Police use the formula s=sqrt(30fd) to estimate the speed (s) of a car just before it skids. In this formula (s) is the speed of the car, (d) is the distance the car skidded in feet, and (f) represents the coefficient of friction. The value of (f) depends on the condition and type of road surface. We know f=.35 when the road is wet concrete and 0.95 on a dry concrete road.
You are given the job of investigator! You will be given the measurements of two skidding cars involved in an accident. Determine the speed of each car prior to the skid.
Car A: Skid was measured to be 32 feet. Car B: Skid was measured to be 43 feet.
a. What is the exact speed in radical form and exponential form?
b. What is the estimated speed rounded to the nearest tenth?
c. You know that you should keep a safe following distance when following other cars on a roadway. How long should your following distance be if both you and the car in front of you are travelling at 55 mph?
Answers
Car A speed: Exact speed = 39.91 ft/s. Estimated speed = 27.2 mph. Car B speed: Exact speed = 69.15 ft/s. Estimated speed = 47.2 mph. The safe following distance at 55 mph for Car A is 164.1 feet and for Car B is 407.5 feet, assuming a perception-reaction time of 1.5 seconds.
For Car A:
Using s = √(30fd), with d = 32 feet and f = 0.35 for a wet concrete road:
s = √(30 x 0.35 x 32) = 39.91 feet/second
In exponential form, s = 3.991 x 10¹ ft/s
For Car B:
Using s = √(30fd), with d = 43 feet and f = 0.95 for a dry concrete road:
s = √(30 x 0.95 x 43) = 69.15 feet/second
In exponential form, s = 6.915 x 10¹ ft/s
For Car A:
The estimated speed rounded to the nearest tenth is:
s ≈ 39.9 feet/second or 27.2 miles/hour (1 mile = 5280 feet)
For Car B:
The estimated speed rounded to the nearest tenth is:
s ≈ 69.2 feet/second or 47.2 miles/hour.
The safe following distance depends on the speed of the car and the perception-reaction time of the driver. Assuming a perception-reaction time of 1.5 seconds, the following distance at 55 miles/hour would be
s = vt + 0.5at², where v = 55 miles/hour = 80.7 feet/second, t = 1.5 seconds, and a is the maximum deceleration rate.
For Car A:
Using f = 0.35 for wet concrete:
a = f x g = 0.35 x 32.2 ft/s² = 11.27 ft/s²
s = vt + 0.5at² = 80.7 x 1.5 + 0.5 x 11.27 x (1.5)² = 164.1 feet
For Car B:
Using f = 0.95 for dry concrete:
a = f x g = 0.95 x 32.2 ft/s² = 30.59 ft/s²
s = vt + 0.5at² = 80.7 x 1.5 + 0.5 x 30.59 x (1.5)² = 407.5 feet
Therefore, the safe following distance for Car A at 55 miles/hour is 164.1 feet, and for Car B it is 407.5 feet.
To know more about distance:
https://brainly.com/question/28974121
#SPJ4
Related Questions
DEFINE KINETIC ENERGY AND PATAINTIA ENERGY please
Answers
Answer:
1. Kinetic energy is the energy possessed by a body due to its motion. Potential energy is the energy possessed by a body due to its position or state. Kinetic energy can be transferred from one object to another, in case of collisions. Potential energy cannot be transferred. Thus, the potential energy is stored in the object due to its position, whereas the kinetic energy is possessed by an object due to motion.
Eg: A ball kept on the edge of the table possesses potential energy due to its height, whereas a ball falling down from the table will possess kinetic energy due to its motion.
2. The formula for Kinetic energy is as below: This means that kinetic energy is directly proportional to mass as well as velocity. But it is proportional to 1 unit of mass and a square of velocity. Hence, velocity has a greater effect on kinetic energy.…show more content…
3. The equation for kinetic energy is: .
Let’s calculate the kinetic energy of a 40 kg object traveling 15 m/s.
Solution: mass= 40kg, velocity= 15 m/s, so putting these numbers into the kinetic energy equation,
Now, let’s calculate the kinetic energy of a 40 kg object traveling 30 m/s.
Solution: mass= 40kg, velocity= 30 m/s, so putting these numbers into the kinetic energy equation, Thus, when we double the velocity of an object, its kinetic energy increases by four times. Hence the velocity of an object has more impact on kinetic energy than the mass of an object.
Explanation:
Name three other objects around you now that are displaying a balanced force
Answers
Answer:
Examples of balanced forces
Resting against a wall.
Lying down.
Aircraft in a steady-flight.
Floating in water.
Standing in ground.
Tug of war equally balanced teams.
Fruit hanging from a tree.
Ball hanging from a rope.
If you pass an electric current through an iron nail, you will create an electromagnet. This magnet will pick up small objects, thus demonstrating that electrical energy can be converted into mechanical energy. Is there a way to use this principle to create a motor?
Answers
An iron nail, when it loses its magnetism, often iron behaves as a magnet when electric current flows only through the coil of insulated wire wrapped around it. There is therefore, a way to use this principle to create a motor.
An electromagnet is said to be created if a known current is passed through a coil of wire gathered around an iron nail.The principle is often used to make an electric motor by creating a current that is moving coil into a movable core that is attached to a spring.
If a current flows through a wire, electrical energy is said to be converted into different kinds of energy such as heat in a heating element, etc. The electric current could also be transformed or made to create a mechanical energy, which is what happens in an electric motor.
A motor is simply known as a generator working in reverse. This can be liken to a motor when a wire is put in between the two paper clips that are connected to the battery.
Learn more from
https://brainly.com/question/25565653
If Earth's mass doubled, your weight would..
a. increase
b. decrease
c. stay the same
Answers
Answer:
a. increase
Explanation:
Doubling the mass of the Earth would double your weight, since gravitational force is directly proportional to mass, but doubling the radius (which doubles if the diameter doubles) would decrease your weight by a factor of 1/4, since gravitational force is inversely proportional to the square of the radius.
A satellite of mass "m1" orbits the Earth 3.8 x 108 meters above the Earth (mass=5.93 x 1024). If the force due to gravity of the Earth on the satellite is 7.99 N, what
is the mass of the satellite?
Your answer:
1.28 x 108kg
2914.6 kg
3.11 x 10kg
53.99 kg
1.74 x 1028 kg
Answers
Answer:2914.6kg
Explanation:
F = GMm/r^2
r = 3.8x10^8 m
G = 6.67x10^-11 N·m^2/kg
M : the mass of the Earth
m : the mass of the satellite
7.99 = (6.67x10^-11 x 5.93x10^24 x m ) / (3.8x10^8)^2
m = 2916.9 kg
A satellite of mass m1 orbits the earth, if the force due to gravity of the earth on the satellite is 7.99 N then the mass of the satellite will be equal to 2914.6 kg.
What is gravity?The fundamental force of attraction operating on all matter is recognized as gravity, also spelled gravity, in mechanics. It has no impact on identifying the interior properties of common matter because it is the weakest force known to exist in nature.
The formation and growth of planets, galaxies, and the universe are all under the influence of this long-range, cosmic force, which further determines the trajectories of objects throughout the universe and the entire universe.
Force, F = GMm/r²
Radius, r= 3.8x10⁸ m
Gravitational costant, G = 6.67x10⁻¹¹ N·m²/kg
M represents the mass of the Earth and,
m represents the mass of the satellite
7.99 = (6.67x10^-11 x 5.93x10²⁴ x m ) / (3.8x10⁸)²
m = 2916.9 kg
To know more about Gravity:
https://brainly.com/question/4014727
#SPJ2
what is the acceleration due to gravity on the surface of the asteroid?
Answers
Explanation:
The acceleration due to gravity on the surface of the asteroid is directly proportional to the mass of the asteroid and inversely proportional to the square of the distance from the center of the asteroid.
Therefore, it varies depending on the asteroid's size, shape, and composition.
What is acceleration?Acceleration is the rate of change of velocity over time. A change in velocity, which can be either a change in magnitude or direction or both, results in acceleration.
It is measured in units of meters per second squared (m/s²) or centimeters per second squared (cm/s²).
What is gravity?Gravity is a fundamental force in physics that exists between any two objects in the universe.
The force of gravity pulls all objects with mass toward each other.
Gravity's strength depends on the mass of the two objects and the distance between them.
What is an asteroid?An asteroid is a small rocky or metallic object in space that orbits the sun. They are usually composed of rock, metal, or a combination of the two.
They vary in size from a few meters to hundreds of kilometers in diameter.
Most asteroids are found in the asteroid belt between Mars and Jupiter, although some are also found in other regions of the solar system.
To know more about acceleration due to gravity :
https://brainly.com/question/30832668?
#SPJ11
As one moves away from a positive point charge, the electric potential:________
Answers
As one moves away from a positive point charge, the electric potential: decreases due to (r) is getting bigger
As the radius between the charges becomes larger the electric potential decreases because the relationship between the two is inversely proportional.
The electric potential formula is:
Ep = (k * q1 * q2)/r
Where:
Ep = electric potential energyk = coulomb constantq1 = charge 1q2 = charge 2r = separation distance of the chargesWhat is electrical potential?In physics the electric potential energy is the energy possessed by an electric charge in reference to another existing electric charge separated by a distance called (r). Its unit of measurement in the international system is the Joule.
Learn more about electric potential at: brainly.com/question/24317284
#SPJ4
Electricity flows from what to what
Answers
Answer:
electric current refers to electrons and protons flow in the opposite direction. current is flow electrons ,but current and electron flow in the opposite direction. current flows from positive to negative and electron flows from negative to positive.
now assume that the mass of particle 1 is 2m , while the mass of particle 2 remains m . if the collision is elastic, what are the final velocities v1 and v2 of particles 1 and 2? give the velocity v1 of particle 1 followed by the velocity v2 of particle 2, separated by a comma. express the velocities in terms of v .
Answers
The final velocity of particle 1, v1, can be expressed as (1/3)v, the final velocity of particle 2, v2, is (2/3)v.
In an elastic collision between particle 1 with a mass of 2m and particle 2 with a mass of m, the final velocities v1 and v2 can be determined.
By applying the principle of conservation of momentum and kinetic energy, we find that the final velocities are proportional to the initial velocity v.
The final velocity of particle 1, v1, can be expressed as (1/3)v. Since particle 1 has twice the mass of particle 2, it moves at a slower speed after the collision.
On the other hand, the final velocity of particle 2, v2, is (2/3)v. Due to its smaller mass, particle 2 experiences a higher final velocity compared to particle 1.
These relationships indicate that the final velocities are dependent on the initial velocity v and the mass ratio of the particles. The larger mass of particle 1 leads to a lower final velocity, while the smaller mass of particle 2 results in a higher final velocity.
Learn more about elastic collision here:
https://brainly.com/question/31318883
#SPJ11
Which describes the positions on a horizontal number line?
Answers
Answer:
All points to the left of zero are negative numbers. All points to the right of the zero are positive numbers. Zero is generally considered the center of the number line since both positive and negative numbers (more specifically integers) are considered to go to infinity. (Negative infinity or positive infinity)
Explanation:
Whoops sorry I accidentally commented the first time
Use the equation V=IR to find resistance, potential difference or current given the other two quantities.
Answers
I= V/R
R= V/I these are the other two quantities
experiment to show acceleration due to gravity
Answers
Explanation:
hope it is helpful to you
(a) find the work done by f in moving an object from a point p1 along a path to a point p2 in terms of the distances d1 and d2 from these points to the origin. (b) an example of an inverse square field is the gravitational field f
Answers
The strength of gravitational or electrostatic fields is frequently determined using the inverse square law as an illustration, the Earth's surface has a gravitational field strength of about 9.8 N/kg.
Take note that the field F(r) is a vector along the ray passing through each point in space with the coordinates r=(x, y, z) and coming from the coordinate center. So you can visualize the entire field as a blast from a single central point. Picture two points A and B on a sphere with radius |A| that are both located at the same distance from 0 and a path that connects them. You would expend no energy to move a particle along this path because you are always orthogonal to the force's direction. Work accounted for is the work along the path from distance |P2| to distance |P1| along this ray. For all intents and purposes, the points P1 and P2 can be located on the same ray emanating from the origin (while preserving only their distances from it). This is conservative as per physics forums.To understand about gravitational field strength-
https://brainly.com/question/18511078
#SPJ4
it is possible to use a simple machine and gain no mechanical advantage
Answers
Answer:
yes
Explanation:
which government policy in the United States was enacted in response to the oil embargo of 1973?
Answers
In response to the embargo, the US government imposed fuel rationing and lowered speed limits to reduce consumption Nixon seriously considered military action to seize oil fields in Saudi Arabia, khuwait and Abu Dhabi as a last resort.
Hope these helps you.
Mars has an atmosphere composed almost entirely of carbon dioxide, with an average temperature of -63 degress C.
What is the rms speed of a molecule in Mars's atmosphere?
Answers
The rms speed of a molecule in Mars's atmosphere can be calculated using the formula v = √((3kT)/m), where v is the rms speed, k is Boltzmann's constant (1.38 x 10^-23 J/K), T is the temperature in Kelvin (210 K), and m is the mass of a carbon dioxide molecule (44.01 g/mol or 5.84 x 10^-26 kg).
Plugging in these values, we get v = √((3 x 1.38 x 10^-23 J/K x 210 K)/(5.84 x 10^-26 kg)) = 244 m/s (rounded to the nearest whole number). Therefore, the rms speed of a molecule in Mars's atmosphere is approximately 244 m/s.
Learn more about rms speed here:-
https://brainly.com/question/12896215
#SPJ11
A baseball player is running and then slides to base, as shown at right. The baseball player's mass is 80.7 kg and he is initially running at 3.58 m/s. He comes to rest at the base. How much work was done by friction (on the player) to slow his motion? Give your answer in Joules, with the correct sign and appropriate significant figures.
Answers
The work done by friction on the baseball player to slow his motion is -290.226 Joules.
When the baseball player slides to the base, friction acts in the opposite direction of his motion, opposing his velocity. This negative work done by friction is responsible for slowing down the player's motion. The work done by a force is given by the equation W = F * d * cos(Ф), where W is the work, F is the force applied, d is the displacement, and Ф is the angle between the force and the displacement.
In this case, the force of friction opposes the player's motion, so the angle between the force and the displacement is 180 degrees, and cos(180) = -1. The work done by friction is then calculated as W = F * d * -1.
To find the force of friction, we can use the equation F = m * a, where m is the mass of the player and a is the acceleration. Since the player comes to rest, his final velocity is 0, so the acceleration can be calculated using the equation v² = u² + 2a * d, where u is the initial velocity, v is the final velocity, and d is the displacement.
Plugging in the given values, we have u = 3.58 m/s, v = 0 m/s, and solving for a, we get a = -((v² - u²) / (2 * d)).
Substituting the values into the equation F = m * a, we can find the force of friction. Finally, we can calculate the work done by friction using the equation W = F * d * -1.
Therefore, the work done by friction on the baseball player to slow his motion is approximately -290.226 Joules.
Learn more about friction
brainly.com/question/28356847
#SPJ11
A 15kg ball accelerates at a rate of 3m/s/s. What force was required?
A. 5N
B. 45N
C. 18N
D. 0.2N
Answers
Answer:
45 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 15 × 3
We have the final answer as
45 NHope this helps you
Which statement best describes how scientists and engineers work together
in the research and development cycle?
A. Scientists test designs made by engineers and then use the
results to improve the designs.
B. Scientists develop a new technology, and then engineers test it by
doing experiments
C. Engineers make a scientific discovery, and then scientists perform
research to verify it.
D. Engineers come up with scientific questions when they are
developing their design, and scientists do research to answer
them.
Answers
Answer:
Option D: Engineers come up with scientific questions when they are
developing their design, and scientists do research to answer
them.
Explanation:
Normally, scientists work involves study of how nature works while engineers work is to create new things, such as websites, products e.t.c. Now, the objectives of engineers and scientists are different because they follow different processes while working to achieve their results. Scientists perform experiments using the scientific method which involves processes such as constructing hypothesis and testing with an experiment while, engineers usually follow the creativity based design engineering processes which involves developing of prototype solutions and testing those solutions.
Thus, it's clear that engineers deal with design while scientists deal with research.
The correct answer will be option D
The magnetic field at the center of a 1.20-cm-diameter loop is 2.90mT
What is the current in the loop?
A long straight wire carries the same current you found in part a. At what distance from the wire is the magnetic field 2.90mT ?
Answers
To find the current in the loop, we can use the formula for magnetic field at the center of a circular loop: B = (μ0 * I * R^2) / (2 * R^2)
where B is the magnetic field, μ0 is the permeability of free space, I is the current, and R is the radius of the loop.
Plugging in the given values, we get:
2.90mT = (4π * 10^-7 T*m/A * I * (0.6cm)^2) / (2 * (0.6cm)^2)
Simplifying and converting units, we get:
I = 3.85 A
Therefore, the current in the loop is 3.85 A.
To find the distance from the long straight wire where the magnetic field is 2.90mT, we can use the formula for magnetic field at a distance from a long straight wire: B = (μ0 * I) / (2π * r)
where B is the magnetic field, μ0 is the permeability of free space, I is the current, and r is the distance from the wire.
We can rearrange this formula to solve for r:
r = (μ0 * I) / (2π * B)
Plugging in the given values, we get:
r = (4π * 10^-7 T*m/A * 3.85 A) / (2π * 2.90mT)
Simplifying and converting units, we get:
r = 0.066 m
Therefore, the magnetic field of the long straight wire is 2.90mT at a distance of 0.066 m from the wire.
learn more about magnetic field here:
https://brainly.com/question/23096032
#SPJ11
A block is at rest on the incline shown in the figure. The coefficients of static and kinetic friction are µs = 0.67 and µk = 0.57, respectively. The acceleration of gravity is 9.8 m/s 2 . What is the frictional force acting on the 17 kg mass? Answer in units of N.
Answers
The frictional force acting on the 17 kg mass is 111.62 N.
What is frictional force?Friction is the force that resists motion when the surface of one object comes in contact with the surface of another.
This type of force resist the motion of two surfaces that are in contact.
Mathematically, the formula for frictional force is given as;
Ff = µsN
where;
µs is the coefficient of static frictionN is the normal forceFf is the frictional forceThe frictional force acting on the mass is calculated as follows;
Ff = µsN
Ff = µsmg
Ff = (0.67) x (17 kg) x (9.8 m/s²)
Ff = 111.62 N
Thus, the frictional force acting on the mass depends on the mass and acceleration due to gravity on the mass.
Learn more about frictional force here: https://brainly.com/question/4618599
#SPJ1
A gas-turbine power plant operates on the simple Brayton cycle between the pressure limits of 100 and 1600 kPa. The working fluid is air, which enters the compressor at 40∘C at a rate of 850m3/min and leaves the turbine at 650∘C. Assuming a compressor isentropic efficiency of 85 percent and a turbine isentropic efficiency of 88 percent, determine
(a) the net power output,
(b) the back work ratio, and
(c) the thermal efficiency.
Use constant specific heats with
cv=0.821kJ/kg?
K,cp=1.108kJ/kg?
K, and k=1.35.
Answers
Answer:
a) 6498.84 kW
b) 0.51
c) 0.379
Explanation:
See the attached picture below for the solution
Given-
Temperature at state 1 \(T_{1}\) is 40 degree cel. This is equal to the 313 K.
Temperature at state 1 \(T_{2}\) is 650 degree cel. This is equal to the 923 K.
To know the mass flow rate use the idol gas equation. Idol gas equation for a substance can be given as,
\(PV=nRT\)
Rewrite this equation for \(n\),
\(n=\dfrac{PV}{RT}\)
Put the value of known variable from the question,
\(n=\dfrac{100\times\dfrac{850}{60} }{0.287\times 313}\)
\(n=15.77\)
Thus the value of n is 15.77 kg/sec.
Temperature at state 2 is,
In Bryon cycle we know that the processes 1-2 and 3-4 are isotropic. Hence,
\(T_{2} =T_{1}\left (1+ \dfrac{r_{p}^{\dfrac{\gamma-1}{\gamma}-1} }{c_{v} } \right )\)
\(T_{2} =313\left (1+ \dfrac{16^{\dfrac{1.35-1}{1.35}-1} }{0.821 } \right )\)
\(T_{2} =700\)
Temperature at state 3 is,
\(T_{3} =\dfrac{T_4}{1+c_p(r_p^{\dfrac{\gamma-1}{\gamma}-1}-1)}\)
Put the value in above equation we get,
\(T_3=1682\)
Net power output is,\(W=mc_p(T_i{n}-T_{out})\)
\(W=mc_p(T_3-T_2-T_4+T_{1})\)
\(W=15.77\times1.109(1682-700-923+313)\)
\(W=65\)
Thus the net power output is 70 watt.
The back work ratio,
\(r_b=\dfrac{T_2-T_1}{T_3-T_4}\)
\(r_b=\dfrac{700-313}{1682-923}\)
\(r_b=0.51\)
Hence the back work ratio is 0.51.
The thermal efficiency-\(\eta=\dfrac{W}{Q_{in}}\)
\(\eta=\dfrac{65}{mc_p(T_3-T_2)}\)
\(\eta=0.379\)
Hence, for the given problem the net power output is 70 watt,the back work ration is 0.51, and the thermal efficiency is 0.379.
For more about the Brayton cycle, follow the link below-
https://brainly.com/question/24696911
18 to determine the freezing level and areas of probable icing aloft, you should refer to
Answers
To determine the freezing level and areas of probable icing aloft, you should refer to the Area Forecast. The Area Forecast is a weather forecast that provides detailed information about the weather conditions that are expected to occur in a specific area.
The Area Forecast includes information about the temperature, wind, precipitation, and icing conditions that are expected to occur.
The freezing level is the altitude at which the temperature falls below freezing. Icing is the accumulation of ice on an aircraft's structure. Icing can be a serious hazard to aircraft, and it is important to be aware of the freezing level and areas of probable icing when planning a flight.
The Area Forecast can be found on the National Weather Service website. The Area Forecast is updated every 6 hours, and it is a valuable tool for pilots who are planning a flight.
Here are some additional tips for avoiding icing:
Avoid flying in areas where the freezing level is forecast to be below 10,000 feet. Avoid flying in areas where there is a forecast for thunderstorms or widespread precipitation. If you must fly in an area where icing is possible, be sure to fly at an altitude that is above the freezing level. If you encounter icing, descend to an altitude that is above the freezing level.Turn on your deicing and anti-icing systems.
Be aware of the signs of icing, such as a loss of power and control.If you are unsure about the weather conditions, it is always best to consult with a flight service specialist.
To learn more about freezing level visit: https://brainly.com/question/31940132
#SPJ11
very dense material when heated will give off a ____ spectrum.
Answers
When very dense material is heated, it produces a continuous spectrum. A continuous spectrum is an electromagnetic radiation that displays a continuous range of wavelengths or colors.
The spectrum has no gaps or breaks and is seen as a smooth, unbroken band of colors that blend into each other.A continuous spectrum is created by solids, liquids, and dense gases when heated. The molecules in these materials begin to move around more quickly when they absorb thermal energy.
As a result of this motion, the electrons in the atoms within the material are excited to higher energy levels.This means that the electrons move from lower energy levels, which are closer to the atomic nucleus, to higher energy levels, which are further away from the nucleus. When the electrons transition back to their lower energy states, they release energy in the form of electromagnetic radiation.
The radiation that is released includes a continuous range of wavelengths, which produce a continuous spectrum.Continuous spectra are important in astronomy because they help scientists learn about the temperatures of the objects producing the radiation. By analyzing the spectrum, they can determine the temperature of the object.
To know more about spectrum visit :
https://brainly.com/question/12157930
#SPJ11
In going from one city to another, a car whose driver tends to get lost goes 30km North, 50km west, and 20km southeast Approximately how far apart are the cities?
Answers
ANSWER:
39.21 km
STEP-BY-STEP EXPLANATION:
To determine the answer we track each move just like this:
Coordinates at the start (city A): (0, 0)
Coordinates after going 30 km north: (0, 30)
Coordinates after going 50 km west: (-50, 30)
Southeast is a move down and to the right of 45°, so we calculate at each coordinate, like this:
\(\begin{gathered} d_e=20\cdot\cos45\degree=10\sqrt{2} \\ \\ d_s=20\cdot\sin45\operatorname{\degree}=10\sqrt{2} \\ \\ \text{ Therefore:} \\ \\ x=-50+10\sqrt{2}=-35.86 \\ \\ y=30-10\sqrt{2}=15.86 \\ \\ \text{ Coordinates at the start \lparen city B\rparen: \lparen-35.86, 15.86\rparen} \end{gathered}\)We calculate the distance between both points as follows:
\(\begin{gathered} d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ \text{ we replacing} \\ \\ d=\sqrt{\left(-35.86-0\right)^2+\left(15.86-0\right)^2} \\ \\ d=\sqrt{1285.9396+251.5396}=\sqrt{1537.4792} \\ \\ d=39.21\text{ km} \end{gathered}\)The distance between both cities is 39.21 km
a stack of books rests on a level frictionless surface. a force f acts on the stack, and it accelerates at 3.0 m/s2. a 1.0 kg book is then added to the stack. the same force is applied, and now the stack accelerates at 2.0 m/s2. what was the mass of the original stack?
Answers
A stack of books rests on a level frictionless surface. a force f acts on the stack, and it accelerates at 3.0 m/s2. a 1.0 kg book is then added to the stack. the same force is applied, 2.0kg was the mass of the original stack.
The concept of the frictionless plane first appeared in the writings of Galileo Galilei. In his 1638 book The Two New Sciences, Galileo offered a formula that predicted the motion of an object falling down an inclined plane. His model was not based on experiments with objects moving down an inclined plane, but rather on his conceptual modeling of the forces acting against the object. His formula was based on earlier experiments with free-falling bodies. Galileo understood the mechanics of the inclined plane as a combination of horizontal and vertical vectors because gravity acting on the object and being redirected by the slope of the plane. Galileo's equations, on the other hand, do not take friction into account, and as a result, they do not accurately predict the results of a practical experiment. This is due to the fact that whenever one mass exerts a non-zero normal force on another, some energy is always lost.
To know more about frictionless please refer: https://brainly.com/question/13483826
#SPJ4
Twin sisters Paola and Maria have a slight difference in their handwriting. Paola slants her letters more than Maria does. Which of the following elements BEST describes the area in which their handwriting differs?
A.
mechanical
B.
physical
C.
style
D.
emotional
Answers
Answer:
C. Style
Explanation:
Because if your letters are slanted, it's not mechanical, is it? Neither is it emotional, since that's just not right. As for physical, how is your letters being slanted physical? Therefore, the best answer would be C. Style.
Brainliest, Please!I NEED THIS ANSWER QUICK!
About how much precipitation in the water cycle occurs over the ocean?
A) 15 percent
B) 50 percent
C) 78 percent
D) 100 percent
Answers
Answer:
Hello, I'm here to help you.
↬ 78%
Explanation:
↬ Think that about 70% of the area of the earth is covered by the ocean.
↬ So the precipitation that falls on it is a smiliar percentage.
Calculate how many half-lives have passed according to this bar graph and select the best answer, below.
a 1
b 2
c 3
d 4
Answers
(c) The number of half-lives that have passed according to the bar graph is 3.
What is half-life?The half life of a radioactive element or atom is the time taken for the element to decay to half of its original mass.
The number of half-lives that have passed according to the bar graph will be determined by comparing the radioactive element and the daughter element.
0 half-life -------- 0 daughter
1 half-life ----------- 10 daughter
2 half - life ------------ 20 daughter
3 half -life ------------ 30 daughter
Thus, the radioactive element have complete 3 cycles of half life before the daughter 30 is obtained.
Learn more about half life here: https://brainly.com/question/2320811
#SPJ1
A 48-year-old man complains of decreased muscle strength and exercise intolerance. Examination reveals a reduction in lean body mass and an increase in body fat. Thyroid hormone levels are normal. Which diagnosis is most consistent with these symptoms
Answers
The symptoms of decreased muscle strength and exercise intolerance, along with reduced lean body mass and increased body fat, suggest a possible diagnosis of sarcopenia.
This is a condition characterized by age-related loss of muscle mass and function. Sarcopenia is associated with a decline in physical performance, including reduced strength and endurance. While there are other possible causes of these symptoms, such as hormonal imbalances, sarcopenia is a common age-related condition that can contribute to functional decline and mobility problems. Treatment options for sarcopenia may include exercise, dietary changes, and medications to help improve muscle mass and function. It is important for individuals experiencing these symptoms to seek medical attention to determine the underlying cause and appropriate treatment plan.
To know more about mass visit :
https://brainly.com/question/28221042
#SPJ11