The energy that was lost due to air resistance while she was bouncing is determined as 3,360 J.
Conservation of energyThe amount of energy lost due to air resistance while she was bouncing is determined from the principle of conservation of energy.
ΔE = P.E - Ux
ΔE = mgh - ¹/₂kx²
ΔE = (50)(9.8)(16) - ¹/₂(35)(16)²
ΔE = 3,360 J
Thus, the energy that was lost due to air resistance while she was bouncing is determined as 3,360 J.
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2. Infer how hydrostatic equilibrium in a star is determined by mass-
Answer:
Greater gravity compresses the gas, making it denser and hotter, so the outward pressure increases. In any given layer of a star, there is a balance between the thermal pressure (outward) and the weight of the material above pressing downward (inward). This balance is called hydrostatic equilibrium.
A flywheel rotating at an initial velocity of 2.09 rad/s undergoes a change to 4.6 rad/s for precisely 5s
a) Calculate the angular acceleration of the flywheel.
b) Suppose the flywheel has moment of inertia of 1.5 kg m^2. Compute the wheels torque?
[Please answer if you know]
Answer:
A. 0.502
B. 0.753
Explanation:
A. The angular acceleration of the flywheel is equal to the change in angular velocity divided by the change in time, which is equal to (4.6-2.09)/5 which is 0.502.
B. Angular acceleration is equal to the net torque divided by the rotational inertia. If you rearrange the equation, torque is equal to angular acceleration times rotational inertia, which is 0.502 times 1.5 which is 0.753.
Answer:
Assumption: the angular acceleration of this flywheel is constant.
Angular acceleration: [tex]0.502\; {\rm rad\cdot s^{-2}}[/tex].
Net torque on this flywheel: [tex]0.753\; {\rm kg \cdot m^{2} \cdot s^{-2}[/tex] (or, equivalently, [tex]0.753\; {\rm N \cdot m}[/tex].)
Explanation:
Change in the angular velocity of this flywheel:
[tex]\begin{aligned}\Delta \omega &= \omega_{1} - \omega_{0} \\ &= 4.6\; {\rm rad \cdot s^{-1}} - 2.09 \; {\rm rad \cdot s^{-1}} \\ &= 2.51\; {\rm rad \cdot s^{-1}}\end{aligned}[/tex].
Divide this change in angular velocity [tex]\Delta \omega[/tex] with the duration [tex]t[/tex] of the acceleration to find the average angular acceleration of this flywheel:
[tex]\begin{aligned}\alpha &= \frac{\Delta \omega}{t} \\ &= \frac{2.51\; {\rm rad \cdot s^{-1}}}{5\; {\rm s}} \\ &= 0.502\; {\rm rad \cdot s^{-2}}\end{aligned}[/tex].
By Newton's Second Law for Rotation, the net torque on this flywheel would be the product of the angular acceleration and the moment of inertia of this flywheel, [tex]I[/tex]:
[tex]\begin{aligned}\tau_{\text{net}} &= I\, \alpha \\ &= 1.5\; {\rm kg \cdot m^{2}} \times 0.502\; {\rm s^{-2}} \\ &= 0.753\; {\rm kg \cdot m^{2} \cdot s^{-2}} \\ &= 0.753\; {\rm (kg \cdot m \cdot s^{-2}) \cdot m} \\ &= 0.753\; {\rm N \cdot m}\end{aligned}[/tex].
What will be the final velocity of a 5.0 g bullet starting from rest, if a net force of 45 N is
applied over a distance of 0.80 m?
The net force performs a total amount of work equal to
(45 N) (0.80 m) = 36 J
on the bullet, and this is in turn is equal to the change in the bullet's kinetic energy by the work-energy theorem. So we have
W = ∆K = 1/2 mv²
since the bullet starts at rest, where m = its mass and v = its final velocity.
Solve for v :
36 J = 1/2 (0.0050 kg) v² ⇒ v = 120 m/s
Choose the items that help to fully describe voltage.
Answer:
the easy way to describe this is to use a light as an example.
Explanation:
Voltage is pretty much the loop used to help use a lightbulb to emit light. Without voltage, we would be unable to use lightbulbs. This applies to much more than a lightbulb, but it's the easiest way to describe how voltage works.
what is precision?what is precision?
Answer:
According to Oxford Dictionaries "Precision" means "the quality, condition, or fact of being exact and accurate."
Explanation:
Hope this helps! :)
3. why is the sum of the maximum voltages across each element in a series r l c circuit usually greater than the maximum applied voltage? doesn't that inequality violate kirchhoff's loop rule?
The sum of the maximum voltages across each element in a series RLC circuit is usually greater than the maximum applied voltage because voltages are added by vector addition.
What is the Kichoff's loop rule?Kirchhoff's loop rule states that the algebraic sum of potential differences, as well as the voltage supplied by the voltage sources and resistances, in any loop must be equal to zero.
In a series RLCcircuit, the voltages are not added by scalar addition but by vector addition.
Kirchhoff's loop rule is not violated since the voltages across different elements in the circuit are not at their maximum values.
Therefore, the sum of the maximum voltages across each element in a series RLC circuit is usually greater than the maximum applied voltage because voltages are added by vector addition.
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Which times and distances are represented by the function? select three options. the starting distance, at 0 hours, is 300 miles. at 2 hours, the traveler is 725 miles from home. at 2.5 hours, the traveler is still moving farther from home. at 3 hours, the distance is constant, at 875 miles. the total distance from home after 6 hours is 1,062.5 miles.
The times and distances are represented by the function are
at 2 hours, the traveler is 725 miles from home. at 3 hours, the distance is constant, at 875 milesthe total distance from home after 6 hours is 1,062.5 miles.What is distance?The distance is the length of path travelled by a body when moving with some speed and taking time t.
Given function is
D (t) = 300t +125 for 0≤t<2.5
D (t) = 875 for 2.5 ≤t≤3.5
D(t)= 75t +612.5 for 3.5<t≤6
According to the given function, for 2 hours, the traveler will travel from home,
D (2) = 300x2 +125 = 725 miles.
For time between 2.5 to 3.5 hr, the distance is constant i.e. 875 miles.
For total time 6hr, the distance travelled will be
D(6) = 75 x 6 +612.5 = 1062.5 miles.
Thus, the correct options are picked up.
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Answer:
B, D, E
Explanation:
got it right on edge
Question 10 of 10
What is density?
A. The net energy transferred between two objects
B. A measure of mass per unit volume
OC. The force exerted on an area
OD. A measure of the movement of molecules
Answer:
B. A measure of mass per unit volume
Explanation:
trust me
Answer:ITS C I PASSED THE TEST
Explanation:I DID THE PLATO
2. Use the pattern of charge distribution to draw the relative size of the atoms in the space below. Please fill out the table!!! thank you
Potassium will have the greatest atomic size because of its number of shells, followed by sodium which 1 valence electron compared to magnesium the same number of shells but 2 valence electrons.
Relative size of the atomsThe relative size of the atoms is determined from the number of shells and valence electron contained in the atom.
Sodium, 11 ----> 2, 8, 1
Magnesium, 12 ----> 2, 8, 2
Potassium, 19, -----> 2, 8, 8, 1,
Potassium will have the greatest atomic size because of its number of shells, followed by sodium which 1 valence electron compared to magnesium the same number of shells but 2 valence electrons.
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John pulls a sled on a frictionless surface with a force of 60 N at an angle of 37o above the horizontal. If he pulls it a distance of 12 m, the work he does is: g
The work John does is 680 J (joules).
To calculate the work done by John, we need to use the formula:
Work = Force * Distance * cos(theta)
where Force is the applied force, Distance is the displacement, and theta is the angle between the force and the displacement.
Substitute the given values into the formula:
Force = 60 N
Distance = 12 m
theta = 37 degrees
Convert the angle from degrees to radians:
theta_radians = 37 degrees * (pi/180)
Calculate the cosine of the angle:
cos(theta_radians) = cos(37 degrees * (pi/180))
Calculate the work done by John:
Work = 60 N * 12 m * cos(37 degrees * (pi/180))
Simplify the equation and calculate the numerical value:
Work ≈ 680 J (joules)
Therefore, the work done by John is approximately 680 joules.
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when using a physical balance on what pan we place the object and why
Answer:
wood
Explanation:
Wooden pans are usually used Wood has less density than water so it will not sink in liquid substances derived from water.So during physical balance it won't affect the balance which we needTwo waves overlap producing a new wave that exhibits destructive interference. Which statement correctly describes the new wave?
A. It has a larger amplitude than the waves that overlapped to produce it.
B. It has deeper troughs than the waves that overlapped to produce it.
C. It has taller crests than the waves that overlapped to produce it.
D. It has a smaller amplitude than the waves that overlapped to produce it.
A new wave created by the destructive interference of two waves is produced. The new wave is accurately described in statement A. Its amplitude is greater than that of the waves that produced it.
What is the definition of destructive interference?Destructive interference happens when the maxima of two waves are 180° out of phase; a positive displacement of one wave is canceled exactly by a negative displacement of the other wave.
Two or more waves combining to produce a wave with a smaller displacement is called destructive interference.
Two waves overlap producing a new wave that exhibits destructive interference. It has a larger amplitude than the waves that overlapped to produce it.
Hence, statement A correctly describes the new wave.
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Question 1 of 32
Evaluate sin(55°).
From the four figure table, the value of sin(55°) to 4 dp is 0.8192.
What are trigonometric ratios?The term trigonometric ratios are those ratios that are obtained using the sides of a right angled triangle and they are sine, cosine and tangent.
If we have the value sin(55°), upon evaluation, we realize that the value of sin(55°) to 4 dp is 0.8192.
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12. what is the wavelength of em radiation that ejects 2.00-ev electrons from calcium metal, given that the binding energy is 2.71 ev? what type of em radiation is this?
From the calculation, the wavelength of the waves is about 264 nm and belongs to the ultraviolet spectrum.
What is photoelectric effect?The term photoelectric effect can be used to describe the loss of electron from the surface of a metal. Given that; KE = E - W, where;
KE = kinetic energy of the emitted photoelectron
E = energy of the photon
W = work function of the metal
[tex]2= E - 2.71\\E = 2 + 2.71\\E = 4.71ev or 7.5 * 10^-19 J[/tex]
λ= hc/E
λ= [tex]6.6 * 10^-34 * 3 * 10^8/7.5 * 10^-19[/tex]
λ= [tex]2.64 * 10^-7 m[/tex] or 264 nm
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The resulting net force of an object is represented below.
→10 N
Which most likely represent the forces acting on the object?
↑ 63 N and ↓ 73 N
↑ 97 N and ↓ 87 N
← 63 N and → 73 N
← 97 N and → 87 N
The option which most likely represent the forces acting on the object is ← 63 N and → 73 N.
What is Net force?When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.
When the resulting net force of an object is →10 N
The forces must be in x and -x direction to balance and give net force of 10 N in +x direction.
So, +73N -63 N = +10 N
Thus, the correct option is ← 63 N and → 73 N
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a heavenly body has a mass equal to half of the mass of the earth and its radius half as that of the earth . if a stone weight 100N on the surface of the earth , find the weight of the stone on the heavenly body.
The stone on the celestial body will be 50 N in weight. When the mass of a celestial body equals half of the mass of the earth.
What is the difference between mass and weight?The mass of the body is defined as the amount of matter a body has. It is denoted by m and its unit is kg.
Weight is defined as the amount of force an object exerts on the surface. It is given as the product of mass and the gravitational pull.
Given data:
[tex]\rm m_h = \frac{1}{2} m_E[/tex]
[tex]\rm r_h=\frac{1}{2} r_E[/tex]
[tex]\rm W_E = 100 \ N[/tex]
The weight of the body on earth is found as;
[tex]\rm W_E = m_Eg[/tex]
Substitute all the values:
[tex]\rm W_E = m_Eg \\\\\ 100 \ N = 2 m_hg \\\\ m_hg =50 \ N \\\\ W_h = 50 \ N[/tex]
Hence, the weight of the stone on the heavenly body will be 50 N.
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A snail is traveling along a straight path. The snail’s velocity can be modeled by
The acceleration of the snail will be 7/13 m/sec². The acceleration is found as the rate of change of the velocity.
What is acceleration?The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.
The given data in the problem is;
v(t)=1.4ln(1’t²) inches per minute
0<t<15 minute
Acceleration is found as;
[tex]\rm v('t)=1.4 \times \frac{1}{1+t^2} (2t)[/tex]
Acceleration at t= 5 minute;
[tex]\rm v'(5)=\frac{1.4(2)(5)}{1+5^2} =\frac{14}{26} \\\\ v'=\frac{7}{13}[/tex]
Hence, the acceleration of the snail will be 7/13 inch per square minute.
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Three objects have velocities that vary with time
#21
initial velocity=u=5m/sTime=t=2sAcceleration=a=1.3m/s²According to first equation of kinematics
v=u+atv=5+1.3(2)v=5+2.6v=7.6m/s#22
#a
v1=2+3(3)=2+9=11m/sv2=-8-4(3)=-20m/sv3=1-5(3)=-14m/sThe order is
v2<V3<v1#b
for speed find absolute velocity
S1=|11|=11m/sS2=|-20|=20m/sS3=|-14|=14m/sSo order is
S1<S3<S2
Answer:
See below ~
Explanation:
Question 21 :
⇒ v = u + at
⇒ v = 5 + 1.3 (2)
⇒ v = 5 + 2.6
⇒ v = 7.6 m/s
=============================================================
Question 22 : At t = 3
Subpart (a)
⇒ Object 1 : v = 2 + 3(3) = 11 m/s
⇒ Object 2 : v = -8 - 4(3) = -20 m/s
⇒ Object 3 : v = 1 - 5(3) = -14 m/s
⇒ Hence, their velocities are in the order : Object 2 < Object 3 < Object 1
Subpart (b)
⇒ Object 1 : v = | 2 + 3(3) | = 11 m/s
⇒ Object 2 : v = | -8 - 4(3) | = 20 m/s
⇒ Object 3 : v = | 1 - 5(3) | = 14 m/s
⇒ Hence, their speeds are in the order : Object 1 < Object 3 < Object 2
What an object conveys about the important events, advancements, and people of a specific time period is called the
cultural significance.
historical anecdote.
historical significance.
cultural importance.
The information being conveyed by an object about the important events, advancements, and people of a specific time period is known as: C. historical significance.
What is historical significance?Historical significance can be defined as an information that is being conveyed by an artistic object about the important events, advancements, technology, phenomenon, and people that have existed and occurred over a specific time period
This ultimately implies that, historical significance refers to the information that an object conveys with respect to the important events, advancements, technology, and people of a specific time period.
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What is the direction of a current that experiences the magnetic force shown above
east
south
north
west
Answer:
Sorry if I kwon the
answer I telling u
the answer sorry
Question 1 of 10
During an experiment, you take a measurement of 18.3 inches. What is this
measurement in centimeters? 1 in = 2.54 cm.
Answer:
[tex]46.482 cm[/tex]
Explanation:
[tex]Since 1 in = 2.54cm\\\\18.3 inches =(18.3 x 2.54) cm\\ =46.482cm[/tex]
which change to an object would reduce its kinetic energy by half
Answer:
I don't really understood the question
On a hot day, the deck of a small ship reaches a temperature of 48
17.0°C seawater on the deck to cool it down. During the cooling, 3,710,000 J are transferred to the
seawater from the deck. Assume no energy or mass is lost from the system. Use c = 3,930 J/kg°C for
seawater.
Calculate the final temperature of the seawater-deck system.
Write your answer rounding to the nearest tenth.
The final temperature of the seawater-deck system is 990°C.
What is heat?The increment in temperature adds up the thermal energy into the object. This energy is Heat energy.
The deck of a small ship reaches a temperature Ti= 48.17°C seawater on the deck to cool it down. During the cooling, heat Q =3,710,000 J are transferred to the seawater from the deck. Specific heat of seawater= 3,930 J/kg°C.
Suppose for 1 kg of sea water, the heat transferred from the system is given by
3,710,000 = 1 x 3,930 x (T - 48.17)
T = 990°C to the nearest tenth.
The final temperature of the seawater-deck system is 990°C.
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You launch a model rocket that has a mass of 1 kg. At a height of 500 m, it is
traveling at 120 m/s. What is its kinetic energy at this point?
A- 7,200j
B- 29J
C-60J
D- 14,400J
Based on the calculations, the kinetic energy of the model rocket at this point is equal to: A. 7,200 Joules.
Given the following data:
Mass = 1 kg.
Height = 500 m.
Velocity = 120 m/s.
How to calculate kinetic energy?Mathematically, kinetic energy can be calculated by using this formula:
K.E = 1/2 × mv²
Where:
K.E is the kinetic energy.M is the mass.V is the velocity.Substituting the given parameters into the formula, we have;
K.E = 1/2 × 1 × (120)²
K.E = 1/2 × 1 × 14,400
K.E = 7,200 Joules.
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The diagram shows two sets of vectors that result in a
single vector.
50 m
200 m
100 m
R
250 m
What are the first two steps for finding the magnitude
of the resultant vector?
find the square of the first horizontal vector and the
square root of the first vertical vector
find the square root of the first horizontal vector and
the square root of the second horizontal vector
find the sum of the two horizontal vectors and the
sum of the two vertical vectors
find the difference between the two horizontal
vectors and the difference between the two vertical
vectors
The first two steps for finding the magnitude of the resultant vector is find the sum of the two horizontal vectors and the sum of the two vertical vectors.
Resultant of two vectorsThe resultant of two vectors is determined from Pythagoras theorem is as shown below.
R² = a² + b²
First two steps of finding a resultant vectorsfind the sum of the two horizontal vectors and the sum of the two vertical vectors.Thus, the first two steps for finding the magnitude of the resultant vector is find the sum of the two horizontal vectors and the sum of the two vertical vectors.
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In alpha decay, alpha particles are ejected from the nucleus. which equation represents alpha decay?
Out of the given equations,
241Am 23Np + 4He
18F → 180+ °C
14C → 14N+_e
152 Dy → 15. Dy+y
The first equation shows the alpha decay which is ₉₅Am²²⁴ → ₉₃Np²³⁷ + ₂He⁴
What is alpha radiation?Alpha particles are emitted in the form of radiations when radioactive decay occurs. The atom of heavy nucleus emit the alpha particles that consist of two proton and two neutrons, also called helium nuclei.
The properties of alpha radiations are:
Alpha radiations can travel in a short distance.They can not penetrate into the skin or clothes.They can be harmful for the human when inhaled.They can be stopped by a piece of paper.The Americium with atomic weight 224 undergo alpha decay and produce ₉₃Np²³⁷ . The alpha particle is helium nuclei.
₉₅Am²²⁴ → ₉₃Np²³⁷ + ₂He⁴
Thus, the first equation represents alpha radiation.
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Calculate the velocity of an object.
moved around a circle with a radius of
1.65m and an acceleration of 3.5 rad /s²
Answer:
5.775 m/s
Explanation:
radial acceleration = velocity / radius
=> velocity = radial acceleration * radius
=> v = 3.5 * 1.65 = 5.775 (m/s)
Two blocks are on a horizontal frictionless surface. Block a is moving with an initial velocity
The final velocity of the block A will be 2.5 m/sec. The principal of the momentum conversation is used in the given problem.
What is the law of conservation of momentum?According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.
In a given concern, mass m₁ is M, mass m₂ is 3M. Initial speed for the mass m₁ and m₂ will be u₁=5 and u₂=0 m/s respectively,
According to the law of conservation of momentum
Momentum before collision =Momentum after collision
m₁u₁+m₂u₂=(m₁+m₂)v
M×5+3M×0=[M+3M]v
The final velocity is found as;
V=51.25 m/s
The velocity of block A is found as;
[tex]\rm V_f=\frac{(m_1-m_2)u_1}{m_1+m_2} +\frac{2m_2u_2}{m_1+m_2} \\\\ V_f=\frac{(M-3M)5+2\times3M\times0}{m_1+m_2} \\\\ V_f=2.5 m/s[/tex]
Hence, the final velocity of the block A will be 2.5 m/sec.
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A parallel plate air capacitor has a capacitance of 10 to the power -9. What potential difference is required for a charge of 5×10 to the power -5 C? What is the total energy stored in it?
The potential difference across the capacitor is 5 × 10∧4 volts and the energy stored in it is 1. 25 Joules
What is the energy in a capacitor?
The energy stored in a capacitor is an electrostatic potential energy.
It is related to the charge(Q) and voltage (V) between the capacitor plates.
It is represented as 'U'.
How to determine the potential difference
Formula:
Potential difference, V is the ratio of the charge to the capacitance of a capacitor.
It is calculated using:
V = Q ÷ C
Where Q = charge 5 × 10∧-5C and C = capacitance 10∧-9
Substitute the values into the equation
Potential difference, V = 5 × 10∧-5 ÷ 10∧-9 = 5 × 10∧4 volts
How to determine the energy stored
Formula:
Energy, U = 1 ÷ 2 (QV)
Where Q= charge and V = potential difference across the capacitor
Energy, U = 1 ÷ 2 ( 5 × 10∧-5 × 5 × 10∧4)
= 0.5 × 25 × 10∧-1
= 0.5 × 2.5
= 1. 25 Joules
Therefore, the potential difference across the capacitor is 5 × 10∧4 volts and the energy stored in it is 1. 25 Joules
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when a metal sphere is dropped in to a tall cylinder containing liquid its acceleration is g÷2 (gravity over 2) show that : density of metal =2density of liquid
The density of the metal sphere is 2 times the density of the liquid as proved.
Net upward force acting on the metal sphereThe net upward force acting on the sphere as it is dropped into the liquid is calculated as follows;
F = σVg - ρVg
ma = σVg - ρVg
where;
ρ is density of the liquidσ is the density of the metala is acceleration of the metalσV(a) = σVg - ρVg
σ(a) = σg - ρg
σ(g/2) = σg - ρg
g(σ/2) = g(σ - ρ)
σ/2 = σ - ρ
σ/2 - σ = - ρ
-σ/2 = - ρ
σ = 2ρ --- proved
Thus, the density of the metal sphere is 2 times the density of the liquid as proved.
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