answer -
7 m/s^2
Explanation:
it goes 7m/s 14 / 2 = 7
A falling object with a mass of 2.55 kg encounters 4.0 N of air resistance. What is the acceleration of the object? (Choose up to be the positive direction, and remember the definition of weight).
The acceleration of the falling object with a mass of 2.55 kg that encounters 4.0 N of air resistance is 1.57m/s².
How to calculate acceleration?Acceleration is change of velocity with respect to time (can include deceleration or changing direction).
The acceleration of a body can be calculated by using the following expression;
a = F/m
Where;
a = acceleration (m/s²)F = force (N)m = mass (kg)According to this question, a mass of 2.55 kg encounters 4.0 N of air resistance. The acceleration of the object can be calculated as follows:
a = 4N ÷ 2.55kg
a = 1.57m/s²
Therefore, 1.57m/s² is the acceleration of the object.
Learn more about acceleration at: https://brainly.com/question/28767690
#SPJ1
A 32.0 kg crate is initially moving with a velocity that has magnitude 3.58 m/s in a direction 37.0 ∘ west of north. How much work must be done on the crate to change its velocity to 5.10 m/s in a direction 63.0 ∘ south of east?
The amount of work done on the crate to change its velocity is 211.1 J.
What is the work done on the crate to change its velocity?
The work done on the crate to change its velocity is calculated by applying the principle of conservation of energy as shown below.
Applying work-energy theorem, the work done in changing the velocity of the crate is equal to the change in kinetic energy of the crate as shown below;
W = ΔK.E
W = ¹/₂m(v₂² - v₁²)
where;
m is mass of the cratev₁ is the initial velocity of the cratev₂ is the final velocity of the crateW = ¹/₂m(v₂² - v₁²)
W = ¹/₂(32)(5.1² - 3.58²)
W = 211.1 J
Thus, the amount of work done on the crate to change its velocity from 3.58 m/s at 37.0 ∘ west of north to 5.10 m/s in a direction 63.0 ∘ south of east, is based on the principle of conservation of energy.
Learn more about conservation of energy here: https://brainly.com/question/166559
#SPJ1
Carbon -14 forms nitrogen -14 by? A.alpha decay B.gamma decay C.positron decay D.beta decay.
Nitrogen-14 is created through the beta decay of carbon-14. Beta particle emission occurs along with this kind of disintegration.
How does alpha decay work?The unstable nucleus emits alpha particles during this disintegration. A helium nucleus with two protons and two neutrons makes up an alpha particle. Additionally, it bears a +2 charge.
Beta decayThis kind of radioactive decay results in the emission of gamma rays. The process produces a lot of energy, yet the number of protons doesn't change.
How can carbon become nitrogen?Carbon has an atomic number of 6, while nitrogen has a number of 7. Since the only way that carbon-14 and nitrogen-14 differ from one another is in their atomic number. Nitrogen-14 is created through the beta decay of carbon-14. Only beta decay allows for the conversion of carbon-14 into nitrogen-14, and the number of protons remains constant.
To know more about Radioactivity, visit-https://brainly.com/question/1770619
#SPJ13
Motor oil, axle grease, and other lubricants are slippery. Why do you
think people spend the money to put these lubricants in their cars? Answer ASAP
Because there is less resistance, it is simpler to maneuver their vehicle and requires less effort.
How should we define force?The definition of force is physics states that when a mass-containing object is pushed or pulled, it alters its velocity. The ability to change a body's resting and moving state is actually possessed by force, an external agent. It moves and has a certain size.
What role does force play?Things move and, more precisely, change their motion as a result of force. The forces of magnetic forces and gravity are two examples of natural forces that humans have encountered. These two forces don't need to be in close proximity to each other to work because they act at a distance.
To know more about force visit:
https://brainly.com/question/13191643
#SPJ13
A turtle with a mass of 28.59 kg starts from rest and is pushed to the right on an ice rink upside down on its shell (he loves it I promise). He reaches the opposite end and ends up travelling at 5.18 m/s which takes 37.80 s. What would be the net force acting on the turtle?
The net force acting on the turtle would be 3.92N.
What is net force?
This is referred to as the total forces acting on an object.
Formula for calculating force on a body:
F= mv/t...........(i)
Formula for calculating net force:
Fnet= F₁ +F₂ +F₃ +F......FN ............(ii)
where,
F₁ +F₂ +F₃ +F......FN= force acting on the body.
From the Question:
Mass, M=28.59 kg
Velocity, V= 5.18 m/s
time, T =37.80 s.
Using equation (i)
F= mv/t
=28.59 kg*5.18 m/s
37.80 s.
=3.92N
Learn more about force on
https://brainly.com/question/23869352
#SPJ1
If I wanted to increase the current, but maintain the voltage in a USB 3.1 port that provides a current of 0.9 A and a voltage of 5 V, to which I have connected a device with 4 ohms of resistance, how would I have to associate several USB ports to achieve this?
To achieve an increase in the current delivered in the USB 3.1 port, at a constant voltage, the several USB ports must be connect in parallel to each other. This will ensure an increase in current and constant voltage.
What is the relationship between current and resistance?According to ohms Law the current flowing through an ohmic conductor is directly proportional to the voltage across the conductor.
V = IR
where;
I is the current in the circuitR is the resistance across the circuitV is the voltage across the circuitI = V/R
To increase the current at a constant voltage, the resistance must decrease.
In a parallel circuit, the current flowing in each circuit component is different while the voltage drop in each circuit component is the same.
Thus, to increase the current delivered in the USB port, and maintain the initial voltage, the several USB ports must be connect in parallel to each other.
Learn more about parallel circuit here: https://brainly.com/question/80537
#SPJ1
Part F
Imagine you were a sportscaster at the Olympics. You'd created a mathematical model similar to the one you just did. Imagine that you had a
computer program that could do an instantaneous analysis of video motion using that model. How could you use it in your sportscast?
A program that could do an instantaneous analysis of video motion will be useful it in a sportscast to analyze events as they occur.
Why will a program be needed?A motion video is defined as the display of video images at a rate (such as thirty frames per second) that causes objects to appear to move smoothly and continuously.
Sports inherently involve fast and accurate motion, which can be difficult for competitors to master but also for coaches and trainers to analyze and audiences to follow. Because of the nature of most sports, monitoring with sensors or other devices attached to players or equipment is generally not possible. This opens up a plethora of opportunities for the use of computer vision techniques to assist competitors, coaches, and the audience
Learn more about motion on:
https://brainly.com/question/27802581
#SPJ1
1. The mass of oil in a reservoir is 825kg. If the reservoir has a volume of 0.197m³.
Determine:
i.
ii.
The density of the oil
The specific weight of the oil
The specific gravity of the oil
Density, Specific Weight & Gravity of oil is 899.7 kg/m³, 8826.057 kg/m²s² and 0.8997 respectively.
Given: Mass =825kg, Volume =0.197m³
Density =Mass/Volume
=825/0.197
=899.7 kg/m³
specific weight= Density x Gravity
= 899.7 x 9.81 = 8826.057 kg/m²s²
Specific Gravity= Density/Density of water
=899.7/1000
=0.8997
To Know further about Density, Specific Weight & Gravity of oil-
https://brainly.com/question/14496519?referrer=searchResults
#SPJ1
Mendeleev arranged elements in order for increasing?
Answer: Relative Atomic Mass
Explanation: The closer the element is to the bottom-right corner, the higher the relative atomic mass. Hydrogen has the lowest relative atomic number at 1, whereas Lawrencium has the highest relative atomic mass at 262.
A 10Kg cannon shoots a cannon ball of mass 1kg that accelerates 20m/s2.
1) What is the force on the ball
2) What is the acceleration of the cannon?
1) The force on the ball is 20 N
2) The acceleration of the cannon is 2m/s2.
State Newton's 2nd law of motion
Newton's second law of motion, which is what we utilize, asserts that,
F= m x a
where:
F is the total force in newton.
m is the object's mass in kilograms.
In meters per second squared, a represents the object's acceleration.
1) Using this we find the force on the ball,
F = m x a
= 1 x 20
= 20 N
2) Newton's law states that every actoin has an equal and opposie reaction. Thus the force on the cannon, Fc will be equal to the force acting on the ball, Fb while it was shooted.
As such we can find the acceleration of the cannon using the equation:
Fc = Fb
m1 x a1 = m2 x a2
10 x a = 1 x 20
a = 20/10
a = 2 m/s2
Hence,
1) The force on the ball is 20 N
2) The acceleration of the cannon is 2m/s2.
To learn more about Second law of motion from the given link
https://brainly.com/question/2009830
#SPJ1
A person is falling from the top of a building. If they hit the ground they will die. A superhero swoops in from the side at high speed and catches them just before they reach the ground. The person is saved from harm.
Why does this defy physics? Give Equations/Laws to justify your answer.
This situation defies the laws of physics because the force required to stop the person from touching the ground would be too great that it would be equally fatal.
What laws should be considered in this situation?The first law to be considered is that an object will continue moving at a constant acceleration unless there is an unbalanced force that interrupts this. In other words the person will fall unless the supehero force is equally strong to the accelaration.
What is the problem with this?The main problem is that the superhero's speed and force would have to be about 160 miles per hour or even more to "save" the person. However, this would be even more dangerous than being hitted by a car and the person would immediately die due to the impact.
Learn more about physics in: https://brainly.com/question/27389083
#SPJ1
Consider a wooden cylinder of density 0.75g/cm³ floating in water with its axis perpendicular to the surface and the height is 15cm. How much of the cylinder will be under water?. If the radius were 10cm, how much would be under water? Suppose the cylinder is completely submerged and anchor in the water by a string, for the cylinder nof 10cm radius, what will be the force on the string?. Where g=9.8m/s, density of water=1g/cm³.
6923 N is the force on the string, Where g=9.8m/s, density of water=1g/cm³.
volume=2πrh
volume= 942 cm³
density= mass/volume
mass=density× volume
mass=0.75g/cm³× 942 cm³
mass=706 kg
F= mg
F=706×9.8
F= 6923 N
Every action that attempts to maintain, modify, or change the motion of a body is referred to as a force in mechanics. In his Principia Mathematica, Isaac Newton frequently used his three laws of motion to demonstrate the concept of force (1687).
According to Newton's first law, a body will remain in either its resting or equally moving condition along a straight route in the absence of an external force. The second law states that when an external force acts on a body, the body accelerates (changing velocity) in the direction of the force.
To know more about force visit : brainly.com/question/13191643
#SPJ9
Which of the following are projectiles (using the definition of a projectile)? (KEEP IN MIND, these are under normal circumstances unless otherwise stated) human walking meteor in Earth's atmosphere car driving airplane landing asteroid basketball being shot by Steph Curry ball on a rope , swinging around a pole (tetherball football thrown bird flying tennis ball served at 140 mph
The example of projectile is a basketball being shot by Steph Curry.
What is projectile?Projectile is any object propelled through space by the application of a force.
Projectile is used to describe any object that is cast, fired, flung, heaved, hurled, tossed, or thrown. For example, when a ball is thrown straight upward, or kicked.
In projectile motion, gravity is the only force acting on the object. This doesn’t necessarily mean that other forces do not act on it, just that their effect is minimal compared to gravity. The path followed by a projectile is known as a trajectory.
Other examples of projectile is as follows:
Firing a canonJavelin throwArcheryGun fireGolf ballTherefore, it can be said that a basketball being shot by a renowned basket baller into the air is an example of projectile.
Learn more about projectile at: https://brainly.com/question/11422992
#SPJ1
two vehicle are moving in same direction the first one has velocity of 24m/s another has 18m/s find their relative velocity & also their relative velocity when they are moving in opposite direction
The relative velocity of two vehicles moving in the same direction will be 42 m/s, whereas the relative velocity of two vehicles moving in different directions will be 8 m/s.
Let the velocities of the two vehicles be, v1 and v2, respectively.
Given,
The velocity of the first vehicle (v1) = 24 m/s
The velocity of the second vehicle (v2) = 18 m/s
Case-1
When they are moving in a same direction,
The relative velocity (V) of the two vehicles will be the sum of their velocities, i.e.,
V = v1 + v2
=> V = 24 + 18
=> V = 42 m/s.
Case-2
When the vehicles are moving in different directions,
The relative velocity (V) of the two vehicles will be the difference between the velocities, i.e.,
V = v1 - v2
=> V = 24 - 18
=> V = 6 m/s.
Therefore, The relative velocity of two vehicles moving in the same direction will be 42 m/s, whereas the relative velocity of two vehicles moving in different directions will be 8 m/s.
To learn more about relative velocity:
https://brainly.com/question/28703603
Which has the most momentum?
C: 150 g object at 5 m/s
D: 200 kg object at 2 m/s
A: 50 kg object at 5 m/s
B: 100 kg object at 10 m/s
Option D) 200 kg object at 2 m/s has the highest momentum.
What is momentum?
Momentum is calculated using Newtonian mechanics by multiplying an object's mass by its velocity.As a vector quantity with both a magnitude and a direction, it has both. Considering that an object's mass is m and its speed is v (also a vector quantity),Momentum formula, P = mv
p = momentum
m = mass \ velocity
The newton-second is a unit of measurement for momentum in the International System of Units (SI), and the kilogram metre per second (kg m/s) is its SI counterpart.
A) 50 kg object at 5 m/s
m = 50 kg
v = 5 m/s
Momentum, p = m x v
= 50 x 5
= 250 kg m/s
B) 100 kg object at 10 m/s
m = 100 kg
v = 10 m/s
Momentum, p = m x v
= 100 x 10
= 1000 kg m/s
C) 150 g object at 5 m/s
m = 150 g
= 0.15 kg
v = 5 m/s
Momentum, p = m x v
= 0.15 x 5
= 0.75 kg m/s
D) 200 kg object at 2 m/s
m = 200 kg
v = 2 m/s
Momentum, p = m x v
= 200 x 2
= 400 kg m/s
Hence, Option B has the highest momentum.
To learn more about momentum from the given link
https://brainly.com/question/1042017
#SPJ1
Two forces, F1=(1.65i−0.90j+1.15k) N F2=(−1.00i+1.20j) N are applied on a moving object of mass 0.20 kg. The displacement vector produced by the two forces is d=(10.0i+8.8j+5.1k)m. What is the work done by the two forces?
I need help with this question. please
Answer:
I don't Know espero que le entiendas
What happens to Fg if both masses double
A. Reduced by 1/2
B. increases by 2
C. Reduces by 1/4
D. Increases by 4
If both masses double, FG increases by 4.
What is Gravitational Force?
Gravity is a fundamental interaction that all objects with mass or energy experience due to its Latin root, gravitas, meaning "weight". Approximately 1038 times weaker than that of the strong interaction, 1036 times weaker than that of the electromagnetic force, and 10^29 times weaker than the weak interaction, gravity is by far the weakest of the four fundamental interactions. The level of subatomic particles is therefore unaffected by it significantly. The motion of planets, stars, galaxies, or even light is controlled by gravity, which is the most important interaction between objects just at macroscopic level.
What happens to Fg if both masses double?
The gravitational force increases by 4, when both the masses double.
F = Gm1m2/r2
If both masses double, then
m1 = 2m1 , m2 = 2m2
F = G(2m12m2)/r2 ⟹
F = 4F
Thus gravitational force becomes 4 times.
To learn more about Gravitational force from the given link
https://brainly.com/question/24783651
#SPJ1
A cap 6.000 cm in diameter plugs an opening in a spherical container 1.000 m in diameter at atmospheric pressure. The container is submerged to a depth of 10.00 ft in water. Assume the plug is planar and the pressure over the container is equalized. The force needed to remove the plug is closest to?
The force needed to remove the plug that is 6.000 cm in diameter which plugs an opening in a spherical container 1.000 m in diameter at atmospheric pressure is 85 N
P = F / A
P = ρ g h
P = Pressure
F = Force
A = Area
ρ = Density
g = Acceleration due to gravity
h = Height
ρ = 1000 kg / m³
g = 9.8 m / s²
h = 10 ft = 3.048 m
A = π r²
d = 6 cm = 0.06 m
r = d / 2 = 0.06 / 2
r = 0.03 m
A = 3.14 * 0.03 * 0.03
A = 0.002826 m²
Equating both formulae of P,
F / A = ρ g h
F = 1000 * 9.8 * 3.048 * 0.002826
F = 85 N
Therefore, the force needed to remove the plug is closest to 85 N
To know more about pressure and force
https://brainly.com/question/20739794
#SPJ1
A car accelerated uniformly from rest and attained a velocity of 8m/s. it then travels with the uniform velocity of for the next 22 seconds and later brought to rest in 5 seconds
(a )draw the velocity time graph
(b.) calculate the total distance covered (c.) calculate the distance covered after 25 seconds.
Answer:
See below
Explanation:
See diagram below
8 seconds to 60 m/s then 60 m/s for 22 seconds then to 0 m/s in 5 seconds
A rocket initially at rest on the ground lifts off vertically with a constant acceleration of 2.0 x 10¹
meters per second². After 30 seconds of flight, how high has it reached?
It take 3.03 sec long to the rocket to reach an altitude of 9.0* 10^3.
What is altitude?
Altitude is the height of an object or point in relation to sea level or ground level.It is the apparent height of celestial object above the horizon, measured in angular distance.
Sol-A sign simply indicates multiplication operation.
As per the question we have given- a=accelaration =-2*101=-202m/s^2
(We use negative sign here because it opposes the gravitational force)
d= distance/altitude =9*103= 927 meters
V= initial velocity= 0 m/s
T = Time substituting,927=3.03 second.
To know more about altitude
click- https://brainly.com/question/1511617
#SPJ1
A moving object is moving with a speed of 20m/s on the line y=√3x +1. How many meters does it move in the x direction in 3 seconds?
how can i solve it?
2077 m distance it move in the x direction in 3 seconds
speed=distance/time
distance=speed × time
distance= 20×3
√3x +1=60
x=119
put x's value in equation
distance= 2077 m
Distance, which is independent of direction, is the length between two points or things. Distance solely considers the overall magnitude and disregards the start and finish places because it is a scalar attribute. Distance can only have a positive or zero value because it is a scalar attribute; it cannot be negative.
The meter (m) is the most widely used unit of measurement for distance, however kilometers (km) can also be used to describe longer distances and centimeters (cm) or millimeters can be used to express shorter distances (mm). The distance traveled is frequently represented by the letter D when computing distance.
To know more about distance visit : brainly.com/question/12626613
#SPJ9
ASTRONOMY QUESTION
Over what range of distances from the Sun would you expect to find solid, rocky material collecting together to form a terrestrial planet?
Group of answer choices
A) 5 - 50 AU
B) beyond 50 AU
C) 0.2 - 5 AU
D) 0 - 0.2 AU
The range of distances from the Sun that you would expect to find solid, rocky material collecting together to form a terrestrial planet is option (C) 0.2 - 5 AU.
What is formation of a terrestrial planet about?Jovian planets can be found at distances of 2 AU to 50 AU or more. This is the area where the early Solar System's temperature was below 273 K, water's freezing point.
Therefore, While rocky and metallic materials (Terrestrial planets) might have condensed over the whole range of distances from the Sun, only the rocky material could have accumulated over the range from 2 AU and inwards. H and He may have also been captured by the planet if it had been further from the Sun than 2 AU, which would have made it a Jovian or gas giant planet.
Learn more about Terrestrial planets from
https://brainly.com/question/3406478
#SPJ1
Please help! I don't understand how to do this!
A babysitter pushing a stroller starts from rest and accelerates uniformly at a rate of 0.778 m/s^2. What is the velocity of the stroller after it has traveled 5.54 m?
A babysitter pushing a stroller starts from rest and accelerates uniformly at a rate of 0.778 m/s^2. The velocity of the stroller after it has traveled 5.54 m will be 2.94 m/s
acceleration = 0.778 [tex]m/s^{2}[/tex]
distance = 5.54 m
initial velocity = 0
velocity of the stroller after it has traveled 5.54 m = ?
2as = [tex]v^{2} - u^{2}[/tex]
2 * 0.778 * 5.54 = [tex]v^{2}[/tex] - 0
v = 2.94 m/s
The velocity of the stroller after it has traveled 5.54 m will be 2.94 m/s
To learn more about acceleration here :
https://brainly.com/question/2303856
#SPJ1
A space station in the form of a large wheel,
356 m in diameter, rotates to provide an “artificial gravity” of 5.1 m/s2 for people
located at the outer rim.
What is the frequency of the rotational mo-
tion for the wheel to produce this effect? Answer in units of rev/min.
The frequency of the rotational motion for the wheel to produce this effect 1.62 rev/min.
What is the angular speed of the wheel?
The angular speed of the wheel is calculated by applying the formula for centripetal acceleration of the wheel.
a = v²/r = ω²r
where;
ω is the angular speed of the wheel in radian per secondsr is the radius of the wheelThe radius of the wheel = 356 m / 2 = 178 m
ω = √a/r
ω = √(5.1/178)
ω = 0.17 rad/s
The angular speed in revolution per minute is calculated as follows;
ω = 0.17 rad/s x 1 rev/2π rad x 60 s/1min
ω = 1.62 rev/min
Learn more about angular speed here: https://brainly.com/question/6860269
#SPJ1
1. An object is dropped to the ground and its momentum increases. Explain how the law of
conservation of momentum and Newton's third law of motion can be applied to this
situation.
An object is dropped to the ground and its momentum increases. Due to this influence of the earth's gravitational pull, the total momentum of the free-falling body is conserved and earth and object is exerting equal and opposite forces on each other , hence newton's third law of motion is also applied
When a body is freely falling , both the body and earth will exert an equal and opposite force on each other due to newton's third law of motion which says every action has a reaction .
The Earth itself accelerates (ever so slightly) toward the object at the same time. The opposite-direction velocity of the Earth will be exactly proportional to the ratio of the object's mass to Earth's mass, thus exactly balancing momentum , hence momentum is conserved .
To learn more about momentum here :
https://brainly.com/question/4956182
#SPJ1
Brooke is learning about electronic devices that use electric current to encode information. She learns that when a person speaks into the microphone of a telephone, the sound wave generated by the person’s voice is changed into an electronic signal. This electronic signal is then transmitted to another telephone where it is converted back to a sound wave so the other person can hear the voice. The sound wave is encoded by varying the voltage of the electronic signal. Brooke learns that the voltage can be changed in two ways, resulting in two types of electronic signals: analog and digital. Figure 1 and Figure 2 represent these two types of signals.
Identify the type of signal represented by each figure. Explain your reasoning.
The signals in this problem are classified as follows:
Figure 1: Digital signal.Figure 2: Analog signal.What are analog and digital signals?Analog signals are signals that are continuous in both domain and range, meaning that it can assume decimal values, hence it's graph is represented by a continuous curve.
Digital signals are signals that are discrete in both domain and range, meaning that it assumes only integer values, hence it's graph is composed by pulses.
Hence the classification of the signals for each figure in this problem are given as follows:
Figure 1: Digital signal, as the graph is composed only by pulses.Figure 2: Analog signal, as the graph is represented by the continuous and oscillating curve.More can be learned about analog and digital signals at https://brainly.com/question/22858440
#SPJ1
A tennis ball with a mass of 0.2 kg is thrown upwards from the ground at a velocity of 30 m/s. What
is the height of the ball when it has a velocity of 20 m/s?
The height of the ball when it has a velocity of 20 m/s is 45m.
What is mass?
It is the most fundamental feature of matter and one of the fundamental quantities in Physics. Mass can be defined as the amount of matter in a body. Kilogram is the SI unit of mass (kg).
It should be noted that a body's mass does not alter with time. Only in severe instances where a massive amount of energy is provided or removed from the body. In a nuclear reaction, for example, a tiny bit of matter is turned into a massive amount of energy, reducing the mass of the substance.
Given Initial velocity of ball, u=30 m/s
Let the maximum height reached and time taken to reach that height be H and t respectively.
Assumption: g=9.8 m/s2
holds true (maximum height reached is small compared to the radius of earth)
30/g=30/9.8=3 seconds
as the time taken to reach max height.
h(3)=-4.9(3²)+30(3)
=90–45
=45m
The height of the ball when it has a velocity of 20 m/s is 45m.
Learn more about mass from given link
https://brainly.com/question/19385703
#SPJ1
I have three energy levels, with 10 electrons in my outer energy level. What am I?
I have three energy levels, with 10 electrons in my outer energy level. I am calcium.
What are energy levels?Energy levels refer to the regions around an atom where electrons can be found.
The energy levels are given by the principal quantum number, n.
Electrons in an atom are arranged in energy levels.
An atom that has three energy levels belong to period 3 of the periodic table.
The outermost energy level for an atom that has three energy levels is energy level 3.
The atom that has 10 electrons in the outermost energy level of 3 will have 10 + 8 + 2 electrons = 20 electrons.
The element is calcium.
Leran more about energy levels at: https://brainly.com/question/28101665
#SPJ1
A projectile is fired horizontally at 180 m/sec from an altitude of 734.7 m. What is the final vertical velocity of the projectile as it hits the ground?
Answer:
216 m/s
Explanation:
Final velocity will be resultant of the initial horizontal velocity ( 180 m/s) and the vertical velocity from falling 734.7 m
Verital vf = at need to find time
df = 734.7 = 1/2 a t^2
t= 12.2 sec
vf = at
= 9.81 (12.2) = 120 m/s
Just before hotting the ground,
resultant velocity = sqrt(180^2 + 120^2) = 216 m/s
Three miles of an ideal gas kept at constant temperature 300K are compressed from volume of 4L to 1L. Calculate work done in the process where R = 8.31 J/mol/K
[tex]{ \boxed{ \red{ \sf{W = 10370.652 \: J}}}}[/tex]
Explanation:
Given,
[tex]{ \blue{ \sf{μ = 3}}}[/tex]
[tex]{ \blue{ \sf{ T= 300K}}}[/tex]
[tex]{ \blue{ \sf{ V_{1} = 4L}}}[/tex]
[tex]{ \blue{ \sf{ V_{2} = 1L}}} [/tex]
[tex]{ \blue{ \sf{W = \: ?}}}[/tex]
[tex]{ \blue{ \sf{R = 8.31 \: J/mol/K}}}[/tex]
[tex]{ \purple{ \sf{W = μRT \: l_{n}[ \frac{ V_{2}}{ V_{1} }}]}} [/tex]
[tex]{ \purple{ \sf{W = μRT[ l_{n} V_{2} - l_{n}V _{1}}]}}[/tex]
[tex]{ \purple{ \sf{W = 2.303μRT[ log_{1} - log_{4}]}}}[/tex]
[tex]{ \purple{ \sf{W = 2.303 \times 3 \times 8.31 \times 300(0 - 0.6021)}}}[/tex]
[tex]{ \purple{ \boxed{ \green{ \sf{W = 10370.652 \: J}}}}}[/tex]
