Considere que helicóptero para na altitude a que voava para largar uma caixa de 90 kg para o solo.

If you disregard air resistance and assume that the object is falling freely, it will take 7.82 seconds for the container to descend 300 meters to the earth.

Free fall is any motion of an item in which gravity has been the only force applied on it.

The thing that was dropped from the plane is falling freely.

The only force operating on the container, which accelerates it by a consistent amount regardless of air resistance, is gravity.

The formula for calculating the amount of time it will take an item to reach the floor when it is in free fall is as follows:

s = ut + ¹/₂gt²

where

h is the height above the ground = 300 m

Since the container starts at rest, its initial vertical velocity, u, is equal to zero.

g is the acceleration of gravity = 9.8 m/s²

t is the time = ?

The equation above becomes;

h = ¹/₂gt² since u is zero

Solving the equation for t:

t = √2h/g

t = √2 * 300 / 9.8

t = 7.82 seconds.

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The Complete question is:

A 415-kg container of food and water is dropped from an airplane at an altitude of 300m. First, consider the situation ignoring air resistance. Then calculate the more realistic situation involving a drag force provided by a parachute.

1. If you ignore air resistance, how long will it take the container to fall 300m to the ground?

1. Convert the mass of \pu{67.5 mg}67.5 mg67, point, 5, space, m, g to grams: 67.5 mg = 0.0675 g

2. Calculate the molar mass of \ce{sr}srs, r:Molar mass of \ce{sr}srs, r = 87.62 g/mol

Molar mass is a measure of the amount of mass contained in one mole of a given substance. It is expressed in grams per mole (g/mol) and is numerically equal to the atomic or molecular weight of the substance. The molar mass of a substance is calculated by adding together the atomic masses.

3. Calculate the number of moles:

n = m/M = 0.0675 g/87.62 g/mol = 0.0007704 mol

4. Calculate the number of atoms:

Number of atoms = n x Avogadro's number

= 0.0007704 x 6.022 x 10^23

= 4.24 x 10^20 atoms

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Answer:

Range formula:

R = V^2 sin 2θ / g

sin 2θ = R g / V^2 = 80 m * 9.80 m/s^2 / (30 m/s)^2 = .871

2θ = 60.6 deg

θ = 30.3 deg

Check:     30 * cos 30.3 = 25.9 m/s       horizontal speed

t = 80 m / 25.9 m/s = 3.08 sec        to reach target

H = Vy0 t - 1/2 g t^2

Vy0 = 30 * sin 30.3 = 15.1 m/s     initial vertical speed

H = 15.1 * 3.08 - 4.9 * 3.08^2 = 46.5 - 46.5 = 0    

Ball will be back at starting height after 3.08 s

1.4N

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W = Fd

7J = F * 5m

The force exerted by the cat on the toy mouse is 1.4N

The amount of work done is 7J

The displacement experienced by the object is 5m

We know that work done (W) = Force (F) × Displacement (D)

W= F×D

7= F×5

Therefore, F=7/5

F= 1.4N

Therefore, the force exerted on the object is 1.4N

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The sound waves become louder and more frequent as a police car approaches a person on the street. This person notices the siren's pitch rising. The sound waves become less frequent as they spread apart and accelerate away from the police car.

Therefore, even though the siren emits waves with a constant frequency, as it gets closer to us, the observed frequency rises and we hear a higher pitch. The observed frequency and pitch decrease as it moves away after passing us.

A police car's siren has a pure tone and operates at a frequency of 1125 Hz.

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The average speed they need to drive is around 5.64 miles per hour. The result is obtained by dividing the total distance by the total time taken.

Average speed is the overall speed of a moving object during a given amount of time. It can be expressed as

Avg speed = Total distance covered / Total time taken

Mr. and Mrs Ozawa are driving 496 miles away. The time they want to get there is 88 hours.

Find the average speed they need to drive!

We have

We would get

Avg speed = Total distance covered / Total time taken

Avg speed = 496 miles / 88 hours

Avg speed = 5.64 miles per hour

Hence, they need to drive with the average speed at around 5.64 mph.

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This means that the ball does not have any velocity when it is at the spring's equilibrium position.

Equilibrium is a state of balance where opposing forces or influences are equal and balanced. It is a situation where there is no tendency for change in a system. Equilibrium can be reached in a variety of situations in economics, physics, chemistry, biology, and other fields. In economics, equilibrium is the state at which the market prices of goods and services are stable and consistent with the amount of goods and services that are being supplied and demanded. In physics, equilibrium is a state where all forces acting on an object are balanced and no net force is present. In chemistry, equilibrium is a state where the rates of the forward and reverse reactions of a chemical reaction are equal. In biology, equilibrium is a situation where the forces of natural selection are balanced and no net change in the genetic composition of a population is observed.

The muzzle velocity of the ball can be calculated using the equation v = √2gy,
Where v is the velocity of the ball, g is the acceleration due to gravity, and y is the height of the spring's equilibrium position.
In this case, the muzzle velocity of the ball is equal to √2g*0, or 0 m/s, since the spring's equilibrium position is at y=0.
This means that the ball does not have any velocity when it is at the spring's equilibrium position.

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Motion is created by kinetic energy. K.E. = 1/2 mv2 can be used to calculate an object's kinetic energy.

Motion is the change in an object's location with relation to time. Motion is described mathematically using terms like displacement, velocity, distance, kinetic energy, and speed.

Kinetic energy is essentially the energy underlying motion and can be observed in the movement of objects or subatomic particles. Every atom or object in motion contains kinetic energy.

A human walking, a baseball flying through the air, food falling from a desk, and an alpha object in an electric field are all example of kinetic in action.

The equation for calculating the angular momentum of an object with mass m and motion is K.E. = 1/2 mv^2.

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The thing that scientists use to divide the geologic time scale is option C: Major divisions in the fossil records

Fossils are the remains or traces of ancient organisms that have been preserved in rock layers. Scientists study fossils to learn about the history of life on Earth, and the different types of fossils found in different rock layers can provide information about the different time periods in which those organisms lived.

Other methods, such as major changes in mineral deposits in the rock layers, evidence for catastrophic events in Earth's history, and major divisions in the sedimentary rock layers, can also provide information about different time periods, but the use of fossils is the main method for dividing the geologic time scale.

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HEV (Hybrid Electric Vehicle) configuration is a type of vehicle powertrain that combines a traditional internal combustion engine (ICE) with an electric motor.

HEV technology uses a battery to store electricity generated from the ICE, which is then used to power the electric motor when needed.

This can result in improved fuel efficiency and reduced emissions compared to conventional ICE vehicles.

Additionally, HEV configurations can often provide enhanced performance due to the combination of ICE and electric power.

HEV (Hybrid Electric Vehicle) configuration is a technology that combines a conventional internal combustion engine with an electric motor. This hybrid system is designed to provide improved fuel efficiency and reduce emissions.

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Answer:

100 N

Explanation:

For ONE bullet ( .025 kg)

 fired to 1000 m/s   in  .25 s   ( four per second)

     acceleration = 1000 m/s   /  .25 s = 4000 m/s^2

then F = ma

           = .025 kg * 4000 m/s^2 = 100 N

Physical health is the base of the triangle and is the most important part of the health triangle.

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When one south pole's magnetic field line comes close to another south pole, the second south pole's field lines will begin to bend away from the first south pole.

A bar magnet suspended in the Earth's magnetic field will naturally point north and south. Any pole that pursues the north is referred to as a north magnetic pole, such as the north-seeking pole of this sort of magnet. The south-seeking pole or any pole that resembles it is a south magnetic pole.

Like poles repel one another whereas opposite poles are attracted to one another. Therefore, when the south pole of a magnet is brought close to the north pole of a magnetic needle that is suspended freely, it will attract. A. When the South pole of a magnet is brought close to the North pole of a magnetic needle that is suspended freely, they will both attract one another.

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After 9 years, the account balance would be $528.28. The result is obtained by adding the amount of interest to the initial deposit.

The simple interest of an amount of money can be counted by the following formula.

I = P × r × t

I = A - P

Where

A savings account has the initial deposit of $425.00. It earns 2.7% simple interest per year. Find the final account balance after 9 years!

The amount of interest itself is

I = P × r × t

I = $425.00 × 2.7% per year × 9 years

I = $425.00 × 0.027 × 9

I = $103.28

The account balance after 9 years would be

I = A - P

$103.28 = A - $425.00

A = $425.00 + $103.28

A = $528.28

Hence, the final account balance after 9 years is $528.28.

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The orbital speed of the electron using the equation is 5.41 x 10^7 m/s.

Orbital speed is the speed of an object in orbit around a larger body, such as a planet or star. The speed of an object in orbit is determined by two factors: the mass of the central body and the distance of the object from the central body. If a body is more massive, the object in orbit must move faster to maintain its orbit. Similarly, if an object is closer to the central body, it must move faster to remain in orbit. Orbital speed is usually measured in kilometers per second (km/s). The orbital speed of Earth’s Moon, for example, is 1.022 km/s. Orbital speed is an important factor in space exploration, as spacecraft must achieve certain speeds to reach distant destinations.

The orbital speed of the electron can be calculated using the equation:
V = (2πr)/T
where r is the radius of the orbit, and T is the orbital period.
Assuming the orbital period is 2.2 x 10^-17 s, the orbital speed of the electron is:
V = (2π x 0.053 x 10^-9 m)/(2.2 x 10^-17 s) = 5.41 x 10^7 m/s

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In 4.16 seconds, 60 km/h speed can be achieved if the initial speed is 30 km/h and the acceleration is 2.0 m/s².

Initial speed, u = 30 km/h

Final speed, v = 60 km/h  

Constant acceleration, a = 2.0 m/s²

Converting the initial speed in m/sec = 30 × 5/18

u = 75/9 m/s

Converting the final speed in m/sec = 60 × 5/18

v = 150/9 m/s

By the first equation of motion, which is used to determine the final velocity of an object which has some constant acceleration.

v = u + at

t = (v-u)/a

t = [(150/9) - (75/9)]/2

t = 4.16 sec.

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Nuclei of H1 and nuclei of H2 are the only stable nuclei oh hydrogen.

Hydrogen is the first and most basic of all elements in the universe.

Radiation is spontaneously emitted from nuclei of H3 because this isotope of hydrogen is highly radioactive as compared to other isotopes of hydrogen namely; nuclei of H1 and nuclei of H2.

The nucleus of H3 also called as tritium contains one proton and two neutrons, while the nucleus of the common isotope H-1 (protium) contains one proton and zero neutrons, and the nucleus of H-2 (deuterium) contains one proton and one neutron.

Therefore H1 and H2 have much stable nucleus as compared to nuclei of H3.

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The actual velocity of the boat is 13.0 mi/hr at an angle 67.38° north-west respect to south bank.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

The actual velocity of the boat = √(12.0²+5.0²) mi/hr = 13.0 mi/hr.

The direction of the velocity of the boat w.r.t south bank = tan⁻¹(12/5) = 67.38⁰.

Hence, The actual velocity of the boat is 13.0 mi/hr at an angle 67.38° north-west respect to south bank.

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Answer:

To solve for the voltage drop at V₁, we can use Ohm's law, which states that the voltage drop across a resistor (V) is equal to the current (I) flowing through it multiplied by the resistance (R) of the resistor.

V = I * R

The information given in the question is as follows:

VT = 101.00 V

T = Unknown

R₁ = Unknown

V₁= Unknown

I₁=Unknown

R₂= Unknown

V₂= 33.00 V

I₂ = 12.00 Amperes

R₂ = Unknown

V₃ = 37.00 V

I₃ = 13.00 Amperes

R₃ = 12.00 Ohms

The first step is to calculate the current flowing through the circuit by using the formula Power= Voltage * Current

P = VT

I = P/VT = 101/101 = 1 Amperes

Now we can use Ohm's Law to find the voltage drop across R1:

V₁ = I * R₁ = 1 * R₁

To find the resistance of R1, we can use the formula:

T = V₁ + V₂ + V₃

R₁ = (T - V₂ - V₃) / I

Substituting the values,

101 = V₁ + 33 + 37

V₁ = (101 - 33 - 37) = 31 Volts

So, the voltage drop at V₁, which is the voltage drop at resistor one, is 31 Volts.

Explanation:

Answer:

cockroach

Explanation:

Because cockroach have only six legs and the surface area would be 6x (where x is size of foot) but in case of a spider who have 8 legs the area would be 8x since, 8x>6x the cockroach will leave deeper footprints

The rock gains 412 J of kinetic energy as it falls.

What is a kinetic example?

Any moving item uses kinetic energy, such as a person walking, a baseball being thrown, a piece of food falling from the a table, or a charged particle inside an electric field.

What makes it kinetic energy?

Describe kinetic energy. A particle or an item that is in motion has a sort of energy called kinetic energy. An item accumulates kinetic energy when work, which involves the transfer of energy, is performed on it by exerting a net force.

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B. tree rings. We can piece together the history of Earth's former climates thanks to Greenland & Antarctica, sediments from lakes and seas, and many more natural proxies records of climatic changes.

The temperature of the Earth has been clearly rising over the past several decades, according to ongoing thermometer temperature records.

Indirect examples of evidence include physical evidence such as bloodstains and other kinds of physical proof.Similar to forensic & scientific evidence, fingerprint evidence is also indirect.

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tree rings. We can piece together the history of Earth's former climates thanks to Greenland & Antarctica, sediments from lakes and seas, and many more natural proxies records of climatic changes.

The temperature of the Earth has been clearly rising over the past several decades, according to ongoing thermometer temperature records.

Indirect examples of evidence include physical evidence such as bloodstains and other kinds of physical proof.Similar to forensic & scientific evidence, fingerprint evidence is also indirect.

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Answer:

You need to plug in the values

(C) 100(-1/2)^0 = 100

100(-1/2) = -50

100(-1/2)^2 = -25

100(-1/2)^3 = 100 * -1/8 = -12.5

Answer:

Explanation:

3km

It strikes the wall normally with a velocity of v₁ = 30 m/s and rebounds with a velocity of v₂ = -20 m/s. We know that impulse is equal to the change in momentum. So, So, the impulse of the force exerted by the wall on the ball is 5 kg m/s.

a)x²+x+1=0

x=b±√b²-4ac/2a

x=-1±√-3/2=-1±√3i/2

b) z=-1/2+i√3/2

x=-1/2 y=√3/2 lies  

r=√x²+y²=√1/4+3/4-1

sin∅=√3/2 cos∅=-1/2

tan∅=√-3

since Z lies in Q  2nd arg(Z)=π-∅

∅=π-π/3=2π/3

Z=r(cos∅+isin∅)

=1(cos 2π/3+isin2π/3)

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According to the question The Answer is F = 7.008 x 10^-8 N. Because every item in the cosmos that has mass pulls on every other object with a gravitational force, there is a gravitational force.

The gravitational force, which is what pushes mass-containing objects toward one another. We frequently consider the pull of gravity from the Earth. Your body is kept on the ground by this force. However, all mass-bearing objects are pulled toward one another by gravity

The Newton's Law of Universal Gravitation According to Isaac Newton, the gravitational pull between any two objects is inversely proportional to the square of their separation (r) and is directly related to their respective masses (m 1 and m 2). The formula is

F g = G m 1 m 2/ r 2.

G is the universal gravitational constant in this equation.

G = 6.67 × 10 − 11 N ⋅ m 2 / k g 2 .

This is based on the assumption that two people are "standing" 2 meters apart in outer space, free from any other substantial gravitational forces.

F = Gm1m2/r^2

where r is the distance between the centers of mass.

G = 6.6743 × 10^-11 m^3•kg^-1•s^-2 (N•m^2•kg^-2)

m1 = 60 kg

m2 = 70 kg

r = 2 m

F = 6.6743 x 10^-11 N•m^2 kg^-2•(60•70) kg^2/ (2 m)^2

F = 7.008 x 10^-8 N

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The conclusion of the experimental result is as the amount of the ice added increases, the change in temperature increases.

option C.

The conclusion of the experimental result can be obtained as follows;

The change in the temperature for the mass of ice of 59.9 g is calculated as;

Δθ = 16 - 20.2

Δθ = - 4.2 ⁰C

The change in the temperature for the mass of ice of 60 g is calculated as;

Δθ = 44.2 - 48.1

Δθ = - 3.9 ⁰C

The change in the temperature for the mass of ice of 71.1 g is calculated as;

Δθ = 1 - 6.1

Δθ = - 5.1 ⁰C.

The change in the temperature for the mass of ice of 122.6 g is calculated as;

Δθ = 3.3 - 14.6

Δθ = - 11.3 ⁰C

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The velocity of the smaller marble after collision is -0.33 m/s.

Velocity is the rate of change of displacement.

To calculate the velocity of the smaller marble after collision, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values inton equation 1

Hence, the smaller marble take off at -0.33 m/s.

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So the car rolls a distance of 2.25 meters in 1.5 seconds.

To find the distance the car rolls in 1.5 seconds, we need to use the equation:

Distance = Initial velocity x Time + (1/2) x Acceleration x (Time^2)

Since the initial velocity of the car is 0 (it's rolling down the hill and not moving initially), we can simplify the equation to:

Distance = (1/2) x Acceleration x (Time^2)

Plugging in the values we have:

Distance = (1/2) x 2m/s^2 x (1.5s)^2

Distance = (1/2) x 2 x 1.5^2

Distance = (1/2) x 2 x 2.25

Distance = 2.25m

So the car rolls a distance of 2.25 meters in 1.5 seconds.

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