The velocity of the resulting mass after the perfectly inelastic collision of identical balls of clay A and B is 1 m/s to the left.
Conservation of linear momentum
The final velocity of the two identical balls is determined by applying the principle of conservation of linear momentum as shown below;
m₁u₁ + m₂u₂ = v(m₁ + m₂)
where;
u₁ is the initial velocity of ball Au₂ is the initial velocity of ball Bv is the final velocity of both balls after collisionm₁ and m₂ are masses of the two ballsm₁ = m₂ = m
let right direction = positive direction
let left direction = negative direction
m(4) + m(-6) = v(m + m)
4m - 6m = 2mv
-2m = 2mv
v = -2m/2m
v = - 1 m/s
Thus, the velocity of the resulting mass after the perfectly inelastic collision of identical balls of clay A and B is 1 m/s to the left.
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a doctor measures the temperature of a patient to be 101 degrees . what is this temperature in kelvins
Answer:
the answer is 374.15 kelvins
Sally and Suzy are moving into their first college dorm together. They are loading all their furniture onto a truck with a ramp that is 8 feet long.
How far is the back of the truck off the ground if the mecanical advantage of this ramp is 2?
A) .25 ft
B) 4 ft
C) 8 ft
D) 16 ft
Answer:
B
Explanation:
Formula
Mechanical advantage = length of the ramp / height
Givens
Length of the ramp = 8
Mechanical advantage = 2
height = ?
Solution
2 = 8feet / height Multiply both sides by height
2* height = 8 feet * height / height Combine
2* height = 8 feet Divide by 2
2*height/2 = 8 feet/2
height = 4 feet.
A sound travels down a hallway that is 115 m long. Then it echoes and
returns back to the source. If the speed of sound is 350 m/s, how long
does it take in seconds) to hear the echo?
Answer:
0.66 s
Explanation:
∆x = v∆t → 2 × 115 = 350 ∆t → ∆t = 230/350 = 0.66 s
A (1.03x10^2)-mA current is used to charge up a parallel plate capacitor. A large square piece of paper is placed between the plates and parallel to them so it sticks out on all sides. What is the value of the integral ∮B⃗ .ds⃗ around the perimeter of the paper? Express your result in T.m with three significant figures.
Since a 1.03 × 10² mA current is used to charge up the parallel plate capacitor and a large square piece of paper is placed between the plates and parallel to them so it sticks out on all sides, the value of ∫B.ds around the perimeter of the paper is 1.29 × 10⁻⁷ Tm
Ampere's LawThis shows the relationship between the magnetic field, B, the path of integration, ds and the current enclosed by the magnetic field, i.
Ampere's law is given mathematically as
∫B.ds = μ₀i where
B = magnetic field, ds = arc length of path of integration, μ₀ = permeability of free space = 4π × 10⁻⁷ Tm/A and i = current enclosed by the path of integration, ds.Given that for the large square piece of paper, the current used to charge the capacitor is
i = 1.03 × 10² mA = 1.03 × 10² × 10⁻³ A = 1.03 × 10⁻¹ A and ds = path length around the perimeter of the paperThe value of ∫B.ds around the perimeter of the paperSince ∫B.ds = μ₀i
Substituting the values of the variables into the equation, we have
∫B.ds = μ₀i
∫B.ds = 4π × 10⁻⁷ Tm/A × 1.03 × 10⁻¹ A
∫B.ds = 4.12π × 10⁻⁸ Tm
∫B.ds = 12.94 × 10⁻⁸ Tm
∫B.ds = 1.294 × 10⁻⁷ Tm
∫B.ds ≅ 1.29 × 10⁻⁷ Tm
So, the value of ∫B.ds around the perimeter of the paper is 1.29 × 10⁻⁷ Tm
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why do we use dry cell in torch light ?
Answer:
The three reasons for this is because of high enrgy density, self-discharge, and small amount of energy.
Explanation:
These are why that happens.
Hope this helps!
-Justin
He much current is needed to operate a radio with a power of 80 watts when a potential difference of 135v is applied across itl
Answer:
593 mAmps
Explanation:
Power = 80 watts = VI
80 = 135 I
80/135 = I =
friction causes kinetic energy to be converted into
A. Potential energy
B. Thermal energy
C.mechanical energy
D. Electrical energy
Which one is it pls help me
Answer:
Thermal Energy
Explanation:
When friction acts between two surfaces that are moving over each other, some kinetic energy is transformed into heat energy. Otherwise known as thermal energy.
Which planet, other than earth, has visible water ice on it?.
a 20-kg object travelling at 20 m/s collides head on with an 18-kg object travelling at 17 m/s.If they were locked together after the collision, what is their velocity?.
Answer:
2.47 m/s
Explanation:
Momentum = Mass X Velocity
If they were locked together, it means its a perfectly inelastic collision. Therefore,
Total momentum before = Total momentum after
Total momentum before = (20 X 20) - (18 X 17)
= 94
Total momentum after = 94
Y = Object speed after collision
94 = (20+18)Y
Y = 2.47368421 m/s
A particle moves in the xy plane in a circle centered on the origin. at a certain instant the velocity and acceleration of the particle are 6. 0 m/s and (3. 0 + 4. 0) m/s2. what are the x and y coordinates of the particle at this moment?
The x and y coordinates of the particle at this moment is (6x + 4.5y) m.
Position of the particleThe position of the particle at any instant is determined from the velocity and acceleration of the particle as shown below.
v² = u² + 2as
where;
v is the final velocity of the particleu is the initial velocitya is the acceleration of the particles is the position of the particlev² = 0 + 2as
v² = 2as
s = v²/2a
X and y - coordinates of the particle[tex]s_x = \frac{v^2}{2a_x} = \frac{6^2}{2(3)} = 6\ m\\\\s_y = \frac{v^2}{2a_y} = \frac{6^2}{2(4)} = 4.5 \ m\\\\s = (6 x \ + 4.5y)m[/tex]
Thus, the x and y coordinates of the particle at this moment is (6x + 4.5y) m.
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why do we see optical illusion?
Optical illusions occur because our brain is trying to interpret what we see and make sense of the world around us. Optical illusions simply trick our brains into seeing things which may or may not be real.
Delusions of grandeur is the false belief that __________. a. one is being manipulated b. emphasizes self-importance c. emphasizes self-manipulation d. one is being harassed
The delusion of grandeur is a false belief that emphasizes self-importance. Option b is correct.
What are delusions?Delusions are characterized as persistent, erroneous beliefs that contradict reality. A person in a delusional condition is unable to let go of their convictions, despite opposing facts.
Misinterpretation of circumstances frequently reinforces delusions. Many illusions are accompanied by some degree of paranoia.
One of the most prevalent is delusions of grandeur. It's when you imagine you have more power, riches, intelligence, or other great qualities than you actually do.
The delusion of grandeur is a false belief that emphasizes self-importance.
Hence option b is correct.
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Answer:
B. emphasizes self-importance
Explanation:
got it right on edge 2022
a material used by living things for growth and other life functions is a?
Answer:
I believe it wouled be Nutrients
Explanation:
hope this helps if not please let me know
If our planet was twice as far away how would the Earth’s orbit change?
Answer:
One of the indirect proofs that orbits change is actually in the growth of our own teeth when we were children. our teeth are some of the most basic, and primitive
parts of our bodies. They grow on a 9 day cycle, which was an ancient full moon to full moon cycle when the Earth and the Moon were a lot smaller, and closer together, and the co-orbital period was only 9 days, not the 29.5 days that it is currently.
So Given any two " Planets " that co-orbit a common gravitational center, the larger planet will grow larger far faster than the smaller planet, and the larger planet will accelerate the smaller planet to a higher orbit with a longer period, and decelerate itself to a lower orbit with a longer period, and the absolute value of the center to center distance will increase, and the orbital period will increase. The two orbs and their common gravitational center will remain co-linear through out the gradual growing and changing process.
This is an important process for the enlargement of the solar system as time passes, and an important process for larger galaxies as they attract and merge with smaller galaxies.
All of the planets grow larger at an accelerating rate, and thus systems spiral outward concentrating mass into larger and fewer galaxies, solar systems, and planet - moon systems.
How much heat does it take to melt a 0.234 kg ice cube at its melting point?
Answer:
Q = M kg* 3.33E5 J / kg = .234 * 3.33E5 = 7.79E4 Joules
As a check (using 80 cal/gm as latent heat of fusion for water)
234 g * 80 cal/gm = 18720 cal
1 cal = 4.19 J
18720 cal * 4.19 J / cal = 7.7E4 J agrees with value found above
If the same object was taken to each of the planets, where would it weigh the most and where would it weigh the least
Answer:
it way the most on jupiter and the least on mars
Explanation:
use convention factors to convert
20kHz to Hz
Answer:
20kHz = 20000Hz
Explanation:
The frequency in hertz (Hz) is equal to the frequency in kilohertz (kHz) times 1000
What is the volume of one rubber ball? round to the nearest hundredth of a centimeter. cm3 if the price of the rubber needed to produce a ball is $0.0045/cm3, what is the cost of producing one ball? round to the nearest cent. $ if the company sells a ball for $0.50, how much profit will it make on each ball? $
The volume of one rubber ball and the cost of producing one ball and the profit will it make on each ball will be 20.58 cm³, $0.09261, and $0.40739 respectively.
What exactly is geometry?It is concerned with the geometry, region, and density of various 2D and 3D shapes.
The given data in the problem is;
r is the Rubber balls = 1.7 cm
V is the volume
C is the cost of production
P is the profit
The volume of the rubber ball is found as;
[tex]\rm v= \frac{4}{3} \pi r^3 \\\\ \rm v= \frac{4}{3} \times 3.14 (4.913)^3 \\\\ \rm v= 20.58 cm^3[/tex]
If the price of the rubber required to make a ball is $0.0045/cm3, the ball's production cost will be $0.0045/cm3.
The cost of a ball is the multiplication of the cost of one ball and the selling price of the ball;
C = 0.0045 x 20.58
C = $0.09261
P is the profit gained and profit is the subtraction of the selling price and cost price.
P = S.P.-C.P.
P=0.5 - 0.09261
P = $0.40739
Hence the volume of one rubber ball and the cost of producing one ball and the profit will it make on each ball will be 20.58 cm³, $0.09261, and $0.40739 respectively.
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Answer:
1: C
2: C
3: A
Explanation: just did it
Hello people ~
Question: A hemisphere is uniformely charged positively. The electric field a point on a diameter away from the centre is directed
(a) perpendicular to the diameter
(b) parallel to the diameter
(c) at an angle tilted towards the diameter
(d) at an angle tilted away from the diameter
As the electric field is present at a point on diameter the electric field intensity at the electric field components are parallel to the diameter hence they cancel out .
So the field is directed perpendicular towards the diameter
Option A
As an ambulance siren passes and moves away from you, the sound waves'
frequency __________
and their amplitude ________
A. increases,
decreases
B. increases,
increases
C. decreases,
increases
D. decreases,
decreases
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Amplitude and frequency are two properties of sound waves that decreases as distance from source decrease.
Therefore, as the ambulance moves away,
frequency - decreasesamplitude - decreasesSo, correct choice is D
Which types of electromagnetic waves have longer wavelengths than the waves that make up visible light? select three options. radio waves gamma rays microwaves infrared light ultraviolet light x-rays
Answer:
infrared light have longe rwave length
The three electromegnetic waves that have longer wavelengths that make up visible light will be microwaves, radio waves, and infrared light.
What is an electromagnetic wave?
EM waves are another name for electromagnetic waves. Electromagnetic radiations are made up of electromagnetic waves created when an electric field collides with a magnetic field.
Electromagnetic waves may alternatively be defined as the combination of oscillating electric and magnetic fields. Maxwell's equations are solutions to electromagnetic waves.
Of all electromagnetic waves, radio waves have the longest wavelength.
Hence the three electromegnetic waves that have longer wavelengths that make up visible light will be microwaves, radio waves, and infrared light.
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You need to move a large refrigerator. It has a mass of 300 kg. You want to accelerate it at a rate of 3 m/s/s. What force must you apply?
Answer:
900 N
Explanation:
F = ma
= 300 (3) = 900 N
Why is the ‘dark side’ of the moon a misnomer?
Answer:
For starters, “dark side” is a misnomer. The far side may be constantly facing away from Earth, but as it orbits the Earth it sometimes faces the sun just as the bright side does. Thus the far side is subject to the same day/night temperature extremes as the side facing Earth.
Explanation:
Question #3:
A sample of helium behaves as an ideal gas as it is heated at constant pressure from 293 K to 363 K. If 70 J of work is done by the gas during this process, what is the mass of the helium sample? The universal gas constant is 8.31451 J/mol · K. Answer in units of g.
For a sample of helium behaves as an ideal gas as it is heated at constant pressure from 293 K to 363 K, the mass of the helium sample is mathematically given as
n= 0.0986 g
What is the mass of the helium sample?Generally, the equation for the ideal gas is mathematically given as
PV=nRT
Therefore
W = P*(V2-V1)
W=nR(T2- T1)
n = W / (R*(T2 - T1) )
n= 4g/mol ∙ 16 J / (8.3145J/molK ∙ (351K - 273K) )
n= 0.0986 g
In conclusion, the mass of the helium sample
n= 0.0986 g
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What happens when a mixture is separated
A) A substance is lost
B) A new substance is formed
C) The substances stay the same
D) The mass of the substances change
Answer:
the answer would be c
Explanation:
Water vapor is an important greenhouse gas in Earth's atmosphere. The map here shows the average amount of water vapor in a column of atmosphere during one month in 2015.
Based on the data in the map where would you expect temperatures on Earth to be warmest?
• At higher altitudes
• Over the poles
• At the equator.
• Over landmasses
Answer:
The answer in C- At the equator
Explanation:
just took the test and got it correct
Based on the data in the map, the temperatures on Earth to be warmest will be at equator. The third option is correct.
What is greenhouse gas?The gases which get easily trapped inside the glasses and increase the temperature of the atmosphere causing the global warming level to increase overall.
Water vapor is an important greenhouse gas in Earth's atmosphere. The map here shows the average amount of water vapor in a column of atmosphere during one month in 2015.
Based on the data in the map, the temperatures on Earth to be warmest will be at equator.
Thus, third option is correct.
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An electron (me = 9.1 x 10-31 kg) traveling south at a constant speed of 5.0 x 106 m/s enters a
region where the downward component of earth's magnetic field is 3.5 x 10-5 T. What is the
magnitude and direction of the acceleration of the electron at this instant?
Answer:
F = Q V X B
V X B = south X downard = East - deflection is West
Since Q is negative the deflection = West
a = F / m = Q V B / m
a = 1.6E-19 * 5*E6 * 3.5E-5 / 9.1E-31
a = 1.6 * 5 * 3.5 / 9.1 * 10^13 m/s^2 = 3.1 * 10^13 m/s^2
A spaceship moves at a constant velocity of 0.400c relative to an Earth observer. The pilot of the spaceship is holding a rod, which he measures to be 1.00 m long. The rod is held perpendicular to the direction of motion of the spaceship. How long is the rod according to the Earth observer
Since the rod is held perpendicular to the direction of motion of the spaceship, the rod is 1.00 m long to an Earth observer.
To answer the question, we use the principle of length contraction in relativity.
What is Length contraction?The principle of length contraction states that the length of an object would only contraction when it is in the direction of motion.
So, since the 1.00 m long rod is in the spaceship is held perpendicular to the direction of motion of the spaceship, there is no length contraction and thus, an observer on the Earth measures the same length of 1.00 m.
So, Since the rod is held perpendicular to the direction of motion of the spaceship, the rod is 1.00 m long to an Earth observer.
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When 20. joules of work are done in 4.0 seconds; what is the power developed?
A. 0.20 watt
B. 5.0 watts
C. 16 watts
D. 80. watts
the power developed when, 20 joules of work are done in 4.0 second.
solution:power= workdone/ time
here workdone= 20 joules
time taken= 4.0s
so putting these values in the above formula, we get:
power= 20/4.0
=5.0 watts
answer= option b) 5.0 watts
[tex]\bold\blue{Formula : }[/tex]
[tex]\bold{Power = \frac{energy}{time} }[/tex]
[tex]\bold\blue{Given : }[/tex]
Joules of work = 20 work are done = 4.0 seconds[tex]\bold\blue{ Solution : }[/tex]
[tex]\bold{Power = \frac{energy}{time} }[/tex]
[tex]\bold{Power = \frac{20}{4.0} }[/tex]
[tex] \bold{ Power = 5.0}[/tex]
So , B.) 5.0 watts is answer .
A golf club exerts an average force of 500N on a 0.1kg golf ball and the contact time is 0.01s.
What is the change in velocity of the golf ball?
Answer:
[tex]50\; {\rm m\cdot s^{-1}}[/tex], assuming that the force on the golf ball was constant.
Explanation:
Assume that the force the golf club exerted on the golf ball a constant force of magnitude [tex]F[/tex]. Let [tex]\Delta t[/tex] denote the duration the club was in contact with the golf ball. The impulse of this force would be:
[tex]J = F\, \Delta t[/tex].
Let [tex]\Delta p[/tex] denote the change in the momentum of this golf ball. By the impulse-momentum theorem, this [tex]\Delta p\![/tex] would be equal to the impulse on the golf ball.
[tex]\Delta p = J = F\, \Delta t[/tex].
The momentum [tex]p[/tex] of this golf ball is the scalar product between the mass [tex]m[/tex] of this golf ball and the velocity [tex]v[/tex] of this golf ball. The mass of this golf ball stays the same. Thus, when the momentum of this golf ball changes by [tex]\Delta p[/tex], the velocity of this golf ball would change by [tex](\Delta p) / (m)[/tex].
The change in the velocity of this golf ball would thus be:
[tex]\begin{aligned}\Delta v &= \frac{\Delta p}{m} & \genfrac{}{}{0em}{}{(\text{change in momentum})}{}\\ &= \frac{J}{m} & \genfrac{}{}{0em}{}{(\text{impulse on the golf ball})}{}\\ &= \frac{F\, \Delta t}{m} \\ &= \frac{500\; {\rm N} \times 0.01\; {\rm s}}{0.1\; {\rm kg}} \\ &\approx 50\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
(Note that [tex]1\; {\rm N} = 1\; {\rm kg \cdot m^{2}\cdot s^{-2}}[/tex].)