A grape is thrown straight up in the air. If it was thrown at 2 m/s, how high will it go in the air?

Answer:

To determine the height to which the ball rises before it reaches its peak, we need to know the initial velocity of the ball and the acceleration due to gravity. Let's assume the initial velocity of the ball is v and the acceleration due to gravity is g.

The time it takes for the ball to reach its peak is one-half the total hang-time, or 1/2 * 6.25 s = 3.125 s.

The height to which the ball rises can be calculated using the formula:

height = v * t - (1/2) * g * t^2

Substituting in the values we know, we get:

height = v * 3.125 s - (1/2) * g * (3.125 s)^2

To solve for the height, we need to know the value of v and g. Without more information, it is not possible to determine the height to which the ball rises before it reaches its peak.

Explanation:

Answer:

Approximately \(47.9\; {\rm m}\) (assuming that \(g = 9.81\; {\rm m\cdot s^{-2}}\) and that air resistance on the baseball is negligible.)

Explanation:

If the air resistance on the baseball is negligible, the baseball will reach maximum height at exactly \((1/2)\) the time it is in the air. In this example, that will be \(t = (6.25\; {\rm s}) / (2) = 3.125\; {\rm s}\).

When the baseball is at maximum height, the velocity of the baseball will be \(0\). Let \(v_{f}\) denote the velocity of the baseball after a period of \(t\). After \(t = 3.125\; {\rm s}\), the baseball would reach maximum height with a velocity of \(v_{f} = 0\; {\rm m\cdot s^{-1}}\).

Since air resistance is negligible, the acceleration on the baseball will be constantly \(a = (-g) = (-9.81\; {\rm m\cdot s^{-2}})\).

Let \(v_{i}\) denote the initial velocity of this baseball. The SUVAT equation \(v_{f} = v_{i} + a\, t\) relates these quantities. Rearrange this equation and solve for initial velocity \(v_{i}\):

\(\begin{aligned}v_{i} &= v_{f} - a\, t \\ &= (0\; {\rm m\cdot s^{-1}}) - (-9.81\; {\rm m\cdot s^{-2}})\, (3.125\; {\rm s}) \\ &\approx 30.656\; {\rm m\cdot s^{-1}}\end{aligned}\).

The displacement of an object is the change in the position. Let \(x\) denote the displacement of the baseball when its velocity changed from \(v_{i} = 0\; {\rm m\cdot s^{-1}}\) (at starting point) to \(v_{t} \approx 30.656\; {\rm m\cdot s^{-1}}\) (at max height) in \(t = 3.125\; {\rm s}\). Apply the equation \(x = (1/2)\, (v_{i} + v_{t}) \, t\) to find the displacement of this baseball:

\(\begin{aligned}x &= \frac{1}{2}\, (v_{i} + v_{t})\, t \\ &\approx \frac{1}{2}\, (0\; {\rm m\cdot s^{-1}} + 30.565\; {\rm m\cdot s^{-1}})\, (3.125\; {\rm s}) \\ &\approx 47.9\; {\rm m}\end{aligned}\).

In other words, the position of the baseball changed by approximately \(47.9\; {\rm m}\) from the starting point to the position where the baseball reached maximum height. Hence, the maximum height of this baseball would be approximately \(47.9\; {\rm m}\!\).

Answer:

  λ = 6 10⁻⁷ m, color orange

Explanation:

This problem is about the interference phenomenon, constructive interference occurs when the path difference is equal to an integer number of wavelengths

          d sim θ = m λ

Let's use trigonometry, remembering that the angles for these experiments are very small.

          Sin θ = y / L

          tan θ = \(\frac{sin \theta}{cos \theta}\) = sin θ

          sin θ = y / L

we substitute

         \(d \ \frac{y}{L} = m \lambda\)

A) Donut length is requested

        λ = \(\frac{d \ y}{m \ L}\)

let's calculate

        λ = 5 10⁻⁵ 0.06 /( 1  5)

        λ = 6 10⁻⁷ m

B) let's express the wavelength in nm

      λ = 6 10⁻⁷ m = 600 nm

this corresponds to the color orange

The latent heat of vaporization is  2240 J/g

The latent heat of vaporization is the amount of heat energy required to transform a unit mass of a substance from a liquid phase to a gas phase at a constant temperature and pressure. This process involves breaking the intermolecular bonds between the molecules of the liquid and converting them into gas, which requires energy.

Given that;

I^2Rt = mL

(2)^2 * 8 * 630 = 9 * L

L = (2)^2 * 8 * 630/9

L = 2240 J/g

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Therefore, the power of the porter is 441,450 J/s, or approximately 441.5 watts.

The work done by the porter in lifting the 50 kg bag up the stairs can be calculated as the product of the force applied and the distance moved.

The force applied is the weight of the bag, which is given by:

F = m * g

where m is the mass of the bag and g is the acceleration due to gravity, which is approximately 9.81 m/s². Substituting the given values, we get:

F = 50 kg * 9.81 m/s²

F = 490.5 N

The distance moved by the porter in lifting the bag up one staircase is 30 cm, and the porter climbs 10 staircases in 10 seconds, which gives a speed of:

v = (10 * 30 cm) / 10 s

v = 30 cm/s

The power of the porter is the rate at which work is done, which can be calculated as:

P = W / t

where W is the work done and t is the time taken. Substituting the values, we get:

P = F * d * v / t

P = 490.5 N * 10 * 30 cm * 30 cm/s / 10 s

P = 441,450 J/s

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Answer:

\(0.2\; {\rm T}\), assuming that the speed of the electron stays the same.

Explanation:

Let \(v\) denote the speed of this electron. Let \(q\) denote the electric charge on this electron. Let \(m\) denote the mass of this electron.

Since the path of this electron is a circle (not a helix,) this path would be in a plane normal to the magnetic field.

Let \(B\) denote the strength of this magnetic field. The size of the magnetic force on this electron would be:

\(F = q\, v\, B\).

Assuming that there is no other force on this electron. The net force on this electron would be \(F = q\, v\, B\). By Newton's Second Law of motion, the acceleration of this electron would be:

\(\begin{aligned}a &= \frac{F}{m} \\ &= \frac{q\, v\, B}{m}\end{aligned}\).

On the other hand, since this electron is in a circular motion with a constant speed:

\(\begin{aligned} a = \frac{v^{2}}{r} \end{aligned}\).

Combine the two equations to obtain a relationship between \(r\) (radius of the path of the electron) and \(B\) (strength of the magnetic field:)

\(\begin{aligned}\frac{q\, v\, B}{m} = \frac{v^{2}}{r}\end{aligned}\).

Simplify to obtain:

\(\begin{aligned}r &= \frac{m\, v^{2}}{q\, v\, B} \\ &= \frac{m\, v}{q\, B} \\ &= \left(\frac{m\, v}{q}\right)\, \frac{1}{B}\end{aligned}\).

In other words, if the speed \(v\) of this electron stays the same, the radius \(r\) of the path of this electron would be inversely proportional to the strength \(B\) of the magnetic field. Doubling the radius of this path would require halving the strength of the magnetic field (to \(0.2\; {\rm T}\).)

Answer:

after it has hit the ground

.........

Answer: A. after it has hit the ground

Answer:

Wave Energy and Biomass Energy sources.

Explanation:

The main sources of energy available on earth are Coal, Geothermal, Nuclear, Petroleum, Hydro,  Biomass, and Wave, from which nuclear and geothermal are resultant of radioactive materials whereas Coal and Petroleum are resultant of Fossil Fuels.

Biomass energy is produced by living organisms, for example, corn is used as biomass material, which stores energy through photosynthesis, and the photosynthesis process is only possible with Sun.

Wave energy is resultant of the sun's uneven heating of the ocean which makes tides and then the motion of the waves utilize to harness the energy.

A glass marble has an average volume of about 2 cm3. When discussing the volume of a marble, you want to know how much space the object occupies.

What is the volume of each marble?

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It has the greatest Potential energy when the ball reaches its highest point.The correct option is D

Potential energy is the energy that an object possesses due to its position or state, which can be converted into work or kinetic energy when acted upon by a force.

There are three types of Potential Energy such as :

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Answer:

1) PE=mgh

2)when the ball reaches its highest point

3)21,599,200 J

4) The object’s mass, gravity, and height determine its potential energy.

5)Members of a team work together to create a plan, and then members choose different tasks to carry out the plan.

A 3m beam of negligible weight is balancing in equilibrium with a fulcrum placed 1m from its left end. If a force of 50N is applied on it's right end, The amount of force would need to be applied to the left end is (F)= 100N

Force is a physical phenomena that help of a object to change its motion and move its position from one end to another. It is a vector quantity. It can be measured in Newton.

To calculate the force we are using the formula,

F= f×(d₂-d₁)

Here we are given,

f= The initial force affect on the weight. = 50N

d₁= The primary distance from the weight.=1m

d₂= The secondary distance from the weight.=3m

We have to calculate the force applied on the left end.=F

Now we put the values in above equation, we get

F= f×(d₂-d₁)

Or, F= 50×(3-1)

Or, F= 100N

From the above discussion we can say that, The amount of force would need to be applied to the left end is (F)= 100N

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Answer:

..

Explanation:

The momentum of the motorcycle with the given mass and velocity is 4200kgm/s².

Given the data in the question;

Momentum is simply the product of the mass of an object and its velocity.

It is a vector quantity having a magnitude and a direction.

It is expressed as;

\(p = m * v\)

Where m is mass of the object and v is the velocity of the object.

We substitute our given values into the equation above;

\(p = m * v\\\\p = 280kg * 15m/s\\\\p = 4200kgm/s\)

Therefore, the momentum of the motorcycle with the given mass and velocity is 4200kgm/s².

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The efficiency of motor is 90.58%.To determine the efficiency of the motor, we need to calculate the input power and the output power, and then divide the output power by the input power

The input power can be calculated using the formula:

Input Power = Voltage × Current

Given that the voltage is 230 V and the current is 24 A, we have:

Input Power = 230 V × 24 A

Input Power = 5520 W (or 5.52 kW)

The output power of the motor is given as 5 kW (since it is a 5 kW motor).

Now, we can calculate the efficiency:

Efficiency = (Output Power / Input Power) × 100%

Efficiency = (5 kW / 5.52 kW) × 100%

Efficiency ≈ 90.58%

Therefore, the efficiency of this motor is approximately 90.58%.

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Answer:

The pressure will show inverse relation - it will start to increase along with the decrease in volume.

Explanation:

The volume of a gas is inversely proportional to the pressure exerted upon it; hence for a given temperature, if you observe a decrease in the volume on the graph, you can be certain that the pressure must have increased.

To elucidate it even more just think of how the molecules of gas will behave in a closed container at a given temperature. The more you compress or put pressure upon the gas the more the volume of it will decrease.

Answer:

4) do the x and y components

r = sqrt( (50)^2 + (34.6)^2 )

= 60.8

theta = tan-1 (34.6/50)

= 34.7 degrees

5) equal and opposite

r=60.8

theta =34.7 +180

=214.7 degrees

See the answer

Explanation:

Answer:

4.  |R| = 60.8 N (3 s.f.)

    θ = 34.7° (3 s.f.) relative to the x-axis

5.  |F| = 60.8 N (3 s.f.)

    θ = 214.7° (3 s.f.) relative to the x-axis

Explanation:

\(\textsf{Force}: \quad F=xi+yj\)

\(\textsf{Magnitude}: \quad |F|=\sqrt{x^2+y^2}\)

Given:

\(|F_1|=30\;\sf N\)

\(|F_2|=40\;\sf N\)

Using the given magnitudes and the force diagram:

\(F_1=30i+0j\)

\(\begin{aligned}F_2&=(40 \cos 60^{\circ})i+(40 \sin60^{\circ})\\ &=20i+20\sqrt{3}j\end{aligned}\)

The resultant force is the sum of all forces acting on an object.

To find the resultant force, add the corresponding components of the forces:

\(\begin{aligned}\implies R& =(x_{F_1}+x_{F_2})i+(y_{F_1}+y_{F_2})j\\ &=(30+20)i+(0+20\sqrt{3})j\\& = 50i+20\sqrt{3}j\end{aligned}\)

Therefore the magnitude of the resultant force is:

\(\begin{aligned}\implies |R|&=\sqrt{50^2+(20\sqrt{3})^2\\& = \sqrt{2500+1200}\\& = \sqrt{3700}\\ & = \sqrt{100 \cdot 37}\\ & = \sqrt{100}\sqrt{37}\\ & = 10\sqrt{37}\\ & = 60.8\; \sf N\;(3\:s.f.)\end{aligned}\)

The direction of the resultant force is:

\(\begin{aligned}\implies \theta & = \tan^{-1}\left(\dfrac{y}{x}\right)\\\theta & = \tan^{-1}\left(\dfrac{20\sqrt{3}}{50}\right)\\\theta & =34.71500395...^{\circ}\\\theta & =34.7^{\circ}\; \sf (3 \:s.f.)\end{aligned}\)

An object is in equilibrium if the resultant force on it is zero.

Therefore, the magnitude of the equilibriant force is equal to the magnitude of the resultant force:  60.8 N (3 s.f.).

The direction of the equilibriant force is opposite to the resultant force, so its components will be:

\(F=-50i-20\sqrt{3}j\)

Therefore, it will be in Quadrant III.

So the direction relative to the x-axis will be the same direction as the resultant force plus 180°:

\(\begin{aligned}\implies \theta &=180^{\circ}+34.7^{\circ}\\& = 214.7^{\circ}\; \sf (3 \:s.f.)\end{aligned}\)

Answer:

79.29

Explanation:

Given that,

The y component of a vector, y = 36

The angle between the vector and the x-axis is 27.

We need to find the magnitude of a vector.

Let a and b are x and y component of a vector m. There resultant is R. So,

\(R=\sqrt{a^2+b^2}\)

Where

\(a=c\cos\theta\ \text{and}\ b=c\sin\theta\)

We have, b = 36 and θ = 27°

So,

\(36=R\sin\theta\\\\R=\dfrac{36}{\sin\theta}\\\\R=\dfrac{36}{\sin(27)}\\R=79.29\)

So, the magnitude of the vector is 79.29

Answer:

- Temperature & Thermometer. By definition, the temperature is the measurable extent of hotness or coldness. It is a mathematical representation of heat.

- Types of Thermometer

- Clinical Thermometer. Clinical thermometers are meant for clinical purposes. It is developed for measuring the human body temperature.

- Laboratory Thermometer. Since clinical thermometers can’t be used to measure temperature other than the human body, we need a special type of thermometers for other purposes.

- Infrared Ear Thermometer. Checking the body temperature using the inside of the ear is known as tympanic membrane temperature.

The abnormalities in the genetic code must be found and corrected on time as it could lead to inherited disorders which could be life-threatening.

Genetic abnormalities are the conditions which are caused by changes to the genes or chromosomes. Genetic disorders are also known as inherited disorders which are caused by mutations in the genetic code. Genetic disorders include disorders such as cystic fibrosis, sickle cell disease, and Tay-Sachs disease.

Cells become diseased because certain genes work incorrectly or does not work at all. Replacing the defective genes in the diseased organisms may help treat certain diseases. For instance, a gene called p53 prevents tumor growth. Several types of cancer which have been linked to problems with the p53 gene.

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The impulse the gravity imparts on the stone from the instant it was dropped until it hits the ground is 72.66 Ns

This is defined as the change in momentum of an object.

Impulse = change in momentum

Impulse = final moment – Initial momentum

Impulse = force × time

h = ½gt²

6.02 = ½ × 9.8 × t²

6.02 = 4.9 × t²

Divide both side by 4.9

t² = 6.02 / 4.9

Take the square root of both side

t = √(6.02 / 4.9)

t = 1.1 s

Impulse = Force × time

Impulse = 66.052 × 1.1

Impulse = 72.66 Ns

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Answer:

Although there are only 118 elements that have been discovered and entered in the Periodic Table, there is an almost infinite multiplicity of things, materials, resources and other objects in the universe.

This is so because each of these elements can be combined with the others, varying its proportion and the inclusion of different elements, forming different things according to the proportion in which each element has been used.

The temperature remains constant while the substance is changing state.The correct answer is option C.

When a substance undergoes a change of state, such as melting, boiling, or condensing, the temperature of the substance remains constant during the phase transition. The process of changing state requires the absorption or release of heat energy without a change in temperature.

For example, when a solid is heated, its temperature increases until it reaches the melting point. At this point, the substance starts to change from a solid to a liquid, but the temperature remains constant until all the solid has melted.
The absorbed heat energy is used to break the intermolecular forces holding the particles together, rather than increasing the kinetic energy of the particles.

Similarly, during the process of condensation or freezing, a substance releases heat energy as it changes state. This released energy is used to form intermolecular forces and convert the substance from a gas to a liquid or a liquid to a solid. The temperature remains constant until the phase transition is complete.
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Total weight in tons

\(\\ \sf\longmapsto 2.3\times 10^6\times 2.4\)

\(\\ \sf\longmapsto 5.52\times 10^6\)

\(\\ \sf\longmapsto 5520000ton\)

\(\\ \sf\longmapsto 5520000\times 1000\)

\(\\ \sf\longmapsto 5520000000kg\)

\(\\ \sf\longmapsto 5.52\times 10^9Kg\)

The masses of the two objects MA and MB in the binary system are 4 Mo respectively.

The masses of binary systems can be calculated using Kepler's laws of planetary motion and observations of the system.

Let's denote the masses of the two objects as MA and MB, where MA is the mass of object A and MB is the mass of object B. We know that the total mass of the binary system is 8 Mo, so:

MA + MB = 8 Mo

We also know that the ratio of the distances between the two objects is 1/3. Let's denote the distance between the two objects as d, so we have:

d(A to B) / d(Binary System) = 1/3

We can simplify this equation by using the fact that the distances between the objects and the binary system add up to the total distance between the objects:

d(A to B) + d(B to binary system) = d(Binary system)

Since we know the ratio of the distances, we can substitute 1/3d for d(B to binary system):

d(A to B) + 1/3d = d(Binary system)

3d(A to B) + d = 3d(Binary system)

Substituting d(A to B) for d(Binary system) - d(B to binary system), we get:

3d(A to B) + d = 3(d(A to B) + d(B to binary system))

2d(A to B) = 2d(B to binary system)

d(A to B) / d(B to binary system) = 1

So the two objects are at the same distance from the binary system center of mass. This means that the masses of the two objects are equal:

MA = MB

Substituting this into the first equation, we get:

2MA = 8 Mo

MA = MB = 4 Mo

Therefore, the mass of each object is 4 Mo.

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Answer: ouch

Explanation:

Answer:

m=1800kg

1800000g×10N/kg

18000000N force is required to life the car

Answer:

Both springs and rubber bands store potential energy, and the energy turns into kinetic energy when that energy is released.

Explanation:

the initial speed of the bullet as it was fired horizontally into the wooden block resting on a horizontal surface is 265m/s.

A conservation law states that the total linear momentum of a closed system remains constant through time, regardless of other possible changes within the system.

Given, A 5.00g bullet is fired horizontally into a 1.20kg wooden block resting on a horizontal surface.

In our case,

Mass of bullet = 5 gram = 0.005 kg

Mass of wooden block = 1.2 kg

the initial velocity of block = 0

Kinetic friction = 0.20

First, we get the velocity of the Wood.

From Conservation of Energy:

1/2m v² = μ mgs

v = √(2 μgs)

Where v is the velocity of the block,

μ is the coefficient of kinetic friction,

s is the displacement of the bullet

g is the acceleration due to gravity (9.81)

v = √(2 *0.2*9.81 * 0.31)

v = 1.1 m/s

so, the velocity of the wooden block after the collision will be 1.10 m/s

Now, we determine the velocity of the bullet. Using Conservation of Momentum.

m₁v₁ + m₂v₂ = MV

0.005 *v + 0 = (1.20 + 0.005) * 1.1

v = 1.325/0.005

v = 265 m/s

Therefore, the initial speed of the bullet as it was fired horizontally into the wooden block resting on a horizontal surface is 265m/s.

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Answer:

A) The formula used to convert from degrees fahrenheit to degrees celsius is °C = 5/9 (° F - 32)

Thus, 5/9 (134°F-32)

5/9=0,55

=0,555 * 102°F

=56,66 °C

B) 5/9 (-79.8°F-32)

=0,555 * -111,8

=-62.11 °C

A) The formula used to convert from degrees Celcius to degrees Kelvin is °K = °C + 273.15

56,66 °C + 273.15

= 329.81 °K

B) K = -62.11 °C + 273.15

=211.04 °K