Answer:
A.) Equal Forces act in equal times, so the change in momentum for both objects must be equal.
(Hope this helps! Btw, I am the first to answer.)
A person has a reasonable chance of surviving a car crash if the deceleration is no more than 30 'g's (g=9.8m/s2). Calculate the force on a 70 kg person undergoing this acceleration. What distance is travelled if the person is brought to rest at this rate from 100 km/h?
Thus, the distance traveled by automobile is [tex]=1.31m[/tex]
How do you find the distance traveled by automobile?Newton's second law can be used to compute the force being applied to the subject. The force is calculated as the product of the vehicle's acceleration and the person's mass. Newton's third law can be used to calculate the distance driven by a car.The mass of the person is [tex]m=65kg[/tex]
The deceleration of the automobile is [tex]a=30g[/tex]
The acceleration due to gravity is [tex]g=9.81m/s.[/tex]
The initial velocity of the automobile is [tex]v_{i}=100 km/h*\frac{1m/s}{3.6km/h} =27.78m/s[/tex]
Determination of the force exerted on the person:
The force applied to the person can be calculated using Newton's second law as follows:
[tex]F=ma[/tex]
[tex]30g[/tex]Here, m denotes the person's mass, while a denotes the car's acceleration. Because the driver is moving at 30g, the car's acceleration is assumed to be positive.
Substitute the values as 70 kg for [tex]m,(30g)[/tex] for a, and[tex]9.81m/s^{2}[/tex]
for g in the above equation.
[tex]F=70kg*30g[/tex]
[tex]=70kg*30g*9.81m/s^{2} (\frac{1N}{1kg*m/s^{2} })[/tex]
[tex]=20,601N[/tex]
Thus, the force acting on the person is [tex]=20,601N[/tex]
Determination of the distance traveled by automobile:
The final velocity of the car can be calculated using Newton's third law and represented as follows:
[tex]v_{f} ^{2}=v_{i} ^{2}+2ad[/tex]
[tex]d=\frac{v_{f} ^{2}=v_{i} ^{2}}{2a}[/tex]
Here [tex]v_{f}[/tex] is the final velocity of the automobile. The final velocity of the automobile becomes 0 m/s as the automobile comes to rest. The acceleration is taken to be negative because the automobile is decelerating at [tex]30g[/tex]
Substitute the values as [tex]0 m/s[/tex] for[tex]v_{f} =27.78m/s[/tex], for[tex]v_{i} ,(-30g)[/tex], for a, and [tex]9.81m/s^{2}[/tex]for g in the above equation.
[tex]d=\frac{(0 m/s)^{2} - (27.78m/s)^{2} }{2*(-30)*9.81m/s^{2} }[/tex]
[tex]=1.31m[/tex]
Thus, the distance traveled by automobile is[tex]=1.31m[/tex]
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explain how the energies associated with the outer orbital electrons (e-) of the cl and h atoms drives this reaction from left to right. feel free to use the analogy of val the waitress, but demonstrate that you understand the concept involved.
Electron configuration is the distribution of electrons of an atom in the atomic orbitals in the increasing order of their atomic energies.
As a result, the orbitals are filled in the following order: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s, 5f, 6d, 7p
The electrons found in the outermost shell are referred to as
valence electrons. In contrast, the electrons found in the innermost shell or the lowest energy levels are called core electrons.
(A) The electron gain enthalpy is exothermic and is more than those required for dissociation and I.E of H
(B) If total heat of the reaction is negative , it is clear that the reaction proceed from left to right.
The ground-state electron configuration of a noble gas is ns2 np6
The noble gas elements' shells are completely filled, resulting in a stable electronic configuration. Hence, removing the first electron from the stable configuration necessitates a great amount of energy.
Thus, noble gases have a high ionization energy value.
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The south pole of a bar magnet is brought toward the current loop of (Figure 1). Part A Does the bar magnet attract, repel, or have no effect on the loop? Explain. Match the words in the left column to the appropriate blanks in the sentences on the right.
Given a current loop, find the direction of the magnetic field using the right-hand rule The magnetic field created by the current loop goes from right to left.
Current travels clockwise (relative to the magnet), so now bend the fingers of your right hand clockwise and point your thumb in the direction of the magnetic field.
This creates a magnetic dipole with the north pole on the left and the south pole on the right.
Now, in a magnet, opposite poles attract and like poles repel, so if we move the magnet towards the loop as shown in the figure, his south pole of the magnet will be repelled by the nearest south pole of the current loop. increase.
Magnetic field in current loopA current in a circular loop creates a magnetic field that is more concentrated in the center of the loop than outside it. Stacking multiple loops further concentrates the field in what is called a solenoid.
What is the magnetic moment of the current loop?The magnetic moment m of a current loop is a vector whose magnitude is equal to the area of the loop times the magnitude of the current flowing through it (m = IA) and whose direction is perpendicular to the plane through which the current flows. .
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An electric motor on a rowboat does 4000 J of work in 1 minutes. What is the Power of the motor in watts
The power of the motor in watts is 4000 W.
Power (P) = Work (W) / Time (t)
P = 4000 J / 1 min
P = 4000 J/s
1 J/s = 1 W
P = 4000 W
What is power?
Power is a measure of energy transfer over time. In physics, it is the rate of energy transfer, usually measured in Watts (W) or Joules per second (J/s). Power is the rate at which work is done or energy is converted from one form to another. It can be calculated by multiplying the force applied to an object by the speed at which it moves. Power is related to work, as work is equal to the amount of energy transferred, divided by time. Power is an important concept in physics as it is used to calculate the energy required to perform a task.
Therefore, The power of the motor in watts is 4000 W.
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A car drives to 15 KN east and then 45 cam North what is the magnitude of the cars displacement
The resultant displacement of the car can be determined using Pythagorean theorem. The magnitude of car's displacement here is 47.3 Km.
What is displacement ?Displacement is a vector quantity measuring the change in position of an object. It can be used in short term distances. Displacement have both magnitude and direction.
Given , distance to travelled to east = 15 km
to the north = 45 km
then, the two points if connected will form a triangle where we can use the Pythagorean theorem to find the resultant vector.
The resultant displacement = √(45² + 15 ²) = 47.3 km
Therefore, the displacement of the car is 47.3 km.
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In shallow water of depth d the speed of waves is approximately v=√gd.
Find the speed of a wave with a wavelength of 2.6 cm in water that is 0.85 cm deep.
Find the period of a wave with a wavelength of 2.6 cm in water that is 0.85 cm deep.
the speed and period of a wave with a wavelength of 2.6 cm in water that is 0.85 cm deep is 28.8 cm/s and 0.09s respectively.
What are wavelength and frequency?The wavelength, which will also apply to troughs, is the separation between two wave crests. The number of vibrations that pass over a specific place in a second is known as the frequency and is expressed in cycles per second (Hz) (Hertz).
v=[tex]\sqrt{gd}[/tex]
=> [tex]\sqrt{9.8 x 0.0085}[/tex]
=> 0.288m/s => 28.8 cm/s
f, frequency = velocity/wavelength = 1/period
=> 28.8/2.6 = 1/period
Period = 0.09s
What happens as wavelength gets longer?A wavelength's frequency and energy (E) drop as it gets longer. These equations show that as the frequency increases, the wavelength decreases. The wavelength lengthens as the frequency drops. The two main categories of waves are electromagnetic and mechanical.
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under what condition will you and a friend share the same realm of spacetime?
These two situations will allow you and a friend to share the same region of spacetime: you are both side by side and travelling at constant speed; or you are both side by side and at rest.
A particle gains constant velocity when it crosses an equal-length linear path multiple times at regular intervals. The uniform speed of a particle travelling in a straight line at a constant speed is another definition. This means that the particle will move along a straight line at constant speed. In physics, the concept of spacetime refers to a mathematical model that unifies an inertial reference frame of space and time (x, y) with a non-inertial reference frame of space and time (x', t') to create a four-dimensional model that connects a position to the field.
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You apply a force on an object that is 100 times its mass. The acceleration of the object will be 100m/s^2. After a while, it perpendicularly hits another object with a mass 10 times smaller than the first object. When they collide, in theory, the momentum of the first object will all get transferred into the small object. And that means, the heavy object will completely be at rest, while the smaller object will have a force applied to it by the big object equal to ma. In real life, it seems that when two objects collide, the bigger object doesn’t completely stop and just pushes the smaller or the same massed object. In real life, it seems that when the collision happens, the first object continues moving towards the other object, and doesn’t completely get at rest right after the collision. Why is that?
The bigger object will move some distance because the initial and final momentum of the colliding particles are not zero.
What is momentum?The term momentum has to do with the product of mass and velocity. We know that during a collision, momentum is conserved. This implies that the momentum before collision is equal to the momentum after collision. Thus, the total momentum of the system is constant.
Given the fact that the initial and final momentum of the colliding particles are not zero, the the big object is not going to stop immediately but must move some distance towards the smaller object.
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The angle of incidence when light travels from air to water of refractive index 4/3 and then to glass of refractive index 1.60 is 60 degrees. Calculate the angle of refraction in the glass.
The angle of refraction in the glass is 37.51 degree
How can we calculate the angle of refraction in the glass?The angle of incidence when light travels from air to water of refractive index 4/3 and then to glass of refractive index 1.60 is 60 degrees. To calculate the angle of refraction in the glass, we can use Snell's law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indices of the two materials.
Sin(incident angle) / Sin(refraction angle) = (refractive index of air) / (refractive index of glass)
sin(60) / sin(x) = 1 / 1.60
where x is the angle of refraction in the glass.
Solving for x,
x = sin^-1(sin(60) / 1.60)
= sin^-1(1 / 1.60)
= sin^-1(0.625)
=37.51 degree
Therefore, the angle of refraction in the glass is 37.51 degree.
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What is the radial distance between the 500 VV equipotential surface and the 1000 VV surface?
Express your answer with the appropriate units.
The radial distance between the 500 VV equipotential surface is 34.2 m, and the 1000 VV surface is 17.1 m .
What is distance ?
Distance is the overall distance that an object actually travels along its course. The displacement of an object between two points is the smallest straight-line distance between those two points, measured from one position to the other. The metric system is used to measure both displacement and distance (m).
What is equipotential surface ?
When a surface has an equipotential potential, all of its points have the same electric potential. The charge will have the same potential energy at any location along the equipotential surface as a result.
V = k Q / r
(a) 500 V = (9 x 109 ) (1.90 x 10-6 ) / r1
r1 = 34.2 m
and 1000 = (9 x 109 ) (1.90 x 10-6 ) / r2
r2 = 17.1 m
distance between them = r1 - r2 = 17.1 m
(B) for 1500 V
1500 = (9 x 109 ) (1.90 x 10-6 ) / r3
r3 = 11.4 m
distance = r2 - r3 = 5.7 m
Therefore, radial distance between the 500 VV equipotential surface is 34.2 m, and the 1000 VV surface is 17.1 m .
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A cat runs and jumps from one roof top to another which is 5 meters away and 3 meters below
Answer: 6.45 m/s
Explanation:
Find out the time value
3 = 1/2*a*T^2
6/10 = t^2
t = 0.77 seconds
and the distance is given as 5 m
thus speed,= distance/time.
Putting values,
speed = 5/0.77
= 6.45 m/s
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If a car travels 200 meters in 10 seconds, what is the car's speed?
A. 200 m/s
B. 210 m/s
C. 10 m/s
D. 20 m/s
The speed of the car is 20 m/s. Therefore, Option D is correct
We know that Speed (S)= Distance (D) / Time (T)
Here, Distance (D)= 200 meters
Time (T) = 10 seconds
Therefore,
Speed= 200/10
Speed= 20m/s
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Four quantum particles, each with energy E, approach the potential-energy barriers seen in the figure (Figure 1)from the left.
Rank in order, from largest to smallest, the tunneling probabilities (Ptunnel)a to (Ptunnel)d.
Rank from largest to smallest. To rank items as equivalent, overlap them.
Rank from largest to smallest, To rank items as equivalent, overlap them is Pd>Pa>Pb>Pc.
What is quantum particles ?
A quantum particle has a complex wave function that is square-integrable and has the form (x1,... xN), where ||2 is the probability density of finding N particles at positions x1,x2,... xN. These places are taken to be inside a square box of size d, with side length L, periodic boundary conditions, and position V.
What is potential energy ?
Potential energy is a form of energy that can be stored but is affected by the way a system's component elements are assembled. A steel ball is more energetic when it is raised above the ground than when it is lowered.
Therefore, rank from largest to smallest, To rank items as equivalent, overlap them is Pd>Pa>Pb>Pc.
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What is the equation used to find the angle of refraction? Identify each variable. (1 point)
Answer:
pictures please
Explanation:
I need a picture so I can tell you
A 1,100kg car is turning on a flat roadway, moving in a circle with a radius of 12m. The car is going maximum speed through the turn without skidding. If the coefficient of friction between the car and the road is 0.57, find the speed of the car.
speed = ___ m/s (round to the nearest tenth)
Answer: 20.7 m/s.
Explanation: To find the speed of the car, we need to use the equation for centripetal force, which is:
Fc = m * a = m * v^2 / r
where Fc is the centripetal force, m is the mass of the car, a is the centripetal acceleration, v is the velocity of the car, and r is the radius of the turn.
We know that the coefficient of friction between the car and the road is 0.57
and it is the maximum speed, so the force of friction is equal to the centripetal force.
f = Fc = m * a = m * v^2 / r
f = μ * N = μ * m * g
so
m * v^2 / r = μ * m * g
where g is the acceleration due to gravity.
By substituting the known values into the equation, we get:
(1100 kg) * v^2 / (12 m) = (0.57) * (1100 kg) * (9.8 m/s^2)
Solving for v, we get:
v = sqrt((0.57 * 9.8 * 12 * 1100) / 1100)
v ≈ 20.7 m/s
To the nearest tenth, the speed of the car is 20.7 m/s.
Jumbo is back! Jumbo is the 4.8-Mg elephant. This time he's standing at the outer edge of a 11-Mg turntable of radius 8.5 m, rotating with angular velocity 0.15 s?1 on friction less bearings. Jumbo then walks to the center of the turntable. Treat Jumbo as a point mass and the turntable as a solid disk.
Part A: Find the magnitude of the angular velocity of the turntable once Jumbo reaches the center. ?t = ? rad/s
Part B: Find the work Jumbo does in walking to the center. W = ?
Consequently, the turntable's angular velocity when the elephant reaches its center is [tex]$1.459 \mathrm{rad} / \mathrm{sec}$[/tex]
The giant performs 37945.68J of work while walking to the center.
Using conservation of angular momentum
[tex]& I_1 \omega_1=I_2 \omega_2[/tex]
Where [tex]I_1[/tex] is equal to [tex]& \left(\frac{1}{2} M r^2+m r^2\right)[/tex]
Substitute the value in above equation we get,
[tex]& \left(\frac{1}{2} M r^2+m r^2\right) \omega_1=\left(\frac{1}{2} M r^2\right) \omega_2[/tex]
Notice that [tex]$I_2$[/tex] (moment of inertia for elephant) is zero as he is at the centre.
Given M is equal to 11 Mg.
where m is equal to 4.8Mg
While radius is given as 8.5m
Substitute the value in above angular momentum equation we get.
[tex]& \left(\frac{1}{2} \times 11000 \mathrm{~kg} \times(8.5 \mathrm{~m})^2+4800 \mathrm{~kg} \times(8.5 \mathrm{~m})^2\right) 0.15 \mathrm{rad} / \mathrm{sec}[/tex]
Further we get
[tex]\\=\left(\frac{1}{2} \times 1100 \times(8.5)^2\right) \omega_2[/tex]
[tex]& (39737.5+346800) 0.15=39737.5 \omega_2 \\& \omega_2=1.459 \mathrm{rad} / \mathrm{sec}[/tex]
Angular velocity of the turntable when the elephant reaches the center is [tex]$1.459 \mathrm{rad} / \mathrm{sec}$[/tex]
(b)
Work done is equal to change in rotational kinetic energy
[tex]\mathrm{W} & =\frac{1}{2} I_2\left(\omega_2\right)^2-\frac{1}{2} I_1\left(\omega_1\right)^2[/tex]
Substitute the value in above equation we get,
W=42294.23 - 4348.55
W=37945.68J
Work done by the jumbo in walking to the centre is 37945.68J
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Which statement about alcohol's path through the human body is true?
a.
alcohol is metabolized by the kidneys
b.
no digestion is needed in alcohol absorption
c.
most alcohol is absorbed through the stomach lining
d.
consumption of food will stop alcohol from entering the bloodstream
No digestion is needed in alcohol absorption. Is statement about alcohol's path through the human body .
What is absorption in biology?
Absorption is the process by which the products of digestion are absorbed by the blood to be supplied to the rest of the body. During absorption, the digested products are transported into the blood or lymph through the mucous membrane.
What is meant by adsorption and absorption?
Adsorption and absorption mean quite different things. Absorption is where a liquid is soaked up into something like a sponge, cloth or filter paper. The liquid is completely absorbed into the absorbent material. Adsorption refers to individual molecules, atoms or ions gathering on surfaces.
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what is the magnitude of the total flux through the five non-shaded faces?
The magnitude of the total flux through the five non-shaded faces is 5 times the magnitude of the flux through a single face.
What does total flux mean?
Total flux is a measure of the overall rate of flow of a physical quantity, such as energy or particles, through a given surface or region. It is typically expressed as the total amount of the physical quantity that passes through the surface or region per unit time.In other words, total flux is a measure of the overall rate at which something is being transferred across a given area.
What does Magnatitude means?
Magnatitude is a term used to describe the strength or intensity of something, such as an emotion, a physical force, or an event. It is often used to describe the intensity of an earthquake, hurricane, or other natural disaster. In some cases, the term can also be used to describe the power of a person or group, such as the magnatitude of a leader's influence or the magnatitude of a corporation's reach.
Therefore, the magnitude of the total flux through the five non-shaded faces is 5 times the magnitude of the flux through a single face, or 5F, where F is the magnitude of the flux through a single face.
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The cathode-ray tubes that generated the picture in early color televisions were sources of x rays. If the acceleration voltage in a television tube is 14.6 kV , what are the shortest-wavelength (in nm) x rays produced by the television? (Modern televisions contain shielding to stop these x rays.)
The shortest-wavelength (in nm) x rays produced by the television is when a cathode-ray tubes that generated the picture in early color televisions were sources of x rays is 0.85Å.
Given the accelerating voltage in a television tube (V) = 14.6KV
We know that from energy equation E = eΔV where e is the charge.
Also E = hc/∧ where h is planck's constant, c is the speed of light and ∧ is the wavelength of light.
So by comparing above equations, we say that
eΔV = hc/∧ where hc = 1240eV
e x 14.6 x 10^3 V = 1240/∧ eV
∧ = 1240/14.6 x 10^3 = 8.5 x 10^-2 nm = 0.85Å.
Hence the the shortest-wavelength (in nm) x rays produced by the television is 0.85Å.
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A 5 kg mass is attached to a spring with a spring constant of 490 N/m. The spring is stretched 14 cm from equilibrium and released at t = 0 s. a) Write the equation for the position as a function of time. b) What is the position of the spring at t = 0.25 s?
(a) The equation for the position as a function of time is x (t) = 14 cos(9.9t).
(b) The position of the spring at t = 0.25 s is -11 cm.
What is the angular speed of the spring?
The angular speed of the spring is calculated as follows;
ω = √ ( k / m )
where;
k is the spring constantm is the mass of the springω = √ ( 490 / 5 )
ω = 9.9 rad/s
The equation for the position as a function of time is written as;
x (t) = A cos(ωt)
where;
A is the amplitude = 14 cmω is the angular speed = 9.9 radx (t) = 14 cos(9.9t)
when the time, t = 0.25 s
x (0.25) = 14 cos ( 9.9 x 0.25 )
x (0.25) = -11 cm
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What is it in Einstein's Relativity Theory that made others believe that something like wormholes exists?
Answer: proposing the existence of "bridges" through space-time
Sorry if this isn't helpful.
Explanation:
Which of the following are properties of mechanical waves?
A. The particles of the medium always move parallel to the wave
motion.
B. Particles of the medium move back and forth, but do not move
with the wave.
C. Wave motion begins with a disturbance in the medium.
D. Waves transport energy from a source outward, away from the
source.
A wave in which the particles of the medium move in the same direction as the wave is a longitudinal wave.
What is longitudinal wave?Longitudinal waves are waves in which individual particles in the medium move parallel to the direction of propagation of the disturbance.Particles do not move from one place to another, they just oscillate back and forth around their rest position.Longitudinal waves are waves in which the displacement of the medium occurs in the same direction as the direction of the traveling wave. The distance between the centers of two successive compression or thinning regions is defined by the wavelength λ.In longitudinal waves, particles move parallel to the direction of wave propagation. An example of a longitudinal wave is compression traveling along a slinky. Horizontal longitudinal waves can be created by pushing or pulling the Slinky horizontally.To learn more about longitudinal wave from the given link:
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also due rn sooo thx
Earth's most recent glacial period ended about 11,500 years ago.
The Great Oxygenation Event began about 2.3 billion years ago.
About 160 years ago carbon dioxide began increasing exponentially to unprecedented levels.
What is the glacial period?A glacial period is described as an interval of time within an ice age that is marked by colder temperatures and glacier advances.
There are three types of continental glaciers, and they include:
ice sheets, ice caps, and outlet.An ice sheet covers an area larger than 50,000 square kilometers. Greenland and Antarctica and are covered by massive ice sheets today.
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what would be the radius of a 23892u nucleus if it had the density of the earth?
Since volume grows as a cube of radius, a planet with a 1.5 earth radius would have a volume that is 1.53, or roughly 3.375 times that of the current Earth.
Given that Earth has a density of 5.513 g/cm3, its new density would be around 1.63 g/cm3 if its radius were doubled by 50% but its mass remained constant. Jupiter has a density of 1.326 g/cm3 as a point of comparison. However, it's possible that you're referring to what would happen if both size and mass were scaled appropriately, making this new Earth identical to existing super-earths with 1.5 earth radii. The density would then be around 6-7 g/cm3.
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Velocity and Acceleration Problem
Answer:
velocity is a hell of a drug treatment classes in the position you are offering to help you with your medical needs and your needs and your needs and your needs and your needs for the future and to be getting your son in a better place for the better of the richest of his family and his life in the world.
Explanation:
no exceptions
Solve the following numerical problems
Answer:
See below
Explanation:
To change C to F°
F = 9/5 C + 32
= 9/5 ( 45) + 32 = 113° F
To change F to C° <= you could use the same equation...or re-earrange to:
C = 5/9 (F-32)
= 5/9 ( 98.6 - 32) = 37° C
Similarly
100 C = 212 ° F
to change C ° to K add 273.15 = 373.15 K
in a television picture tube, electrons strike the screen after being accelerated from rest through a potential difference of 24 950 v. the speeds of the electrons are quite large, and for accurate calculations of the speeds, the effects of special relativity must be taken into account. ignoring such effects, find the electron speed just before the electron strikes the screen.
Moving from an area of lower potential to a region of higher potential causes electrons to accelerate. The law of conservation of energy controls the acceleration of the electrons from rest. The final speed can then be determined from the conservation rule by using the electron's speed shortly before it reaches the screen.
What are the electron speed or electricity?The passage of electrons (or other charge carriers) through a conductor in the presence of a potential difference or an electric field is commonly referred to as electricity. There are several interpretations of this flow's pace. While the electrons themselves move far more slowly in common electrical and electronic devices, the signals do so as electromagnetic waves that typically travel between 50% and 99% of the speed of light in a vacuum. For further information, see drift velocity and electron mobility. The speed of an electromagnetic wave flowing along (being steered by) a cable is the pace at which energy or signals go down the wire. In other words, a cable is a type of waveguide. The interaction of the wave with the material(s) inside and around the cable.
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A ball is kicked at an angle θ = 45°. It is intended that the ball lands in the back of a moving truck which has a trunk of length L = 2.5m. If the initial horizontal distance from the back of the truck to the ball, at the instant of the kick, is d = 5m, and the truck moves directly away from the ball at velocity V = 9m/s (as shown on the next page), what is the maximum and minimum velocity vo so that the ball lands in the trunk? Assume that the initial height of 3 the ball is equal to the height of the ball at the instant it begins to enter the trunk.
To find the maximum and minimum velocities that the ball can have and still land in the trunk of the truck, we need to use the equations of motion for the horizontal and vertical positions of the ball as a function of time. Since the truck is moving away from the ball, the horizontal position of the ball will be given by:
x(t) = x0 + Vt - v0cos(θ)*t
Where x0 is the initial horizontal distance from the back of the truck to the ball, V is the velocity of the truck, t is the time, and v0 is the initial velocity of the ball.
Similarly, the vertical position of the ball will be given by:
y(t) = y0 + v0*sin(θ)*t - (1/2)gt^2
Where y0 is the initial height of the ball, v0 is the initial velocity of the ball, g is the acceleration due to gravity and t is the time.
We know that the ball will land in the trunk of the truck if the horizontal position of the ball is equal to the length of the trunk (L) at the same time that the vertical position of the ball is equal to the initial height of the ball (y0).
We can find the time of flight by setting y = 0,
t = (2v0sin(θ))/g
Now, we substitute this value of t and y0 = 0 in the equation of x(t) and equate it with L.
x0 + Vt - v0cos(θ)*t = L
We can solve this equation for v0 to get the initial velocity of the ball.
v0 = (L + x0cos(θ) - Vt)/(cos(θ) - t*sin(θ))
Finally, we know that the minimum and maximum initial velocities will correspond to the maximum and minimum values of sin(θ) and cos(θ). Since θ = 45°, we can find the maximum and minimum velocities as follows:
v0_max = (L + x0cos(45) - Vt)/(cos(45) - tsin(45))
v0_min = (L + x0cos(45) - Vt)/(cos(45) + tsin(45))
Note that in this case x0=5m, L=2.5m, θ=45°, V=9m/s, t = (2v0sin(45))/g and g is 9.8m/s^2
you can use these values to find out v0_max and v0_min.
A vertically hung spring has a spring constant of 150 newtons per meter. A 2.00-kg mass is suspended from the spring and allowed to come to rest. Calculate the elongation of the spring produced by the suspended 2.00-kg mass. Write your answer in units of m.
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A 1.0 mal sample of an ideal pas is kept at 0.0°c during an expansion from Bradba xa 3.0 litre to 10.0 litre a) How much work is done on the pas during the expansion? b) How much everly transfer by heat occurs with the surroundings in this Process?
The work done during expansion is 2.73×10³J and the heat transferred to the surrounding is -2.73×10³ J
What is isothermal process ?The thermodynamic process which takes place in constant temperature of the system is called isothermal process.
What is work done in isothermal process?Due to change in volume of the system at constant temperature, some work is done .As, the temperature of gas is fixed. This process is isothermal.Now, work done (W) = nRT ln ( V2/V1)where W = work done by the systemn= number of moles
R= universal gas constant
V2= volume of the system after expansion
V1= volume of the system before expansion
W= (1)(8.31)(273)ln ( 10/3)= 2.73×10³ J.
Also in isothermal process the amount of work done by the system = -( the amount of heat transferred to the surrounding)So the amount of heat transferred is -2.73×10³ JThus, we can conclude that a) the amount of work done is 2.73×10³J and b) the amount of heat transferred to the surrounding is -(2.73×10³J).
Learn more about isothermal process here:
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