A ball is thrown at an angle of 40 degrees with a velocity of 20 m/s from a rooftop that is 15 meters high.
a) How high will the ball reach above the ground?
b)How much time will it be in the air?
c)How far form the edge of the building will it land?
d)What is the velocity including angle as it hits?

The density of the liquid sample is 1.52 g/ml.

Density is the substance's mass consistent with the unit of quantity. The symbol most customarily used for density is ρ, despite the fact that the Latin letter D can also be used. Density is the size of ways tightly a cloth is packed together. it's far defined as the mass consistent with unit quantity.

ρ = m/V, wherein ρ is the density, m is the mass of the item and V is the quantity of the object.

Calculation:-

Density = mass/volume

              = 22.8/14.7 g/ml

              = 1.52 g/ml

The density is of two types, one is absolute density, and the alternative is relative density. Relative density is also called unique gravity, which is the ratio of the density of a material to the density of a reference material. typically, the reference fabric is water.

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The incidence angle of a light ray that strikes a plane mirror is 35 degrees from the horizontal, hence the angle of reflection is 55 degrees.

Angle of incidence and angle of reflection are equal when a light beam is incident properly on a flat mirror, according to the laws of reflection. Due to the zero degree incidence angle and reflection, respectively. The path of the reflected light will therefore be the same as the route of the incident beam.

The angle between the light and the surface is 10° if it is parallel to the surface, and 80° if it is perpendicular. It follows that the incidence angle is 80o. The incidence angle and reflection is equal, according to the rule of reflection. The reflection therefore has an 80o angle.

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The reason that most SETI programs choose to listen at microwave radio frequencies is that sending information is via microwaves is the most efficient way.

Microwave radiation has wavelengths between one metre and one millimeter, which correspond to frequencies between 300 MHz and 300 GHz, respectively.

In the frequency range between about 20 kHz and about 300 GHz, radio frequency is the rate at which an alternating electric current or voltage, a magnetic, electric, or electromagnetic field, or a mechanical system, oscillates.

The most energy-efficient method of sending information is via microwaves. Because of this, the majority of SETI programmes opt to listen at microwave radio frequencies.

Hence , the reason that most SETI programs choose to listen at microwave radio frequencies is that sending information is via microwaves is the most efficient way.

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When the Vegan "meatball's" velocity is at its highest position at this moment, its velocity is zero, 0m/s.

A projectile's velocity is zero at its highest point. A projectile's acceleration is zero at its maximum point. The vertical component of a projectile's velocity is suddenly zero (vy = 0 m/s) when it reaches its greatest height.

When vy = 0, the apex—the highest point in any trajectory—is reached. We apply the equation v2y=v20y2g(yy0) to calculate y because we know the initial position, initial velocity, and end velocity.

Since the projectile is moving uphill against the force of gravity, its velocity is beginning to slow down. When the vertical velocity eventually falls to zero, the bullet quickly accelerates downward due to gravity.

A projectile's horizontal velocity is constant (a never changing in value), and Gravity causes a downward vertical acceleration with a magnitude of 9.8 m/s/s. A projectile's vertical velocity fluctuates by 9.8 m/s per second, A projectile's vertical motion is unrelated to its horizontal motion.

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Complete combustion of 1.0 metric ton of coal (assuming pure carbon) to gaseous carbon dioxide release 3.3x10¹⁰ j of heat. a) energy converted into kilojoules will be 3.3 * [tex]10^{7}[/tex]  kJ

b) energy converted into kilocalories will be 7.882 * [tex]10^{6}[/tex] kcal

Heat released = 3.3x10¹⁰ j

a) 1 J = [tex]10^{-3}[/tex] kJ

3.3x10¹⁰ j  = 3.3x10¹⁰ * [tex]10^{-3}[/tex] = 3.3 * [tex]10^{7}[/tex]  kJ

b) 1J = 0.23885 = 2.3885 * [tex]10^{-4}[/tex] kcal

   3.3x10¹⁰ j  =  3.3x10¹⁰  * 2.3885 * [tex]10^{-4}[/tex]  = 7.882 * [tex]10^{6}[/tex] kcal

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The acceleration of rate mobile is 30 m/s².

Given - Initial velocity=80m/s , Final Velocity=200m/s , time= 4sec

To find out acceleration.

Principle- Acceleration means rate of change of velocity. Mathematically derivative of velocity with the function of time is acceleration.

a=dv/dt

a=(vₙ-v )/dt

substitute vₙ=200m/s  , v=80m/s , dt=4sec

a= [ 200 -80 ]/4

a= 120/4

acceleration ⇒ a=30 m/s²

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The speed of the electron ejected from the electron gun is 13.25 x 10^6 m/s

How do you define electrostatic force?

                                           F = kq1q2/r2

In this case, F is the force, k is the proportionality factor, q1 and q2 are two electric charges, and r is the separation between their centres.

Let us assum that the electron from the electron gun is ejected and accelerated in a vacuum.

Therefore if we neglect the gravitational force we see that the entire electrical potential energy is changed into kinetic energy.

According to the given informations:

Ki = initial kinetic energy of the electron = 0

Kf = final kinetic energy of the electron = mv^2/2

Ui = initial potential energy of the electron = qV

Uf = final potential energy of the electron = 0.

From the law of Conservation of energy we know,

Ki + Ui = Kf + Uf.

Putting the values we have,

0 + qV = mv^2/2 +0

qV = mv^2/2

Solving the above equation we find v,

v = √2qV/m

  = √ 2 x

  = √2 (−1.60×10^−19C) (−500J/C) / 9.11×1^−31kg−

  = √175.6 x 10^12

  = 13.25 x 10^6 m/s

Hence, the speed of the electron is 13.25 x 10^6 m/s

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Answer: The answer is True

The angular speed of the ball if it takes 0.5 seconds to make one complete revolution, is Option C. 4 π radius.

Angular speed is the velocity of the object in rotational motion. Distance traveled is represented as θ and is measured in radians. The time taken is measured in terms of seconds. therefore, the angular velocity is articulated in radians consistent with seconds or rad/s.

Angular velocity or rotational velocity, additionally called angular frequency vector, is a pseudovector illustration of how rapidly the angular function or orientation of an item modifications with time.

Calculation:-

The angluar speed ω = ΔΕ/ΔT

                                    = (2π - 0)/0.5

                                   = 4π radis

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Using the concepts of momentum, we got  that 13m/sec is the velocity of the ball after 2 sec if the distance the ball has rolled after t seconds is given by s(t) = 5t + 2t2 equation.

Velocity is defined as the derivative of displacement with respect to time

v= ds/dt

The given equation of distance is

s(t) = 5t + 2t²  : distance that the ball has rolled after t seconds

v= 4 m/s : initial velocity

t= 2 s

Problem development

s(t) = 5t + 2t²

Using differentiability

v= ds/dt= 5 + 4t : velocity of the ball in function of the time

We replace t =2 s in the equation of velocity

v= 5 + 4(2)

=>v=5+8

=>v=13m/sec.

Hence, if a ball is given a push so that it has an initial velocity of 4 m/s down a certain inclined plane, and  the distance it has rolled after t seconds is given by the following equation s(t) = 5t + 2t2,then the velocity of the ball after 2 sec is 13m/sec.

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(Complete question) is:

If a ball is given a push so that it has an initial velocity of 4 m/s down a certain inclined plane, then the distance it has rolled after t seconds is given by the following equation. s(t) = 5t + 2t2 . Find the velocity after 2 seconds.

X-rays and gamma rays are the other forms of electromagnetic radiation you think could be ionizing.

Electromagnetic radiation is produced each time a charged particle, together with an electron, modifications its velocity—i.e., whenever it is improved or decelerated. The energy of the electromagnetic radiation hence produced comes from the charged particle and is therefore misplaced by way of it.

Electromagnetic radiation consists of waves of the electromagnetic subject, which propagate thru an area and deliver electromagnetic radiant electricity. It includes radio waves, microwaves, infrared, light, ultraviolet, X-rays, and gamma rays. All of those waves form part of the electromagnetic spectrum.

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Since it is unclear which of the two frequencies is being raised, the beat frequency will rise if the frequency of the higher-frequency note is raised. On the other hand, if the frequency of the lower frequency note is raised, the beat frequency decreases.

what is frequency?

A recurring event's frequency is measured by how many times it occurs in a unit of time. To emphasize distinctions with spatial and angular frequencies, respectively, it is also sometimes referred to as ordinary frequency or temporal frequency.

Frequency is an essential property for characterizing the temporal rate of change found in oscillatory and periodic phenomena, such as mechanical vibrations, audio signals (sound), radio waves, and light, in science and engineering.

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Since it is unclear which of the two frequencies is being raised, the beat frequency will rise if the frequency of the higher-frequency note is raised. On the other hand, if the frequency of the lower frequency note is raised, the beat frequency decreases.

What is frequency?

A recurring event's frequency is measured by how many times it occurs in a unit of time. To emphasize distinctions with spatial and angular frequencies, respectively, it is also sometimes referred to as ordinary frequency or temporal frequency.

Frequency is an essential property for characterizing the temporal rate of change found in oscillatory and periodic phenomena, such as mechanical vibrations, audio signals (sound), radio waves, and light, in science and engineering.

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The current magnitude in each of the three branches of the circuit below are 1.25 A, 0.924 A and 0.31 A respectively

According to Ohm's law,

V = I R

V = Voltage

I = Current

R = Resistance

In loop 1,

33 I1  + 76 ( I1 - I2 ) - 48 + 20 ( I1 - I2 ) = 22

129 I1 - 96 I2 = 70  → ( 1 )

In loop 2,

76 ( I1 - I2 ) + 51 I1 + 8.5 + 42 I2 + 20 ( I1 - I2 ) = 0

- 96 I1 + 189 I2 = 56.5  

I1 = ( 189 I2 - 56.5 ) / 96  → ( 2 )

Sub ( 2 ) in ( 1 ),

129 ( 189 I2 - 56.5 ) / 96 - 96 I2 = 70

( 24381 I2 - 7288.5 ) / 96 = 96 I2 + 70

24381 I2 - 7288.5 = 9216 I2 + 6720

15165 I2 = 14008.5

I2 = 0.924 A

I1 = ( 189 * 0.924 - 56.5 ) / 96

I1 = 1.25 A

I3 = I1 - I2

I3 = 1.25 - 0.924

I3 = 0.31 A

Therefore, the current magnitude in each of the three branches of the circuit below are:

The given question is incomplete. The complete question is:

Determine the current magnitude and direction of flow in each of the three branches of the circuit below. The circuit is shown in the image attached.

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Answer:

Speed = 126 km/h

Explanation:

Given:

Wk = 110250 J  - Kinetic energy of the car

m = 180 kg - Mass

________________

V - ?  Speed

Wk = m·V² / 2

V = √ (2·W/m)

V = √ (2·110250 / 180) = 35 m/s   or V ≈ 126 km/h

Answer:

Diverging Lens.

Explanation:

Concave lenses have at least one surface curved inside. A concave lens is also known as a diverging lens because it is shaped round inwards at the centre and bulges outwards through the edges, making the light diverge. They are used to treat myopia as they make faraway objects look smaller than they are.

Answer:

Approximately [tex]1.90\; {\rm m}[/tex] (assuming that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex] and that air resistance on the bullfrog is negligible.)

Explanation:

It is given that the initial velocity [tex]u[/tex] is at an angle of [tex]\theta = 37.0^{\circ}}[/tex] above the horizontal. Therefore:

If air resistance on the bullfrog is negligible, final vertical velocity right before landing will be the opposite of the initial vertical velocity:

[tex]v_{y} = (-u_{y}) = (-2.64799)\; {\rm m\cdot s^{-1}}[/tex].

Change in vertical velocity:

[tex](v_{y} - u_{y}) = (-2.64799) \; {\rm m\cdot s^{-1}} - 2.64799 \; {\rm m\cdot s^{-1}} \approx (-5.29598)\; {\rm m\cdot s^{-1}}[/tex].

Vertical acceleration of the bullfrog will be [tex]a = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}[/tex] while the frog is in the air. Therefore, time required for the velocity to change will be:

[tex]\begin{aligned} t &= \frac{v_{y} - u_{y}}{a_{y}} \\ &= \frac{v_{y} - u_{y}}{(-g)} \\ &\approx \frac{(-5.29598)\; {\rm m\cdot s^{-1}}}{(-9.81)\; {\rm m\cdot s^{-2}}} \\ &\approx 0.53985\; {\rm s}\end{aligned}[/tex].

If air resistance on the bullfrog is negligible, horizontal velocity will be constant: [tex]v_{x} = u_{x} \approx 3.51400\; {\rm m\cdot s^{-2}}[/tex]. After [tex]t \approx 0.53985\; {\rm s}[/tex] in the air, the horizontal displacement of the bullfrog will be:

[tex]\begin{aligned}x_{x} &= v_{x}\, t \\ &\approx 3.51400\; {\rm m\cdot s^{-1}} \times 0.53985\; {\rm s} \\ &\approx 1.90\; {\rm m} \end{aligned}[/tex].

Therefore, this bullfrog will cover a distance of approximately [tex]1.90\; {\rm m}[/tex].

The displacement is zero since a single water particle in a sprinkler system travels 85 m and then returns to the same point. Recycling has long been acknowledged as a useful strategy.

There isn't a limitless supply of clean drinking water where we live. We must make the most of it, and part of that means reusing our water in ways that keep it clean for drinking. On-site water can be recycled and reused.

d= 0

because initial and final points are same. therfore, the displacement covered is zero.

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The reasons why the units are included mainly at the top of columns and the beginning of rows in a data table includes.

A data table consists of a range of cells forming a document with content that can be addressed using row or column locations in which values are stored. The data in the cells of a data table can be accessed or retrieved or updated as required, later.

The title of the data table and the top of columns, known as column headers, and the beginning of rows, known as row headers are used to present more details of the content or information in the cells, in order to clarify their meaning.

Placing such details only in the column and row headers reduces repetition of the same details in all cells, improves clarity as usually only values that may be different are placed in the cells, such that it is easier to focus on the values.

The method of including units only at the top, reduces the amount of space required to store the data, it also facilitates the comparison of values in the dataset.

Including units only at the tops of columns and at the beginning of rows also allows the data table to be used for computerized data analysis, such as the programming of the required monthly payment on a home mortgage, through which different interest rate and loan amount can be experimented with to programmatically calculate the required or affordable monthly payment.

During manual analysis, such as graphing of the data, use is made of mainly the values in the table rather than units in calculations, as the number of data points may me much.

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Compared to the rod of length L, the rod of length 2L has The same stress and same strain.

Since we know that Tensile Stress is determined by the relation :

Tensile Stress =  [tex]\frac{F}{A}[/tex]

Where F is the force applied and A is the circular area, which will definitely remain same for both of the rods as they have same diameter.

aslo the Tensile Strain, which is dependent on the young's modulus and stress which would remain same for both of the rods as the material used is same and the stress is alo the same.

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All matter has volume but also impenetrability because it occupies space, and two objects cannot occupy a same space at the same time.

An object that occupies space and has inertia is said to be matter, which is composed of numerous types of particles. The different kinds of particles each get a unique mass and size, according to the fundamentals of current physics. The electron, proton, and neutron are three of the most prevalent instances of material particles.

Anything with mass and physical space is considered matter. Matter underlies everything that you can see and touch. The three primary types of matter are gases, liquids, and solids. It also possesses qualities that can be expressed through conductivity, magnetism, solubility, density, etc.

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The total momentum of the system is conserved if the system is isolated. option c.

Momentum :

formula of momentum is given as :

p= mv

where,

p = momentum of the body

m = mass of the body

v = velocity of the body

Total momentum offer system is equal to the vector sum of all the system's component masses.

A system that is an isolated system does not interact with its environment.

The total momentum of the system is conserved if the system is isolated. option c.

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The larger the frequency of a photon of light, the lower the energy of the photon.

The energy of a photon is proportional to its electromagnetic frequency. The energy of a photon depends on its wavelength in such a way that its energy is inversely proportional to its wavelength. The higher the frequency of photon energy, the greater its energy.

The energy carried by a single photon is referred to as photon energy. The amount of energy is proportional to the electromagnetic frequency of the photon and thus inversely proportional to the wavelength. The higher the frequency of a photon, the greater its energy. The longer the wavelength of a photon, the lower its energy. Frequency is defined as the number of complete wavelengths in a given unit of time. The frequency and energy (E) of a wavelength decrease as its size increases.

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Answer:

Explanation:

For this one I'd say D. Placing data into tables, charts, and graphs is the easiest way for scientists to quickly sort their dat...

The person's average force on the box is equal to F = 20 N.

The force applied by an object moving over a defined period of time at a defined rate of speed is known as the average force. Here, the word "average" is used to denote that the velocity is not instantaneous or precisely measured.

Given,

I = 5kg.m/s

t = 0.25s

We are aware that force is the same as the change in momentum over time. The impulse is equal to the change in momentum.

F = dP/dt

F = I/t

F = 5/0.25

F = 20N.

The person's average force on the box is equal to F = 20 N.

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Highest to Lowest temperature:

Planetary surface temperatures range from over 400°C on Mercury and Venus to below -200°C on distant planets. The factors that determine temperature are the complex balance of heat received and lost.

For these five planets, temperature correlates with distance from the Sun. The closer to the sun, the hotter the earth. Note, however, that this is not always the case, as the planet's temperature also depends on its reflectance and the strength of the greenhouse effect (if present). For example, although Venus is almost twice as far from the Sun, the average temperature on Venus is higher than on Mercury due to the greenhouse effect.

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The distance travel by the cyclists in the given time is 48 m.

Acceleration can be defined as the rate at which velocity changes with time, in terms of both speed and direction.

Acceleration is a vector quantity.

Initial velocity = 14 m/s

Final velocity = 18 m/s

Acceleration = final velocity- initial velocity / time taken

a = [tex]\frac{18 m/s - 14 m/s}{3 s}[/tex]

a = [tex]\frac{4}{3}[/tex] m/s^2

Now, for distance we can use distance formula

s = ut + 1/2 at^2

=14 × 3  + [tex]\frac{1}{2}[/tex] × [tex]\frac{4}{3}[/tex]  × 3^2

=42  + 6

=48 m

Hence, the distance travel by the cyclists is 48 m.

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The shortest distance in which the car can stop safely is 42.82 m

Define frictional force?

The force produced when two surfaces slide against and touch one another is referred to as frictional force.

The amount of force requiring them together and the surface texture have the biggest an impact on these forces. The amount of frictional force depends on the object's orientation and location.

In the question, given

Mass of the car m = 1500

Velocity of the car = 20 m/s

Maximum friction force the tires can provide without skidding = 7000 N

Analysis of the motion of a car with mass m braking on gravel road with maximum friction force f is being done.

Newton's second law, which combines acceleration a, force f, and mass m as follows, will be used to solve this issue:

a = f/m

The second equation we'll employ combines the distance s, the speed v, and the acceleration a:

Δv^2 = 2aΔs

A force causes an item to accelerate, as stated by Newton's second law. Similarly, applying brake pressure to a moving object will result in a negative acceleration termed as a, which will eventually cause the object to stop.

Therefore we calculate acceleration a using

F = ma

a = F/m

  = 7000/1500

  = 4.67 m/s^2

We will utilize the kinematic equation to extract and determine the value of the stopping distance now that we have established the amount of acceleration when a car brakes.

​Δv ^2  =2⋅a⋅Δs

Δs = Δv ^2/2⋅a

    = 20 x 20 / 2 x 4.67

    = 42.82 m

Hence, the shortest distance in which the car can stop safely is 42.82 m

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Option (B) is not a clue to the formation of the solar system i.e. the number of small Rocky planets is equal to the number of large gas rich planets.

Option (A) Uranus is the 7th planet in our solar system that is mostly known for being the planet that is "lying on its back".Uranus rotational axis tilts almost 98° and it looks like the planet is rotating on its side.

Option (B) The gas giants have atmosphere that are mostly hydrogen and helium, they do not have a well-defined surface and there is no clear boundary between where the atmosphere ends and the surface starts. Sometimes, the gas planets are so much larger than the rocky planets, the atmosphere grow faster than the solid part of the planet. So , we can't say that the number of small Rocky planets is equal to the number of gas rich planets.

Option (C) Asteroids are large no. of small rocky and icy object that orbits the sun. There are lots of asteroids in our solar system.

Option (D) All the planets, asteroids,meteoroids and comets in the solar system orbits in the same plane and this is called heliocentric orbit. During the solar system's formation, the planets formed out of a disk of dust which surrounded the sun, because that disk of dust was a disk, all in a plane, all of the planets formed in a plane as well and the planets and moons orbits in the same plane.

Option (E) Most moons are captured from bits of rocks left over from the formation of the planet but our moon is probably the result of a very big bit of rock hitting the early earth and splitting into two and this results in the formation of our natural satellite moon which is 3,84,000km away and that's why Earth has an unusually large moon.

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