Ram jumps onto a cement floor from a height of 1m and comes to rest in 0.1sec.
Then he jumps onto a sand floor from a height of 9m and comes to rest in 1sec.
Find the ratio of forces of cement floor and sand floor.​

Answers

Answer 1

Answer:

3/10 F.

Explanation:

Height ( h ) = 1m

Time taken ( t ) = 0.1 second

Height² ( h² ) = 9m

Time taken² ( t² ) = 1 second

Solution,

F = ma

= m ( v - u ) / t

= m √2gh / t

now,

F/F² = √h/h² × t/t²

F¹ = 3/10 F.

answer !!


Related Questions

Two atoms of the same element only differ because one of the atoms has more electrons, making it an ion. Which statement is true? They have the same A-number and the same Z-number. They have the same A-number but different Z-number. They have a different A-number but the same Z-number. They have different A-numbers and different Z-numbers.

Answers

The correct answer is Option B. The statement "they have the same A-number but different Z-number" is true .

Atoms of the same element only differ because one of the atoms has more electrons, making it an ion.

This difference does not affect the mass of the atom, which is determined by the sum of its protons and neutrons, represented by the atomic mass or A-number.

The number of protons in an atom is called the atomic number or Z-number.

The Z-number of an element is unique to it. All the atoms of a given element have the same number of protons.

Thus, for example, all carbon atoms have six protons, making the Z-number of carbon 6.

However, different isotopes of an element can have different numbers of neutrons.

This means that they have a different atomic mass or A-number.

Therefore, they have the same A-number but different Z-number.

Therefore the correct Option is B.

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The radius of the circular path of an ion in a mass spectrometer is given by r=1/B √2Vaccelm/q. Use this equation to explain how a mass spectrometer is able to separate ions of different masses.

The radius of the circular path of an ion in a mass spectrometer is given by r=1/B 2Vaccelm/q. Use this

Answers

The mass spectrometer separates ions of different masses by utilizing the relationship between the strength of the magnetic field, the accelerating voltage, the charge-to-mass ratio of the ions, and the resulting radius of the circular path

What is the mass spectrometer?

From the formula in the question;

B is a symbol for the magnetic field's intensity as it is applied to the mass spectrometer.

The accelerating voltage used to move the ions is called Vaccelm.

The charge of the ion, specifically its charge-to-mass ratio (q/m), is represented by the letter q.

The mass spectrometer may selectively alter the radius of the circular route for various ions by varying the magnetic field's intensity (B). This makes it possible to spatially segregate ions with various masses based on their various radii. The ions' locations and masses can then be measured using detectors placed along the journey.

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how can scientific method solve real world problems examples

Answers

The scientific method is nothing more than a process for discovering answers. While the name refers to “science,” this method of problem solving can be used for any type of problem

A 24.4kg dog is running northward at 2.14m/s, while a 5.53kg cat is running eastward at 3.56m/s. Their 78.5kg owner has the same momentum as the two pets taken together. Find the direction of the owner's velocity. Find the magnitude of the owner's velocity.

Answers

The owner's velocity is in the opposite direction of the combined velocity of the dog and the cat, and its magnitude is approximately 0.916 m/s.

To solve the given problem, we can use the principle of conservation of momentum to find the direction and magnitude of the owner's velocity.

Let's denote the velocity of the dog as v1 (northward), the velocity of the cat as v2 (eastward), and the velocity of the owner as v (unknown).

According to the conservation of momentum, the total momentum before the interaction is equal to the total momentum after the interaction.

The total momentum before the interaction is given by:

Total momentum before = (mass of the dog * velocity of the dog) + (mass of the cat * velocity of the cat) + (mass of the owner * velocity of the owner)

Mass of the dog (m1) = 24.4 kg

Velocity of the dog (v1) = 2.14 m/s

Mass of the cat (m2) = 5.53 kg

Velocity of the cat (v2) = 3.56 m/s

Mass of the owner (m3) = 78.5 kg

Velocity of the owner (v) = unknown

Total momentum before = (24.4 kg * 2.14 m/s) + (5.53 kg * 3.56 m/s) + (78.5 kg * v)

The total momentum after the interaction is zero since the owner has the same momentum as the pets taken together.

Total momentum after = 0

Equating the two expressions:

(24.4 kg * 2.14 m/s) + (5.53 kg * 3.56 m/s) + (78.5 kg * v) = 0

Simplifying the equation:

(52.216 kg·m/s) + (19.6488 kg·m/s) + (78.5 kg * v) = 0

71.8648 kg·m/s + (78.5 kg * v) = 0

Solving for v:

78.5 kg * v = -71.8648 kg·m/s

v = -71.8648 kg·m/s / 78.5 kg

v ≈ -0.916 m/s

Therefore, the direction of the owner's velocity is opposite to the combined velocity of the dog and the cat, and the magnitude of the owner's velocity is approximately 0.916 m/s.

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air is a gas and the particles can be pushed closer toegether which is called

Answers

Gases are easily compressed, the particles have large spaces between them, so it is easy to push them closer together. Gases have very low densities, there are huge amounts of space between particles. Due to the large spaces between particles in a gas you can force the particles closer together using a plunger.

Ellie has a more complicated relationship with her body. She often experiences a gender identity that doesn’t align with her body. What might this way of feeling be linked to?
A. Misinformation
B. Gender Dysmorphia
C. Construed body image
D. Positive body image

Answers

Ellie's experience of a gender identity that doesn't align with her body is likely linked to gender dysphoria, a condition characterized by distress caused by the incongruence between one's internal sense of gender and assigned sex at birth.

The correct answer is option B.

Gender dysphoria refers to the distress or discomfort individuals may experience when their gender identity does not match the sex they were assigned at birth. It involves a deep-rooted sense of incongruence between one's internal sense of gender and the external physical characteristics.

It is important to note that gender dysphoria is not a result of misinformation or a lack of understanding. It is a genuine psychological condition recognized by medical and mental health professionals. Individuals with gender dysphoria often experience significant distress and may seek gender-affirming interventions, such as hormone therapy or gender-affirming surgeries, to align their physical appearance with their gender identity.

Misinformation, on the other hand, refers to inaccurate or misleading information, which may not directly relate to Ellie's experience. Construed body image and positive body image are also not directly linked to Ellie's situation. Construed body image refers to the way individuals perceive their own bodies, which may be influenced by various factors, while positive body image refers to a healthy and accepting attitude toward one's own body.

In summary, Ellie's experience of a gender identity that doesn't align with her body is likely linked to gender dysphoria. Gender dysphoria involves distress or discomfort resulting from a mismatch between an individual's internal sense of gender and their assigned sex at birth.

Therefore, among the options provided the correct answer is option B.

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problem 1
A body whose mass is 50kg is raised to a height of 2m above the ground.what is it's potential energy? if the body is allowed to fall ,find the kinetic energy (a)when half way down (b)just before impact with the floor.
problem 2.
A trailer is pulling a car with a force of 900N on a level road .The car is moving at 70km/h.How much work is done by the trailer on the car in 15mns.
problem 3
the brake of a 1600kg vehicle travelling at 15m/sec on a level road are applied long enough to do 90KJ work. Find the speed of the vehicle.what is the amount of work required to stop the vehicle.?​​

Answers

(1a) The potential energy of the body is 980 J

(1b) The kinetic energy of the body halfway down is 490 J and

(1c) The kinetic energy just before impact is 9807 J.

(2) The work done by the trailer on the car is 15,750,000 J.

(3)The initial speed of the vehicle was 10.6 m/s and the work required to stop the car is 269.9 kJ.

What is the potential and kinetic energy?

Problem 1:

The potential energy of the body is given by the formula:

potential energy = mass x gravity x height

where mass = 50 kg, gravity = 9.8 m/s², and height = 2 m

So, potential energy = 50 x 9.8 x 2 = 980 J

When the body is halfway down, its height above the ground is 1 m. At this point, the potential energy is:

potential energy = mass x gravity x height

potential energy = 50 x 9.8 x 1 = 490 J

The total energy of the body (at any point) is the sum of its potential energy and kinetic energy.

Therefore, the kinetic energy of the body halfway down is:

kinetic energy = total energy - potential energy

kinetic energy = (50 x 9.8 x 2) - (50 x 9.8 x 1) = 490 J

Just before impact with the floor, the height of the body above the ground is zero, so the potential energy is also zero.

At this point, the total energy of the body is equal to its kinetic energy:

kinetic energy = (1/2) x mass x velocity²

where mass = 50 kg, and velocity = ?

To find the velocity, we can use the conservation of energy principle:

total energy at the top = total energy just before impact

potential energy at the top = kinetic energy just before impact

potential energy at the top = 50 x 9.8 x 2 = 980 J

kinetic energy just before impact = 980 J

So, (1/2) x 50 x velocity^2 = 980 J

Solving for velocity, we get:

velocity = √(2 x 980 / 50) = 19.8 m/s

Therefore, the kinetic energy just before impact is:

kinetic energy = (1/2) x 50 x (19.8)^2 = 9,807 J

Problem 2:

The work done by the trailer on the car is given by the formula:

work = force x distance

where force = 900 N, and distance = (70 km/h) x (15/60) h = 17.5 km

Converting km to meters, we get:

distance = 17.5 km x 1000 m/km = 17,500 m

So, work = 900 x 17,500 = 15,750,000 J

Problem 3:

The work done by the brakes is equal to the change in kinetic energy of the vehicle:

work done by brakes = change in kinetic energy

Let the initial speed of the vehicle be v m/s. Then, the initial kinetic energy of the vehicle is:

kinetic energy = (1/2) x 1600 x v²

After the brakes are applied, the final kinetic energy of the vehicle is zero (since the vehicle comes to a stop).

Therefore, the work done by the brakes is equal to the initial kinetic energy:

work done by brakes = (1/2) x 1600 x v²

Given that the work done by the brakes is 90 kJ, we can solve for the initial speed:

90,000 J = (1/2) x 1600 x v²

v² = 112.5

v = √(112.5) = 10.6 m/s

So, the initial speed of the vehicle was 10.6 m/s.

The work required to stop the car:

W = ¹/₂(1600)(15² + 10.6²)

W = 269,888 J = 269.9 kJ

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HELP PLEASE THIS IS URGENT!!!

HELP PLEASE THIS IS URGENT!!!

Answers

The neutron number of an atom X, which undergoes alpha, and beta decay reduces the neutron number by 6.  

Alpha decay is the nuclear process in which the parent nucleus emits an alpha or helium particle to form a daughter nucleus. When a particle emits an alpha nucleus, the nucleus loses its two protons and two neutrons. Beta decay is the nuclear process in which the parent nucleus undergoes the emission of electrons to produce a daughter nucleus.

Alpha decay decreases the atomic mass number decreases by 4 and the atomic number decreases by 2. In beta decay, the neutron is converted into a proton and the atomic number decreases by one. The neutron number is affected by alpha decay.

From the given,

X atom undergoes alpha decay. X -----> ₐ₋₂Xᵇ⁻⁴ + He₂⁴. The neutron number decreases by two.  ₐ₋₂Xᵇ⁻⁴ ----->    ₐ₋₂₋₂Xᵇ⁻⁴⁻⁴ + He₂⁴. The neutron number decreases by two.

When the X atom undergoes beta decay, ₐ₋₄Xᵇ⁻⁸---> ₐ₋₅Xᵇ⁻⁸ + ₋₁e⁰. The neutron number does not get affected. When the atom again undergoes alpha decay,  ₐ₋₅Xᵇ⁻⁸ ----->  ₐ₋₇Xᵇ⁻¹². Thus, the neutron number decreases by 6 when the atom undergoes three alpha decay.

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A pendulum with a mass of 1 kg is released from a height of 1.5 cm above the height of its resting position. How fast will the pendulum be moving when it passes through the lowest point of its swing?

Answers

Answer:

v = 0.54 m/s

Explanation:

The Principle Of Conservation Of Mechanical Energy

In the absence of friction, the total mechanical energy is conserved. That means that

Em=U+K is constant, being U the potential energy and K the kinetic energy

U=mgh

\(\displaystyle K=\frac{mv^2}{2}\)

When the mass (m=1 kg) of the pendulum is at the top of the path at a height of h=1.5 cm=0.015 m, its kinetic energy is 0 and its potential energy is:

U=1 * 9.8 * 0.015 = 0.147 J

That potential energy is completely transformed into kinetic energy at the bottom of the swing. The speed can be calculated by solving for v:

\(\displaystyle \frac{mv^2}{2}=0.147\)

Multiplying by 2 and dividing by m:

\(\displaystyle v^2=\frac{2K}{m}\)

\(\displaystyle v^2=\frac{2*0.147}{1}=0.294\)

\(v=\sqrt{0.294}\)

v = 0.54 m/s

5. Hilda is trying to move a 40 kg couch across a level floor and pushes with a horizontal force of
150 N, but the couch does not move. What is the minimum coefficient of static friction with the
floor? Assume the acceleration due to gravity is g = 9.8 m/s2

Answers

The minimum coefficient of static friction with the floor is 0.3846.

To find the minimum coefficient of static friction with the floor, we need to consider the forces acting on the couch. In this case, the force of gravity is pulling the couch downward with a magnitude of mg, where m is the mass of the couch (40 kg) and g is the acceleration due to gravity (9.8 m/s²).

Since the couch does not move, the force of static friction between the couch and the floor must be equal in magnitude but opposite in direction to the horizontal pushing force of 150 N.

Therefore, we have the equation F_friction = F_push, where F_friction is the force of static friction.

The force of static friction can be calculated using the formula F_friction = μ_s * N, where μ_s is the coefficient of static friction and N is the normal force.

Since the couch is on a level floor and is not accelerating vertically, the normal force N is equal in magnitude but opposite in direction to the force of gravity, which is mg.

Substituting the values into the equation, we have μs * mg = 150 N.
Solving for μs, we get μs = 150 N / (mg).
Substituting the given values, we have μ_s = 150 N / (40 kg * 9.8 m/s²).
Simplifying, we find that μs = 0.3846.

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What do you understand by the term "Eigen function and Eigen value" in quantum mechanics. Give an example each.​

Answers

In quantum mechanics, an eigenfunction is a function that satisfies a particular differential equation and is used to describe the behavior of a physical system. An eigenvalue is a scalar value that corresponds to an eigenfunction and represents the magnitude of a physical property of the system.

An example of an eigenfunction in quantum mechanics is the wavefunction, which is used to describe the probability distribution of a particle in a particular state. The wavefunction is an eigenfunction of the Schrödinger equation, which is a fundamental equation in quantum mechanics that describes the time evolution of a physical system.

An example of an eigenvalue in quantum mechanics is the energy of an atom in a particular state. The energy of an atom is an eigenvalue of the Hamiltonian operator, which is a mathematical operator that describes the energy of a physical system.

In general, eigenfunctions and eigenvalues play a central role in the analysis of quantum mechanical systems and are important tools for understanding the behavior of particles at the atomic and subatomic scales.

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1.00 kg of ice at -24.0°C is placed
in contact with a 1.00 kg block of a
metal at 5.00°C. They come to
equilibrium at -8.88°C. What is
the specific heat of the metal?

Answers

1.00 kg of ice at -24.0°C is placed in contact with a 1.00 kg block of a metal at 5.00°C. They come to equilibrium at -8.88°C.

We can use the principle of conservation of heat to solve this problem. The heat lost by the metal must equal the heat gained by the ice.

The heat lost by the metal is given by

Q1 = m1c1ΔT1

Where m1 is the mass of the metal, c1 is its specific heat, and ΔT1 is the change in temperature.

The heat gained by the ice is given by

Q2 = m2c2ΔT2

Where m2 is the mass of the ice, c2 is its specific heat, and ΔT2 is the change in temperature.

Since the two objects come to thermal equilibrium, we can set Q1 equal to Q2

m1c1ΔT1 = m2c2ΔT2

Solving for c1, we get

c1 = m2c2ΔT2 / (m1ΔT1)

By putting these values we get

c1 = (1.00 kg)(2.06 kJ/kg·K)(-24.0°C - (-8.88°C)) / [(1.00 kg)(5.00°C - (-8.88°C))]

c1 = 0.902 kJ/kg·K

Hence, the specific heat of the metal is 0.902 kJ/kg·K.

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PLEASE HELP ASAP!!!
You and your 3 friends are driving down the road. All the wheels go flat at the exact
same time, that's not good. You have to use a 2,100 N force to push the car 4 meters to the side of the road. How much work did you do on the car?
A. 525 J

B. 2,104 J

С. 8,400 J

D. zero work since the car broke down

Answers

Answer:

D. Zero

Explanation:

A machine can only do work if it is operational

Based on the diagram, what is the difference in how economic decisions are made in a mixed economy and a market economy? E.1.2
How Economic Decisions are Made
By the Government,
command
economy
By the Consumers
mixed
economy
market.
economy
O Consumers make all economic decisions in a mixed economy, while the government makes all economic decisions in a market economy.
Government and consumers make economic decisions in a mixed economy, while consumers make economic decisions in a market economy.
Government makes all economic decisions in a mixed economy, while consumers make all economic decisions in a market economy.
O Consumers make economic decisions in a mixed economy, while consumers and government make economic decisions in a market economy.

Answers

Based on the diagram, the correct statement is: Government and consumers make economic decisions in a mixed economy, while consumers make economic decisions in a market economy.

How do we explain?

In a mixed economy, economic decisions are made by both the government and consumers.

The government plays a significant role in regulating and influencing economic activities through policies, regulations, and interventions.

In market economy, economic decisions are primarily made by consumers. The market forces of supply and demand dictate the allocation of resources, production levels, and pricing.

The freedom to buy and sell whatever they choose is what ultimately determines how commodities and services are produced and distributed.

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Based on the diagram, what is the difference in how economic decisions are made in a mixed economy and

How did earth change about 2.5 billion years ago when many organisms began using photosynthesis to make food

A. The amount of oxygen in the atmosphere increased

B. Mass extinctions occurred

C. The oceans became larger

D. Rainfall increased

Answers

The amount of oxygen in the air was increased

If velocity of the car is given as v(t)= 10+3t+512. Determine the acceleration at t=2s.

Answers

Given data

*The given velocity of the car is v(t)= 10 + 3t + 512

The acceleration of the car is calculated as

\(\begin{gathered} a(t)=\frac{d}{dt}(v(t)) \\ =\frac{d}{dt}(10+3t+512) \\ =3m/s^2 \end{gathered}\)

Thus, the acceleration of the car at t = 2 s is 3 m/s^2

what is the velocity of the object 2.3 seconds after it is released from the top of the empire state building?

Answers

Explanation:

Object is under the effect of the acceleration of gravity

v = 1/2 a t^2       a = 9.81 m/s^2   t = 2.3

v = 25.9 m/s^2 = ~ 26 m/s   ( two significant digits)


If I tell you that you have a right triangle with one leg having length a and another leg having length b , if we
call the hypotenuse c, express the length of c in terms of legs a and b.

Answers

C is found using the Pythagorean theorem:

C = sqrt(a^2 + b^2)

. A steel bar 35mm by 35mm in section and 100mm in length is acted upon by a tensile load of 180KN along its longitudinal axis and 400kN and 300kN along the axes of lateral surfaces as shown in figure 2 below. Determine: (i) change in the dimensions of the bar (ii) change in volume Take E = 205 GPa Poisson's ratio (v) = 0.3​

Answers

(i) The change in length is 8.78 x 10⁻⁸ m and the change in the width is -2.63 x 10⁻⁸ m

(ii) The change in volume of the bar is  7.53 x 10⁻¹¹ m³.

What is the change in the dimensions of the bar?

The bar undergoes elongation and reduction in cross-sectional area due to the applied loads.

Using the formula for longitudinal strain, we can calculate the change in length (ΔL) as follows:

ΔL = (180 × 10³ N) x (100 × 10⁻³ m) / (205 × 10⁹ N/m²)

ΔL = 8.78 x 10⁻⁸ m

The change in width (Δb) can be calculated using the formula for lateral strain:

Δb = -v x ΔL = -0.3 x  ΔL

Δb = -0.3 x 8.78 x 10⁻⁸ m

Δb = -2.63 x 10⁻⁸ m

The change in volume can be calculated as follows:

ΔV = (35 × 10⁻³ m)  x (35 × 10⁻³ m) x (ΔL + Δb)

ΔV =  (35 × 10⁻³ m) x  (35 × 10⁻³ m) x (ΔL - 0.3 x ΔL)

ΔV =  (35 × 10⁻³ m) x  (35 × 10⁻³ m) x (8.78 x 10⁻⁸m -2.63 x 10⁻⁸ m)

ΔV = 7.53 x 10⁻¹¹ m³

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A cup of water plugged by a brown cork is insulated by a second styrofoam cup. A black rod and a thermometer are inserted through the cork into the water. The thermometer is A, the water is B, the outer cup is C. This part insulates the reaction chamber from the transfer of heat to or from the surrounding environment. This part contains a known amount of water, which is placed there before the experiment starts. This part is where the metal is placed at the beginning of the experiment. This part is used for measuring the initial and final temperatures of the water.

Answers

The part that insulates the reaction chamber from the transfer of heat to or from the surrounding environment is (C).

How to illustrate the information?

It should be noted that the cup of water plugged by a brown cork is insulated by a second styrofoam cup.

In this case, the black rod and a thermometer are inserted through the cork into the water.

This part that contains a known amount of water, which is placed there before the experiment starts is (B).

This part is where the metal is placed at the beginning of the experiment is (B).

This part that is used for measuring the initial and final temperatures of the water is (A).

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A cup of water plugged by a brown cork is insulated by a second styrofoam cup. A black rod and a thermometer

Answer:

Explanation:

C

B

B

A

Edge 2022

Which factor limits interference between waves? A constant phase relationship between waves Similar wave amplitudes Unequal wavelengths Radiation through the same region

Answers

Answer:

Unequal Wavelengths

Explanation:

Got it right on the exam

Unequal wavelengths limit interference between waves because the waves will have different frequencies and will not be able to form a stable interference pattern. When waves of different wavelengths interact, they will interfere constructively and destructively at different points, creating an unpredictable pattern.

Answer:

Unequal wavelengths

Explanation:

Got it correct on the quiz.

1. A Ograph A Ograph B Ograph c Which graph represents what happens to the pressure in a tire as air is added to the tire, assuming the temperature is constant? ​

1. A Ograph A Ograph B Ograph c Which graph represents what happens to the pressure in a tire as air

Answers

Answer:

Explanation:

It's graph A because the pressure in the tire is increasing as the amount of air going into it increases. B says the pressure drops exponentially as air goes in, and C says that the pressure stays the same as air goes in. Pressure in a tire increases proportionally to the amount of air in it.

Given the information in the velocity vs. time graph, what is the displacement of the object after 1 second?


_____ m


After 3 seconds?


_____ m


After 5 seconds?


_____ m


Thank you!!!

Given the information in the velocity vs. time graph, what is the displacement of the object after 1

Answers

The displacement of the object after 1 second, is 3 m.

The displacement of the object after 3 seconds, is 9 m.

The displacement of the object after 5 seconds, is 15 m.

What is displacement?

The displacement of an object is the change in the position of the object.

displacement of the object after 1 second

The displacement of the object after 1 second, x = 3 m/s x 1 second = 3 m

displacement of the object after 3 second

The displacement of the object after 1 second, x = 3 m/s x 3 s = 9 m

displacement of the object after 5 second

The displacement of the object after 1 second, x = 3 m/s x 5 s = 15 m

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The law of Conservation of energy states that energy can be transformed from one form to another, but it cannot be _______ or ________.
A. radiated, conducted
B. created, changed
C. changed, destroyed
D. created, destroyed

Answers

Answer:

D

Explanation:

D hope it helps and if not
The law of Conservation of energy states that energy can be transformed from one form to another, but

Converting the following number from exponential notation to standard scientific notation313.0 x 10^3 3.130 x 10^13.130 x 10^53.13 10^53.13 x 10^1

Answers

Explanation

Step 1

so

A)

\(undefined\)

Define neutralization

Answers

Answer:

neutral

Explanation:

ization

Answer:

A neutralization reaction is when an acid and a base react to form water and a salt and involves the combination of H+ ions and OH- ions to generate water. The neutralization of a strong acid and strong base has a pH equal to 7.

Explanation:

At 2:00, Alice was traveling in a car at 40 miles/hour. She then slows down, and at 4:00, she was traveling at 20 miles/hour.


What was Alice’s average acceleration between 2:00 and 4:00?
Show your complete calculation and state your answer with the correct units.

Answers

Answer:

-10miles/hr²

Explanation:

a = ∆v/∆t

Where:

a = acceleration (miles/hr²)

∆V = change in velocity (miles/hr)

t = time (hour)

The change in time is from 2:00 - 4:00 ∆t = 2 hours.

The distance covered is as follows: 20miles/hour - 40 miles/hr

∆v = -20miles/hr

Using a = ∆v/∆t

a = -20/2

a = -10miles/hr²

PLEASE HELP ASAPP!!!

1. You drive to your friend's house, and the trip odometer in your car shows that you travelled a
total distance of 12 km. The trip took you 15 minutes. You know by looking at a map that the
actual straight-line distance to your friend's house is 8 km. Calculate (in km/hour)

a. What is your average speed for the trip

b. What is your average velocity for the trip

Answers

Answer:

hello

Explanation:

for average speed the total distance is important so.

and you must convert min to hour 15 min is 1/4 or 0.25 hour

\(s = \frac{x}{t} = \frac{12}{0.25} = 48 \frac{km}{h} \)

for average velocity the straight line distance is important so

\(v = \frac{d}{t} = \frac{8}{0.25} = 32 \frac{km}{h} \)

hope you understand

What is the magnification of a real image if the image is 50.0 cm from a lens and the object is 10.0 cm from the lens? Use the equation m = - di / do

A.) 5.0

B.) 0.20

C.) -5.0

D.) -0.20

What is the magnification of a real image if the image is 50.0 cm from a lens and the object is 10.0

Answers

Answer:

Explanation:

m = -50/10 = -5.0

A 5.0 kg object suspended on a spring oscillates such that its position x as a function of time t is given by the equation x (t ) = A cos(ωt ), where A = 0.80 m and ω = 2.0 s-1 . What is the magnitude of the maximum net force on the object during the motion?

Answers

The magnitude of the maximum net force that is exerted on the object is equal to 1.60 N.

The magnitude of the maximum net force on the object is equal to the magnitude of the spring force at the maximum displacement of the object. The spring force is given by Hooke's law, which states that the force exerted by a spring is proportional to the displacement of the spring from its equilibrium position. The proportionality constant is called the spring constant, k.

The spring force can be expressed as F = -kx, where x is the displacement of the spring from its equilibrium position.

In this case, the maximum displacement of the object is A, so the magnitude of the maximum net force on the object is |F| = |-kx| = |-kA|.

Plugging in the given values, we get |F| = |-kA| = |-k(0.80 m)| = |-k(0.80 m)| = |1.60 N|.

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