A projectile is fired with an initial speed of 25.5 m/s at an angle of 45° above the horizontal
on a flat field. Determine the maximum height reached.

The number of peas that fit in a gallon jar is 7279634.

Space is occupied by every three-dimensional object. Its volume serves as a gauge for this space. The space contained by an object's limits in three-dimensional space is referred to as its volume. 

Given parameters:

Diameter of peas: d = 0.1 cm

Volume of the jar: V = 1 gallon = 3785.41 cm³.

Hence, radius of a pea: r = 0.1 cm /2 = 0.05 cm.

Volume of each pea = 4/3 πr³ cm³ = 4/3 π (0.05)³ cm³ = 0.00052 cm³

Hence, estimate number of peas that fit in a gallon jar = 3785.41 /0.00052  = 7279634.

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Answer:

False. We have had MANY asteroids and comets collide into the earth in the time the earth has been created.

Explanation:

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the momentum of the 6 kg ball moving with haste of 2m/ s is 12 kgm/s.

In the question, we're given,

Mass = 6 kg

haste = 2 m/ s

According to the Newton's alternate law of stir it states that the instigation is the product of mass and the haste of the flyspeck. This instigation can be said as the measure of stir of the object. It's a vector volume and it has both magnitude and direction. It can be transferred. As the instigation of the system is conserved when no external force is applied on the system.

In this case,

momentum( p) = mv

Then,

m = mass

v = haste

momentum = 6 * 2

momentum = 12 kgm/ s

Thus, the momentum of the 6 kg ball moving with velocity of 2m/ s is 12 kgm/s.

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The momentum of the traveling truck is 30000 kgm/s.

We need to know about momentum to solve this problem. Momentum can be defined as the degree of difficulty to stop a moving object. It can be determined by

P = m . v

where P is momentum, m is mass and v is velocity.

Momentum also can be defined by kinetic energy

KE = 1/2 . m . v²

KE = P² / 2m

where KE is kinetic energy

From the question above, the given parameters are :

m = 1200 kg

v = 25 m/s

By using the momentum formula, we get

P = m . v

P = 1200 . 25

P = 30000 kgm/s

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Time passed between the moment the car left the table and the moment it hit the floor is 0.95 second.

Speed, amount that designates how rapid and in what route a point is moving. A point always actions in a path that is tangent to its path; for a round direction, as an instance, its route at any immediately is perpendicular to a line from the factor to the centre of the circle (a radius).

Speed is the time charge at which an object is moving along a path, at the same time as velocity is the fee and route of an item's movement.

Calculation:-

S = ut + 1/2 at²

1.83 = 0.5t²

t² = 1.83/0.5

   = 0.915

   = 0.95 Second

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Answer:

The acceleration would be 10m/s.

Explanation:

To find this out, use the formula:

A = speed/time:

30 divided by 3 = 10m/s.

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The airplane change in velocity be 120 m/sec

The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is acceleration.

The net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity whose strength or magnitude is determined by the norm and whose direction correlates with a plumb bob.

acceleration = velocity/time

Velocity = acceleration * time

Velocity = 60*2

Velocity = 120 m/sec

The airplane change in velocity be 120 m/sec

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If a child pulls a waxed wooden sled across dry snow at a constant speed with a 2.6 N force, the mass of the sled is 6.63 kg

Since the waxed wooden sled is pulled across dry snow at a constant speed,

a = 0

∑ Fx = m ax

F - f = 0

2.6 - f = 0

f = 2.6 N

f = μ N

N = m g

f = Frictional force

μ = Co-efficient of friction

N = Normal force

m = Mass

g = Acceleration due to gravity

μ = 0.04

f = μ m g

2.6 = 0.04 * m * 9.8

0.392 m = 2.6

m = 6.63 kg

Therefore, the mass of the sled is 6.63 kg

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Cheese is made of casein protein, which is originally made from milk and is high in protein. The texture of the cheese is determined by the quality of the milk, so cow's milk cheese differs from goat's milk cheese.

Diary products are made from milk, such as cheese, curd, yogurt, etc., but all of them have different nutrients. The quality of these dairy products depend upon the quality of the milk, as some milking animals have a higher concentration of fats in their milk than other animals. These dairy products are used in different industrial sectors, such as for making ice cream, chocolate, and different food products.

Hence, cheese is made up of casein proteins that are present in the milk.

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The momentum of the car is 36,400 kg-m/s.

Momentum is defined as the product of mass and velocity of an object. It can also be defined as the measurement of mass in motion. It is a vector quantity as it possesses both magnitude and velocity. Newton's second law of motion states that the rate of change of momentum is equal to the force acting on the particle.

Given that, mass of the object m = 1300 kg

speed of the car = 28 m/s

Now, let us find out, momentum p = m × v = 1300 × 28 = 36400 kg-m/s

Thus, the momentum of the car is found out to be 36400 kg-m/s.

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Answer: My answer is 2 N East

Explanation:

I chose this answer because since the 6 and 4 don't balance each other you have to subtract since it's unbalanced. So 6-4=2.

The height at which the gun is being held above the ground is 3.969 m.

In motion of object in physics and mathematics, we know that the formula for time taken is,

Time = Distance/Velocity

We are given;

Velocity; v = 207 m/s

Distance; d = 192 meters

Thus,

Time taken = 192/207

= 0.927 seconds

Due to acceleration due to gravity, the displacement of bullet along vertical direction y is gotten from newtons equation of motion,

y = ut + ¹/₂gt²

where,

u is initial velocity = 0 m/s

Thus,

y = 0 + ¹/₂(9.8)(0.9)²

y = 3.969 m

Thus, the height at which the gun is being held above the ground is 3.969 m.

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Sea creature that has the most momentum is Sea Turtle.

Momentum, manufactured from the mass of a particle and its pace. Momentum is a vector amount; i.e., it has each significance and route. Isaac Newton's 2nd regulation of movement states that the time fee of extrude of momentum is same to the pressure appearing at the particle. See Newton's legal guidelines of movement.

Momentum is described as the amount of movement of the frame.

It is measured by “mass × pace”, as momentum relies upon upon pace, and it relies upon at the route of the movement of the frame as well. Momentum is a vector amount due to the fact that pace is a vector at the same time as mass is scalar.

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Answer:

Gases obey the ideal-gas law at high temperatures and low pressures.

Explanation:

The surface temperature of the stars whose infrared radiation have a wavelength of  2 µm is 1.45×10³ K.

Temperature is the measure of hotness or coldness of a thing or place.

To calculate the temperature of the stars, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the surface temperature of the stars is 1.45×10³ K.

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(a) The work done by the applied force is 32.6 J.

(b) The work done by gravity on the block is 29.4 J.

(c) The magnitude of the normal force is 29.4 N.

The force applied to the block is determined by applying the formula for the net force on the block.

F(net) = 0

Fcosθ - mg - Fsinθμ = 0

Fcosθ - Fsinθμ = mg

F(cosθ - sinθμ) = mg

F = (mg) / (cosθ - sinθμ)

F = (3 x 9.8) / (cos26  -  0.2 x sin26)

F = 36.25 N

The work done by the applied force is calculated as;

W = Fd cosθ

W = (36.25 x 1) x cos(26)

W = 32.6 J

The work done by gravity on the block is calculated as follows;

W = mgd

W = 3 x 9.8 x 1

W = 29.4 J

The magnitude of the normal force is calculated as follows;

N = mg

N = 3 x 9.8

N = 29.4 N

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The order of the average surface temperature of the given planets as Mercury, Earth, Mars, Jupiter, and Neptune based on their distance from the sun.

The Solar System can be described as the gravitationally bound system of the Sun and the plants are the objects that orbit it. The solar system is formed 4.6 billion years ago from the gravitational collapse of a giant interstellar cloud.

Most of the mass of the solar system is contained in the Sun and the remaining mass is in the planet Jupiter. The four inner planets Mercury, Venus, Earth, and Mars are terrestrial planets, made primarily of rock and metal.

The two largest planets Jupiter and Saturn, are gas giants, made mainly of hydrogen and helium. The next two, Uranus and Neptune, are ice giants, made of volatile substances with hydrogen and helium, such as ammonia, water, and methane.

The average surface temperature of Mercury is 333°F (167°C), Earth 59°F (15°C), Mars -85°F (-65°C), Jupiter -166°F (-110°C), and Neptune -330°F (-200°C)

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The forces that acts on the person who sits on a chair is balanced.

We know that the free body diagram shows the forces that are acting on an object. We know that if the forces that are acting on an object are balanced, then the object does not move or accelerate.

If you sit on a chair, your weight and the normal reaction are exactly balanced as you sit on the chiar hence you do not move from the chain. As you rise from the chair, there is a small change in the forces as you move forward.

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Dr. Lee made his laboratory become one of the best laboratories in the world, through his experiment works.

Chemical dynamics is defined as the branch of science that deals with the study of mechanisms of chemical reactions and the rate of reactions.

Here,

Dr. Yuan Lee was a famous chemist at the University of California at Los Angeles. He shared the Nobel prize for Chemistry in 1986 with two of his colleagues in the field of development of chemical dynamics.

Dr. Lee had contributed an important ideas in the development of chemistry and the dynamics of chemical reactions, which eventually led to the Nobel Prize.

Dr. Lee was much interested in the field of ion-molecule reactions and the chemical dynamics during the research period itself. He published his thesis at the University of California, which involved the chemical ionization reactions of alkali metals. This brought him more acceptance and eventually more and more achievements at the University.

Even after winning the Nobel Prize in 1986, he continued to research in chemical reaction dynamics and won significant achievements. His eminent works in the field of experiments and dynamics in chemistry, Dr. Lee's laboratory became one of the best laboratories in the world.

Hence,

Dr. Lee made his laboratory become one of the best laboratories in the world, through his experiment works.

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The Momentum Calculator uses the formula

p = mv, or momentum (p) is equal to mass (m) times velocity (v). The calculator can use any two of the values to calculate the third.

The amount of motion a body has is referred to as its momentum.

Due to the fact that momentum depends both on velocity and the direction of the body's motion, it is measured as "mass velocity". Since mass is a scalar quantity but velocity is a vector, momentum is a vector quantity.

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A ball has a mass of 6 0 kg and a velocity of 10 ms, and its momentum: is p=6×2.2=13.2kg m/s. Q.

Mass, in physics, quantitative measure of inertia, fundamental assets of all rely. it is, in impact, the resistance that a body of remember gives to trade in its pace or position upon the application of pressure. The more the mass of a frame, the smaller the change produced with the aid of an applied force.

Mass is the amount of remembering in a physical frame. it is also a degree of the frame's inertia, the resistance to acceleration when a net force is applied. An item's mass additionally determines the electricity of its gravitational enchantment to different bodies. The SI base unit of mass is the kilogram.

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The nature of galaxies was not always understood. The halos of spiral galaxies appear reddish, and contain little star formation. There are three basic types of galaxies, The elliptical galaxies do not make new stars. Thus, the correct option is 1, 5, 6, and 7.

Astronomers have classified galaxies into the three major categories which are elliptical, spiral, and irregular. These galaxies spans a wide range of their sizes, from dwarf galaxies which contains as few as 100 million stars to giant galaxies with more than a trillion stars.

The following are explained by the families of galaxies which include:

1. The nature of galaxies was not always understood.

2. There are three basic types of galaxies.

3. Elliptical galaxies do not make new stars.

4. The halos of spiral galaxies appear reddish, and contain little star formation.

Therefore, the correct options are 1, 5, 6, and 7.

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The cost of operation for an A.C for 10 hours per day for a month will be 71,100 francs.

Power is the amount of energy transferred or converted per unit time. The unit of power is the watt, equal to one joule per second. Power is a scalar quantity.

Cost of operation for 10 hours a day;

Daily consumption = 3kW x 10 hours

Daily Consumption = 30kW

Since 1kWH = 79 francs;

Daily consumption amount = 30 x 79 francs

Daily consumption amount = 2,370 francs

Therefore, the monthly consumption (using 30days) will be;

2,370 francs x 30 = 71,100 francs

In conclusion, 71,100 francs will be spent in a month (30 days) to run the 3kW rated A.C for 10 hours a day at 1kWH.

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The mass of the object experimented on in this situations is 20 kg. So, option(C) is correct.

A force is something that pushes or pulls an object. The objects' interactions with one another are what causes push and pull. Force can also be expressed using words like stretch and squeeze.

When an object with mass is pushed or pulled, it changes its velocity, according to the definition of force in physics.

The product of mass (m) and acceleration (a) represents the amount of force (F). Mathematically speaking, the force equation or formula can be written as follows:

F = ma

According to given parameters:

Force = 30 N; acceleration = 1.5 m/s². So, mass = 30/1.5 kg = 20 kg.

Force = 70 N; acceleration = 3.5 m/s². So, mass = 70/3.5 kg = 20 kg.

Force = 85 N; acceleration = 4.25 m/s². So, mass = 85/4.25 kg = 20 kg.

Hence, the mass of the object experimented on in this situations is 20 kg.

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If Stas is pushing his car which has broken down and does 3 KJ of work against friction and moves it a distance of 12m, the friction force is 250 N

W = F d

W = Work done

F = Force

d = Distance

W = 3 KJ = 3 * 10³ J

d = 12 m

F = W / d

F = 3 * 10³ / 12

F = 0.25 * 10³

F = 250 N

Therefore, the friction force he has to push against is 250 N

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The parallax angle is the difference between the Earth's angular distance from a nearby star at different times of the year and six months later.

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The ball will land 0.312m away from the base of the table.

The equations of motion are used to establish the relationship between the acceleration, velocity, time, and displacement of a moving object.

The equations of motion are represented in the form of mathematical expressions as follows:

[tex]v = u + at\\S = ut +\frac{1}{2} at^2\\v^2-u^2= 2aS[/tex]

Given, the height of the table, h = 0.75 m

The horizontal speed of the ball, v = 0.8 m/s

The initial speed of the ball, u = 0

From the third equation of motion, calculate the time:

[tex]S = ut +(1/2)at^2[/tex]

[tex]0.75 = \frac{1}{2} (9.8) t^2[/tex]

t = 0.39 sec

The horizontal distance can be calculated from the formula of the velocity:

Horizontal distance = v × t = 0.8 × 0.39 = 0.312 m

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The intensity of a sound wave with a relative intensity of 13.7 dB is  5.01×10¹³w/m²(option -b).

The "decibel level" of a sound is a less formal term for the relative intensity level. Relative intensity level differs from intensity in that it employs a logarithmic scale to more closely resemble how people perceive loudness.

Given,

The relative intensity of the sound wave= 13.7dB.

To calculate the intensity of the sound wave, we will use the formula provided by.

B = log₁₀I/I₀

When we factor the value of B into the previously mentioned relation and solve for I/I0, we get:

13.7dB = 10×log₁₀I/I₀

solving,

I/I₀ = [tex]10^{13.7}[/tex]

I/I₀ = 5.01×10¹³w/m².

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The force of tension in the string at  the lowest point of the circular path is 2.1 N.

The centripetal acceleration of the mass is calculated as follows;

a = v²/r

where;

a = (1.33²) / (0.853)

a = 2.07 m/s²

The force of tension in the string at  the lowest point of the circular path is calculated as follows;

T = ma + mg

T = m(a + g)

where;

T = 0.1773(2.07 + 9.8)

T = 2.1 N

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The resultant displacement of the car is 97.1 km.

The resultant displacement of an object is the shortest distance between the initial position and final position of an object.

The initial displacement of the car = 80 km due east

The second displacement of the car = 80 km due north

The final displacement of the car = 25 km due west

The resultant displacement of the car is the shortest distance between the initial displacement of the car and the final displacement of the car.

resultant displacement = √(80² + 55²)

resultant displacement = 97.1 km

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