To use the kinetic friction force formula.
What is kinetic coefficient friction?
The proportion of contacting surfaces' kinetic friction forces to normal forces is known as the coefficient of kinetic friction.
What is acceleration?
Any process that causes a change in velocity is referred to as an acceleration. Since velocity depends on both speed and direction, you can only accelerate by changing either one or both.
Fn = 12kg* 9.81 m/s^2 = 117.7 N
since there is no acceleration, friction must equal the horizontal force
30N = 117.7*μ
μ = .255
Therefore, the coefficient of kinetic friction between the crate and the floor is 255.
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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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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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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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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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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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The oxidation of copper(I) oxide, Cu 2 O ( s ) , to copper(II) oxide, CuO ( s ) , is an exothermic process. 2 Cu 2 O ( s ) + O 2 ( g ) ⟶ 4 CuO ( s ) The change in enthalpy upon reaction of 98. 93 g Cu 2 O ( s ) is − 100. 9 kJ. Calculate the work, w , and energy change, Δ U rxn , when 98. 93 g Cu 2 O ( s ) is oxidized at a constant pressure of 1. 00 bar and a constant temperature of 25 ∘ C. Note that Δ E rxn is sometimes used as the symbol for energy change instead of Δ U rxn
Copper II oxide is created through the oxidation of copper I oxide, cu2os cu2os. Cuo s An exothermic reaction is Cuo S. The formula is 2cu2o s)+ o2 G 4cuo S.
A simple definition of oxidation is what?Cu2O(s), a copper(I) oxide, is oxidized to copper(II) oxide, CuO, by exothermic processes (s). Cu2O(s), a copper(I) oxide, is oxidized to copper(II) oxide, CuO, by exothermic processes (s).
An oxidation reaction is a chemical process that takes place when an object comes into contact with oxygen or another oxidizing agent (OK-sih-DAY-shun). Oxidation is characterized by the brown hue of sliced apples and rust. In the past, the term "oxidation" was used to describe any chemical reaction that involved oxygen and an element. When magnesium metal and oxygen react, magnesium oxide is produced as a result, which serves as an illustration of this.
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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 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
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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Point l is located a distance d2–√ from the midpoint between the two wires. Find the magnitude of the net magnetic field bl created at point l by both wires.
the magnitude of the magnetic field bl created at point l by both wires. is 0.0071 μI / d
since we know the formula we can refer to the magnetic field is
B= μI / 2πR
where I is the current flowing through the wires, R is the distance
Here Using the Pythagoras theorem
R= √d² + (2d)²
R = √d² + 4d²
r = √5d²
r = d√5
substituting the value of R in the formula, we get
= μI / 2π(d√5)
= μI / 2dπ√5
= (1 / 2π√5)(Iμ/d)
=0.0071 μI / d
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What do you think happens to a sound wave when the volume of sound increase
Answer:
sound wave's amplitude relates to the change in pressure caused by the wave measured at a specific location. The sound is perceived as louder if the amplitude increases, and softer if the amplitude decreases.
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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the magnitude of kf depends on the identity of the [ select ] and the magnitude of kb depends on the identity of the
magnitude of kf and the magnitude of kb depends upon the identity of solvent
what is kf and kb?Kf is the depression in freezing point produced by 1 molal solution of a nonvolatile solute while Kb is the elevation in boiling point produced by 1 molal solution of a nonvolatile solute.
Boiling point elevation is the difference in temperature between the boiling point of the pure solvent and that of the solution.
Molality is defined as the total number of moles of solute per kilograms of solvent present in the solution.
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a model airplane with mass 0.750 kg is tethered to the ground by a wire so that it flies in a horizontal circle 30.0 m in radius. the airplane engine provides a net thrust of 0.800 n perpendicular to the tethering wire. (a) find the torque the net thrust produces about the center of the circle. (b) find the angular acceleration of the airplane. (c) find the translational acceleration of the airplane tangent to its flight path.
The force on the section of the wall of the airplane is 3N.
The pressure outside the cabin of the commercial airplane is 0.150 atm and the pressure inside the airplane cabin is 0.900 atm.
The dimensions of the section of wall of the airplane are 2.00 m × 2.00m.
The area of the section = 4.00 m².
We know,
Force applied on the portion = pressure applied on that area × area
So, the force on the section of the wall of airplane will be,
Force = (0.900-0.150)×4
Force = 3N.
So, the force on the airplane is 3 Newtons.
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the hydrogen in a star emits light at 484 nm as observed by an astronomer. which describes the motion of the star if the laboratory value of this spectral line of hydrogen is measured at 486 nm? question 9 options: approaching at 6.17 105 m/s moving away at 6.17 105 m/s approaching at 1.23 106 m/s moving away at 1.23 106 m/s
If the laboratory value of this hydrogen spectral line is detected at 486 nm, the star is moving toward us at a speed of 6.17 105 m/s.
How might Bohr's theory explain the hydrogen spectrum?In less than a year, Niels Bohr had a hydrogen atom model that "explained" the spectral lines. The energy level was a novel idea that Bohr introduced. Sharp spectral lines were released when an electron in hydrogen moved from one of its permitted energy levels, which were defined by the hydrogen atom.The wavelengths, measured from the scale, are 435 nm (purple), 486 nm (blue), and 657 nm (red).Hydrogen has numerous different energy levels while having just one electron. A photon is released when an electron in an object jumps from one energy level to another. Due to the various levels, those photons produce light with various colors and wavelengths.To learn more about Hydrogen atom model refer to:
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a heavy brass ball is used to make a pendulum with a period of 5.5 s. part a how long is the cable that connects the pendulum ball to the ceiling? how long is the cable that connects the pendulum ball to the ceiling? 4.7 m 6.2 m 7.5 m 8.7 m request answer provide feedback
The length of the cable that connects the pendulum ball to the ceiling with a period of 5.5 s is 7.5 m
T = 2 π √ ( L / g )
T = Time period
L = Length of the pendulum
g = Acceleration due to gravity
T = 5.5 s
g = 9.8 m / s²
5.5 = 2 * 3.14 √ ( L / 9.8 )
√ L = 0.88 * √ 9.8
L = 0.77 * 9.8
L = 7.5 m
A simple pendulum consists of a mass suspended in air by a massless and unstretchable string that is fixed to a rigid support on the other end. The time taken to complete on oscillation is the time period of a simple pendulum.
Therefore, the length of the cable is 7.5 m
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Two vehicles r moving in the same direction one has the velocity of 24m/s and another has 18m/s.find their relative velocity & also their relative velocity when they are in opposite direction
When a body is moving in the same direction, its relative speed is 6m/s, while when it is moving in the opposite direction, it is 42 m/s.
Describe relative velocity and its unit.The units used to measure speed and velocity are the same. The meter is the SI unit for measuring both distance and displacement. The second is the second as defined by the International System of Units. Two meters per second divided by two is the SI unit of velocity and speed.
What does Class 11 formula for relative velocity mean?It is calculable using an intermediary reference frame. The velocity vector sum can be used to represent this simply. vAB = vA - vB is the way to express the relative velocity formula.
velocity is the same as the relative velocities of A and B.
A=24,B=18
Vab=24-18=6m/s
In opposite direction
Vab=24-(-18)=42m/s
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Which is an outer planet in our solar system?
A.Earth
B.Jupiter
C.Mars
D.Venus
Question:
Which is an outer planet in our solar system?
Answer:
B. Jupiter
Answer: Jupiter
Explanation: As its situated outside the asteroid belt
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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you are in a rocket ship in deep space, far away from any gravity. you decide to do an experiment to determine the mass of your rocket ship. initially your ship is traveling to the right at 800 m/s, then the engines begin to exert 300,000 n of constant force to the left and do so for 40 seconds. afterward, your rocket ship is traveling to the left at 200 m/s. what is the mass of your rocket ship?
The mass of the rocket travelling in the space is 20000 kg.
The initial velocity of the rocket is 800m/s.
The final velocity of the rocket is 200m/s.
The time for which the constant force of 300000 Newton is applied is 40 second.
We know that if the force is constant than the acceleration must be constant and for the constant acceleration we can use the equation of motion,
V = U + at
Where,
V is the final velocity,
Uis the initial velocity,
a is the acceleration,
t is the time period.
Putting values,
800 = 200 + a40
600 = 40a
a = 15m/s².
The acceleration of the rocket is 15m/s².
The force on an accelerated bodies given by,
F = Ma
M is the mass of the rocket,
Putting values,
300000 = M(15)
M = 20000 Kg.
So, the mass of the rocket is 20000 kg.
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what is the difference of chinese and korean music
The music performed on the Chinese instrument was typically fast-paced, technically impeccable, and pitched high. The Korean instrument, however, is normally performed in a low range and with less emphasis.
What's the name of that instrument from China?Chinese musical instrument known as the pipa has four strings and is classified as a plucked instrument. The instrument, which is sometimes referred to as the "Chinese lute," features a peculiar pear-shaped wooden body and 12 to 26 frets.
What is the most popular instrument in China?According to Shanghai Chinese Orchestra director Luo Xiaoci, the guzheng is now regarded as the most well-liked traditional Chinese musical instrument and is comparable to the piano for Western music. A flexible instrument with a wide variety of tones is the guzheng.
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A 3000 W oven is cooking your Sunday roast for 1 hour and
35 minutes. How much did it cost to cook it?
Cost estimated is ₹[19/4]y/-.
Given :- Power=3kW , Time=1hr 35min
Now to convert this time completely into hours following steps can be adopted:- 1 min =1/60 hour, so 35min =35/60 hour
35min= 35/60 =7/12 hour
So total computed time = 1hr + [7/12]hr
computed time =19/12hr
Now since in the question there is no mention about cost , so let the cost be ₹y/unit.
Mathematically , Energy is the product of power and time , i.e.
E= Power x Computed time = 3 x 19/12 = 19/4 units.
Now the energy estimated is 19/4 units whose cost equivalent will be ₹[19/4]y/- , as cost of one unit energy is ₹y/- so cost of 19/4 energy units will be ₹[19/4]y/-.
Once the cost of one unit energy is known to us then just its value in the place of y and we will get the exact amount expended on the total energy consumption.
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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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A caterpillar tries to climb straight up a wall two meters high, but for every 2 cm up it climbs, it slides down 1 cm. Eventually, it reaches the top. When it reaches the top, it does not pull itself over so it will slide down 1 cm. At this point, the caterpillar was exhausted and fell to the ground. What is the total displacement?
In the first box, select the total displacement. In the second box, indicate the direction whether up, down or n/a.
It is to be noted that the total displacement is 0cm. Note that displacement is different from distance traveled.
What is displacement in Physics?Displacement is described as the total change in an object's location as well as the direction of motion.
The formula is given as:
Displacement = Final position – initial position = change in position.
Given that the caterpillar falls back to the ground, it means that the total displacement is zero.
Final Position = 0
Initial position = 0
Displacement, thus = 0-0 =0
When distinguishing between displacement and distance, we know that distance is the total length of the path between any two places.
Displacement is defined as the direct length between any two places measured via the shortest path between them.
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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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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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a 3 kg block starts from rest at the top of a 30 degree incline and slides a distance of 2 m down the incline in 1.50 seconds. find the magnitude of the acceleration of the block. find the coefficient of kinetic friction between the block and the ramp.
The magnitude of the acceleration of the block is 1.78m/s².
The coefficient of kinetic friction between the block and the ramp is 0.368.
How can I calculate the coefficient of kinetic friction?The resistive force of friction (Fr), which pushes the objects together, is divided by the normal or perpendicular force (N), which pushes them apart, to produce the coefficient of friction (fr), which is a numerical value. The following formula represents it: fr = Fr/N.
Given,
m=3.00kg, θ=30° ,
x= 2.00m, t=1.50s.
constant rate of acceleration,
[tex]X_{f} = v_{i} t[/tex] + 1/2at²
solving,
a = 2([tex]X_{f}[/tex]-[tex]v_{i} t[/tex])/t²
a = 2(2-0)/(1.5)²
a = 1.78m/s².
We have neither a burrowing-in nor a taking-off action when Newton's law is applied in the y direction, which is perpendicular to the inclination. The y component of acceleration is then equal to zero:
∑ [tex]F_{y}[/tex]=n–mgcosθ=0
Thus n=mgcosθ
Because f=[tex]\mu_{k}[/tex]n
[tex]\mu_{k}[/tex] = f/mgcosθ
[tex]\mu_{k}[/tex] = 9.37/3×9.8×cos30°
[tex]\mu_{k}[/tex] = 0.368.
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suppose you have a planet with the same average density as the earth, but half the radius. how would the acceleration due to gravity on an object near the surface of that planet compare to our g (the acceleration due to gravity on an object near the surface of the earth)?
It would be half of (1/2) acceleration due to gravity on an object near the surface of that planet compare to our g.
Gravity on the planet (g') = [tex]\frac{GM}{R'^{2} }[/tex] = G(ρx [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]R^{3}[/tex])/[tex]R'^{2}[/tex]
Where R' is the radius of the planet.
g' = [tex]\frac{4}{3}[/tex][tex]\frac{\pi GPR'}{1}[/tex]
gravity on the Earth (g) = G[tex]M_{E}[/tex]/RE
= G([tex]\frac{P 4/3\pi R_{E} ^{3} }{R_{E^{2} } }[/tex])
g = 4/3 [tex]\pi[/tex]GP[tex]R_{E}[/tex]
Now, g'/g = R'/[tex]R_{E}[/tex] = [tex]R_{E} 2[/tex]/[tex]R_{E}[/tex] = 1/2
g' = 1/2
it would be half of g.
What is acceleration?Acceleration is defined as the rate of change of velocity with respect to time. Acceleration is a vector quantity because it has both magnitude and direction. It is also the second derivative of position with respect to time or the first derivative of velocity with respect to time. The SI unit of acceleration is as [tex]m/s^2[/tex].
An object is said to accelerate when its velocity changes. A change in the speed of an object can be an increase or decrease in speed or a change in direction of motion. Some examples of acceleration are a falling apple, the moon orbiting the Earth, or a car stopping at a traffic light.
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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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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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