The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows uniformly with an acceleration of 25.60 m/s2 for 4.20 s, making straight skid marks 62.4 m long, all the way to the tree. With what speed does the car then strike the tree?
What significant contribution did Lavoisier make to chemistry?
He was the first to use scientific experiments to learn about atoms.
just confirming, all credits go to the other answer
How much volume (in cm3) is gained by a person who gains 11.4 lbs of pure fat?
Final answer:
The volume gained by a person who gains 11.4 lbs of pure fat is approximately 5746.06 cm³, calculated by converting the weight to kilograms and using the density of body fat to find the volume.
Explanation:
To determine the volume gained by a person who gains 11.4 lbs of pure fat, we must first convert the weight gained into kilograms knowing that 1 lb = 0.453592 kg. Therefore, 11.4 lbs equals approximately 5.17145 kg.
Next, we use the fact that the density of body fat is typically around 0.9 g/cm³ (or 900 kg/m³). Thus, the volume V of the fat gained can be found using the formula for density ρ = mass (m) / volume (V), or V = m / ρ.
Substituting the values:
V = 5171.45 g / (0.9 g/cm³)
V ≈ 5746.06 cm³
Therefore, the volume increase from gaining 11.4 lbs of pure fat is approximately 5746.06 cm³.
A conducting sphere contains 6.08 trillion excess electrons. what is the magnitude of the charge on the sphere? (in c)
This question involves the concept of charge.
The magnitude of the charge on the sphere is "9.728 x 10⁻⁷ C".
Magnitude of Charge
The magnitude of charge on the sphere can be given by the product of the number of excess electrons present on the sphere and the charge on the single electron. Mathematically,
q = ne
where,
q = charge on sphere = ?n = no. of excess electrons = 6.08 trillion = 6.08 x 10¹² electronse = charge on one electron = 1.6 x 10⁻¹⁹ CTherefore,
q = (6.08 x 10¹²)(1.6 x 10⁻¹⁹ C)
q = 9.728 x 10⁻⁷ C
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1. What is the difference between the plasma and gaseous states of matter?
a. The gaseous and plasma states are electrically neutral
b. The gaseous state is electricity positive, while the plasma state is electrically negative.
c. The gaseous state is electricity negative, while the plasma state is electrically negative.
d. The gaseous state is electrically neutral, while the plasma state can be either electrically positive or negative.
2. How is pressure of a gas related to its concentration of particles?
a. Pressure will expand a gas, enlarging its volume and reducing its density and concentration of particles.
b. Pressure will magnify a gas, developing its volume and multiplying its density and concentration of particles.
c. Pressure will compress a gas, reducing its volume and giving it a greater density and concentration of particles.
d. Pressure will accelerate a gas, extending its volume and allowing a smaller density and concentration of particles.
How to change meters to kilometers
What kind of front means air masses and their boundaries stop moving?
the momentum of a moving car can be calculated by multiplying the car's mass by the cars velocity. Which of the following quantities could be correctly calculated momentum.
The formula for calculating the momentum of a moving object is P = mv, where P is momentum, m is mass, and v is velocity. Momentum is a vector, having both magnitude and direction, and is measured in kg m/s. A larger or faster-moving object will have greater momentum.
Explanation:The momentum of a moving object, including a car, can indeed be calculated by multiplying the mass of the object by its velocity, as encapsulated in the formula P = mv, where P represents momentum, m represents mass, and v represents velocity. Momentum is a vector quantity, meaning it has both magnitude and direction.
As such, if a car's velocity is in a negative direction (i.e., opposite to the direction of motion), its momentum will also be in a negative direction. Conversely, if the car's velocity is positive, its momentum will also be positive. The SI unit for momentum is kg m/s.
To illustrate this concept, consider a car of mass 1400 kg moving at a speed of 15 m/s. The momentum of this car would be calculated as 1400 kg * 15 m/s = 21000 kg m/s. This example demonstrates that a larger, faster-moving object will have greater momentum than a smaller, slower-moving object.
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The electric field between two parallel plates has a magnitude of 875 N/C. The positive plate is 0.002 m away from the negative plate. What is the electric potential difference between the plates? 2.3 × 10-6 V 1.8 × 100 V 8.8 × 102 V 4.4 × 104 V
Answer : Electric potential, [tex]V=1.8\times 10^0\ V[/tex]
Explanation :
It is given that,
Magnitude of electric field, [tex]E=875\ N/C[/tex]
Distance between two plates, [tex]d=0.002\ m[/tex]
The relation between the electric field and the electric potential is given by :
[tex]E=\dfrac{V}{d}[/tex]
[tex]V=E\times d[/tex]
[tex]V= 875\ N/C\times 0.002\ m[/tex]
[tex]V=1.75\ V[/tex]
or
[tex]V=1.8\times 10^0\ V[/tex]
So, the magnitude of electric potential is given by option (2).
Hence, this is the required solution.
When a certain element is excited with electricity, we see three main lines in its emission spectrum: two red lines and one orange line. what would the absorption spectrum of this element look like?
How could you write an equation for average velocity that would work for finding the average velocity of any object?
Final answer:
To find the average velocity of any object, use the formula Vavg = (Vo + V) / 2 for constant acceleration or calculus methods for variable acceleration. Average velocity is a vector quantity that represents the total displacement per unit time and is directly proportional to displacement, highlighting its linear relationship.
Explanation:
To write an equation for average velocity that would work for finding the average velocity of any object, we need to understand that average velocity is a vector quantity defined as the total displacement divided by the total time taken for that displacement.
The formula for average velocity, Vavg, when acceleration is constant can be written as Vavg = (Vo + V) / 2, where Vo is the initial velocity and V is the final velocity. For variable acceleration, calculus is used to find the instantaneous velocity at any given point, which can be then integrated over a time interval to get the average velocity.
The relationship between displacement (x), average velocity (Vavg), and time (t) can be demonstrated by the linear equation x = xo + Vavg t, where xo represents initial position. This indicates that displacement is a linear function of average velocity.
The frequency of the middle f note on a piano is 349.23 hz. what is the wavelength of this note in centimeters? the speed of sound in air is 343.06 m/s.
We are given that:
Speed of sound in air = 343.06 m/s and frequency f =
349.23Hz.
Calculating for wavelength using the formula:
Wavelength λ = c / f
wavelength λ = 343.06 / 349.23 = 0.98233 m = 98.233 cm
Only some shortwave radiation from the sun reaches earth’s surface. what is the leading cause of this radiation loss?
Only a portion of shortwave radiation from the sun reaches earth's surface mainly due to atmospheric scattering and absorption. The atmosphere's molecules, dust, and aerosols scatter radiation, while gases like oxygen and ozone absorb particularly harmful ultraviolet rays.
Explanation:Only some of shortwave radiation from the sun reaches the earth's surface due to daily and seasonal variations in the sun's angle above the horizon, the distance between the sun and the earth, and the atmosphere's composition. The leading cause of this radiation loss is atmospheric scattering and absorption.
The atmosphere is made up of molecules, dust, and aerosols which scatter the incoming radiation in different directions. Some of this scattered radiation ends up traveling back out into space. Moreover, atmospheric gases such as oxygen and ozone also absorb a significant portion of shortwave radiation, particularly harmful ultraviolet (UV) rays. This combination of scattering and absorption prevents a significant amount of shortwave radiation from reaching the earth's surface.
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Atmospheric absorption and scattering cause the loss of short wave radiation from the sun, preventing some of it from reaching Earth's surface.
The leading cause of the loss of shortwave radiation from the sun reaching Earth's surface is atmospheric absorption and scattering. When sunlight passes through the Earth's atmosphere, various gases, aerosols, and clouds absorb and scatter shortwave radiation. Water vapor, carbon dioxide, ozone, and particulates absorb specific wavelengths of solar radiation. Additionally, molecules and small particles in the atmosphere scatter sunlight in different directions, leading to diffuse sky radiation.
This absorption and scattering phenomenon cause a significant portion of shortwave radiation to be dispersed or absorbed by the atmosphere before it reaches the Earth's surface. The remaining radiation, once it penetrates the atmosphere, contributes to heating the Earth's surface and drives various processes, such as weather patterns and the Earth's climate system.
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A football quarterback is moving straight backward at a speed of 3.00 m/s when he throws a pass to a player 20.0 m straight downfield. (a) if the ball is thrown at an angle of 25.0° relative to the ground and is caught at the same height as it is released, what is its initial speed relative to the ground
The initial speed of the football can be determined using the equations from projectile motion, considering the horizontal distance of the throw and the angle at which the ball is thrown.
Explanation:The question is asking to determine the initial speed of the football when thrown by the quarterback. This is a projectile motion question and it involves two dimensions. Given that the quarterback is throwing the ball at an angle of 25.0 degrees and the ball lands at the same height, we can find the initial speed using the horizontal distance of the throw (20.0 m) and the equation for horizontal displacement in projectile motion: x = V0 * t * cos(θ).
Here, we do not have the throwing time (t), and hence, we use another equation from projectile motion where time (t) = [2 * V0 * sin(θ)] / g; where g is the gravity. Substituting this time (t) in the first equation, and solving for V0, we will get the initial speed of the thrown football.
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please help.
four ways of making a network of five capacitors of the same value are shown here. three out of four are identical. the one which is different is
explain your answer
Problem 2.26 MasteringPhysics 10 of 16 Problem 2.26 When striking, the pike, a predatory fish, can accelerate from rest to a speed of 3.9 m/s in 0.11 s Part B How far does the pike move during this strike? .
final velocity = initial
velocity + (acceleration x time)
3.9 m/s = 0 m/s + (acceleration x 0.11 s)
3.9 m/s / 0.11 s = acceleration
30.45 m/s^2 = acceleration
distance = (initial velocity x time) +
1/2(acceleration)(time^2)
distance (0 m/s x 0.11 s) + 1/2(30.45 m/s^2)(0.11s ^2)
distance = 0.18 m
Answer:
(a). The acceleration is 35.5 m/s².
(b). The distance is 0.214 m.
Explanation:
Given that,
Speed = 3.9 m/s
Time = 0.11 s
We need to calculate the acceleration
Using formula of acceleration
[tex]a = \dfrac{v_{f}-v_{i}}{t}[/tex]
Put the value into the formula
[tex]a =\dfrac{3.9-0}{0.11}[/tex]
[tex]a=35.5\ m/s^2[/tex]
We need to calculate the distance
Using equation of motion
[tex]s = ut+\dfrac{1}{2}at^2[/tex]
Put the value in the equation
[tex]s =0+\dfrac{1}{2}\times35.5\times(0.11)^2[/tex]
[tex]s=0.214\ m[/tex]
Hence, (a). The acceleration is 35.5 m/s².
(b). The distance is 0.214 m.
In what order do the effort, fulcrum, and resistance appear on a second class lever?
Determine the maximum height and range of a projectile fired at a height of 4 feet above the ground with an initial velocity of 600 feet per second and at an angle of 45° above the horizontal. (round your answers to three decimal places.)
The maximum height is approximately 602.878 feet, and the range is approximately 1,204.755 feet, rounded to three decimal places.
Certainly, let's calculate the maximum height and range of the projectile.
Given:
Initial height (h₀) = 4 feet
Initial velocity (v₀) = 600 ft/s
Launch angle (θ) = 45 degrees
Acceleration due to gravity (g) = 32 ft/s² (assuming downward as positive)
Vertical Motion:
h = h₀ + v₀ sin(θ) t - 1/2 gt²
At the maximum height, v_y = 0:
v_y = v₀ sin(θ) - gt = 0
Solving for t, we get the time of flight. Once we have t, we can substitute it back into the vertical motion equation to find the maximum height (h).
t = v₀ sin(θ) / g
h = h₀ + v₀² sin²(θ) / (2g)
Horizontal Motion:
R = v₀ cos(θ) * time of flight
R = v₀ cos(θ) * v₀ sin(θ) / g
Now, let's perform the calculations:
t = 600 sin(45°) / 32
t ≈ 5.774 seconds
h = 4 + 600² sin²(45°) / (2 * 32)
h ≈ 602.878 feet
R = 600 cos(45°) * 5.774
R ≈ 1,204.755 feet
An electron travels 1.64 m in 4.32 × 10−8 s. How fast is it traveling? Answer in units of m/s
One sphere has a radius of 5.10 cm; another has a radius of 5.00 cm. What is the difference in volume (in cubic centimeters) between two spheres?
A 1776 kg car has a speed of 10.3 m/s when it hits a tree. the tree doesn’t move and the car comes to rest. find the change in kinetic energy of the car. answer in units of j.
Answer:
The guy above me is incorrect
Explanation:
What factors affect the speed of a wave? Check all that apply.
It is the last 3.
the temperature of the medium
the type of wave
the type of medium
The acceleration produced by a net force on a body is inversely proportional to the mass of the body. true or false
The acceleration produced by a net force on a body is inversely proportional to the mass of the body is true.
What is acceleration?A net force acting on an object causes it to accelerate, which would be inversely proportional to such mass of the object and therefore directly proportional to the force's size as well as direction.
What is mass?A physical body's mass would be the total amount of matter it contains. Inertia, or the body's susceptibility to acceleration when a net force would be applied, is another property that may be measured.
It is known that F = ma, hence the acceleration produced by a net force on a body is inversely proportional to the mass of the body.
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a bowling ball has a mass of 5kg. what happens to tis momentum when its speed increases from 1 m/s to 2 m/s
a long jumper jumps at a 20 degree angle and attains a maximum altitude of 0.6 m
help with Order of Magnitude question?
The rate of motion of the earth at its equator is about 1,038 mi/h because of its rotation. From this information, estimate the earth's circumference using an order-of-magnitude estimate.
Question 21 options:
2,000 mi
20,000 mi
200,000 mi
2,000,000 mi
Estimate the speed at which the average oxygen molecule is moving in the room that you are in
The speed of an average oxygen molecule in a room can be estimated using the root-mean-square velocity formula, which indicates that at a room temperature of 300 K, the average speed of oxygen molecules is a few hundred meters per second.
Explanation:To estimate the speed of an average oxygen molecule in the room at room temperature, we use the concept of root-mean-square (rms) velocity, which is derived from the kinetic theory of gases. At a temperature of about 300 K (room temperature), the kinetic energy of all gas molecules is the same, meaning that lighter molecules move faster than heavier ones. While the molar mass of oxygen is 32.0 g/mol, nitrogen, which composes the majority of air, has a molar mass of 28.02 g/mol. Thus, at the same temperature, oxygen molecules will move more slowly on average than nitrogen molecules.
For oxygen at 300 K, the average speed can be found using the root-mean-square velocity formula: v_rms = \sqrt{(3kT/m)}, where k is the Boltzmann constant, T is the temperature in Kelvin, and m is the mass of a single oxygen molecule. Since the ratio of the molar masses of oxygen and nitrogen is 16.00 to 14.01 and knowing that nitrogen molecules are lighter, they will have a higher average speed compared to oxygen molecules at the same temperature. By using the rms velocity equation, one can calculate that oxygen molecules have an average speed of a few hundred meters per second at room temperature.
How do two negatively charged particles behave when held close together and then released?
Answer: Move away.
Explanation:
We know that like charges repel each other and unlike charges attract each other. So, when two negatively charged particles are brought close together and then released, they move away from each other because of their similar charge and hence, they repel each other. The electrostatic force of repulsion acts between the two similar charged particles.
A car drives horizontally off a 73-m-high cliff at a speed of 27 m/s. Ignore air resistance. How long will it take the car to hit the ground?
At the edge of the cliff, the speed of the car will have two components. The x-component, horizontal, is equal to 27 m/s while the y-component, vertical, is equal to zero. With this, the car is seemingly in free-fall.
The equation that would allow us to answer the question above is,
d = (V₀)t + 0.5gt²
where d is distance, V₀ is the initial velocity, g is the acceleration due to gravity and t is the time. Substituting the known values,
73 = (0)(t) + 0.5(9.8 m/s²)(t²)
Vo equals zero because we only consider the y-component of the vector. Solving for the value of t will give us an answer of 3.86 s.
Answer: 3.86 seconds
To calculate the time it takes for the car to hit the ground when driving horizontally off a cliff, you can use the equation of motion for vertical motion and solve for time. The equation is y = yo + vot + 1/2at^2, where yo is the initial vertical position, vo is the initial vertical velocity, a is the acceleration due to gravity, and t is the time taken. Plug in the given values and solve for t.
Explanation:To calculate the time it takes for the car to hit the ground, we can use the equation of motion for vertical motion: y = yo + vot + 1/2at^2. Since the car is driving horizontally, the initial vertical velocity vo is equal to zero, and the initial vertical position yo is equal to the height of the cliff, which is 73 meters. The acceleration due to gravity a is approximately -9.8 m/s^2 (negative because it acts in the opposite direction of the car's motion). Plugging in these values, we get:
y = 73 + 0t - 1/2(9.8)t^2
We can solve this equation for t by setting y equal to zero (since the car hits the ground), and solving the resulting quadratic equation. The positive solution will give us the time it takes for the car to hit the ground.
Let me calculate that for you.
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Write a hypothesis about the effect of increasing the total mass of the carts on the final velocity after an inelastic collision. Use the "if . . . then . . . because . . ." format and be sure to answer the lesson question: "How does changing mass affect colliding objects?"
The hypothesis about the effect of increasing the total mass of the carts on the final velocity after an inelastic collision will be as follows;
"If the total mass of two colliding carts is increased then the final velocity of the carts drops, because mass and velocity define momentum and momentum is preserved during an inelastic collision".
Explanation:
In an inelastic collision, the two objects stick on each other and move with a common velocity.
If m₁ and m₂ are the mass of two objects. They are moving with initial velocities u₁ and u₂. Let V be the final velocity of both objects.
Using conservation of momentum as :
[tex]m_1u_1+m_2u_2=(m_1+m_2)V[/tex]
[tex]V=\dfrac{m_1u_1+m_2u_2}{m_1+m_2}[/tex]
If the mass of the colliding objects increases then the velocity decreases because there is an inverse relationship between the mass and the velocity.