Our understanding of gravity is wrong for great distances is an alternate explanation of the rotation curve.
What is galaxies and its types?Astronomers classify galaxies into three basic categories: elliptic, spiral, and irregular. These galaxies come in a wide range of sizes, from star clusters with as few as 25 million stars to massive galaxies with more than a trillion stars.
How do galaxies develop?Massive gas clouds that collapse + rotate are the starting point for galaxies. Stars develop within them as they develop. The collision of entire galaxies can alter their appearance. We can view planets at earlier stages of evolution by gazing deep into space, which helps us understand how galaxies evolve.
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on a whim, you are trying to stand in a cart attached to a strong spring. the spring is compressed and then released, and you oscillate back and forth, trying to maintain your balance. there is a sand bag in the cart.
The effect that this will have on the amplitude of your oscillation.is b.) The amplitude of oscillation will decrease.
What is the amplitude?The amplitude of an oscillating system is the magnitude of change in the oscillating variable with each oscillation. Sound waves in air, for example, are oscillations in atmospheric pressure, and their amplitudes are proportional to the pressure change during one oscillation.
When a wave travels through a medium, it loses energy as it moves. As the distance between the wave and its source grows, it spreads out over a larger and larger area. As the wave spreads through the medium, it loses energy and its amplitude decreases.
In this case, at the point of equilibrium, the cart and the skater will have maximum kinetic energy. By dropping the same bag, the energy is reduced. The amplitude of an oscillating pendulum decreases with time because of friction due to air
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On a whim, you are trying to stand in a cart attached to a strong spring. The spring is compressed and then released, and you oscillate back and forth, trying to maintain your balance. There is a sand bag in the cart.
At the instant you pass through the equilibrium (x=0) location of the spring, you drop the sandbag onto the ground, out of the cart.
Question: If you drop the sand bag out of the cart right at the equibrium location, what effect will that have on the amplitude of your oscillation? (choose correct choice):
a.) The amplitude of oscillation will increase.
b.) The amplitude of oscillation will decrease.
c.) There will be no effect on the amplitude.
a bullet is shot into a large lead block and comes to rest (the block remains at rest as the bullet embeds in it). temperature measurement of the block shows that the bullet lost 1,729 j of kinetic energy and motion sensors show that it was moving at 597 m/s just as it hit the block. what is the mass of the bullet in grams?
The mass of the bullet is 9.7 grams.
As total mechanical energy is the sum of all the kinetic as well as potential energy stored in the system.
i.e.ME = KE + PE
As given in the problem bullet is fired into a large stationary absorber and comes to rest. So PE = 0.
Temperature measurements of the absorber show that the bullet lost 1729 J of kinetic energy and high-speed photos of the bullet show that it was moving at 597 m/s just as it struck the absorber.
We know that KE = [tex]\frac{1}{2} mv^{2}[/tex], where
KE = kinetic energy = 1729J
m = mass
v = velocity = 597 m/s
Putting these values in above equation we get, m = 9.7 grams
So, the mass of the bullet is 9.7 grams.
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a person stands on a scale in an elevator. his apparent weight will be the greatest when the elevator a person stands on a scale in an elevator. his apparent weight will be the greatest when the elevator is moving upward at constant velocity. is moving downward at constant velocity. is standing still. is accelerating downward. is accelerating upward.
His apparent weight will be the greatest when the elevator accelerating upward.
What is accelaration?acceleration is the rate of to the change of the velocity of an object with respect by time.
When a person stand in an elevator moving upwards, he feels heavier because the elevator's floor presses harder on his feet, and the scale will show a higher reading than when the elevator is at rest.
According to Newton's second law
R = mg + ma
where;
R is the reading of the scale = apparent weight of the person
mg is the normal weight of the person
ma is the upward force acting on the person
Therefore, his apparent weight will be the greatest when the elevator is accelerating upward
(c) is accelerating upward
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Identify the highlighted vessel. The highlighted artery has two terminal branches. Name one of them. Identify the highlighted vessel.
The highlighted artery has two terminal branches are Basilic vein.
The basilic vein travels from the palm of your hand up your arm, passing by the side of your pinky and ulna (a long bone that runs from your elbow to your finger). Due to its proximity to the skin's surface, the basilic vein is regarded as superficial. The inner arm frequently exhibits it. The dorsal venous network's ulnar region is where the basilic vein first appears. The vena mediana cubiti connects to it at the anterior surface just below the elbow as it ascends the basilic vein of the forearm, which goes up the posterior surface of the ulnar side of the forearm.
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When a gun is fired, a very large force acts on the bullet for a very short time. The change in momentum of the bullet is given by the following relationship:
force (N) × time(s) = change in momentum (kg m/s)
(a) An average force of 4000 newton acts for 0.01 seconds on a bullet of mass 50g. Calculate the speed of the bullet. (Show your working.)
The speed of the bullet is determined as 800 m/s.
What is the speed of the bullet?
The speed of the bullet is calculated by applying Newton's second law of motion as shown below.
F = ma
where;
m is the mass of the bulleta is the acceleration of the bulletThe acceleration of the bullet is calculated as follows;
a = F / m
a = ( 4000 N ) / ( 0.05 kg )
a = 80,000 m/s²
The speed of the bullet is calculated as follows;
v = at
where;
t is the time of motion = 0.01 secondsv = 80,000 m/s² x 0.01 s
v = 800 m/s
Thus, the speed of the bullet at the given acceleration and time of motion is determined by applying first kinematic equation as shown above. The speed of the bullet measures the rate of change of distance of the bullet with time.
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Using the CER format (claims, evidence and reasoning), answer the following question: Three resistors are connected in series: (14 Ohms, 2.5 Ohms and 22 Ohms). If all these resistors were light bulbs, which would be the brightest? (CLEARLY IDENTIFY YOUR CLAIM, EVIDENCE AND REASONING.)
If all these resistors were light bulbs, 22Ω resistor is greatest, it would be the brightest bulb.
Brightness of bulb depends on voltage or current?Voltage and current both affect a bulb's brightness. The power affects brightness. The brightness will therefore rise whether the current or voltage is increased.A long bulb will shine when a round bulb is connected in series, but not the other way around. Because they are connected in series, both of them have the same current flowing through them, but the long bulb has a higher voltage across it due to its higher resistance (although if V=IR is not strictly followed, voltage drop does depend on resistance).However, if you connect a round and a long bulb in parallel, the round bulb will shine brighter because the voltage now equals across both bulbs, but the current through the round bulb is greater.Learn more about Brightness of bulb refer to :
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After landing on Mars an astronaut performs simple experiment by dropping rock: A quick calculation using the drop height and the time of fall yields a value of 3.73 m/s? for the rock's acceleration_ Find the mass of Mars, given that its radius Rm = 3.39x 106 m (Ans: 6.43 x 1023 kg] (Continued from the previous question) What is the acceleration due to gravity at a distance r = 2RM from the center of Mars? [Ans: 0.933 m/s?]
The acceleration due to gravity at a distance r = 2RM from the center of Mars will be 0.933 m/s².
What is acceleration?
In mechanics, acceleration is the rate of change of an object's velocity with respect to time. Acceleration is a vector quantity (as long as it has magnitude and direction). The direction of an object's acceleration is given by the direction of the net force acting on that object. As described by Newton's second law, the magnitude of an object's acceleration is the combined effect of two causes. ) The mass of this object is inversely proportional to the mass of the object, depending on the material the object was made from.
The SI unit of acceleration is meters per second square.
Therefore, The acceleration due to gravity at a distance r = 2RM from the center of Mars will be 0.933 m/s².
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a metallic laboratory spring is typically 5.00 cm long and 0.150 cm in diameter and has 50 coils. for related problemsolving tips and strategies, you may want to view a video tutor solution of calculating self-induced emf. part a if you connect such a spring in an electric circuit, how much self-inductance must you include for it if you model it as an ideal solenoid?
Self Inductance:
1.11 x 10^-7 H is the solenoid inductance
What is Self Inductance of a coil?The characteristic of a current-carrying coil that opposes or resists a change in the current running through it is called self-inductance. This mostly happens because of the self-induced emf that the coil produces. In layman's words, we can also state that self-inductance is a phenomenon where a voltage is induced in a wire that carries current.
Calculation:Given;
The spring's dimensions are
length L= 5 cm (0.05 m),
diameter = d 0.15 cm
radius = r = 0.075 cm (0.00075 m).
There are 50 coils in the spring.
N = 50;
The spring's area is determined using the formulas below;
A = π [tex]r^{2}[/tex]
A = 3.14 × (0.00075)^2
A = [tex]1.77[/tex] × [tex]10^-6[/tex] [tex]m^2[/tex]
The inductance of a solenoid is;
L = [tex]\frac{N^2 A}{l}[/tex]
L = [tex]1.11[/tex]×[tex]10^-7[/tex] H
1.11 x 10^-7 H is the solenoid inductance that needs to be accounted for in the model.
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hen a boat sails from salt water to fresh water, the boat will float A) lower in the water. B) higher in the water. C) at the same water level.
A boat that transitions from salt to fresh water will float at a lower level in the water. due to the fact that fresh water is less buoyant than salt water. The boat will therefore flow less in fresh water.
The force that makes things float is known as buoyant force. It is the force applied to a solid object that is partially or completely submerged in a liquid. The pressure differences occurring on the opposing surfaces of an object submerged in a static fluid are what cause buoyancy. Additionally called the buoyant force. It is pretty inevitable that an object's bottom will always be deeper in a fluid than its top, which is why there is a buoyant force.
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Saturn’s rings look bright because __________
light from the Sun reflects off the material inthe rings
the material in the rings is hot and createsits own light
light from Saturn reflects off the material inthe rings
The reason why Saturn's rings appear bright is because sunlight reflects off the ring material.
Because the ice particles in Saturn's rings scatter and reflect sunlight, the rings appear dazzling. Astronomers have long known that when Earth is directly between Saturn and the sun, Saturn's rings reflect sunlight with the greatest intensity. When light reflects off flat, polished surfaces (like a mirror or a pond) in a specific direction, it might appear exceptionally bright. The rings' actual nature becomes clear upon closer inspection. A mix of factors, such as gravity and collisions between the ring particles themselves, account for the rings' appearance of uniformity. Although the planets appear to be perfectly spherical, their spin causes them all to slightly bulge around the equator. The Saturnian ring system is the largest ring system in the Solar System. They are made up of innumerable tiny particles that orbit Saturn and range in size from micrometres to meters. With the exception of a small amount of stony material, the ring particles are virtually exclusively comprised of water ice.
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Match the items on the left with their meaning on the right.
1. describing sound as high or low
256 vibrations per second
2. middle C on the piano
amplitude
3. the speed of sound
solids
4. the loudness of a sound
compression
5. the part of the sound wave where molecules of air are pushed together
pitch
6. sound travels through this medium faster than through air
1/5 mile per second
7. the source of all sound
vibrations
Each of the items should be matched with their meaning as follows:
Amplitude ⇒ describing the sound as high or low.256 vibrations per second ⇒ middle C on the piano.1/5 mile per second ⇒ The speed of sound.Pitch ⇒ the loudness of a sound.Compression ⇒ the part of the sound wave where molecules of air are pushed together.Solids ⇒ sound travels through this medium faster than through air.Vibrations ⇒ the source of all sound.What is a sound wave?In Science, a sound wave can be defined as a form of mechanical wave that requires a medium for its propagation and it creates a disturbance in the medium. This ultimately implies that, a sound wave needs a medium to travel and it creates a disturbance when it travels through any medium.
Generally speaking, the loudness of a sound wave is typically referred to as a pitch. Additionally, sound wave travel faster through a solid medium than through air.
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Answer: pitch - describing sound as high or low
256 vibrations per second - middle C on the piano
1/5 mile per second - the speed of sound
amplitude - the loudness of a sound
compression - the part of the sound wave where molecules of air are pushed together
solids - sound travels through this medium faster than through air
vibrations - the source of all sound
a 2100-lb rear-wheel-drive tractor carries a 900-lb load of gravel centered at point l. the tractor starts from rest and accelerates forward at 2.6 ft/s2.
The net reaction of force on each of fore wheels = 113.5 N
What is force ?In physics, a force is an effect that can modify the velocity of an object. A mass-containing object can alter its velocity, or as a result of a force, accelerate. One way to think of force is as a push or pull. Due to the fact that it has both a magnitude and a direction, a force is a vector quantity.
According to the given information
Calculate the mass of tractor.
[tex]m_1 & =\frac{2100 \mathrm{lb}}{32.2 \mathrm{ft} / \mathrm{s}^2} \\[/tex]
[tex]& =65.217 \mathrm{lb} \cdot \mathrm{s}^2 / \mathrm{ft}[/tex]
Calculate the mass of gravel.
[tex]m_2 & =\frac{900 \mathrm{lb}}{32.2 \mathrm{ft} / \mathrm{s}^2} \\[/tex]
[tex]& =27.950 \mathrm{lb} \cdot \mathrm{s}^2 / \mathrm{ft}[/tex]
[tex]& \sum F_x=m a_x \\[/tex]
[tex]& 2 F=\left(m_1+m_2\right) a \\& F=\frac{1}{2}\left(m_1+m_2\right) a \\[/tex]
& F = [tex]\frac{1}{2}\left(65.217 \mathrm{lb} \cdot \mathrm{s}^2 / \mathrm{ft}+27.950 \mathrm{lb} \cdot \mathrm{s}^2 / \mathrm{ft}\right)\left(2 \mathrm{ft} / \mathrm{s}^2\right) \\& \quad[/tex]=93.167[tex]\mathrm{lb} \\[/tex]
[tex]& \sum F_y=0 \\[/tex]
[tex]& 2 N_A+2 N_B-2100-900=0 \\[/tex]
[tex]& N_A+N_B=1500 \mathrm{lb} \\[/tex]
Consider the algebraic sum of moments about A treating counter-clockwise moments to be positive
[tex]& \sum M_A=I_G a+\sum m a(d) \\[/tex]
[tex]& -2100(20)+2 N_B(60)-900(110)=0-m_1 a(20)-m_2 a(40) \\[/tex]
[tex]& -2100(20)+2 N_B(60)-900(110)=0-(65.217)(2)(20)-(27.950)(2)(40) \\[/tex]
[tex]& 120 N_B-141000=-4844.7 \\[/tex]
[tex]& N_B=1134.6 \mathrm{lb}[/tex]
Substitute [tex]$1134.6 \mathrm{lb}$[/tex] for[tex]$N_B$[/tex] in equation (1).
[tex]& N_A+1134.6=1500 \mathrm{lb} \\[/tex]
[tex]& N_A=365.4 \mathrm{lb}[/tex]
Calculate the net reaction on each of the rear wheels.
[tex]F_R & =\sqrt{N_A^2+F^2} \\[/tex]
[tex]& =\sqrt{(365.4)^2+(96.138)^2} \\[/tex]
[tex]& =377.83 \mathrm{lb}[/tex]
Calculate the angle made by the resultant reaction force with the horizontal at the rear wheels.
[tex]\theta & =\tan ^{-1}\left(\frac{365.4}{93.168}\right) \\[/tex]
[tex]& =75.7^{\circ}[/tex]
Calculate the net reaction on each of the for wheels.
[tex]& F_B=N_B \\& F_B=1135 \mathrm{lb}[/tex]
The net reaction of force on each of fore wheels = 113.5 N
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waves travel along a 100-m length of string which has a mass of and is held taut with a tension of . what is the speed of the waves?
The amount of space a wave covers in a certain amount of time, such as the number of meters it covers in a second, is known as its speed of wave.
The formula Speed = Wavelength x Frequency relates wave speed to both wavelength and wave frequency. The formula wave speed = frequency x wavelength relates wave speed to wavelength, frequency, and period. The speed of light, or roughly 300,000 kilometers per second, is the absolute speed limit at which a wave can move according to Einstein's theory of special relativity. A change in the medium is truly necessary to modify the wave's speed since the wave's speed is a feature of the medium. The wave speed is constant if the medium does not alter during the wave's motion.
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PLEASE HELP! 30 POINTS!!!
Please draw or show a car moving at a constant speed
I drew the first picture myself, and the second one is the image
find an expression for this integral involving the current i(t) and any needed constants given in the introduction.
The expression of current in the loop enclosed to the left of the capacitor plate is [tex]$I(t)=\frac{1}{\mu_0} \int B \cdot d L$[/tex].
What is Ampere's law?
The magnetic field produced by an electric current is proportional to the magnitude of that current, with a constant of proportionality equal to the permeability of empty space, according to Ampere's law.
As we know by Ampere's law that line integral of magnetic field around a closed loop is proportional to the current enclosed in the path
So we will have
[tex]$\int B \cdot d L=\mu_0 I(t)$[/tex]
so we have
[tex]$I(t)=\frac{1}{\mu_0} \int B \cdot d L$[/tex]
So above is the expression of current in the loop enclosed to the left of the capacitor plate.
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Label the structures of the hip. lliac crest lliac fossa Pubis Iliac crest Ischium Obturator membrane llium Obturator foramen
The femur, which is the thighbone, and the pelvis, which consists of the ilium, ischium, and pubis. The femoral head creates the ball of the hip joint, and the acetabulum creates the socket.
What tissues connect to the iliac crest?
Hip flexors, internal and external abdominal oblique muscles, erector spinae muscles, latissimus dorsi, transversus abdominis, and tensor fasciae latae are just a few of the significant abdominal and core muscles that are linked to the iliac crest.
What are the pelvis' four components?
The coccyx and sacrum make up the pelvic spine. The innominate bones are the pubic bone, ischial bone, and iliac bone that connect on either side.
Is the iliac crest the hip bone?
The largest of the three bones that make up the hip bone or bony pelvis, the ilium, has a conspicuous section called the iliac crest. A person will occasionally rest their hands on the curved section of the pelvis that creates the wing-like feature of the hip and lies close to the skin.
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rank the reservoirs of freshwater on earth by volume, with that containing the highest volume on top.
The freshwater reservoirs on earth are ranked by volume, with the one with the biggest volume at the top is-
1. ice caps; 2. groundwater; 3. lakes; 4. rivers.
Explain the freshwater reservoirs on earth?The atmosphere, the earth's surface, and the earth's interior are the three main locations where water can be kept.
Oceans, glacier ice, underground, lakes, soil humidity, living organisms, atmospheric atmosphere, and rivers are examples of these reservoirs, which are used to store water.There is an estimated 1.386 billion km3 (330 million cubic miles) of water on Earth, of which 97.5% is salt water and 2.5% is fresh water. Only 0.3% of a fresh water is liquid at the surface.More than 70% of freshwater is utilized for agriculture in the majority of the world's areas. An estimated 50% increase in agricultural output and a 15% increase in water flows are needed by 2050 to feed a globe of 9 billion people.Thus, the freshwater reservoirs on earth are ranked by volume, with the one with the biggest volume at the top is-
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the spool has a mass of 100 kg and radius of gyration about its mass center of . determine the smallest coefficient of static friction that will prevent slipping on the rail at a. what is the angular acceleration of the spool?
Minimizing static friction coefficient to prevent slipping if the turntable had experienced radius of gyration continuous angular acceleration when it was at rest.
What is meant by gyration radius?In general, the radius of gyration is the distance from a body's center of mass at which the entire mass could be concentrated without changing the body's moment of rotational inertia about the axis through the center of mass.
What does Formula K for radius of gyration mean?Equation for Radius of Gyration
The following is the formula for moment inertia in terms of gyroscope radius: I is the moment of inertia and m is the body's mass, and I = mk2 (1). The radius of gyration is given as follows as a result. k = I m ( 2 ) ( 2 ).
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hows a thin liquid film bounded on the right side by a sliding wire that is attached to a spring with spring constant 0.50 n/m. the spring is stretched by 1.8 cm.
The thin film developed on sliding wire is 0.018m.
If the thermodynamic properties of the thin liquid films formed between the particles and the subsequent chemical reactions are ignored, the phenomena that occur after the addition of water to PbO can be explained simply as follows:
(a) initially the PbO particles are hydrated and their surface is covered with absorbed water.
(b) a wedge of liquid forms at the points of contact between the particles.
(c) this wedge forms water rings on the surface of the partially wetted particles in the contact regions.
(d) these rings exert cohesive forces that hold separate particles together in a largely loose system.
S=w/2l
l=w/2S
I=1.8/2x 0.50=1.8cm =0.018m
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the glowing filament in a lamp is radiating energy at a rate of 60 w. at the filament’s temperature of 1500∘c, the emissivity is 0.23.
The surface area of the filament is 4.66*10⁻⁴ m².
The formula for calculating the radiating energy at a rate, P:P = e*σ*A*T⁴
where,
P = radiating energy at a rate
e= emissivity
σ = Stefan's Constant (5.67 *10⁻8 W/m².K⁴)
A= Surface Area
T = Temperature of the glowing filament (absolute temperature °K)
Given in the question:P = 60 w.
T = 1500°C+ 273°K
=1773°K
e= 0.23.
substituting into the equation:
P = e*σ*A*T⁴
60 w = 0.23. * 5.67 *10⁻8 W/m².K⁴ * A * (1773°K)⁴
Making A subject of the formula we have:
A = 60 w
0.23. * 5.67 *10⁻8 W/m².K⁴ * (1773°K)⁴
A = 60 w
0.23. * 5.67 *10⁻8 W/m².K⁴ * (9.88*10¹² °K)
A = 4.66 *10⁻⁴ m²
Hence, the surface area is 4.66 *10⁻⁴ m².
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what wavelengths appear in the system's emission spectrum? 4, 1.5, 0
Wavelengths are 310 nm , 827 nm , 496nm
What is wavelength ?Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal carried in space or over a wire.
According to the given information
E = hc/wavelength [tex]10^{-19}[/tex]
a) n=3 to n=1
E = 4.0 - 0.0 = 4.0 eV = 4×1.602 × [tex]10^{-19}[/tex]= 6.40×[tex]10^{-19}[/tex] J
= wavelength = 19.86×[tex]10^{-26}[/tex]/(6.40×[tex]10^{-19}[/tex]) = 3.10×[tex]10^{-7}[/tex] = 310 nm
b) n=2 to n=1
E = 1.5 - 0 = 1.5 eV = 1.5×1.602× [tex]10^{-19}[/tex] = 2.40×[tex]10^{-19}[/tex] J
= wavelength = 19.86×[tex]10^{-26}[/tex]/(2.40×[tex]10^{-19}[/tex]) = 8.27×[tex]10^{-7}[/tex]= 827 nm
c) n=3 to n=2
E = 4.0 - 1.5 = 2.5 eV = 2.5×1.602×[tex]10^{-19}[/tex] = 4×[tex]10^{-19}[/tex] J
= wavelength = 19.86×[tex]10^{-26}[/tex](4×[tex]10^{-19}[/tex]) = 4.96×[tex]10^{-7}[/tex] = 496nm
Wavelengths are 310 nm , 827 nm , 496nm
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A bungee jumper with a mass of 78 KG has a gravitational potential energy of 102562 J before jumping determine the height of the bungee jumper from the earth
The height of the bungee jumper from the earth, given that it has a mass of 78 Kg is 134.17 m
How do I determine the height?From the question given above, the following data were obtained:
Mass of bungee jumper (m) = 78 KgPotential energy of bungee jumper (PE) = 102562 JAcceleration due to gravity (g) = 9.8 m/s² Height of bungee jumper (h) = ?Considering the above data, we can determine the height of the bungee jumper as follow:
PE = mgh
102562 = 78 × 9.8 × h
102562 = 764.4 × h
Divide both sides by 764.4
h = 102562 / 764.4
h = 134.17 m
Thus, we can conclude that the height is 134.17 m
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you add equal amounts of heat to two identical cylinders containing equal amounts of the same ideal gas. cylinder a is allowed to expand, while cylinder b is not. Part A How do the temperature changes of the two cylinders compare?
Temperature rise will be there in cylinder B more than in cylinder A because of internal energy.
what is internal energy?
The sum of the kinetic and chemical potential energies of all the particles in the system is the internal energy. Particles accelerate and pick up kinetic energy when energy is applied to increase the temperature.
Briefing:
Cylinder A uses the heat it absorbs to both work while expanding and to increase internal energy (or temperature).
While cylinder B solely uses the heat it absorbs to increase its internal energy
As a result, cylinder B's temperature rise is greater than cylinder A's.
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An object with a mass of 1.5 kg changes its velocity from +15 m/s to +22 m/s during a time interval of 3.5 seconds. What impulse was delivered to the object?
Answer:
10.5kgm/s
Explanation:
mass(m) = 1.5kg
initial velocity(u) = 15m/s
final velocity(v)= 22m/s
time(s) = 3.5 sec
impulse = force × time
force = change in momentum/time taken
f= m(v-u)/t
f = 1.5( 22 – 15 ) / 3.5
f= 1.5 ( 7 ) /3.5
f= 10.5/3.5
f = 3N
impulse = force × time
I = f × t
I = 3 × 3.5
I = 10.5 kgm/s
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a dragster starts from rest and accelerates down a track. each tire has a radius of 0.320 m and rolls without slipping. at a distance of 384 m, the angular speed of the wheels is 288 rad/s. determine (a) the linear speed of the dragster and (b) the magnitude of the angular acceleration of its wheels.
(a)Vt =r=(288)(0.32)=92.2m/s is a straightforward formula that may be used to calculate the dragster's linear speed at a distance of df = 384 m.
(b) We utilize the following two kinematic equations to determine the angular acceleration of the dragster's wheels during this time: delta theta = 1/2 at2 and wf = at.
By magnitude, what do you mean?Simply said, magnitude is "distance or amount." It shows the size or direction that an item travels in either an absolute or relative sense. It is a way of expressing something's size or scope.
What does magnitude example mean?Size is referred to as magnitude. A automobile is traveling more quickly than a bike, for instance, when it comes to speed. The extent of the car's speed in this situation.
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what do rx, ry, , and |r| represent in terms of the force of the current, and what do they represent in terms of the forces moving the boat?
Rx and Ry represent the x- and y-components of the force of the current, respectively.
The magnitude of the force of the current, or the strength of the current, is represented by |r|. In terms of the forces moving the boat, the x- and y-components of the force of the current represent the horizontal and vertical forces that the current exerts on the boat.
|r| represents the magnitude of this force, which can be thought of as the intensity of the current. The stronger the current, the greater the force it will exert on the boat and the greater impact it will have on its movement.
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given an electron beam that is aimed west at the equator, what was the direction of the magnetic force on the electrons due to the earth's magnetic field? hint: the earth's magnetic field is directed north at the equator.
Answer:
magnetic force F = q
Explanation:
Three point charges are arranged at the corners of a square of side L as shown in the figure. What is the potential at the fourth corner (point A), taking V =0 at a great distance?
E4 = kQ.[2/a2 + 1/a2] appears to reflect the electric field at the fourth corner as a result.
What makes it a "electric field"?A characteristic of matter called an electric discharge generates multiple objects to either attract or repel each other depending on how it is charged (positive or negative). A region of space surrounding a static electricity particle or object known as an electrostatic potential is one in which an electricity would experience force.
Why is the electric field crucial?A personality electromagnetic field like light also requires a grasp of the electric field idea. We now have a mechanism to explain how starlight traverses enormous stretches of vacant desert in order to reach our eyes thanks to the electric field notion.
Briefing:Number of point charges = 3
E4 = E1 + E2 + E3
E4 = kQ/a2 + kQ/√(2a2) + kQ/a2
E4 = kQ.[ 1/a2 + 1/√(2a2) + 1/a2 ]
E4 = kQ.[ 2/a2 + 1/a√2 ]
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a solution has a poh of 4.75 at 50∘c. what is the ph of the solution given that kw=2.35×10−14 at this temperature?
In other words, pH equals the negative log of the KW value given at 2.35 times 10 to the negative 14 -30H given at 4.75°C temprature. We also obtain 888.
What is pH?The pH scale determines how acidic or basic water is. The range is 0 to 14, with 7 representing neutrality. Acidity is indicated by pH values below 7, whereas baseness is shown by pH values above 7. In reality, pH is a measurement of the proportion of free hydrogen and hydroxyl ions in water.
Why is pH so crucial?A solution's pH is a significant indicator of its chemical composition. The pH can affect how readily available nutrients are, how biological processes work, how bacteria behave, and how chemicals behave.
If Kw = [H⁺][OH⁻] = 2.5 x 10⁻¹⁴, then
log₁₀ [H⁺] + log₁₀ [OH⁻] = log₁₀ (2.5 x 10⁻¹⁴), or
-log₁₀ [H⁺] - log₁₀ [OH⁻] = -log₁₀ (2.5 x 10⁻¹⁴), which is
pH + pOH = -log₁₀ (2.5 x 10⁻¹⁴) = 13.60
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A worker stands still on a roof sloped at an angle of 36 degrees above the horizontal. He is prevented from slipping by a static frictional force of 390 N. Find the mass of the worker.
The projection of the mg on the inclined roof is mg*sin (36), which must be equal to the friction force of 390: When we solve for mass m using mg*sin (36) = 390, we obtain m=390/ (9.8*sin (36)) = 67.70 kg.
What are weight and mass?A body's mass is used to calculate how much matter it contains. m or M are used to indicate mass. Weight is a unit of measurement for the force that gravity's acceleration has on a mass. W typically stands for weight.
Calculate the force required to accelerate a car with a rate of 5 ms-2 if the car weighs 1000 kg.Given that Mass (m) = 1000 kg and Acceleration (a) = 5 m/s 2, what is Force (F)? We are aware that F = m a = 1000 k g 5 m / s 2 = 5000 k g m / s 2 Therefore, the needed force is equal to 5000 m/s2 or 5000 N.
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