Someone in a car going past you at the
speed of 45 m/s drops a small rock from a
height of 2.1 m.
How far from the point of the drop will the
rock hit the ground? The acceleration due to
gravity is 9.8 m/s Answer in units of m.

Answers

Answer 1

Answer:

The rock hits the ground 29.25 m far from the point of drop.

Explanation:

We know,

s = ut + 1/2 at²

to find the time taken for the rock to hit the ground, where u is 0 and a = g,

2.1 = 4.9t²

t = 0.65

The horizontal distance covered in this time:

distance = speed x time

d = 45 x 0.65

d = 29.25 m


Related Questions

explain why the ir thermal image of the heated plate at a uniform temperature looks different in temperature scales

Answers

Due to gradient difference ir thermal image of the heated plate at a uniform temperature looks different in temperature scales

In order to clarify field studies pertaining to animal ecology, thermal imaging is a very effective remote sensing technique for a variety of reasons. A wide range of platforms, including land, water, and air-based vehicles, are used to collect thermal imaging data in real time at the speed of light. It is superior to visible imaging technologies because it can detect animals in a wide range of typically problematic atmospheric conditions because thermal radiation can penetrate smokes, aerosols, dust, and mists more effectively than visible radiation. It is a completely passive imaging method that works in both daylight and darkness. As a result, there are fewer disruptions and stressful disturbances to wildlife while data collection is taking place. Because it contrasts the emissivity of the animal with its background rather than comparing temperatures, it can detect animals that are colder, warmer, or the same temperature as their background.

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You need to get to the post office, 200 meters away, and you can walk at about 2.5 m/s. How much time will it take to get to the post office?

Answers

200 divided by 2.5 equal 80 probably

Which statements are explained by Newton’s law of universal gravitation?
//Heavier objects fall faster than lighter objects.
//The strength of Earth’s gravity decreases as an object gets farther from Earth.
//The strength of gravity depends on an object’s mass.
//Mass and weight are the same quantities.

Answers

Answer:

Below

Explanation:

The strength of Earth’s gravity decreases as an object gets farther from Earth.   <===== this is the only statement that is true

Answer:  (There are two statements)

The strength of Earth's gravity decreases as an object gets farther from Earth.

The strength of gravity depends on an object's mass

Explanation:

A small car and a semi-truck have the same total mechanical energy. Which if the following cannot be true?

Answers

The answer that makes most sense is D. Hope this helps

The car is going the same speed as the truck and the truck and car are at the same height can not be true. Therefore, option (B) is correct.

What is mechanical energy?

Mechanical energy can be defined as the sum of potential energy and kinetic energy that is used to do work. Mechanical energy defines the energy of a body because of its position or motion.

The total mechanical energy can be considered conserved when the forces doing work are conservative in nature. The energy changes between different kinds of potential energy and kinetic energy but the total energy of the system remain constant.

Kinetic energy and the potential energy of the car and the semi-truck will depend on the masses of the objects. The semi-truck must have a greater mass than the car. Therefore, the car and the semi-truck must have different values of speed and height if they have the same total mechanical energy.

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how are the waves generated in the spectrum​

Answers

By radioactive atoms and in nuclear explosions.

Which condition would exist for the length of day and night to be equal all year long

Answers

Answer:

the Equionox

Explanation:

there are only teo times of the year when the earths axis

is tilted neither toward nor away from the sun, resulting on a nearly equal amount of daylight and darkness at all latitudes. these events are referred to as equionoxes

If a kiloparsec (kpc) is equal to 1000 parsecs, how many light years is a kiloparsec
equal to?
(1 point)
O 3, 260 light years
O 3.26 light years
O 3 million light years
O 2, 260 light years

Answers

If a kiloparsec (kpc) is equal to 1000 parsecs, light years is a kiloparsec equal to: 3, 260 light years.

What is light years?

The distance that light travels in a light-year is one year. At 186,000 miles (300,000 kilometres) per second and 5.88 trillion miles (9.46 trillion kilometres) per year, light travels through interstellar space.

Since a light-year is the maximum distance light can travel in one year and nothing can move faster than that, the answer appears to be 13.8 billion light-years.

Thus, 3,260 many light years is a kiloparsec.

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½ pounds of butter to make one batch of cookies how many Kilograms of
butter is needed to make 12 batches of cookies? Dimensional analysis

Answers

One batch of cookies need 1/2 pounds or 0.21 Kg. Thus, 12 batches of cookies need 2.61 kg of butter.

What is one pound of mass?

Mass of a substance is the measure of its total amount. Mass of a substance can be expressed in g, Kg, pounds, lbs etc. Each units can be interchanged with certain relations.

One pound of mass = 0.435 Kg.

Thus, 1/2 pound = 0.435/2 = 0.21 kg.

Given that one batch of cookies need 1/2 pounds or 0.21 Kg. Hence, the amount of butter need to prepare 12 batch of cookies is :

= 12 × 0.21 Kg = 2.61 kg.

Therefore, the mass of butter required for 12 batches of cookies is 2.61 Kg.

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Question 13 of 25
Which of the following changes would make a heat engine waste more
energy as heat?
OA. A decrease in its exhaust temperature
OB. An increase in work done
OC. A decrease in randomness
OD. A decrease in its operating temperature

Answers

Answer:

D. A decrease in its operating temperature

An observer moves to the left with some velocity, v, at the same time a sound wave source moves to the left with twice the velocity of the observer. How will the frequency of the source be shifted as it passes the observer?
The observed frequency will be greater than the source’s frequency.
The observed frequency will be less than the source’s frequency.
The observed frequency will be the same as the source’s frequency.
The source never passes the observer.

Answers

The observed frequency will be greater than the source’s frequency (option - A) is correct answer.

What happens if both the observer and the sound source move?

If the source and observer are moving simultaneously in either case—moving observer or moving source—you'll notice that the frequency increases. The frequency decreases if they are drifting apart. Whether the source is moving or the observer is moving will affect how much the frequency changes.

Although the waves move at the same speed, the frequency that is observed is affected by any relative movement between the source and the observer. The wavelength changes along with the observed frequency. When an observer and a source are moving in the same direction, the frequency rises and the wavelength falls.

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what initial speed must an alpha particle have to just touch the surface of a gold nucleus before being turned back? assume the nucleus stays at rest.

Answers

Since the closest approach distance is 39.5 fermi, the initial speed is in a head-on collisions between an alpha particle and a gold nucleus (Z=79).

What is alpha?

The Greek alphabet begins with the letter alpha. Its value is one in the Greek number system. The word "ox" in the West Semitic language, aleph, is derived from the Phoenician letter alpha. The Latin letter A and the Cyrillic letter A are examples of letters that evolved from alpha.

In physics, alpha is a variable that is used for numbers that could be different from one another. Some examples of quantities using are: An isotope of helium, the alpha particle is made up of two protons and two neutrons. kg is the unit of mass. A metre is a unit of length, and a second is a unit of time.

Why do we use alpha and beta and how it is calculated?

The two components of a formula used to describe the results of stocks & investment funds are alpha and beta. Beta is a metric for comparing volatility to a benchmark, like the S&P 500. After controlling for erratic variations and market-related volatility, alpha seems to be the return rate on an investment.

Rf - beta - Rf = alpha (Rm-Rf)

R is a symbol for portfolio return. The risk-free return rate is denoted by Rf. The systematic risk of the a portfolio is represented by beta. According to a benchmark, Rm stands for the market return.

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3
1 point
An archer fires an arrow at 86m/s and an angle of 34° above the ground. What is the horizontal velocity?
71.30 m/s
48.09 m/s
86 m/s
65.82 m/s

Answers

Answer:

Below

Explanation:

VERTICAL velocity will be   v  sin 34

HORIZONTAL velocity will be   v cos 34  = 86 cos 34 = 71.3 m/s

newton's second law in 1 dimension: a net force of 125 n is applied to a certain object. as a result, the object accelerates with an acceleration of 24.0 m/s2. the mass of the object is

Answers

The mass of the object  when  a net force of 125 n is applied to a certain object is  5.2 kg

Newton's second law in one dimension states that the net force acting on an object is equal to the product of the object's mass and its acceleration. In mathematical form, the law is expressed as:

F = ma

Where F is the net force, m is the mass of the object, and a is the acceleration of the object.

In this case, we are given that a net force of 125 n is applied to an object and that the object accelerates with an acceleration of 24.0 m/s2. We are asked to find the mass of the object.

We can solve for the mass using the equation above:

m = F / a

= 125 n / 24.0 m/s2

= approximately 5.2 kg

Therefore, the mass of the object is approximately 5.2 kg.

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A light-weight potter's wheel, having a moment of inertia of is spinning freely at 40. 0 rpm. The potter drops a small but dense lump of clay onto the wheel, where it sticks a distance 1. 2 m from the rotational axis. If the subsequent angular speed of the wheel and clay is 32 rpm, what is the mass of the clay?.

Answers

The mass of the clay that spinning freely with a speed of 40.0 rpm sticks to a distance of 1.2 m from the axis of rotation and the subsequent angular velocity of the wheel and the clay 32 rpm is 4.2 kg.

Law of conservation of angular momentum

The law of conservation of angular momentum is an analogy of the law of conservation of linear momentum. If we look back at Newton's II law for translational motion, a similar relationship will apply to the law of the conservation of momentum.

The law of conservation of angular momentum is a law that states the amount of momentum before and after producing the same or constant collision.

The equation is:

I₁ω₁ = I₂ω₂

We have,

Initial angular speed of the system = 40.0 rpm ⇒ ω₁

Final angular speed of the system = 32 rpm ⇒ ω₂

This question is incomplete, it should be the moment of inertia of potter's wheel = 24 kgm²  ⇒ I₁ = I₂

Distance of clay from axis of rotation = 1.20 m ⇒ R

So, to determine the mass of the clay we can use conservation of angular momentum:

I₁ω₁ = I₂ω₂

(24) (40) = (24 + m (1.20)²) (32)

m = 4.2 kg

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a) Calculate the percent efficiency for an electric motor that uses 15 000 J of energy to produce 11 500 J of energy. How much waste is produced?

Answers

Answer:

76.67% efficient

Explanation:

11500/15000*100

A car traveling at 70 m/s comes to a complete stop in a time of 50 sec. What is the car's acceleration?

Answers

-1.4m/s² is the negative acceleration when the car completely stops in a time of 50sec.

v=u+at in this v= final velocity u=  initial velocity , a = acceleration of the car and t= time

initial velocity of car u= 70m/s

final velocity of the car is v= 0 m/s after stop the car is in rest position

time t =50s, now substitute these values in equation

0=70+a(50)  which is -1.4 m/s².

here we got the answer in negative acceleration. Which is called as Deceleration.

Hence-1.4m/s² is the negative acceleration when the car completely stops in a time of 50sec

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stars with more than 15 times the mass of our sun usually evolve from the main sequence to red giants

Answers

Stars with a mass greater than 15 times that of the sun typically transition directly from the hr diagram to the red giant stage while maintaining a nearly constant luminosity.

Constant means what?

A quantity that is supposed not to shift value in a particular mathematical debate is one that has a specific amount in a specific context, is true globally, or is a feature of some material or instrument.

What symbol represents a constant?

A digit (0–9) or a period serves as the initial of a constant sign. A constant symbol's value cannot be altered. It is merely the string made up of the symbol's characters, all lowercase alphabetic characters having been converted to uppercase.

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a jet is flying in a direction 30o north of east with a speed of 430 mph. what are the north and east components of its velocity?

Answers

Both of the Northward and also the Eastward components of a velocity will be equal.

What is the straightforward meaning of velocity?

The displacement that such an object as well as particle experiences with regards to time is expressed vectorially as velocity. The metre per second (m/s) is the accepted unit of flow speed (also known as speed).

What are the SI unit and velocity formula?

The entire displacement of objects divided by the overall time elapsed gives the object's average velocity. It is supplied by. Average velocity is calculated as total displacement divided by time. M s-1, or m/s, is the SI unit for average velocity. M L T-1 provides the volumetric formula for the same.

Briefing:

That jet is traveling at 430 mph at the an angle of 30 degrees to a north, therefore,

xj = (430 mph) sin 30 = 215 mph

yj = (430 mph) cos 30 = 372 mph

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Two identical objects go around circles of identical diameter, but one object goes around the circle twice as fast as the other. The centripetal force required to keep the faster object on the circular path is.

Answers

Answer:

a

Explanation:

a mosquito flying over a highway strikes the windshield of a moving trunk. compared to the magnitude of the force of the truck on the mosquito during the collision, the magnitude of the force of the mosquito on the truck is

Answers

The magnitude of the force of the mosquito on the truck is same as the magnitude of the truck on the mosquito.

When we push or pull an object, then we say that a force is applied to it. Depending on its direction, the force might be either positive or negative.

The Newton's third law of motion states that if a force is applied to an object by an external agent, then the object applies the same magnitude of the force on the agent but that this force is in the opposite direction to the original force direction. So, forces always occur in a pair.

Even though the two forces in a pair act in different ways on distinct objects, they are equal.

In the given question, when the mosquito hits the shield of the truck then it applies a force on the car, and the car also applies the same magnitude of the force on the mosquito.

Thus, the force on the mosquito by the truck has the same magnitude as the force on the truck by the mosquito.

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hat is the volume rate of flow of water from a 1.90- cmcm -diameter faucet if the pressure head is 10.0 mm ?

Answers

With a pressure head of 13.0 m and a 1.90 cm diameter tap, the volume rate of water flow is about. 3.97 × 10⁻³m³/s.

Given:

The faucet's diameter (d) is 1.90 cm (0.019 m).

Pressure head (h) = 13.0 m

The formula for the volume rate of flow (Q) through a pipe or faucet is given by:

Q = A × v

The radius of the faucet (r) is half of the diameter:

r = d / 2 = 0.019 / 2 = 0.0095 m

The cross-sectional area of the circular opening is given by:

A = π × r²

v = √(2 × g × h)

v = √(2 × 9.81 × 13.0)

v = √(254.46)

v = 15.95 m/s

Now, we have both A and v. Let's calculate the volume rate of flow (Q):

Q = A × v

Q = π × (0.0095)² × 15.95

Q = 3.97 × 10⁻³m³/s

With a pressure head of 13.0 m and a 1.90 cm diameter tap, the volume rate of flow of water is therefore about. 3.97 × 10⁻³m³/s.

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The complete question is:

What is the volume rate of flow of water from a 1.90- cm -diameter faucet if the pressure head is 10.0 mm?

1. What is the atomic mass of the new atom?
2. What is the atomic number of the new atom?
3. What is the symbol of the new atom?
4. What type of decay is demonstrated here?

Answers

1. The atomic mass of the new atom be 252. Option (d) is correct.

2. The atomic number of the new atom be 100. Option (j) is correct.

3. The symbol of the new atom be Fm.  Option (e) is correct.

4. Beta decay is demonstrated here. Option (g) is correct.

What is Beta decay?

A proton can change into a neutron or vice versa inside the radioactive sample's nucleus through a process known as beta decay. The radioactive sample's nucleus can approach the ideal neutron/proton ratio as closely as feasible through processes like beta decay and alpha decay.

The nucleus releases a beta particle during this process, which can either be an electron or a positron. Keep in mind that a proton can become a neutron or a neutron can become a proton. To follow the law of charge conservation, electron and positron are created. The weak contact that leads to beta-decay.

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In this scenario a battery is used to supply chemical potential energy. The potential energy is transformed and produces kinetic energy. The battery causes a fan to spin and that kinetic energy can also be described as mechanical energy. Check out the values for each: 100 J potential energy results in 75 J of kinetic energy. What conclusion can be drawn from the energy transformation diagram?
Responses
A The chemical potential energy is transformed into 75J of kinetic energy and 25J of heat energy.The chemical potential energy is transformed into 75J of kinetic energy and 25J of heat energy.
B The energy transformation results in 25J of energy being lost.The energy transformation results in 25J of energy being lost.
C The 100J of chemical potential energy releases 25J as friction and 75J of mechanical energy. The 100J of chemical potential energy releases 25J as friction and 75J of mechanical energy.
D Not all of the chemical potential energy is converted; 25J remains as potential energy.

Answers

The conclusion that can be drawn from the energy transformation diagram is "the chemical potential energy is transformed into 75J of kinetic energy and 25J of heat energy".

option A is the correct answer.

What is the law of conservation of energy?

The law of conservation of energy states that energy can neither be created nor destroyed but can be converted from one form to another.

This implies that energy is always conserved as it be converted from one form of energy to another. Such as;

Potential energy to kinetic energyKinetic energy to potential energyChemical energy to electrical energyElectrical energy to chemical energyElectrical energy to heat energyElectrical energy to light energy, etc

In the given scenario such that 100 J of  potential energy is transformed to produce kinetic energy and the battery causes a fan to spin using 75 J of kinetic energy converted from the 100 J of potential energy.

We can conclude the following based on the given scenario;

energy conversion takes placesenergy is conservedall the potential energy is converted into kinetic energythe remaining energy (25 J) is converted into other form of energythe possible form of energy of the 25 J is heat

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storms in the south pacific can create waves that travel all the way to the california coast, which are 12,000 km away. how long does it take them if they travel at 18.3 m/s?

Answers

we may estimate that the storm's effects will last for about 9.3 days.

We were informed that a wave is produced in the south pacific ocean. Additionally, these phrases produce waves that have a 15 m/s speed and can travel 12,000 kilometres. These waves, which are produced in the southern Pacific, can travel this far. Therefore, we simply utilise the standard equation that T equals distance times speed at the time of combat. Therefore, we must translate this distance into metres. Thus, 12,000 times 1000 is greater than 15. As Pete lacks seconds, the results are revealed. Thus, this can be expressed as eight times ten, increased to five seconds. So let's convert to our words first. Therefore, in terms of us, we will find that this equals to ours be 222 points. In order to determine the approximate number of days, we need to divide the amount by 24. 9.3 approximately Therefore, we may estimate that the storm's effects will last for about 9.3 days.

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A roller-coaster goes over a 12 m tall hill then approaches a 30 m hill. What is the minimum velocity the roller-coaster would need when going over the 12 m hill to make it to the top of the 30 m hill?

254.8 m/s

15.96 m/s

Not enough information to answer

18.78 m/s

Answers

The minimum velocity the roller-coaster need when going over the 12 m  to make it to the top of the 30 m hill is equal to 18.78 m/s. Therefore, option (D) is correct.

What is the law of conservation of energy?

Energy can be transformed from one to another but can neither be created nor destroyed. Energy is present in nature in several forms such as heat, nuclear energy, electricity, chemical energy, and so on.

If every form of energy is considered, then the total energy of an isolated system remains constant. This law of energy applies to all types of energy in our universe.

From the law of conservation of energy, the energy of the roller-coaster goes:

[tex]{\displaystyle \frac{1}{2} mv^2 +mgh_1 = mgh_2[/tex]

Given the height of the first hill, h₁ = 12m

The height of the second hill, h₂ = 30 m

The gravitational acceleration, g = 9.8 m/s²

We can find the value of the minimum velocity of the roller-coaster from the above equation:

[tex]{\displaystyle \frac{1}{2} v^2 +gh_1 = gh_2[/tex]

0.5 × v²  + (9.8) × 12 = (9.8) × 30

0.5 v² = 176.6

v = 18.78 m/s

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what minimum volume must the slab have for a 42.0 kg woman to be able to stand on it without getting her feet wet?

Answers

0.525 m³ minimum volume must the slab have for a 42.0 kg woman to be able to stand on it without getting her feet wet.

How do you find the minimum volume?

Add the biggest possible inaccuracy to each metric, then multiply to get the biggest volume you can. Subtract the largest potential mistake of each measurement, then multiply, to determine the smallest volume that can be produced.

Briefing:

1000 kg/m³ = density of water

920 kg/m³ = density of ice

BF = Woman Weight + Slab Weight

Pvg = 42 + Pvg

V = 42 kg / (1000 - 920)

V = 42 / 80

V = 0.525 m³

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for a spacecraft operations for a several year long mission to the outer solar system, i should use:

Answers

Long-duration spacecraft use the potent rocket fuel LOX + LH as a propellant. The spacecraft's long-term survival in the outer solar system is ensured by the use of this propellant.

To be utilized on commercial space launch vehicles is the propellant Lox/LH2. For massive space rockets, liquid oxygen was the first, least expensive, safest, and ultimately favoured oxidizer. Its fundamental flaw is that it is only mildly cryogenic, making it unsuitable for military applications where speedy launch and storage of the missile's fuel are essential. All the top rocket thinkers agreed that liquid hydrogen was the theoretically ideal rocket fuel.

LH2 and LOX are fed into each engine's combustion chamber after being placed in the tanks and when the launch countdown approaches zero. When the propellant is lit, the hydrogen and oxygen react violently to create: water

O2 + 2H2 = 2H2O + Energy

Superheated water and enormous quantities of energy are released in this "green" process (steam). The water vapour expands and leaves the engine nozzles at speeds of 10,000 mph due to the hydrogen-oxygen reaction's intense heat.

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A 0. 25-kilogram baseball is thrown upward with a speed of 30. Meters per second. Neglecting friction, the maximum height reached by the baseball is approximately.

Answers

Answer:46m

Explanation:

which statement is true about the relationship between hubble's constant and the age of the universe? which statement is true about the relationship between hubble's constant and the age of the universe? the larger the value of hubble's constant, the slower the universe is expanding and the older the universe must be. the larger the value of hubble's constant, the faster the universe is expanding and the younger the universe must be. the larger the value of hubble's constant, the slower the universe is expanding and the younger the universe must be. there is no relationship between the value of hubble's constant and the age of the universe.

Answers

The correct statement is:

"The higher the value of the Hubble constant, the faster the universe is expanding and the younger it should be."

The Hubble's constant, named after American astronomer Edwin  Hubble, is a measure of the expansion rate of the universe. It is defined as the ratio of the speed at which a galaxy is moving away from an observer to its distance from the observer. We can use this constant to calculate the age of the universe by estimating how long it took the universe to reach its current size.

The higher the Hubble constant, the faster the galaxies are moving away from each other. This means that the universe is also expanding faster, so it should be younger. Conversely, a small value of the Hubble constant means that the universe is expanding slowly, and therefore must be older.

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One “day” on the moon is the same length as one month on
Earth.
Is this True or false??

Answers

Answer:

True

Explanation:

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