A cup falls off of a table from a height of 0.75m. What is the impact speed of the cup?

Answers

Answer 1

Answer:

3.822 m/s

Explanation:

You can solve this by using the kinematic equations:

[tex]v_{f} = v_{i}+gt[/tex]

[tex]d = v_it\times\dfrac{1}{2}gt^{2}[/tex]

Where:

Vf = final velocity (impact velocity)

Vi = initial velocity

g = acceleration due to gravity

d = distance traveled

t = time

Acceleration due to gravity on Earth is constant. Gravity accelerates objects towards the ground at 9.8m/s².

Initial velocity is always at 0 m/s in free fall. Let's see what we have as our given:

d = 0.75m

Vi = 0 m/s

g = 9.8 m/s²

Look at our equation for the impact velocity (Vf) with our current given plugged in:

[tex]v_{f}=v_{i}+gt[/tex]

[tex]v_{f}=0m/s+(9.8m/s^{2})(t)[/tex]

We still do not have time. That is where the second equation comes in. We plug in our values again in the secon equation and derive time:

[tex]d=v_{i}t+\dfrac{1}{2}gt^{2}\\\\0.75m=0m/s(t)+\dfrac{1}{2}(9.8m/s^{2})(t^{2})\\\\0.75m = 0+(4.9m/s^{2})(t^{2})\\\\\dfrac{0.75m}{4.9m/s^{2}}=t^{2}\\\\\sqrt{ 0.15s^{2}}=\sqrt{t^{2}}\\\\0.39s=t[/tex]

So our time is 0.39s. Now we use this in our first equation:

[tex]v_{f}=0m/s+(9.8m/s^{2})(t)[/tex]

[tex]v_{f}=(9.8m/s^{2}(0.39s)[/tex]

[tex]v_{f}=3.822m/s[/tex]


Related Questions

When does radioactive decay occur
A. When an atom gains electrons
B.when neutrons accumulate in the nucleus
C.when the nucleus decays
D.when an atom loses electrons

Answers

Answer:

C.when the nucleus decays

Explanation:

In chemical reactions, the outermost electrons of atoms are re-arranged somehow without the involvement of the nuclei of the participating atoms of the elements.

Nuclear reactions causes changes within the atomic nucleus. For every atomic nucleus, a specific neutron/proton ratio ensures stability. When the stability ratio differs an atom becomes unstable and splits into one or more other nuclei with the emission of small particles of matter. This is what radioactivity entails.

Radioactive decay occurs when the unstable nucleus of an atom loses energy by emitting radiation, transforming it into a different, more stable element. Option C, when the nucleus decays, is the correct answer.

Radioactive decay occurs when an unstable atomic nucleus loses energy by emitting particles or electromagnetic waves. Among the given options, C. when the nucleus decays, is correct. This decay leads to the creation of different elements, as the original atom changes its atomic number. Alpha decay, beta decay, and gamma decay are some of the ways this process can occur. In alpha decay, an atom emits an alpha particle (two protons and two neutrons), which is equivalent to the nucleus of a helium atom. Through these decay processes, a radioactive isotope, or radioisotope, transforms into a more stable atom.

What will occur when the trough of wave A overlaps the trough of wave B?

Answers

Constructive interference will occur, which means the waves will combine.

In destructive inference, the waves cancel each other out.

Hope this helps :)

Answer:

Constructive interference                  

Explanation:

The superposition of two wave is called interference phenomenon. After interference of wave, the amplitude of resultant wave can be more, less or remains the same.

The two conditions of interference are :

1. Constructive interference      2. Destructive interference  

According to given question, when the trough of wave A overlaps the trough of wave B constructive interference occurs. The amplitude of resultant wave is greater than the individual waves. Also, the energy of the resultant wave is more than the energies of wave A and wave B.

You have DNA samples from five different suspects. You know that all humans have very similar DNA. What feature of DNA allows you to match the DNA from one of your suspects to the crime scene sample?

Each person has unique genetic mutations
There are so many base pairs that there are individual differences
DNA rarely replicates so a person's DNA is always the same
Adenine pairs with a different base for each person

Answers

Answer:

The answer is positively B.

There are so many base pairs that there are individual differences.

Confirmed by my Forensics test today.

Explanation:

When the mass of the cylinder increased by a factor of 3, from 1.0 kg to 3.0 kg, what happened to the cylinder’s gravitational potential energy? It decreased by a factor of 3. It decreased by a factor of 2. It increased by a factor of 2. It increased by a factor of 3.

Answers

Answer:

It increased by a factor of 3.

Explanation:

The gravitational potential energy of an object is given by

[tex]U=mgh[/tex]

where

m is the mass

g is the gravitational acceleration

h is the heigth of the object relative to some reference point (for instance, the ground)

As we see from the formula, the gravitational potential energy is directly proportional to the mass, m: therefore, if the mass of the cylinder is increased by a factor 3, then the gravitational potential energy will also increase by a factor 3.

Answer:

It increased by a factor of 2.

Explanation:

Directions: WRITE a summary of the Newton’s Laws of Motion reading.
Your summary must correctly use the following academic language:
-Motion.
- inertia .
-acceleration interaction.

Answers

Answer:

In the Newton's first law of motion, a stationary body or that moving with uniform motion will only chnage its state if acted upon by other forces externally.This kind of resistance is caused by the force of inertia.In his second law of motion,when a body is acted by a force, the force will be equal to the product of mass and acceleration of the body.i.e F=ma. In the third law of motion, it explains that a body will exert an equal and opposite force when interacting with another body.Thus, every action force experiences an equal and opposite reaction force.Here the momentum of the bodies will be conserved.

An electric generator uses __________ to convert mechanical energy into electrical energy.

electromagnetic induction

magnetic conductance

electric dynamism

electric return

Answers

Answer:

Devices that convert mechanical energy to electric energy. ... An electric generator is a device that changes kinetic energy to electrical energy through electromagnetic induction. ... [Figure1]. Q: What might happen to the current produced by an electric generator if the poles of the magnet kept reversing?

Explanation:

An electric generator uses electromagnetic induction to convert mechanical energy into electrical energy.

To find the correct option among all the options, we need to know about the principle of electric generator.

What is electric generator?Electric generator generates current by converting mechanical energy to electrical energy.It contains a turbine that rotates due to water or air flow through it which leads to the conversation of mechanical to electrical energy.What is the principle of electric generator?The rotating turbine contains coils of wire that rotate along with the turbine that is kept inside a stable magnetic field.Due to the rotation of the coils, magnetic flux is induced through the coils and induced current is produced. This is called electromagnetic induction.

Thus, we can conclude that the option (a) is correct.

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Covalent Bonds usually bond atoms of which type of elements together?

A. METALS TO METALS
B. METALS TO NONMETALS
C. NONMETALS TO NONMETALS
D. METALS TO METALLOIDS

Answers

Answer: Nonmetals to Nonmetals

Covalent bonds hold non-metallic atoms together. These atoms have many electrons in their outermost level and have a tendency to gain electrons rather than to yield them.  

In this case the bond is formed by sharing a pair of electrons between the two atoms, one from each atom. Then, this pair of shared electrons is common to the two atoms and holds them together, so that both atoms acquire more stability.

Therefore the correct answer is C.

Compared with the peak wavelength given off by the Sun, what is the peak wavelength given off by a hotter star?
A. Shorter in wavelength and higher in energy
B. Shorter in wavelength and lower in energy
C. Longer in wavelength and higher in energy
D. Longer in wavelength and lower in energy

Answers

Answer:

A. Shorter in wavelength and higher in energy

Explanation:

The peak wavelength of a star can be found by using Wien's displacement law:

[tex]\lambda=\frac{b}{T}[/tex]

where

b is the Wien's displacement constant

T is the surface temperature of the star

From the equation, we see that the peak wavelength [tex]\lambda[/tex] is inversely proportional to the temperature: therefore, a star which is hotter then the sun (greater T) will have shorter wavelength.

Moreover, the energy of the emitted radiation is inversely proportional to the wavelength:

[tex]E=\frac{hc}{\lambda}[/tex]

where h is the Planck constant, c is the speed of light. Therefore, shorter wavelength means higher energy.

So, the correct answer is

A. Shorter in wavelength and higher in energy

Answer:

The answer is A. shorter in wavelength and higher in energy

Explanation:

PLEASE PLEASE HELP! this is on newton’s 2nd law! i will award 20 points and make you brainliest! ASAP PLEASE! ;)

Answers

Answer: The correct answer is B

Explanation: The string is pulling right and the string is unraveling causing it to accelerate left

Answer:

b

Explanation:

Dichloroacetic acid is a compound with the chemical formula of CHCl2COOH. What is most likely the chemical formula for the acetic acid part of the compound? ClCH CHCOOH Cl2CO COOH

Answers

Answer:

Dichloroacetic acid is a compound with the chemical formula of CHCl2COOH. What is most likely the chemical formula for the acetic acid part of the compound?

CHCOOH

Explanation:

The most likely chemical formula for the acetic acid part is; CHCOOH.

According to the question;

Dichloroacetic acid is a compound with the chemical formula of CHCl2COOH

We are however required to determine the most likely chemical formula for the acetic acid part of the compound.

By observation, the base compound is acetic acid which has a chemical formula; CH3COOH.

However, In Dichloroacetic acid, two hydrogen atoms on the methyl carbon are replaced by Chlorine atoms.

Ultimately, the most likely chemical formula for the acetic acid part is; CHCOOH.

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A book falls off a shelf that is 10.0 m tall. What is the velocity at which the book hits the ground?

Answers

Answer:

14 m/s

Explanation:

The motion of the book is a free fall motion, so it is an uniformly accelerated motion with constant acceleration g=9.8 m/s^2 towards the ground. Therefore we can find the final velocity by using the equation:

[tex]v^2 = u^2 + 2gd[/tex]

where

u = 0 is the initial speed

g = 9.8 m/s^2 is the acceleration

d = 10.0 m is the distance covered by the book

Substituting data, we find

[tex]v=\sqrt{0^2 + 2(9.8 m/s^2)(10.0 m)}=14 m/s[/tex]

life cycle of a medium mass star

Answers

Our sun is a medium mass star, so it wouldn't be too different from the sun's life cycle. It is born, lives for about 10 billion years and then dies. ... As a medium mass star nears the end of its life, it runs out of hydrogen which it has been fusing onto helium in its core for its whole life.

Which releases more energy, 100 grams of 100c water cooling to 50c, or 100 grams of iron at 100c cooling to 50c

Answers

Answer:Water

Explanation:

Final answer:

The 100g of water cooling from 100°C to 50°C releases more energy (5000 cal) compared to the 100g of iron cooling from the same temperature (535 cal). This is determined by the concept of specific heat capacity.

Explanation:

To determine which releases more energy, we'll need to consider the concept of specific heat capacity, a property that depends solely on the type of substance absorbing or releasing heat. This is what will be crucial in deciding whether the 100g of water cooling from 100C to 50C or the 100g of iron cooling from 100C to 50C releases more energy. The specific heat capacity of water is around 1.00 cal/g °C, while the specific heat of iron is found to be about 0.449 J/g °C, as per given statements.

Calculating the heat or energy (q) lost in the cooling process is given by the formula q=mcΔT, where m stands for mass, c represents specific heat capacity, and ΔT is the temperature change. For water, we have q = (100g)(1 cal/g °C)(50°C) = 5000 cal. For iron, we need to first convert the specific heat capacity to cal/g °C (1 J = 0.239 cal), giving us ~0.107 cal/g °C. So, q = (100g)(0.107 cal/g °C)(50°C) = 535 cal for iron.

As evident, the 100 grams of water cooling from 100°C to 50°C releases more energy (5000 cal) than the 100 grams of iron undergoing the same temperature change (535 cal).

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Help on the blank problem?

Answers

Answer:

0.03 s

Explanation:

The maximum force is 90 N, and the mass is 0.2 kg, so we can find the deceleration:

F = ma

-90 N = (0.2 kg) a

a = -450 m/s²

The initial velocity is 14 m/s, and the final velocity is 0 m/s, so the time is:

v = at + v₀

0 m/s = (-450 m/s²) t + 14 m/s

t = 0.03 s

The fastest she can slow it down to a stop without breaking it is in 0.03 s.

In a series circuit which of the following is the same throughout the circuit
a.voltage
b.resistance
c.current
d.none of the above​

Answers

Answer:

C. Current.

Explanation:

A serie circuit is a closed circuit with only one path to the current to flow. This mean that the current is the same throughout the circuit, the sum of the voltage drop in each load is equal to the voltage given for the voltage source. In this circuit if one load blow out, the current will stop flowing.

Mr. and Mrs. Tew attended this summer band concert to her their son play his violin. When they sat down in their seats, they noticed that there were dead moments. That is, places in the music when they could not hear anything! They decided to move and sit directly in front of the band in the third row. How can you explain the dead spots they experienced?

Answers

Answer:

The dead spot experienced was due to the effect of sound wave interference

Explanation:

Sound wave interference occurs when wave interact. They can interact constructive manner increasing each other's strength and rising the intensity of the final wave produced.The waves can also interact destructively reducing each other's strength and intensity.In some cases, destructive interaction causes a total cancelling of the waves resulting to places where no sound can be heard at all.This area is the dead spot.

how do you know gravitational force used by Earth on objects makes objects fall down?

Answers

Answer:

When you throw something up like a glass cup for example, it falls down and breaks, that is because of gravitational force

Explanation:

THE CUP BREAKS BECAUSE OF THE DOWN FORCE

An object with a mass of 120 kilograms is moving at a velocity of 30 m/s. What's its momentum?

A. 3,600 m/s/kg
B. 0.25 kg-m/s
C. 3,600 kg-m/s
D. 4 kg-m/s

Answers

I believe the correct answer is A

The momentum of the object is 3600 kg m/s.

Answer: Option C

Explanation:

Momentum is the measure of motion done by an object. It is a vector quantity. It is defined as measure of velocity at which object is moving. So the momentum is found to be directly proportional to product of mass (m) of the object and velocity attained by the object. Thus,

                      [tex]\text {Momentum of the object} = m \times \text { Acceleration }[/tex]

As the mass of the object is given as 120 kg and the velocity attained by the object is 30 m/s, then the momentum of the object will be

                     [tex]\text {Momentum of the object} = 120 \times 30 = 3600 \mathrm{kgm} / \mathrm{s}[/tex]

So, the momentum of the object is 3600 kg m/s.

Describe what happens when electrical impulses cross muscle fibers

Answers

Answer:

When the electrical potential reaches a threshold, an actual potential occurs in the muscle fibers.

Explanation:

A muscle fiber is a special type of a cell which can change its shape due to actin chains sliding across each other. This process then causes changes in the electrical potential of the muscle.

There are few types of muscle fiber that designed for specific type of muscles activity. Some of them involved in endurance exercises whereas others are best for the strength exercises. These muscles fibers are attached to bones allowing them to move.

The water pressure at the bottom of the Marianas Trench is approximately 1,100 kPa. With how much force would the water pressure at the bottom of the Marianas Trench push on a fish with a surface area of 0.50 m^2?​

Answers

Answer:

550 kN

Explanation:

Force is equal to pressure times area.

F = AP

F = (0.50 m²) (1,100,000 Pa)

F = 550,000 N

F = 550 kN

The phrases describes what layer of the atmosphere

Meteors burn up here
special lighting called sprites
noctilucent clouds form over north and south poles


1. exophere
2. ionosphere
3. mesophere
4. thermosphere

Answers

Answer:

the answer is Mesosphere

Explanation:

When a state legislature or the U.S. congress passes an act into law, it generally becomes known as which
*statute
. ordinance
. appointment
. executive order

Answers

Answer:

the answer is    . d

Explanation:

the answer is A.Statute

when two substances react chemically to produce a new substance, what is true of the mass of the two substances compared to the mass of the new substance ​

Answers

Final answer:

According to the law of conservation of mass, in a chemical reaction, the mass of the reactants is equal to the mass of the product; matter cannot be created or destroyed.

Explanation:

When two substances react chemically to produce a new substance, the law of conservation of mass states that the mass of the reactants (the substances that are reacting) equals the mass of the product (the new substance formed). In other words, the total mass of the substances before the reaction is equal to the total mass after the reaction has occurred. This principle was established through careful quantitative analysis of chemical reactions in the 1790s, and it is a fundamental concept in chemistry that indicates matter cannot be created or destroyed in a chemical reaction; it can only change forms.

the atmosphere's layers

1. The lowest stratum of the atmosphere
stratosphere
troposphere
mesosphere

2. Most of the earth's ozone is located in the
stratosphere
troposphere
mesosphere

3. Earth coldest temperature occur in the
stratosphere
mesosphere
troposphere

Answers

Answer:

1. The lowest stratum of the atmosphere

troposphere

2. Most of the earth's ozone is located in the  

stratosphere

3. Earth coldest temperature occur in the  

mesosphere

Explanation:

1: Troposphere

The troposphere is the lowest layer of the Earth's atmosphere. The air is very well mixed and the temperature decreases with altitude. Air in the troposphere is heated from the ground up. The surface of the Earth absorbs energy and heats up faster than the air does.

2: Stratosphere

Ozone is mainly found in two regions of the Earth's atmosphere. Most ozone (about 90%) resides in a layer that begins between 6 and 10 miles (10 and 17 kilometers) above the Earth's surface and extends up to about 30 miles (50 kilometers). This region of the atmosphere is called the stratosphere.

3: Stratosphere

As the mesosphere extends upward above the stratosphere, temperatures decrease. The coldest parts of our atmosphere are located in this layer and can reach –90°C. In the forth layer from Earth's surface, the thermosphere, the air is thin, meaning that there are far fewer air molecules.

give an example of Newton's 1st law​

Answers

Answer:

A ball moving until gravity pulls it back down to the ground

Explanation:

One example of Newton's first law is a crash test dummy moving forward during a sudden stop due to inertia. Another is a spinning top maintaining its motion without external forces like friction. Finally, a block would keep sliding on a table at constant velocity without friction, illustrating this law.

One example of Newton's first law, also known as the law of inertia, can be seen in a car crash test. Imagine a crash test where a car abruptly stops upon hitting a barrier. The crash dummy inside continues to move forward at the same speed and in the same direction as the car was traveling before the collision. This is because there is no external force acting on the dummy's body to change its state of motion, thus it keeps moving due to inertia, as stated by Newton's first law.

Another illustration is the behavior of a spinning top. A top will continue to spin at a constant speed in the absence of external forces such as friction. Once friction is introduced, it acts as an external force that gradually slows down the spinning top, demonstrating that without such forces, the object would maintain its motion indefinitely.

Finally, consider a block sliding on a table. The block will eventually come to a stop not because it naturally prefers to be at rest, but because of the force of friction acting between the block and the table. Without this friction or any other external force, the block would continue to slide at a constant velocity in a straight line as described by Newton's first law.

In terms of the scientific definition of work, magnetic fields can do work, but electric fields cannot.

Answers

In terms of the scientific definition of work, magnetic fields can do work, but electric fields cannot:

False

Answer:

FALSE

Explanation:

As we know that magnetic force is given by

[tex]\vec F = q(\vec v \times \vec B)[/tex]

so here magnetic force is always perpendicular to the velocity of the moving charge

so here we can say

[tex]\vec F . \vec v = 0[/tex]

so here since it is not producing any power so here rate of work done is zero which means it will not do any work

while in electrostatic force we know that

F = qE

so here force is not perpendicular to displacement or velocity so it will do work

A radioactive polonium sample has a half-life of 103 years. How much of a 100 g sample would remain after 412 years?

Answers

Answer:

6.25 g

Explanation:

The half-life of a radioactive isotope is the time needed for the mass of the sample to halve.

Here, we a radioactive polonium sample, whose half-life is

[tex]\tau_{1/2} = 103 y[/tex]

The mass of sample left after a time t is given by the equation

[tex]m(t) = m_0 (\frac{1}{2})^{t/t_{1/2})[/tex]

where

[tex]m_0 = 100 g[/tex] is the initial mass

[tex]\tau_{1/2} = 103 y[/tex] is the half-life

If we substitute t = 412 y , we find the mass of sample left:

[tex]m(t) = (100 g) (\frac{1}{2})^{412 y/103 y}=(100 g)(\frac{1}{2})^{1/4}=6.25 g[/tex]

Final answer:

After 412 years, approximately 6.25 grams of a 100 gram polonium sample would remain, given a half-life of 103 years.

Explanation:

The subject matter in this question concerns the half-life of radioactive polonium. A half-life is the time it takes for half of a sample of a radioactive substance to decay. For polonium, this is stated to be 103 years.

Given that the half-life of polonium is 103 years, a 100 g sample would reduce to half its size (50 g) after 103 years. After another 103 years (206 years total), this 50 g would reduce by half again to 25 g. After 309 years, the sample would half again, leaving 12.5 g. Finally, after 412 years (or roughly 4 half-lives), the remaining amount of the initial sample would be half of 12.5 g, which is 6.25 g.

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How does the intensity of a sound wave change if the distance from the source is reduced by a factor of 3?

Answers

Answer:

The intensity increases by a factor 9

Explanation:

The intensity of a sound wave follows an inverse square law, that means that it is inversely proportional to the square of the distance:

[tex]I\propto \frac{1}{r^2}[/tex]

where r is the distance from the source.

In this problem, the distance from the source is reduced by a factor 3, so the new distance is

[tex]r'=\frac{1}{3}r[/tex]

this means that the new intensity will be

[tex]I' \propto \frac{1}{r'^2}=\frac{1}{(\frac{1}{3}r)^2}=9\frac{1}{r^2}=9I[/tex]

So, the intensity will increase by a factor 9.

Answer:

The intensity increases by a factor of 9

Which is the correct symbol for an isotope of bromine with 35 protons and 38 neutrons?

Answers

Answer:

[tex]^{73}_{35}Br[/tex]

Explanation:

The correct symbol would be

[tex]^{Atomic Mass}_{Atomic Number}Br=^{35+38}_{35}Br = ^{73}_{35}Br[/tex]

The top number is the atomic mass of this form of Bromine. The bottom number is its position on the periodic table. The 73 is a bit light. Usually the weight is closer to 80.

Find c for 455 grams of metal that gives off 1638 J while changing temperature by 6C.

Answers

Answer:

c = 0.6 J/g°C

Explanation:

Heat is given by the formula;

Heat = mass× specific heat capacity × change in temperature

Mass = 455 g

Heat = 1638 J

ΔT = 6 °C

Therefore;

1638 J = 455 g× c × 6

c = 1638/(455×6)

c = 0.6 J/g°C

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