer:

Bio psychology

Explanation:

Since, Dr. Wolski does research on the potential relationship between neurotransmitter deficiencies and mood states. His psychological specialty must be biological psychology.

Biological psychology, or bio psychology, is a discipline in which scientific investigation and clinical practice investigates the relation between brain and body. In this area scholars evaluate the biological basis of feelings, impulses and behaviors.

Answer:

Explanation:

a)Magnitude = [tex]\sqrt{(x1-y2)^{2} + (x1-x2)^{2} }[/tex]

84=[tex]\sqrt{(0- (-67))^{2} + (x-0)^{2} }[/tex]

x= +50.67 or -50.67 units

b) We are given that the resultant is entirely in the -ve x direction which means that the y-component of the resultant is 0; It means that the y-component of the next vector = -ve of the y component of the initial vector i.e 67.

To make the magnitude 80 units in the negative x direction where the y component is 0, the x component must be -130.67(-50.67 - 80) as the x component is + 50.67units.

Magnitude = [tex]\sqrt{(0- (67))^{2} + (-130.67)^{2} }[/tex] = 146.85 units

c) The direction vector = 67/146.85 i  - 130.67/146.85 j where i corresponds to the vector in y direction and j corresponds to the vector in x direction. Or this vector is at an angle of 180 - [tex]Tan^{-1}(67/130.67)degrees[/tex] i.e 152.85 degrees from the +ve x-axis.

A) The two possibilities for the x-component are; +50.67 units or -50.67 units

B) The magnitude of the vector added to the original one is; 146.85 units

C) The direction of the vector is; θ = 207.15°

A) We are given;

Magnitude of vector = 84 units

Y-component of the vector = -67 units

We know that the formula for for 2 vectors like this in x and y direction is;

A = xi^ + yj^

Where A is the magnitude of the resultant

x is the value of the x-component

y is the value of the y-component

Thus;

A = √(x² + y²)

84 = √(x² + (-67)²)

84² = x² + 4489

7056 = x² + 4489

x = ±√(7056 - 4489)

x = ±50.67 units

B) From A above, let us take the positive value of the x-component and as such our original vector will be;

A = 50.67i^ - 67j^

We want to add another vector to this that would make the resultant to be -80 units in the x direction. Thus, A = -80i and if the new additional vector is V^, then we have;

-80i^ = (50.67i^ - 67j^) + V^

V^ = -(80 + 50.67)i^ + 67j^

V = -130.67i^ + 67j^

The magnitude of vector V is;

V = √(x² + y²)

V = √(-130.67)² + 67²)

V = 146.85 units

C) The direction of the vector V is;

θ = tan^(-1) (y/x)

θ = tan^(-1) (67/-130.67)

θ = -27.15°

Since it points entirely in the negative x axis, then the angle is;

180 - (-27.15) = 207.15°

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Answer:

V = 2.94cm³

The initial volume at 20°C is 2.94cm³

Explanation:

As the temperature of the iron sphere increases the volume of the sphere also increase.

Using the equation for volumetric expansion:

∆V = VαΔT

where ;

V is the initial volume

α is the volumetric expansion coefficient

∆V is the change in Volume

∆T is the change in temperature

After Expansion the final volume can be written as:

Vf = V + ∆V

Vf = V + VαΔT

Vf = V(1 + αΔT)

making V the subject of formula;

V = Vf/(1+αΔT) .....1

Given:

Vf = 3.00cm³

ΔT= 600-20 = 580

And from the test book.

α = 35.5 × 10⁻⁶K⁻¹

Substituting the values into eqn 1

V = 3.00/(1+580× 35.5×10^-6)

V = 3.00/(1+0.021) = 3.00/1.021

V = 2.94cm³

The initial volume at 20°C is 2.94cm³

Answer: 1cm3

Explanation:

V1 =?

V2 = 3cm3

T1 = 20°C = 20 + 273 = 293K

T2 = 600°C = 600 + 273 = 873K

V1 /T1 = V2 /T2

V1 / 293 = 3 / 873

V1 = 293 x ( 3 / 873)

V1 = 1 cm3

Answer: The specific heat of the unknown solid is [tex]4.00J/g^0C[/tex]

Explanation:

As we know that,  

[tex]q=m\times c\times \Delta T=m\times c\times (T_{final}-T_{initial})[/tex]    (1)

where,

q = heat absorbed  = 32.0 kJ = [tex]32.0\times 10^3J[/tex] J      (1kg=1000g)

[tex]m[/tex] = mass of unknown solid= 2.00 kg  = [tex]2.00\times 10^3g[/tex] (1kg=1000g)

[tex]T_{final}[/tex] = final temperature

[tex]T_{initial}[/tex] = initial temperature

[tex]\Delta T[/tex] =[tex]4.00^0C[/tex]

[tex]c[/tex] = specific heat of unknown solid = ?

Now put all the given values in equation (1), we get

[tex]32.0\times 10^3J=2.00\times 10^3g\times c\times (4.00^0C)][/tex]

[tex]c=4.00J/g^0C[/tex]

Therefore, the specific heat of the unknown solid is [tex]4.00J/g^0C[/tex]

The scientific heat of the unknown solid will be "4.00 J/g°C".

Given values are:

Heat absorbed, q = 32.0 kJ or, [tex]32.0\times 10^3[/tex] J

Mass, m = 2.00 kg or, [tex]2.00\times 10^3[/tex] g

Rise in temperature, ΔT = 4.00°C

We know the relation,

→ q = m×c×ΔT

or,

→    = m×c×([tex]T_{final} - T_{initial}[/tex])

By substituting the values,

[tex]32.0\times 10^3=2.00\times 10^3\times c\times 4.00[/tex]

             [tex]c = 4.00[/tex] J/g°C    

Thus the above answer is appropriate.

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Answer:

The pendulum should be made longer by 0.194m in order to increase its period by 0.32s

Explanation:

using the formula T= 2π[tex]\sqrt{\frac{L}{g} }[/tex]

rearranging the equation and making L subject of formula we have;

L=T²g/4π²

lets calculate the length when T=1.06s

g=9.8m/s² , π=3.124

[tex]L=\frac{1.06^{2}*9.8 }{4*3.142^{2} }[/tex]

L=0.279m

the new period after its increased by  0.32s = 1.06+0.32 =1.38s

[tex]L_{2}=\frac{1.38^{2}*9.8 }{4 *3.142^{2} }[/tex]

[tex]L_{2}=0.473m[/tex]

increase in length = 0.473 -0.279

               =0.194m

The pendulum should be "0.194 m" longer.

According to the question,

Time,

We know,

By using the formula,

→ [tex]T = 2 \pi \sqrt{\frac{L}{g} }[/tex]

or,

→ [tex]L = \frac{T^2g}{4 \pi^2}[/tex]

By substituting the values, we get

→     [tex]= \frac{1.06^2\times 9.8}{4\times 3.142^2}[/tex]

→     [tex]= 0.279 \ m[/tex]

Now,

The new period after it increased by 0.32 s, we get

= [tex]1.06+0.32[/tex]

= [tex]1.38 \ s[/tex]

then,

→ [tex]L_2 = \frac{1.38^2\times 9.8}{4\times 3.142^2}[/tex]

        [tex]= 0.473 \ m[/tex]

hence,

The increase in length will be:

= [tex]L_2-L[/tex]

= [tex]0.473-0.279[/tex]

= [tex]0.194 \ m[/tex]

Thus the answer above is right.

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Answer:

Explanation:

Given

Two baseballs are fired into a pile of hay such that one has twice the speed of the other.

suppose u is the velocity of first baseball

so velocity of second ball is 2u

suppose [tex]d_1[/tex] and [tex]d_2[/tex] are the penetration by first and second ball

using [tex]v^2-u^2=2 ad[/tex]

where v=final velocity

u=initial velocity

a=acceleration

d=displacement

here v=0 because ball finally stops

[tex]0-u^2=2ad_1----1[/tex]

for second ball

[tex]0-(2u)^2=2ad_2----2[/tex]

divide 1 and 2 we get

[tex]\frac{u^2}{4u^2}=\frac{d_1}{d_2}[/tex]

as deceleration provided by pile will be same

[tex]\frac{1}{4}=\frac{d_1}{d_2}[/tex]

[tex]d_2=4d_1[/tex]

thus faster ball penetrates 4 times of first ball

Final answer:

The faster baseball will penetrate farther into the pile of hay due to the greater change in kinetic energy caused by its higher speed.

Explanation:

In this scenario, we can analyze the problem using the concept of work and energy. When the slower baseball and the faster baseball are both fired into the pile of hay, the work done by air resistance on each baseball will be different. The work done by air resistance is equal to the change in kinetic energy of the baseball. Since the faster baseball has twice the speed of the slower baseball, it will experience a greater change in kinetic energy and therefore penetrate farther into the pile of hay.

Answer:

Explanation:

A continuous spectrum shows all colors of the rainbow with no gaps, produced by a solid or very dense gas emitting radiation. In contrast, a line spectrum consists of only certain discrete wavelengths - either as an absorption spectrum with dark lines representing absorbed wavelengths, or as an emission spectrum showing bright lines for emitted wavelengths from excited gas atoms.

The difference between a continuous spectrum and a line spectrum mainly lies in the type of light they represent. A continuous spectrum is formed when a solid or a very dense gas gives off radiation, showing an array of all wavelengths or colors of the rainbow. This can be seen when white light is passed through a prism as represented in Figure 5.10. It's like viewing a rainbow where all the colours blend into each other without any gaps.

On the other hand, a line spectrum, which could either be an absorption or an emission spectrum, consists of light in which only certain discrete wavelengths are present. Absorption spectrum appears as a pattern of dark lines or missing colors superimposed on the continuous spectrum, created when a cloud of gas absorbs certain wavelengths from the continuous spectrum behind it. Meanwhile, an emission spectrum appears as a series of bright lines when we examine an excited gas cloud, demonstrating that the gas is emitting light at only certain wavelengths, as showcased in Figure 5.12.

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The five positions of the spaceship from left to right are based on the strength of the gravitational force that Earth exerts on the spaceship, from strongest to weakest is [tex]5, 1, 2, 4, 3[/tex]

Gravity, or gravitation, is a natural phenomenon by which all things with mass or energy—including planets, stars, galaxies, and even light—are brought toward one another.

The gravitation force that Earth exerts on the spaceship will be:[tex]F_{ES}=(Gm_1m_E)/r^2[/tex]

Where [tex]F_{ES}[/tex] the force exerted on the spaceship by Earth [tex]m_1\\\\[/tex] is the mass of the spaceship and r is the distance between the.

[tex]F_{ES}\ \alpha\ 1/r^2[/tex]

This indicates larger the distance smaller will be the force. The correct order is [tex]5, 1, 2, 4, 3[/tex].

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The strength of the gravitational force that Earth exerts on a spaceship varies depending on the distance between them. The force is strongest when the spaceship is closest to Earth and weakest when it is closest to the Moon.

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Answer:

Length of shadow cast by hand= 5.0 cm

Explanation:

With the hand inclined at an angle θ=30.0∘ above horizontal, it can be imagined to form part of a right angled triangle that has the following parts

vertical screen=vertical part of the triangle where we cast the shadow of the hand

The hand=the hypotenuse side

The horizontal = side to which the hand makes the 30.0° angle

By trigonometric relationship

Sin θ°= Opposite/hypotenuse

Sin θ° = (Shadow cast by hand)/(Length of hand)

Sin 30° = ( length of shadow cast by hand)/10cm

or 0.5 = (length of shadow cast by hand)/10cm

Length of shadow cast by hand= 0.5 × 10cm = 5.0 cm

There are mistakes in the question.The correct question is here

A 2.0 kg, 20-cm-diameter turntable rotates at 100 rpm on frictionless bearings. Two 500 g blocks fall from above, hit the turntable simultaneously at opposite ends of a diameter, and stick. What is the turntable’s angular velocity, in rpm, just after this event?

Answer:

w=50 rpm

Explanation:

Given data

The mass turntable M=2kg

Diameter of the turntable d=20 cm=0.2 m

Angular velocity ω=100 rpm= 100×(2π/60) =10.47 rad/s

Two blocks Mass m=500 g=0.5 kg

To find

Turntable angular velocity

Solution

We can find the angular velocity of the turntable as follow

Lets consider turntable to be disk shape and the blocks to be small as compared to turntable

[tex]I_{turntable}w=I_{block1}w^{i}+I_{turntable}w^{i}+I_{block2}w^{i}[/tex]

where I is moment of inertia

[tex]w^{i}=\frac{I_{turntable}w}{I_{block1}w^{i}+I_{block2}w^{i}+I_{turntable}w^{i}}\\ So\\I_{turntable}=M\frac{r^{2} }{2}\\I_{turntable}=2*(\frac{(0.2/2)}{2} )\\ I_{turntable}=0.01 \\And\\I_{block1}=I_{block2}=mr^{2}\\I_{block1}=I_{block2}=(0.5)*(0.2/2)^{2} \\ I_{block1}=I_{block2}==0.005\\so\\w^{i}=\frac{I_{turntable}w}{I_{block1}w^{i}+I_{block2}w^{i}+I_{turntable}w^{i}}\\w^{i}=\frac{0.01*(10.47)}{0.005+0.005+0.01} \\w^{i}=5.235 rad/s\\w^{i}=5.235*(60/2\pi )\\w^{i}=50 rpm[/tex]

The problem is a case of angular momentum conservation within the domain of rotational dynamics in physics. The turntable's initial angular momentum remains conserved despite the addition of the blocks. By accounting for the added moment of inertia from the blocks, the final angular velocity of the system can be calculated.

The subject we're discussing here comes under the physics concept of rotational dynamics particularly focusing on the conservation of angular momentum.

Before the blocks hit the turntable, we know that the turntable is rotating with an angular velocity given in RPM (revolutions per minute), which we can convert to rad/s for our calculations. So, the initial angular momentum can be represented as Lim = (moment of inertia of the system) * (initial angular velocity).

Once the blocks fall onto the turntable, they contribute to the moment of inertia of the system, while the angular momentum of the system remains conserved. Thus resulting in a decreased angular velocity. The final angular momentum can be represented as Lfm = (moment of inertia including the blocks) * (final angular velocity).

Since the initial and final angular momenta need to be equal (Lfm = Lim), we can solve the resulting equation for the final angular velocity.

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Answer:

Negative work

Explanation:

The work-energy theorem states that the work of the resultant forces acting on a particle modifies its kinetic energy:

[tex]W=\Delta K\\W=\frac{mv_f^2}{2}-\frac{mv_0^2}{2}\\W=\frac{m}{2}(v_f^2-v_0^2)\\W=\frac{m}{2}((7\frac{m}{s})^2-(15\frac{m}{s})^2)\\W=\frac{m}{2}(-178\frac{m^2}{s^2})[/tex]

Since the mass of the ball has to be positive, the work is negative.

The external force did negative work on the ball because the ball's speed decreased from 15 m/s to 7 m/s, indicating a decrease in kinetic energy.

To determine whether the force has done positive, negative, or zero work on the ball, we must consider the change in the ball's kinetic energy. Work done by a force is defined as the change in kinetic energy of an object. The formula for work done (W) is given by the change in kinetic energy:

W = ΔKE = ½mv2final - ½mv2initial

Since the speed of the ball decreased from 15 m/s to 7 m/s, the kinetic energy of the ball also decreased. A decrease in kinetic energy means that negative work was done on the ball by the external force.

Answer:

120.125 m

Explanation:

Density = Mass/volume

D = m/v .............................. Equation 1.

Where D = Density of the solid copper sphere, m = mass of the solid copper sphere, v = volume of the solid copper sphere.

Making v the subject of the equation,

v = m/D............................... Equation 2

Given: m = 76.5 kg,

Constant: D = 8960 kg/m .

Substituting into equation 2

v = 76.5/8960

v = 0.0085379 m³

Since the copper sphere is to be drawn into wire,

Volume of the copper sphere = volume of the wire

v = volume of the wire

Volume of wire = πd²L/4

Where d = diameter of the wire, L = length of the wire.

Note: A wire takes the shape of a cylinder.

v = πd²L/4 ........................ equation 3.

making L the subject of the equation,

L = 4v/πd²..................... Equation 4

Given: v = 0.0085379 m³, d = 9.50 mm = 0.0095  and π = 3.14

Substitute into equation 4

L = 4×0.0085379/(3.15×0.0095²)

L = 0.0341516/0.0002843

L = 120.125 m.

L = 120.125 m

Thus the length of the wire produced = 120.125 m

Answer:

Preventive Maintenance.

Explanation:

Preventive maintenance is nothing but The removal, installation, and repair of landing gear tires by the holder of a private pilot certificate on an aircraft owned or operated. Preventive maintenance in an aircraft is performed by any person with holding at least a private pilot certificate. Only he/she can approve an aircraft to return to service after performing Preventive maintenance tests.

Answer:

a. Memory T cells

Explanation:

Memory T cells are actually the antigen-specific T cells that remain long-term after an infection has been eliminated. These memory T cells are quickly converted into large numbers of effector T cells upon reexposure to the specific invading antigen, thus providing a rapid response to past infection that has been experienced before

Answer:

 T₂ =602  °C

Explanation:

Given that

T₁ = 227°C =227+273 K

T₁ =500 k

Gauge pressure at condition 1 given = 100 KPa

The absolute pressure at condition 1 will be

P₁ = 100 + 100 KPa

P₁ =200 KPa

Gauge pressure at condition 2 given = 250 KPa

The absolute pressure at condition 2 will be

P₂ = 250 + 100 KPa

P₂ =350 KPa

The temperature at condition 2 = T₂

We know that

[tex]\dfrac{T_2}{T_1}=\dfrac{P_2}{P_1}\\T_2=T_1\times \dfrac{P_2}{P_1}\\T_2=500\times \dfrac{350}{200}\ K\\[/tex]

T₂ = 875 K

T₂ =875- 273 °C

T₂ =602  °C

The problem involves using Charles's Law, a form of the ideal gas law, to find the final temperature of nitrogen after heating, by converting all pressures to absolute pressures and applying the law to relate initial and final states.

The student's question involves determining the final temperature of nitrogen gas in a rigid tank after heating, given initial temperature and pressures, using the ideal gas law. To solve this problem, we assume the nitrogen behaves as an ideal gas and use the relation between pressure, volume, temperature, and the number of moles of gas, which is constant since the tank is rigid.

Firstly, convert all pressures into absolute pressures by adding atmospheric pressure to the gage pressures. Then, apply the ideal gas law in the form of Charles's Law (P1/T1 = P2/T2), which relates pressure and temperature at constant volume and number of moles. To find the final temperature (T2), rearrange the equation to T2 = (P2/P1) * T1, where P2 and P1 are the final and initial absolute pressures, respectively, and T1 is the initial temperature in Kelvin.

Answer:

The work done by the hoop is equal to 5.529 Joules.

Explanation:

Given that,

Mass of the hoop, m = 96 kg

The speed of the center of mass, v = 0.24 m/s

To find,

The work done by the hoop.

Solution,

The initial energy of the hoop is given by the sum of linear kinetic energy and the rotational kinetic energy. So,

[tex]K_i=\dfrac{1}{2}mv^2+\dfrac{1}{2}I\omega^2[/tex]

I is the moment of inertia, [tex]I=mr^2[/tex]

Since, [tex]\omega=\dfrac{v}{r}[/tex]

[tex]K_i=mv^2[/tex]

[tex]K_i=96\times (0.24)^2=5.529\ J[/tex]

Finally it stops, so the final energy of the hoop will be, [tex]K_f=0[/tex]

The work done by the hoop is equal to the change in kinetic energy as :

[tex]W=K_f-K_i[/tex]

W = -5.529 Joules

So, the work done by the hoop is equal to 5.529 Joules. Therefore, this is the required solution.

Final answer:

The force on the skier parallel to the slope is found by calculating the component of the skier's weight that acts along the slope. This force is the weight multiplied by the sine of the angle of the slope, which results in 534.8 Newtons for a 103 kg skier on a 32° slope.

Explanation:

To determine the force on the skier parallel to the slope, we can make use of the component of the gravitational force along the slope. Since we are neglecting friction, the only force acting on the skier in the direction parallel to the slope is the component of the skier's weight in that direction.

The weight of the skier can be calculated by multiplying the mass (m) by the acceleration due to gravity (g), which is W = m × g. The component of the weight parallel to the slope is Wparallel = W × sin(θ), where θ is the angle of the slope. Substituting the given values, we have W = 103 kg × 9.8 m/s² = 1009.4 N. The parallel component is then 1009.4 N × sin(32°).

To find the sine of 32°, we use a calculator and get sin(32°) ≈ 0.5299. Multiplying this by the weight gives the parallel force on the skier, which is 1009.4 N × 0.5299 ≈ 534.8 N. Therefore, the force on the skier parallel to the slope is 534.8 Newtons.

The thickness of a silicon wafer can be found using the volume of a cylinder and the density formula. Given the diameter and the mass, rearranging to solve for height will give the thickness of the wafer in millimeters.

The thickness of the silicon wafer can be found by using the formula for the volume of a cylinder (Volume = pi * radius2 * height) and the definition of density (Density = mass/volume). Given the silicon wafer has a diameter of 3 inches (or a radius of 1.5 inches), and a mass of 1.5g, we can determine the volume of the wafer from the given density. Rearranging the equation for the volume of a cylinder to solve for height (or thickness, in this case) gives: Thickness = Volume / (pi * radius2). Assuming measurements are converted correctly for consistent units, this calculation will give the thickness of the wafer in millimeters.

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Answer:

Earth crust and specifically the continental crust.

Explanation:

If we examine the earth crust there is mostly the granite and basalt and most of the granite is present in the continental crust part which is less thicker and denser. That's why we say that the continental crust has the composition similar to that of granite.

Answer:

1.55 m

Explanation:

Momentum: This can be defined as the product of  mass of a body and it velocity. the S.I unit of momentum is kgm/s.

Mathematically,

Momentum can be represented as,

M = mv................................. Equation 1

Where m = mass of the body, v = velocity of the body, M = momentum.

Making v the subject of the equation,

v = M/m........................................... Equation 2

Given: M = 0.80 kg.m/s, m = 0.145 kg.

Substituting into equation 2,

v = 0.8/0.145

v = 5.52 m/s.

Using the equation of motion,

v² = u² + 2gs ....................... Equation 3.

Where v = final velocity of the rubber ball, u = initial velocity of the rubber ball, s = distance, g = acceleration due to gravity.

Given: v = 5.52 m/s, u = 0 m/s, g = 9.81 m/s².

Substituting into equation 2

5.52² = 0² + 2(9.81)s

30.47 = 19.62s

s = 30.47/19.62

s = 1.55 m.

Thus the ball was dropped from a height of 1.55 m

Answer:

Cerebral palsy

Explanation:

Cerebral palsy - it is referred to that disorder which is related to damages that caused permanent disorder in the functioning of body parts.  it affects the proper functioning of muscles thus cause the coordination problem.

it is caused due to abnormalities in the brain that result in the coordination of the body. As it is related to abnormalities in the brain thus it also causes a problem in vision, speaking, hearing, etc

Answer:

You need at least 2.8 s to slow down your car to 100 km/h. If we add reaction time (≅0.3 s), you will need 3.1 s.

Explanation:

Hi there!

The equation of velocity for an object moving in a straight line is the following:

v = v0 + a · t

Where:

v = velocity at time t.

v0 = initial velocity.

a = acceleration.

t = time.

We have to find the time at which the velocity is 100 km/h with a decceleration of 4.9 m/s² and an initial velocity of 149 km/h. Let´s first convert km/h into m/s:

149 km/h · (1000 m / 1 km) · ( 1 h / 3600 s) = 41.4 m/s

100 km/h · (1000 m / 1 km) · ( 1 h / 3600 s) = 27.8 m/s

Now, let´s solve the equation of velocity for the time:

v = v0 + a · t

(v - v0) / a = t

Replacing with the data:

(27.8 m/s - 41.4 m/s) / -4.9 m/s² = t

Notice that the acceleration is negative because you are slowing down.

t = 2.8 s

You need at least 2.8 s to slow down your car to 100 km/h. If we add reaction time (≅0.3 s), you will need 3.1 s.

To get the car under the speed limit, it would take approximately 4.34 seconds.

To calculate the minimum time it takes for the car to get under the 100 km/h speed limit, we need to find the deceleration required to slow down from 149 km/h to 100 km/h.

First, let's convert the speeds to m/s. 149 km/h is equal to 41.4 m/s and 100 km/h is equal to 27.8 m/s.

Using the equation v² = u² + 2as, where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance, we can rearrange the equation to solve for acceleration:

a = (v² - u²) / (2s)

Plugging in the values, we get a = (27.8² - 41.4²) / (2(-30.5)).

Solving this equation, we find that the minimum deceleration required is approximately -3.13 m/s².

Finally, we can use the formula a = Δv / t to find the minimum time:

t = Δv / a = (41.4 - 27.8) / 3.13 = 4.34 seconds.

B) Nuclear fission

Explanation:

Nuclear power plants work by using the process of nuclear fission.

Nuclear fission occurs when a heavy, unstable radioactive nuclei decays, breaking apart into two or more lighter nuclei, more stable. In the process, several neutrons are also released, alongside with energy.

In nuclear power plants, the nucleus used for the process is the Uranium-235. When an atom of uranium-235 absorbs a slow neutron, it becomes a very unstable nucleus of uranium-236, which quickly decays into a nucleus of Barium-141, Kripton-92 and 3 neutrons.

The uranium nuclei are located in the so-called fuel rods, which are placed in a moderator (usually water). The purpose of the moderator is to slow down the neutrons emitted in the reaction: this way, these neutrons can be absorbed by other nuclei of uranium-235, causing more fission reactions to occur.

Learn more about radioactive decay:

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Answer:

Explanation:

The efficiency of the heat engine is less than 100%. The heat engine converts the thermal energy from the burning of fuel to the mechanival energy. Thus, some of the energy gets lost as waste heat.

Hence, this waste heat is used up to heat up the interior of the car and person feels warmer in the car.

Thus, the waste heat generated in the engine is used for the heating of the car interior.

Final answer:

Running the heater in a car on a cold winter day doesn't cost much additional energy beyond running the fan because the heat generated by the engine is mostly released into the environment instead of being used for work in the car.

Explanation:

Heat engines convert thermal energy into work. In a car engine, heat is produced when fuel is burned, and this heat is converted into kinetic energy to move the car and power its systems. Running the heater in a car on a cold winter day doesn't cost much additional energy beyond running the fan because the heat generated by the engine is mostly released into the environment instead of being used for work in the car.

Answer:

13520 N

Explanation:

Pascal's Principle: The principle states that the pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and the walls of the containing vessel.

The operation of hydraulic press and car brake system is based on pascal's principle.

From pascal's principle,

F/A = f/a ........................... Equation 1

Where F = force exerted by the large piston, A = area of the large piston, f = force applied to the small piston, area of the small piston.

Making F the subject of the equation

F = A(f/a)......................... Equation 2

Given: A = 0.13 m², a = 0.0075 m², f = 780 N

Substituting into equation 2

F = 0.13(780/0.0075)

F = 13520 N.

Thus the force exerted by the large piston = 13520 N

Answer:

4.225 J

Explanation:

Elastic Potential Energy: This is the potential energy stored in an elastic material.This also the energy required to stretch an elastic material. The S.I unit is Joules.

Mathematically it is expressed as

E = 1/2ke²....................... Equation 1

Where E =elastic potential Energy, k = spring constant, e = extension.

Given: k = 5.0 N/m, e = 3.93-2.63 =  1.3 m.

Substitute into equation 1

E = 1/2(5)(1.3)²

E = 8.45/2

E = 4.225 J.

Thus the Elastic potential Energy = 4.225 J.

Answer:

Explanation:

Given

Heat transfer [tex]Q=1.6\times 10^5\ J[/tex]

initial Temperature [tex]T_i=17.5^{\circ}\approx 290.5\ K[/tex]

Entropy change [tex]dS=485\ J/K[/tex]

The expression for entropy is given by

[tex]dQ=TdS[/tex]

[tex]T=\frac{dQ}{dS}[/tex]

[tex]T=\frac{1.6\times 10^5}{485}[/tex]

[tex]T=329.89\ K[/tex]

Temperature can be written as average of initial and final temperature

[tex]T=\frac{T_i+T_f}{2}[/tex]

[tex]329.89=\frac{T_f+290.5}{2}[/tex]

[tex]T_f=659.78-290.5[/tex]

[tex]T_f=369.28\ K[/tex]