The kinetic energy would increase by a factor of 25.
The kinetic energy of a moving body is a function of its mass and the velocity with which it is traveling. It can be expressed by the formula:
KE=1/2mu²
This suggests that the kinetic energy a body has varies directly with mass and with the square of the velocity. With this knowledge, we can easily figure out how it changes when the speed is altered by a certain factor. Assuming that the initial speed of a body of mass m was u, the initial kinetic energy of the body would be:
KE = 1/2mu²
Now that the speed is increased by a factor of of 5, the final speed y would be equal to 5 times the initial speed u, such that v=5u. The kinetic energy of the body would then be:
KE = 1/2m²
KE = 1/2m(5u)
KE = 1/2m(252)
Pulling out 25 and replacing the expression for the initial kinetic energy:
KE = 25.1/2mu²
KE = 25KE
So, on increasing the velocity by a factor of 5, the kinetic energy would increase by a factor of 25.
What is kinetic energyKinetic energy is the energy possessed by an object caused by the force of motion. The term kinetic comes from the Greek, 'kinetikos', which means to move. Therefore, an object moving at a certain speed must have kinetic energy, while an object that is not moving does not have kinetic energy.
Kinetic energy is also called motion energy, where the movement of an object can produce other energy. For example, motion energy can be turned into electrical energy, eventually that electrical energy can be utilized by humans.
Types of kinetic energyKinetic energy is divided into two types which are classified based on the movement of an object, namely:
Translational kinetic energyThis type of translation is kinetic energy produced by objects moving in a straight line with the same direction and speed. For example, a car driving on a highway and a bullet moving in a straight line.
Rotational kinetic energyThis is a condition when an object rotates. When rotating, the amount of energy in it can change. For example, the rotation of the earth around the sun, a spinning top that rotates on its axis, and a Ferris wheel.
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a light truck can go around a flat curve of a 140 m radius with a speed of 26 m/s. what is the acceleration of the truck (in m/s2)
The acceleration of the light truck travelling around a flat curve with a radius of 140 m and a speed of 26 m/s is 17.14 m/s².
The acceleration of a light truck travelling around a flat curve with a radius of 140 m and a speed of 26 m/s can be calculated by using the equation: acceleration = (v2/r).
In this equation, ‘v’ is the speed of the truck, and ‘r’ is the radius of the curve.
Therefore, when substituting these values into the equation, we get: acceleration
= (262/140)
= 17.14 m/s².
This means that the acceleration of the light truck travelling around a flat curve with a radius of 140 m and a speed of 26 m/s is 17.14 m/s².
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lisa exposes an iron paper clip to a very strong magnet. she is now able to pick up other paper clips using her newly magnetized clip. what happens within the paper clip in order for it to become magnetized?
Lisa can now pick up other paper clips with her freshly magnetized clip after exposing an iron paper clip to a very powerful magnet, which aligns the magnetic domains within the clip.
When a small portion of the iron filings comes into contact with the poles, which are the ends of the magnet, all of the filings are drawn to them. An opposite pole and a similar pole make up a magnet's two poles. While similar poles repel, opposite poles attract. The magnetic force between two magnets increases as the distance between them decreases.
There are three different types of magnets, Permanent magnet, Temporary magnet ,Electromagnets.
When ferromagnetic substances like iron and nickel are exposed to a magnetic field, magnets are produced. When heated to a certain temperature, metals acquire permanent magnetic properties.
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Describe how transferring energy into the container affected the speed of the marbles.
The speed changes as a result of the energy being transferred into a container filled with magnetic marbles and the kinetic energy produced by the container's gentle shaking. Phase shifts will result from this.
The energy of a system changes together with each phase change it undergoes. These involve kinetic energy transmission to a system. Endothermic reactions occur when a condition changes from being more ordered to being less ordered. Exothermic reactions are always involved in transitions from one state to another that is more organised.
When a substance transforms from one state to another, a phase change occurs in the system. When the system receives enough energy or loses enough energy, these changes take place. Phase changes also happen when the system's pressure is altered.
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Complete Question:
Describe how does transferring energy into a container of magnetic marbles affect the speed by shaking the container gently?
question 1 of 30 next questionunsaved change moving to the next question prevents changes to this answer.question 1 during distillation, what is the placement of the bulb of the thermometer?
The process of distillation involves selectively boiling and condensing to separate the volatile components of a liquid mixture.
Both partial and total separation may result from this procedure. A large range of commercial processes, including the creation of alcohol and kerosene gasoline, use distillation. It is crucial to suspend a drop of condensate from the thermometer during a distillation because this promotes steady distillation and maintains a constant temperature.Since the bulb of the thermometer is in contact with both the vapour and liquid that are entering the condenser, a higher temperature will be recorded if it is situated below the opening to the condenser than if it is put close to the aperture.
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What is the function of the muscles around the lens in the human eye?
They focus light rays onto light-sensor cells at the back of the eye.
They control the amount of light that passes through the lens.
They send signals to the brain.
They change the shape of the lens.
Answer: They change the shape of the lens
Explanation: It enables the lens to change its shape to focus on objects at various distances
which type of wave is characterized by particle motion that is both perpendicular and parallel to the wave? responses longitudinal longitudinal electromagnetic electromagnetic surface surface transverse
Mechanical waves come in two different varieties: longitudinal waves, in which the medium is moved in the same direction as the wave.
What kind of wave is distinguished by the motion of a particle that moves perpendicular to the wave?The motion of the wave and the particles is always parallel in longitudinal waves. A classic illustration of a longitudinal wave is a sound wave that is moving through air.
What kind of wave best explains situations where particle motion is opposed to energy motion?Particles are displaced perpendicular to the wave's direction in a transverse wave. Transverse waves, such as those that cause ripples on the water's surface and vibrations in a string, are examples.
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FILL IN THE BLANK. the electric field inside the dome of a highly-charged van de graaff generator is _________.
The electric field inside the dome of a highly-charged van de graaff generator is ZERO.
Van de Graaff generators are electrostatic generators and partial accelerators that store direct current on a hollow sphere by creating a strong electric field. With a potential difference of up to 5 megavolts, it is a partial accelerator.
The dome of the Van de Graaff generator is a hollow spherical. The electric field within a hollow conductor will be zero in a charged state due to electrostatic shielding.The scenario is comparable to that of an electric field or a hollow conductor conveying current.There is no static energy in an uncharged state to create an electric field on the dome. It is because there could be a loss on the dome's surface.know more about electric field here
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describe how the electrostatic force between two charges changes when the distance between those two charges is tripled
The square of the separation distance is inversely correlated with the electrostatic force. F is therefore nine times smaller, or one-ninth the original value, if d is three times larger.
Coulomb's Law states that the force exerted between two charged objects is inversely related to their square of distance. As a result, if the distance is tripled, the force will be nine times weaker. The force between two charges is inversely proportional to the square of the distance between them and directly proportional to the product of the charges. The force between the two charges will therefore treble if the charge on q1 is tripled while the other charge and distance remain constant.
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determine the empirical formula for maleic acid. enter the atoms in order of c, h, and o.
The empirical formula is CHO.
Maleic acid generates 1.599g of CO2 and 0.327g of H2O from a sample of 1.054 g.
So, use molar masses to calculate mass.
1.599 grams of [tex]CO_2[/tex] at (12.01 grams of carbon)/(44.01 grams of carbon) = 0.436 grams of carbon
0.037 grams of hydrogen are equal to 0.327g of H2O at (2.016 g Hydrogen) / (18.01 g/mol H2O).
1.054 g sample divided by 0.436 g of carbon and 0.037 g of hydrogen yields 0.581 g of oxygen.
Now locate moles by using molar masses.
0.436 grams of carbon with a molecular weight of 12.01 = 0.0363 mol C
0.0367 mol H for 0.037 grams of hydrogen and 0.0363 mol O for 0.581 grams of oxygen
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The complete question should be:
In combustion analysis, a 1.054-g sample of maleic acid yields 1.599g of CO29 and 0.327g of H20.
When 0.609g of maleic acid dissolved in 25.00g of glacial acetic acid, the freezing point drops by 0.82 degrees C Maleic acid does not ionize in glacial acidic acid, which has a freezing point depression constant of Kf=3.90*c/m.
In a titration experiment, a 0.4250-g sample of maleic acid is dissolved in water and requires 34.03ml of 0.2152 M KOH for its complete neutralization.
The pH of 0.215g of maleic acid in 50.00mL of the aqueous solution is found to be 1.80.
Determine the empirical formula for maleic acid. Enter the atoms in order of C, H, and O.
maxwell developed his theory of electromagnetism by combining previous discoveries. he added his own original hypothesis that
The hypothesis is that, a changing electric field gives rise to a magnetic field.
What is electromagnetism?
The electromagnetic force that exists between electrically charged particles is the subject of the branch of physics known as electromagnetism. One of the four fundamental forces is the electromagnetic force.
What is electric field?
The physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them, is known as an electric field (or E-field).
What is magnetic field?
The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field.
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the maximum lift-to-drag ratio of the world war i sopwith camel was 7.7. if the aircraft is in flight at 2250 ft when the engine fails, how far can it glide in terms of distance measured along the ground?
The far that can it glide in terms of distance measured along the ground is 38,500 ft.
Given that,
World War I Sopwith Camel was 7.7.
If the aircraft is in flight at 5000 ft when the engine fails.
Based on the above information, the calculation is as follows:
[tex]\begin{aligned}& \frac{\text { lift }}{d r a g}=\frac{\text { Distance }}{\text { height }} \\& 7.7=\text { Distance } \div 5500\end{aligned}[/tex]
So, the distance is 38,500 ft.
Distance is a measurement of how far away two things or locations are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common use.
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Consider an R-L circuit with a DC voltage source, as shown in the figure. This circuit has a current 1, when t <0. At t=0 the switch is thrown removing the DC voltage source from the circuit. The current decays to I(t) at time t AA VVV R A.) What is the power, Pr(t), flowing into the resistor, R, at time t? Express your answer in terms of I(t) and R. B.) What is the power flowing into the inductor? Express your answer as a function of R and I(t).
The power, the resistor and time is I²₀R e-2Rt/L and - I₀²R e-2Rt/L .
Work rate or energy delivery time is expressed as W/t, where W is the quantity of work completed or energy delivered, and t is the time interval.
A passive electrical device with two terminals that controls or limits the flow of electricity across electrical circuits. The main function of a resistor is to lower the voltage and reduce the current flow in a specific area of the circuit.
a) L di/dt + iR = 0 -Rt/L
= I = I₀ e
At t=0. I = I₀
= Pr = I²R = I₀ R e = -2Rt/t
= Pr (t) = I²₀R e-2Rt/L
b) Energy of inductor = 1/2 L I²
= 1/2 L I₀² e-2Rt/L
Power, Pl (t) = dE/dt
= d/dt (1/2 LI₀² e-2Rt/L)
= 1/2 t I₀² ( e-2Rt/L) e-2Rt/L
Pl (t) = - I₀²R e-2Rt/L
Therefore, the power, the resistor and time is I²₀R e-2Rt/L and - I₀²R e-2Rt/L .
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calculate the magnitude of the electric field e = (-11i^+14j^)n/c.
The magnitude of the electric field is 17.80
We are given that,
e = (-11i^+14j^)n/c
x component = -11
y component = 14
To calculate the magnitude of the electric field we can use formula ,
e = √x² + y²
e = √-11² + 14²
e = √121 + 196
e = √317
e = 17.80
Therefore , the magnitude of the electric field would be 17.80.
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what is the de broglie wavelenghth and speed of an electron accelerated by a potential difference of 250v?
The de Broglie wavelength and speed of an electron accelerated is 0.1896nm.
1/2 m[tex]v^{2}[/tex] = K.E = ev
Charge on electron = 1.6 × [tex]10^{-19}[/tex]coulombs
Mass of electron = 9.1 × [tex]10^{-31}[/tex]Kg
1/2 × 9.1 × [tex]10^{-31}[/tex] × [tex]v^{2}[/tex] = 1.6 × [tex]10^{-19}[/tex] × 250
[tex]v^{2}[/tex] = [tex]\sqrt{0.02552}[/tex]
v = 2.125 × [tex]10^{6}[/tex]
λ = h/mv = 0.1896nm.
A subatomic particle having a negative one elementary electric charge is known as an electron (e or ). Due to their lack of known components or substructure, electrons, which are part of the lepton particle family's first generation, are typically considered to be elementary particles. [1] The mass of an electron is roughly equivalent to that of a proton (1/1836). [15] The electron's inherent angular momentum (spin), which is measured in terms of the scaled-down Planck constant,, is one of its quantum mechanical properties. The Pauli exclusion principle states that because electrons are fermions, no two of them may be in the same quantum state. [14] Like all elementary particles, electrons possess characteristics of both waves and particles. They can collide with other particles and undergo light-like diffractive bending. The electron wave characteristics are simpler.
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two people apply the same force from the same height to throw two identical balls in the air. will the balls necessarily travel the same distance? why or why not?
The gravitational force acting on the balls is different, so they won't necessarily move the same distance.
Everything falls at the same rate due to gravity. This explains why balls of different weights strike the ground simultaneously. The force acting downward is gravity, whereas the force acting upward is air resistance. The pull that is designated as tension is in that direction. As a result, the tension will point toward the string or rope and away from the mass. When a mass is hanging, the string pulls it upward, applying an upper force, which causes the tension to be on the upper side.
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PLEASE HELPPPPP
A 0.18 kg plastic ball moves with a velocity of 0.39 m/s. It collides with a second plastic ball of mass 0.016 kg, which is moving along the same line at a speed of 0.05 m/s. After the collision, both balls continue moving in the same, original direction. The speed of the 0.016 kg ball is 0.26 m/s. What is the new velocity of the 0.18 kg ball?
The new velocity of the 0.18 kg ball, given that it's initial velocity was 0.39 m/s is 0.37 m/s
How do I determine the velocity of the 0.18 kg ball after collision?The following data were obtained from the question:
Mass of first ball (m₁) = 0.18 KgInitial velocity of first ball (u₁) = 0.39 m/sMass of second ball (m₂) = 0.016 KgInitial velocity of second ball (u₂) = 0.05 m/sNew velocity of second (v₂) = 0.26 m/sNew velocity of first ball (v₁) = ?The new velocity of the first ball (0.18 Kg) can be obtained as follow:
Momentum before = Momentum after
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
(0.18 × 0.39) + (0.016 × 0.05) = (0.18 × v₁) + (0.016 × 0.26)
0.0702 + 0.0008 = 0.18v₁ + 0.00416
Collect like terms
0.18v₁ = 0.0702 + 0.0008 - 0.00416
0.18v₁ = 0.06684
Divide both sides by 0.18
v₁ = 0.06684 / 0.18
v₁ = 0.37 m/s
Thus, the new velocity of the 0.18 Kg ball is 0.37 m/s
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what would happen to the relative amount of uv radiation that the sun would emit if its temperature increased
Risks. Sunburn is a sign of short-term overexposure, while premature aging and skin cancer are side effects of prolonged UV exposure.
Risks. Premature ageing and skin cancer are side consequences of continuous UV exposure, whereas sunburn is a symptom of short-term overexposure. If eye protection is not used, UV exposure raises the risk of potentially blinding eye illnesses. UV radiation overexposure can cause major health problems, including cancer.
The amount of UV radiation is unrelated to the temperature. The position of the sun in the sky is mostly to blame for variations in UV levels between summer and winter. UV radiation is often impacted by changes in the stratospheric ozone and global climate change. More UVB (the higher-frequency, more dangerous kind of UV) may now reach the Earth's surface due to a decrease in stratospheric ozone.
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A superball with mass m equal to 50 grams is dropped from a height of hi = 1.5 m. It collides with a table, then bounces up to a height of hf = 1.0 m. The duration of the collision (the time during which the superball is in contact with the table) is tc = 15 ms. In this problem, take the positive y direction to be upward, and use g = 9.8 m/s2 for the magnitude of the acceleration due to gravity. Neglect air resistance. Part A: Find the y component of the momentum of the ball immediately before the collision. Part B: Find the y component of the momentum of the ball immediately after the collision, that is, just as it is leaving the table. Part C: Find the y component of the impulse imparted to the ball during the collision. Part D: Find the y component of the time-averaged force Favg, in newtons, that the table exerts on the ball. Part E: Find Kafter-Kbefore, the change in the kinetic energy of the ball during the collision, in joules.
The different component of the momentum of the ball is as bellow,
As per the details share in the above question are s bellow,
The mass of the super ball m is =50gm
The super ball drop from the height of = 1.5 m
Consider the ball's speed be v right before it hits the table.
Decrease of Potential Energy = Increase of Kinetic Energy
=> m x 9.8 x 1.5 = [tex]0.5 m v^{2}[/tex]
=> Therefore velocity = 5.42 m/s (- y direction)
A) Prior to a collision, the momentum component Y = mv
= - 0.05 x 5.42 = - 0.271 kg m/s
Consider the ball's speed be u right before it hits the table.
Increase of PE = Decrease of KE
=> m x 9.8 x 1 = [tex]0.5 m u^{2}[/tex]
=> u = 4.427 m/s (+ y direction)
B) Following the impact, the ball's Y contribution of momentum = mu
= 0.05 x 4.427 = 0.221 kg m/s
C) Now when Impulse imparted,
Consider Jy = change in momentum
= 0.221 - (-0.271) = 0.492 kg m/s
D) The ball time of contact is = 15 ms
Force = change inimpulse / time
= 0.492/0.015 = 32.82 N
E) change in Kinetic energy during collision
= KE after - KE before
[tex]= 0.5 \times 0.05 \times 4.427^{2} - 0.5\times0.05\times5.42^{2}[/tex]
= - 0.24445 J
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Note: The correct correct question would be as bellow,
As shown in the figure (Figure 1) , a superball with mass m equal to 50 grams is dropped from a height of hi=1.5m . It collides with a table, then bounces up to a height of hf=1.0m . The duration of the collision (the time during which the superball is in contact with the table) is tc=15ms . In this problem, take the positive y direction to be upward, and use g=9.8m/s2 for the magnitude of the acceleration due to gravity. Neglect air resistance.
A) Find the y component of the momentum Pbefore,y of the ball immediately before the collision (in kg x m/s)
B) Find the y component of the momentum of the ball immediately after the collision, that is, just as it is leaving the table (in kg x m/s)
C) Find Jy, the component of the impulse imparted to the ball during collision (in kg x m/s)
D) Find the y component of the time-averaged force Favg,y in Newtons, that the table exerts on the ball
E)Find Kafter - Kbefore, the change in the kinetic energy of the ball during the collision, in Joules.
1. What is Fad,x, the x-component of the force exerted by the infinite wire on segment ad of the loop?2. What is Fbc,x, the x-component of the force exerted by the infinite wire on segment bc of the loop?.3. What is Fnet,y, the y-component of the net force exerted by the infinite wire on the loop?
The Fad,x, the x-component of the force exerted by the infinite wire on segment AD of the loop is 2.39 X 10⁻⁸ N. The Fbc,x, the x-component of the force exerted by the infinite wire on segment BC of the loop is 9.56 X 10⁻⁹ N. The Fnet,y, the y-component of the net force exerted by the infinite wire on the loop is zero.
1. The Fad,x, the x-component of the force exerted by the infinite wire on segment AD of the loop =
= Fad,x = u₀i₁i₂H / (2πL)
= Fad, x = [ (4π X 10⁻⁷)(0.672)(0.256) X (0.25) ] /2π X 0.36
= Fad,x= 2.39 X 10⁻⁸ N
2. The Fbc,x, the x-component of the force exerted by the infinite wire on segment BC of the loop =
= Fbc,x = u₀i₁i₂H / (2π) X (L+W)
= Fbc,x = (4π X 10⁻⁷)(0.672)(0.256)((0.25)/2π X (0.36+0.54)
= Fbc,x = 9.56 X 10⁻⁹ N
3. The Fnet,y, the y-component of the net force exerted by the infinite wire on the loop =
= Fnet,y = 0, since force acting on perpendicular wire is zero.
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you are trying to open a door that is stuck by pulling on the doorknob in a direction perpendicular to the door. if you instead tie a rope to the doorknob and then pull with the same force, is the torque you exert increased?
No; the rope doesn't change the moment arm so the torque you exert won't increase.
In physics, a force is a power that can change the motion of an item. A force could purpose an object with mass to alternate its pace. Pressure also can be described intuitively as a push or a pull. A force has both value and path, making it a vector quantity.
A pressure is either a push or a pull and it affects our each day lives because without force, people might not be capable of open and near stuff or lift up our arms or legs .
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g a block is pulled at a constant speed along a rough level surface by a rope the magnitude of the normal force could be reduced by
g a block is pulled at a constant speed along a rough level surface by a rope the magnitude of the normal force could be reduced by greater than zero but less than W.
A force is an effect that can alter an object's motion according to physics. A force can cause an object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F. (formerly P). The net force acting on an object is equal to the rate at which its momentum varies over time, according to Newton's second law in its original formulation. Thrust, which increases an object's velocity; drag, which decreases an object's velocity; and torque, which causes changes in an object's rotational speed, are all concepts connected to force. Each part of an extended body often exerts stresses on the sections that are nearby; the distribution of these forces throughout the body is what is known as the internal mechanical stress.
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the subtle changes in the color of starlight let astronomers find planets, measure the speeds of galaxies, and track the expansion of the universe is called?
Answer:
Redshift, Blueshift, Doppler Effect, or Doppler Shift
Explanation:
When a star is moving towards us, the light waves get compacted and the light appears blue, this is known as blueshift.
When a star is moving away from us, the light waves get spread apart and the light appears red, this is known as redshift.
Both of these are called the doppler effect or doppler shift.
I'm not sure which answer you need but I hope this helps!
would the magnitude of the acceleration due to gravity near earth's surface increase more if earth's mass were doubled and
Yes, the magnitude of the acceleration due to gravity near Earth surface increases more if Earth's mass were doubled.
The magnitude of the acceleration due to gravity on the surface of the Earth is given by the relation,
g = GM/r²
Where,
G is the universal gravitational constant,
M the mass of the earth and,
R is the radius of the earth.
Now if the radius of the earth is kept constant and mass of the earth is doubled.
The value of the new acceleration due to gravity will become,
g' = G2M/r²
Putting GM/r² = g,
g' = 2g
So, we can see that the new acceleration due to gravity because of the increase in the mass of the earth is two times of the earlier acceleration due to gravity.
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a 57kg woman is in an elevator accelerating upward at 1.25m/s what is the normal force acting on her?
Answer: Fn = 630 N
Explanation:
ΣFy = Fn - mg = ma (The sum of the forces in the y-direction must equal mass * acceleration in the y direction)
Fn = mg + ma
Fn = m(g + a)
Fn = (57 kg)(9.8 m/s^2 + 1.25 m/s^2)
Fn = 630 N
ocko the clown (who has a mass of 60 kg) is standing still at the center of the ice rink when his rival bozo throws a 7 kg bowling ball in his direction at 10 m/s. assuming jocko catches the ball, how much energy is lost in the collision?
Assuming Jocko the clown (mass of 60kg) catches the 7kg bowling ball, which thrown into his direction at 10m/s, the energy that will lost in the collision is 313J (based on Conservation of momentum).
How to calculate the energy that will lost in collision based on conservation of momentum?Conservation of momentum is a major law of physics which states that the momentum of a system is constant if no external forces are acting on the system.
Based from the question given :
m₁ (mass of jocko) = 60kg
v₁ (initial speed of jocko) = 0 m/s
m₂ (mass of bowling ball) = 7kg
v₂ (initial speed of bowling ball) = 10 m/s
Now let's use the conservation of momentum formula
m₁ * v₁ + m₂ * v₂ = (m₁ + m₂) * V
60 * 0 + 7 * 10 = (60 + 7) * V
V = 70 / 67 m/s
Energy lost = Kinetic energy initial (bowling ball) - Kinetic energy final
= 1/2 * m₂ * v₂² - 1/2 (m₁ + m₂) * V²
= 1/2 * ((7 * 10²) - (67 * (70/67)²))
= 1/2 * 626.86
= 313.43J
=313J (rounded)
Therefore, energy that lost in the collision is 313J.
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a waterskier skis over the ramp shown in the figure at a speed of 30 ftys. how fast is she rising as she leaves the ramp?
A waterskier skis over the ramp shown in the figure at a speed of 30 ft/s, 7.73 ft/sec is rising as she leaves the ramp.
We assume the hypotenues = h
From the given figure (attached) ;
h² = x² + y²
Put the values of x and y from the figure
h² = 15² + 4²
h² = 225 + 16
h² = 241
Take under root on both sides
h = √241
From the figure the value of sin∅ = 4/h
Put value of h
sin∅ = 4 / √241
The rate at which she is rising = verticle velocity
The rate at which she is rising = 30sin∅
Put the value of sign∅
The rate at which she is rising = (30 * 4) / √241
The rate at which she is rising = 7.73 ft/sec
The missing figure is attached.
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if the strings are made of the same material, how would you expect the diameters of the lowest and highest strings to compare?
The correct option is B) [tex]d_{low} = 4d_{high}[/tex].The diameter of the lowest string is four times that of the highest string.
Because frequency is inversely proportional to the square root of mass density, the low string's mass density would be 16 times greater. The radius would increase by 4 times as a result.
If the diameter is same, the mass is same and the speed is 1/4 times due to the square root sign in the denominator. The frequency is 1/4 times because the wavelength is constant.
The relationship between frequency and diameter of a string is given by,
[tex]f=\frac{1}{L*d} \sqrt{\frac{4T}{\rho \pi}}[/tex]
Where,
L = length of the string
d= diameter of the string
T= tension of the string
[tex]\rho[/tex] = density of the string
Given, that the lengths of the strings are same; tension of the strings are same and as the string are of same material then the density of the strings are also same.
Thus, the frequency is inversely proportional to the string diameter.
f = 1/d
So, if
[tex]4f_{low} = f_{high}[/tex]
Then,
[tex]d_{low} = 4d_{high}[/tex]
Thus,the diameter of lowest string is 4 times the diameter of highest string.
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Your question is incomplete, here is the complete question
The 6 strings on a guitar all have about the same length and are stretched with about the same tension.The highest string vibrates with a frequency that is 4 times that of the lowest string.
If the strings are made of the same material, how would you expect the diameters of the lowest and highest strings to compare?
[tex]A.\ d_{low}=2d_{high}\\\\B.\ d_{low}=4d_{high}\\\\C.\ d_{low}=16d_{high}[/tex]
bert and ernie are pushing on opposite sides of the box. if they can both push with the same amount of force, what is true about the motion of the box?
The box will be in rest due to net force applied on it is zero.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
Given that Bert and Ernie are pushing on opposite sides of the box with force of same magnitude, let it be F.
So, net force acting om the force = F-F = 0.
As that net force acting on the box is zero, the box will be in rest.
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016 (part 1 of 2) 10.0 points
A neutron in a reactor makes an elastic headon collision with the nucleus of an atom initially at rest.
Assume: The mass of the atomic nucleus is
about 11.1 the mass of the neutron.
What fraction of the neutron’s kinetic energy is transferred to the atomic nucleus?
017 (part 2 of 2) 10.0 points
If the initial kinetic energy of the neutron is
4.2 × 10−13 J, find its final kinetic energy.
Answer in units of J.
No Rounding
The fraction of the neutron's kinetic energy transferred to the atomic nucleus is 2.05
If the initial kinetic energy of the neutron is
4.2 × 10−13 J, its final kinetic energy will be 2.50 joules
What is kinetic energy?kinetic energy of an object is described as the energy that it possesses due to its motion which is also the work needed to accelerate a body of a given mass from rest to its stated velocity.
In elastic head-on collision, the energy of the system and total momentum is conserved.
For the neutron,
m - mass
Vi - initial velocity
Vf - final velocity
For the atom ,
M- mass
Mi - initial velocity
Mf - final velocity
Conserved momentum on the head-on collision
mvi = mvf + MVF
vi - vf = MmVf
Vi- vf = 11.1 vf...... (i)
The kinetic energy is
Vi²- vf² = 11.1 v²f.......(ii)
Combining both equations
Vi + Vf = Vf
Solve equation (I) and (III) for Vi
vi = 5.4vf
Now, the fraction of the neutron's kinetic energy transferred to the atomic nucleus,
1/2 mv²f/ 1/2 mv²i = 11.1/ 5.4
If the initial kinetic energy of the neutron is
4.2 × 10−13 J, its final kinetic energy will be 2.50 joules
Hence, we can conclude that the fraction of the neutron's kinetic energy transferred to the atomic nucleus is 2.05
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if the surface temperature of the sun were to drop by a factor of 2.0, the power impinging on the earth would decrease by a factor of
If the surface temperature of the sun were to drop by a factor of 2.0, the power impinging on the earth would decrease by a factor of 8 times.
The quantity of energy transferred or transformed per unit of time is known as power. It is a mechanically accepted quantity. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power. Power is related to other factors; for instance, the power required to move a ground vehicle is equal to the product of the vehicle's velocity, traction force on its wheels, and aerodynamic drag. A motor's output power is calculated by multiplying its torque output by the angular velocity of its output shaft. Energy divided by time represents the dimension of power. The watt (W), which equates to one joule per second, is the unit of power in the International System of Units (SI). Another popular unit of measurement is horsepower (hp), which is equivalent to a horse's power; one mechanical horsepower is equal to around 745.7 watts. Ergs per second (erg/s), foot-pounds per minute (fpm), dBm (a logarithmic measurement in relation to 1 milliwatt), calories per hour (cal/h), BTU per hour (BTU/h), and tons of refrigeration are other units of power.
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