A decrease in velocity is referred to as deceleration. If car is moving at 30 m/s and stop in 50 m .The value of deceleration is 11.56 ms−2.
How to calculate deceleration ?While acceleration is motion in which an object's speed varies every second, deceleration is motion that causes an object to slow down.
We are aware that acceleration refers to an object's rate of increase in speed, and deceleration refers to an object's rate of decrease in speed. For instance, when we apply the brakes while driving, we benefit from the vehicle's ability to decelerate and slow down.
The Deceleration Formula is the final velocity minus the initial velocity, with a negative sign in the result because the velocity is decreasing, if starting velocity, final velocity, and time taken are given.
velocity of car = 30 m/s
car need to stop in 50m
Deceleration a = v^2 – u^2 / 2s
= 0^2 - 50^2 / 2*30
= 11.56
Deceleration of the care = 11.56 ms−2
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A hospital engineer finds an unidentified radioactive source using his Geiger counter in the nuclear medicine department. explain how the engineer could identify what type of radiation is being emitted from the source.
.
Any Idias?
Ionising radiation such as alpha and beta particles or gamma rays are detected using the Geiger-Müller (GM) tube. The radiation enters the tube through a very thin window at one end.
A radioisotope used for diagnostics must generate enough gamma rays to escape from the body and have a short enough half-life to decay away shortly after imaging is concluded. Tc-99 is the most often used radioisotope in medicine, accounting for approximately 80% of all nuclear medicine treatments.
Nuclear imaging is used to study the function of organs and tissues. During the operation, a trace amount of a radioactive chemical is used to aid in the examination. Body tissue absorbs the radioactive substance, known as a radionuclide (radiopharmaceutical or radioactive tracer).
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which one of the following statements is true concerning a magnifying glass? group of answer choices the object must be placed outside the focal point of the lens. it produces an inverted image. it produces a virtual image. the image distance will be less than the object distance. it can be made from a diverging lens.
The statements is true concerning a magnifying glass is it produces a virtual image.
A virtual image is what exactly?A divergent lens or a convex mirror are used to create a virtual image. Finding a virtual image involves tracking actual rays that leave an optical tool back to their observed or apparent sources. A virtual image cannot be projected onto a screen because the rays never truly converge.
The mirror reflection is the best illustration of a virtual image. Real images are made when rays connect, but virtual images are made when rays diverge. On a screen, real images can be projected but virtual ones cannot. Two opposing lenses, concave and convex, are used to create real images.
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To measure one wavelength, you would measure the distance between
C and A
C and F
D and B
A and B
To measure one wavelength, you would measure the distance between A and B.
option D is the correct answer.
What is one wavelength?
The wavelength of a wave is the distance travelled by a given a wave.
The wavelength of a wave is measured in meters and it depends on the frequency and speed of the wave.
One wavelength is distance measured from the trough to another trough of the wave form or the distance measured from crest to another crest of the wave form.
In the given image, the following are one wavelength;
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A golf ball is thrown straight up in the air at a velocity of 8.3 . Determine the maximum height of the golf ball.
(b) How long will it take the ball to reach its maximum height?
(c) How long will it take the ball to fall from its maximum height to the height from which it was initially launched?
a) The maximum height is 3.5 m
b) The time taken to reach this height is 0.85 seconds
c) The time taken to return to the original point is 0.85 seconds.
What is the maximum height?We know that the maximum height can be obtained from the use of the kinematic equations. We know that;
a) v^2 = u^2 - 2gh
v = final velocity
u = initial velocity
g = acceleration due to gravity
h = maximum height attained
v= 0 /ms at the maximum height
u^2 = 2gh
h = u^2/2g
h = (8.3)^2/2 * 9.8
h = 68.89/10.6
h = 3.5 m
b) Time taken to reach the maximum height;
v = u - gt
v= 0 /ms at the maximum height
u = gt
t = u/g
t = 8.3/9.8
t = 0.85 seconds
c) The time taken to return is the same as the time taken to go up which is 0.85 seconds.
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Two sound waves produce a beat frequency of 5 hz. If one of the original frequencies is 227 hz, what could be the other frequency?.
The beat frequency is always equal to the difference in frequency between the two notes that interact to create the beats.
How do you find the beat frequency of two sounds?The absolute difference between the two waves can be used to compute it. As a result, here's how to determine the beat frequency of two waves: Take the absolute value by subtracting the first wave's frequency from the second wave's frequency.The total value of the two waves' frequencies' difference is equal to the beat frequency. Beat frequency is the number of beats per second that corresponds to the difference in two waves' frequencies.Beat Frequency Calculation is given:First wave frequency 5Hz
Second wave frequency 227Hz
Beat frequency 〰️222Hz.
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Astronauts in training are subjected to extreme acceleration forces bu the centripetal forces in a gaint centrifuge. a, calculate the approximate centripetal force an on astronaut of mass 80 kg if the centrifuge rotates once 2 second. b, approximately how many times greater than the astronaut weight is this force?
In a massive centrifuge, centripetal forces accelerate trainee astronauts to extremely high speed is 49.3 frac ms2 and 5.
How much weight is an astronaut under this force?During a rocket launch, an astronaut's maximum g-force is typically around 3gs. The passengers can withstand this, which is equivalent to three times the gravity that people experience while they are on Earth.
a)a c=omega2 r=frac4 pi 2 r, T2=49.3 frac ms2, and a c = 2 r= T 2
4π \s2 \s r \s \s =49.3 \ss \s
m \s \s ,
b)frac = k=F aP=\frac{a c}
g=5.k= P \sF \s\s = \sg \sa \ \s =5.
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A soccer ball rests on the ground in a stationary position. Which of the following best describes the forces acting on the ball? (1 point)
Responses
unequal forces
unbalanced forces
accelerating forces
balanced forces
A soccer ball is kicked horizontally across a field with an initial velocity of magnitude 15 m/s. If the soccer ball has a mass of 0.43 kg, what is the kinetic energy of the ball just after it is kicked?
The kinetic energy of the ball just after it is kicked is 48 J.
What is kinetic energy?Kinetic energy is the force that propels motion, which can be seen in the movement of a particle, an object, or a group of particles. A person walking, a baseball being thrown, a piece of food falling from a table, and a charged particle in an electric field are all instances of objects in motion that use kinetic energy.
Vibrational, rotational, and translational energy are the three subtypes of kinetic energy. Unsurprisingly, vibrating things are the source of vibrational kinetic energy. While objects colliding with one another produce translational kinetic energy, objects moving create rotational kinetic energy.
Given:
Mass- 0.43kg
Velocity- 15
kinetic energy = 1/2 mv²
kinetic energy of the ball = 1/2 (0.43)(15)²
kinetic energy of the ball = 48 J.
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How do you calculate this?
Answer: Find the right angle degree and then you will find ow to do the rest.
a tree house is 8 m above the ground. if tarzan does 360 j of work while pulling the box at constant speed from the ground up to his tree house with a rope, what is the mass of the box?
Mass refers to a body of matter's resistance to changing its speed or location in response to the application of a force.
What is the mass of the box?In physics, mass is a quantitative measurement of inertia, a basic characteristic of all matter.It essentially refers to a body of matter's resistance to changing its speed or location in response to the application of a force.The change caused by an applied force is smaller the more mass a body has.
The work done to place the box at tree house=350 J.
The distance from ground to tree house =4.0 m and g = 9.8/8²
E =mgh
m = 350 J / (9.8/8²* 4.0m)
m=8.929kg
Hence the mass of the box is 8.929kg
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A driver spotted a police car and he braked from a speed of 100km/h to a speed of 80km/h during a displacement of 88m, at a constant acceleration (a) What is that acceleration. (b) How much time is required for the given decrease in speed
Answer:
a = − 1.579 [tex]\frac{m}{s^{2} }[/tex]
b. t = 3.52s
We have velocity in km/hr and displacement in m. Since we have to make a unit conversion, might as well do it so it will yield the answer in the normal (SI) units for acceleration.
u = 100 x [tex]\frac{5}{18}[/tex] = 27.78 [tex]\frac{m}{s}[/tex]
v = 80 x [tex]\frac{5}{18}[/tex] = 22.22 [tex]\frac{m}{s}[/tex]
Using the formula of motion [tex]v^{2} - u^{2}[/tex] = 2*a*d
[tex](22.22)^{2}[/tex] - [tex](27.78)^{2} \\[/tex] = 2 * a * 88
a = -1.579 [tex]\frac{m}{s^{2} }[/tex] = acceleration
Since the acceleration was constant, we can use the average velocity, and the distance to determine the time.
time = [tex]\frac{displacement}{speed}[/tex]
t = [tex]\frac{88}{speed}[/tex]
speed = [tex]\frac{1}{2}[/tex] * (u+v) = [tex]\frac{1}{2}[/tex] * (22.22 + 27.78) = 25[tex]\frac{m}{s}[/tex]
t = [tex]\frac{88}{25}[/tex] = 3.52 s
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The acceleration of the car is equal to -1.58 m/s. The time required for the given decrease in speed is equal to 3.52 s.
What are equations of motion?The equations of motion can be utilized to describe the relationship between the acceleration, velocity, time, and displacement of a moving object.
The equations of motions can be mathematically expressed as shown below:
[tex]v = u + at\\S= ut +\frac{1}{2}at^2\\ v^2-u^2 = 2aS[/tex]
Given, the initial velocity of the police car, u = 100 Km/h = 27.78 m/s
The final velocity of the car, v = 80 Km/h = 22.22 m/s
The displacement of the car, S = 88m
From the third equation of motion: v²- u² = 2aS
(22.22)² - (27.78)² - = 2 × a × 88
a = - 1.58 m/s²
Calculate the time from the first equation of motion: v = u + at
22.22 = 27.78 + (-1.58) × t
t = 3.52 sec
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what will happen to the solar system when the milky way galaxy collides with the andromeda galaxy in billions of years
The solar system when the milky way galaxy collides with the andromeda galaxy in billions of years will likely be unharmed.
For milky way galaxy,
Size = 100000 lightyears acrossNumber of stars = 100 billionType = Spiral galaxyAge = 13.6 billion yearsFor Andromeda galaxy,
Size = 220000 lightyears acrossNumber of stars = 1 trillionType = Spiral galaxyAge = 10 billion yearsWhen these galaxies collide in about 5 billion years from now, the central black hole of Andromeda galaxy with a mass of 100 million suns will swallow up the central black hole of milky way galaxy with a mass of 4 million suns.
Therefore, the solar system when the milky way galaxy collides with the andromeda galaxy in billions of years will likely be unharmed.
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for a charged particle, a constant magnetic field can be used to change for a charged particle, a constant magnetic field can be used to change only the direction of the particle's velocity. only the magnitude of the particle's velocity. both the magnitude and direction of the particle's velocity. none of the above.
For a charged particle, a constant magnetic field can be used to change for a charged particle, only the direction of the particle's velocity .
magnetic force = q(VxB)
which is perpendicular to V and B
so it can't change magnitude only can change direction.
What is magnetic field?A magnetic field is a vector field near a magnet, an electric current, or an alternating electric field where the observed magnetic forces exist. A magnetic field consists of moving electric charges and the internal magnetic moments of elementary particles associated with a fundamental quantum property called spin. The magnetic field and the electric field are both related and are components of the electromagnetic force, which is one of the four forces of nature.
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a space vehicle is traveling at 5800 km/h relative to the earth when the exhausted rocket motor (mass 4m) is disengaged and sent backward with a speed of 74 km/h relative to the command module (mass m). what is the speed of the command module relative to earth just after the separation?
Speed of the command module relative to earth just after the separation is 5785.2Km/h
Velocity of speed of Vehicle = 5800km/h
mass = 4m + m = 5m
relative velocity = v2 - v1 = 74 km/h
v2 = 74 + v1
using conservation of momentum,
(5800)(5m) = 4m(v1) + m(v2)
V1 = 5785.2km/h
Momentum in Newtonian physics is defined as the sum of an object's mass and velocity, or more specifically, as its linear momentum or translational momentum. As a vector quantity with both a magnitude and a direction, it has both. The momentum of an item is expressed as follows: if an object has mass (m) and velocity (v), both of which are vector quantities.
The newton-second is a unit of measurement for momentum in the International System of Units (SI), and the kilograms metre per second (kg m/s) is its SI counterpart.
A body's momentum changes at a rate equal to the net force exerted on it, according to Newton's second law of motion. However, in any inertial frame, momentum is independent of the frame of reference.
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Deuterium is more abundant on venus than elsewhere in the solar system. What do we think this fact tells us about venus?.
We think that it once had huge amounts of water content in its atmosphere.
What is meant by solar system?The Solar System is the gravitationally bound system that includes the Sun and the objects that orbit it. It was formed by the gravitational collapse of a massive interstellar molecular cloud 4.6 billion years ago. The Sun contains the vast majority (99.86%) of the system's mass, with Jupiter holding the majority of the remaining mass. Mercury, Venus, Earth, and Mars are all terrestrial planets made mostly of rock and metal. The four outer system giant planets are significantly larger and more massive than the terrestrials. Jupiter and Saturn are gas giants, composed primarily of hydrogen and helium; Uranus and Neptune are ice giants, composed primarily of volatile substances with relatively high temperatures.
Hence, If Deuterium is more abundant on Venus than elsewhere in the solar system, I think that it once had huge amounts of water content in its atmosphere.
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what sound characteristics can be compared between the two ears to locate the source of a sound? group of answer choices sound shadows and pitch loudness and phase frequency and loudness we cannot localize sounds well
Intensity and time interval of a sound can be compared between the two ears to locate the source of a sound.
Intensity of the sound is defined as the proportion of energy that flows per unit time through a unit area perpendicular to the direction of motion of such sound waves.
The time it takes for a sound wave to complete one cycle is called its time interval or the time period.
The time period is inversely proportional to the frequency and is given by: Time period = 1/FrequencyA person's loudness perception is affected by the amount of sound they hear.
The volume or loudness of a sound is determined by its intensity, which itself is governed by its frequency. Sounds are measured by their intensity or the energy they have in them. Intensity is measured in decibels (dB) and the volume of sounds is determined by their intensity. The intensity of sound is determined by two factors: the size of the sound waves and the distance from their source.and the time taken by the sound wave to reach the ear is dependent on the distance between the source and the ear.Therefore intensity and time interval can be considered as the sound characteristics to compare between the two ears to locate the source of a sound.
The question is incomplete, the complete question is:
'What sound characteristics can be compared between the two ears to locate the source of the sound?
a. sound shadows and frequency
b. frequency and amplitude
c. intensity and time of arrival
d. timbre and rhythm'
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at what wavelength of light to humans give off the most light if the average human body temperature is approximately 310 k?
Peak thermal radiation for the human body at 310 K has a wavelength of 9.3 mm.
The average body temperature is 310.15 oK. The infrared region is where the radiation peaks as a result. Red light with wavelengths as long as 7,000 Angstroms can be seen by the human eye. Generally speaking, infrared wavelengths are those between 7,000 and 1,000,000 Angstroms.
Light's wavelength is used to measure it (in nanometers). It is typically represented by the Greek letter. Visible light is typically defined as having a wavelength between 400 and 700 nanometers (nm), or one billionth of a meter.
The distance between equivalent places in two consecutive light cycles is known as the wavelength of light, and the frequency of light is the number of light cycles that pass a specific spot in a second.
Atoms or molecules that undergo discrete energy level transitions give rise to narrowband radiation.
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What the relationship between frequency and wavelength of electromagnetic radiation? choose. If you double the wavelength of light, what happens to the energy of the photons? choose. Which has a greater energy, long wavelength red light or short wavelength uv light? choose.
Frequency is inversely proportional to the wavelength of electromagnetic radiation.
When the wavelength of light is doubled, the frequency is reduced to its original value.
Short wavelength UV (ultraviolet) light will have more energy.
What is meant by wavelength?The distance between identical points (adjacent crests) in adjacent cycles of a waveform signal propagated in space or along a wire is defined as the wavelength.
The relationship between frequency of electromagnetic radiation and wavelength of radiation is:
ν==1/λ
Where,
ν= frequency
As a result, the frequency of electromagnetic radiation is inversely proportional to its wavelength.
The frequency is reduced to its original value when the wavelength of light is doubled.
The energy of a photon is proportional to the frequency of light.
Using Relationship,
E=hν=h c/λ
h = Planck's constant
c = speed of light
Both h and c are constants
As a result, energy will be reduced to its initial value.
The light with the shortest wavelength will have the greatest energy.
UV (ultraviolet) light with a shorter wavelength has more energy.
It is because of the previously stated relationship..
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The driver of a car going 90.0 km/h suddenly sees the lights of a barrier 35.0 m ahead. it takes the driver 0.75 s to apply the brakes, and the average acceleration during braking is -10.0 m/s2. what is the maximum speed at which the car could be moving and not hit the barrier 35.0 m ahead? assume that the acceleration doesn't change.
The maximum speed at which the car could be moving will be 20 m/s.
Speed is the ration of total distance travelled by an object to the total time taken by the object to cover that particular distance.
Mathematically, Speed (v) = [tex]\frac{Distance (d)}{Time (t)}[/tex]
d = v*t
d = distance traveled
v = initial speed
t = time = 0.75v
d1 = 0.75(t)
Total distance = d1 + d2 = 35m
35 = 0.75v + d2
d1=35-0.75v
According to the Equations of motion.
[tex]v^{2} = s^{2} - 2sd1[/tex]
[tex]v = \sqrt{s^{2} - 2ad1 }[/tex]
where
s = final speed = 0m/s
v = Initial speed
a = acceleration = -10m/s2
d1 = displacement
[tex]v = \sqrt{0 - 2(-10)(35-0.75v) }[/tex]
[tex]v^{2} = 700 - 15v[/tex]
[tex]v^{2} + 15v -700 = 0[/tex]
On solving the above quadratic equation we get two values of v as:
v1 = 20 m/s
v2 = -35m/s
Since the velocity of the car has to be taken and also the car is moving in the forward direction, therefore v1 will be considered as the final velocity of the car, i.e. the maximum speed at which the car could be moving and not hit the barrier 35.0 m ahead will be 20 m/s.
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An 800-kg car traveling in a straight line at a speed of 30 m/s applies its brakes. During braking, there is a net force of 2000 N in the horizontal direction on the car. What distance will the car move from the time it applies its brakes until it has stopped?
a.12
b.75
c.180
d.300
e.60000
Answer:
Explanation:
c = 180
i have same problem and it work
A rocket is burning fuel at the rate of 300g/s and electing all the gas. In one direction of the rate of 500m/s what is maximum weight the rocket burn have if it going to move Vertically upward.
The maximum weight the rocket burn is 15000N or 15kN
Now in the question rocket burns the fuel at the rate 300g/s . we are supposed to deduce the maximum weight the rocket burn have if its going to move vertically upward.
As per Classical Mechanics , overall momentum of the system is conserved biding all conservational laws.
Force= mass x acceleration
F= m dv/dt
F=v dm/dt
v=500m/s
dm/dt=300
F=500 x 300
=15kN
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a figure skater rotating on one spot with both arms and one leg extended has moment of inertia ii . she then pulls in her arms and the extended leg, reducing her moment of inertia to 0.75 ii . what is the ratio of her final to initial kinetic energy?
The ratio of her final to initial kinetic energy is 1.33
What is conservation of angular momentum?
Conservation of angular momentum is a principle in physics according to which the total angular momentum of a system remains constant as it is free from external torque irrespective of all the various types of interaction and transformation taking place within the system. It is a physical property of spinning system. The easiest example of conservation of angular momentum is Earth spinning around at the same rate from last billions of years.
Iiwi = Ifwf
Where Ii = Initial Angular momentum
If = Final Angular momentum
wi= initial angular velocity
wf = final angular velocity
wf= Iiwi / If
= Iiwi/ 0.75 Ii
= 1.33 wi
Ki= ½ = Iiwi2
Kf= ½ (0.75) Ii (1.33 wi)2
= 1.33 Ki
Kf/ Ki = 1.33 Ki/ Ki
= 1.33
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an ultrashort pulse has a duration of 7.20 fs and produces light at a wavelength of 556 nm. what is the momentum of a single photon in the pulse?
The momentum of a single photon in the pulse is 1.19 * 10^-27 kg m/s.
It is the quantity of motion of a moving body, measured as a product of its mass and velocity.
How to calculate the momentum of a single photon in the pulse?
Wavelength of light is given,
λ = 556nm = 556 * 10^-9m
Wavelength and momentum (p) are related by
λ = h/p
Where h is the planck constant = 6.63 * 10^-34 m^2 kg/s
So, the momentum is
p = h/λ
[tex]\frac{6.63*10^{-34} }{ 556*10^{-9}}[/tex]
p = 1.19 * 10^-27 kg m/s
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what is a strength of a magnetic field for a current loop with 5 a current and diameter of 1.0 m from an electric wire?
0.80tesla is a strength of a magnetic field.
how strong is the magnetic field, exactly?At a distance r from the wire, a current I flowing through a long, straight wire generates a magnetic field with intensity H=I/2r. In other words, the field's strength is inversely proportional to the distance from the wire.
How is field strength determined?Newtons per coulomb (N/C) or volts per meter (V/m) are the SI units for measuring electric field strength. E = F/q, where F is the force felt by a very small test charge q placed in a field E in a vacuum, gives the force felt by the charge.
given,
I = 5A , r = 1.0m
H=I/2πr
H = 5 / 2*3.14*1.0
H = 0.80tesla
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what is the purpose of the frets on a guitar. in terms of the frequency of the vibration of the strings
To learn frequency to known frequency and frets of guitar.
What is frequency?
The number of waves that pass a fixed point in a unit of time is referred to as frequency in physics. It also describes how many vibrations or cycles a body in periodic motion makes in a given amount of time.
What is the purpose of frets?
Frets, which determine the positions for the proper notes, make it much simpler for a player to achieve an acceptable standard of intonation. Furthermore, playing chords accurately is made simpler by a fretted fingerboard.
Frequency of the vibrations of the strings.
f=2LnmT, where T is the tension in the string, L is the length, and n is the number of harmonics, gives the frequency of vibration of a string.
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Two asteroids each have mass of 1.41 x 1014 kg. The strength of the gravitation force between them is 1,030 N.
Calculate the distance between the asteroids.
The distance between the two asteroids, given that the gravitation force between them is 1030 N, is 3.59×10⁷ m
How do I determine the distance?From Newton's law of universal gravity, we understood that the force of attraction / repulsion between two objects is given as:
F = GM₁M₂ / r²
Where
F is the force of attraction / repulsionG is the gravitational constant M₁ and M₂ are the masses of the objects r is the distance apartWith the above formula, we can determine the distance between the two asteroids. This is illustrated below:
Mass of 1st asteroid (M₁) = 1.41×10¹⁴ KgMass of 2nd asteroid (M₂) = 1.41×10¹⁴ KgGravitational force (F) = 1030 NGravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²Distance between the asteroids (r) = ?F = GM₁M₂ / r²
1030 = (6.67×10¯¹¹ × 1.41×10¹⁴ × 1.41×10¹⁴) / r²
Cross multiply
1030 × r² = 6.67×10¯¹¹ × 1.41×10¹⁴ × 1.41×10¹⁴
Divide both sides by 1030
r² = (6.67×10¯¹¹ × 1.41×10¹⁴ × 1.41×10¹⁴) / 1030
Take the square root of both sides
r = √[(6.67×10¯¹¹ × 1.41×10¹⁴ × 1.41×10¹⁴) / 1030]
r = 3.59×10⁷ m
Thus, the distance between them is 3.59×10⁷ m
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A 0. 25-kg toy car experiences a net force of 9. 0 n while slowing down to a complete stop. What is the magnitude of its acceleration?.
Magnitude of the acceleration would be 36 m/s^2.
Force is nothing but an influence that can change the motion of object or can make changes into the object. Sometimes we apply force but still there is no effect. Mathematically when object comes into motion after applying force, Force is the product of the mass of the object and the accelerations of the body, so we can write
F = ma
now putting the values, we can get that force is
F = 0.25 x a
a = F/0.25
a = 9/0.25
a = 900/25
a = 36 m/s^2
Hence the acceleration would be 36 m/s^2.
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What kind of electronic transitions are responsible for colored light being given off?.
The kind of electronic transitions that is responsible for colored light being given off is called emission.
Emission is the discharge of something, particularly radiation or gas. Emission spectrum or line spectrum is the given off of electromagnetic radiation when an electron transits from a higher energy level to a lower energy level. During the course of transition from one level to another, energy generated are emitted in the form of white light by the atoms and molecules. When electrons in the ground state of an energy level is heated, it rises to a higher energy level. It thus releases energy quickly to maintain a balanced state or go back to the ground state. If the energy released is equal to the energy that produces white light, it will form colored light.
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if each resistor is rated at 0.2 w (maximum without overheating), what is the maximum voltage that can be applied across the whole network?
The maximum voltage that can be applied to the whole network is 39.46V.
What is the relationship between power and voltage?The explanations given here are that Power equals current times Voltage (P=VxI), Voltage equals Power divided by current (V=P/I), and current equals Power divided by Voltage (I=P/V).
Power and Voltage:
The equation for the relationship between power, resistance, and voltage is
P = V²/R
P is for power,
R stands for resistance,
and V for voltage.
Given that the resistors
V = [tex]\sqrt{PR}[/tex]
Consequently, the maximum voltage for the 2.8k resistor will be:
V = [tex]\sqrt{(0.2)(2800)}[/tex]
V = 23.66V
The maximum voltage for the 2.1k resistor will be similar:
V = [tex]\sqrt{(0.2)(2100)}[/tex]
V = 20.49V
This is lower than the 2.8k resistor's maximum voltage.
The voltage between the 2.8k and 2.1k resistors must be same because they are connected in parallel.
The highest voltage that can be applied across this parallel configuration is 20.49V since a voltage of 23.66V would be too high for the 2.1k resistor to handle.
Similarly, the voltage drop across the series-connected 1.8 k resistor is:
V = [tex]\sqrt{PR}[/tex]
V = [tex]\sqrt{(0.2)(1800)}[/tex]
V = 18.97V
Consequently, the highest voltage that can be used over the entire network is
20.49V + 18.97V = 39.46V
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1.8-kg copper block is given an initial speed of 3.1 m/s on a rough horizontal surface. because of friction, the block finally comes to rest. (a) if the block absorbs 85% of its initial kinetic energy as internal energy, calculate its increase in temperature.
Therefore, U equal to cV T represents the change in internal energy for an ideal gas, where cV stands for specific heat (at constant volume) and T for change in temperature.
Calculate its increase in temperature ?Increase in temperature is 0.0176 degree Celsius. b. the remaining energy will be lost.
The mass of copper block = 1.8kg
Initial speed = 3.1 m/s
Specific heat of copper = 0.385 j/g degree Celcius.
a. The increase in temperature is calculated below:
Change i kenetic energy = 1/2mv²
= 1/2 *1.8*4²= 14.4J
85% of energy is converted into internal energy.
mc =14.4*0.85
1.8*385 = 14.4*0.85
12.24/693
=0.0176
The remaining 15 per cent of kinetic energy will be lost and it will be changed into other forms.
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