Answer:
Explanation:
Moment of inertia of the turntable I = 1/2 m R²
= 0.5 x 32 x 2.4²
= 92.16 kg m²
Moment of inertia of the turntable along with clamp of clay
= 1 /2 M R² + m r² where M and m are mass of turntable and clump of clay and R is radius of turntable , r is distance of clay from the axis of rotation .
= 0.5 x 32 x 2.4² + 13 x 1.7²
= 92.16 kg m² + 37.57 kg m²
= 129.73 kg m².
Apply law of conservation of angular momentum
I₁ ω₁ =I₂ω₂
I₁ =92.16 kg m² ω₁ = 10 rad/s I₂ = 129.73 kg m²; ω₂ = ?
92.16 kg m² x 10 rad/s = 129.73 kg m² x ω₂
ω₂ = 7.10 rad /s .
the angular speed of the clay and turntable = 7.10 rad /s .
Question 3 of 5 What happens to the particles in a substance as it melts? O A. The particles slow down and become fixed in place. B. The particles move more quickly but stay fixed in place. O C. The particles slow down and move closer together, but they can still move around. O D. The particles move more quickly and begin to move from place to place. SUBMIT
Answer:
D. The particles move more quickly and begin to move from place to place.
Explanation:
An 80 kg astronaut has gone outside his space capsule to do some repair work. Unfortunately, he forgot to lock his safety tether in place, and he has drifted 5.0 m away from the capsule. Fortunately, he has a 1000 W portable laser with fresh batteries that will operate it for 1.0 h. His only chance is to accelerate himself toward the space capsule by firing the laser in the opposite direction. He has a 10-h supply of oxygen. His only chance is to accelerate himself toward the space capsule by firing the laser in the opposite direction. He has a 10-h supply of oxygen.
Required:
How long will it take him to reach safety?
Answer:
t = 3.924 s
Explanation:
First, we will calculate the amount of work required to get the astronaut back to the capsule:
[tex]W = Fd\\[/tex]
where,
W = work required = ?
F = Force = Weight = mg = (80 kg)(9.81\ m/s²) = 784.8 N
d = distance = 5 m
Therefore,
[tex]W = (784.8\ N)(5\ m)\\W = 3924 J[/tex]
Now the time can be calculated as:
[tex]Power = \frac{W}{t}\\t = \frac{W}{Power}\\\\t = \frac{3924\ J}{1000\ W}\\\\[/tex]
t = 3.924 s
a 4 kg block is moving at 12 m/s on a horizontal frictionless surface. a constant force is applied such that the block slows with an acceleration of 3 m/s^2. how much work must this force do to stop the block?
a. -576 J
b. -360 J
c. -288 J
d. 360 J
e. 576 J
Answer:
c. -288 J
Explanation:
Given;
mass of the block, m = 4 kg
velocity of the block, v = 12 m/s
deceleration of the block, a = 3 m/s²
Apply work-energy theorem;
work done in stopping the block = kinetic energy of the block
W = ¹/₂mv²
where;
W is the magnitude of the work done by the force
W = ¹/₂ x 4 x 12²
W = 288 J
Since the work done by the force is in opposite direction, then the value of the work done by the force is -288 J
26. Acceleration Tecle, with a mass of 65.0 kg, is
standing on an ice-skating rink. His friend
applies a force of 9.0 N to him. What is Tecle's
resulting acceleration?
Force = mass × acceleration
9 = 65 x acceleration
acceleration= 9/65 = 0.318 m/s2
Acceleration Tecle, with a mass of 65.0 kg, is standing on an ice-skating rink. His friend applies a force of 9.0 N to him. Tecle's resulting acceleration is 0.318 m/s²
What is acceleration?The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is acceleration.
The net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity whose strength or magnitude is determined by the norm and whose direction correlates with a plumb bob.
Force = mass × acceleration
9 = 65 x acceleration
acceleration= 9/65 = 0.318 m/s²
Acceleration Tecle, with a mass of 65.0 kg, is standing on an ice-skating rink. His friend applies a force of 9.0 N to him. Tecle's resulting acceleration is 0.318 m/s²
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A convex lens has a focal length of 0.33 m. The object distance is 0.7 m. What is the image distance?
Answer:
Explanation:
1/v - 1/u = 1/f
given, f = 0.3 m, u = -0.4m
so, 1/v - 1/-0.4 = 1/0.3
or, 1/v = 1/0.3 - 1/0.4 = 1/1.2
v = 1.2 m
now, differentiating 1/v - 1/u = 1/f with respect to t,
-1/v² dv/dt + 1/u² du/dt = 0
or, dv/dt = (v/u)² du/dt
putting, du/dt = 0.01 m/s , v = 1.2 m and u = -0.4 m
so, dv/dt = (1.2/-0.4)² × 0.01
= 0.09 m/s
hence, speed of image with respect to lens is 0.09 m/s .
from formula of magnification
magnification, m = v/u
differentiating with respect to time both sides,
dm/dt = (u dv/dt - vdu/dt)/u²
= (-0.4 × 0.09 - 1.2 × 0.01)/(-0.4)²
= (-0.036 - 0.012)/0.16
= -0.048/0.16
= -0.3 m/s
hence, magnitude of rate of change of lateral magnification is 0.3 m/s
Two blocks travel along a level frictionless surface. Block A is initially moving to the right, while block B is initially at rest. The mass of block A is greater than the mass of block B. The positive x-direction is to the right. The magnitude of the change in momentum of block A is ______ the magnitude of the change in momentum of block B.
Answer:
Explanation:
The magnitude of the change in momentum of block A is equal and opposite the magnitude of the change in momentum of block B.
According to law of conservation of momentum , there should not be any change in the momentum in the system .The system consists of A and B . So if some change in momentum has occurred in A , the other must have equal and opposite change in momentum so that they get cancel out and net change in momentum of system is zero.
Aluminum has an alpha value of 25 x 10^-6 1/degrees C. What is the change in
length of a 4850 cm wire at 2 degrees C when the temp increase to 55 degrees
C?
Answer:
6.4 cm.
Explanation:
From the question given above, the following data were obtained:
Coefficient of linear expansion (α) = 25×10¯⁶ / °C
Original length (L) = 4850 cm
Initial temperature (T₁) = 2 °C
Final temperature (T₂) = 55 °C
Change in length (ΔL) =?
The change in the length of the wire can be obtained as follow:
α = ΔL / L(T₂ – T₁)
25×10¯⁶ = ΔL / 4850(55 – 2)
25×10¯⁶ = ΔL / 4850 × 53
25×10¯⁶ = ΔL / 257050
Cross multiply
ΔL = 25×10¯⁶ × 257050
ΔL = 6.4 cm
Therefore, the change in the length of the wire is 6.4 cm
Claire pushes a box to the left while Jamie pushes the same box to the right. The box stays in
between them in the same position.
Which best explains why Claire and Jamie are unable to move the box?
A. They are applying an unbalanced force.
B. They are applying a balanced force.
C. They are applying gravity.
D. They are applying friction.
Sunlight is composed of wavelengths of light that make up part of the electromagnetic spectrum. Towson University Exam Question. The frequency of a wave is directly proportional to the speed at which the wave is traveling. Do NOT Copy! Calculate the frequency (in Hz) of light at the following wavelength:
Answer:
[tex]f= 5.11 * 10^{10}Hz[/tex]
Explanation:
Given
[tex]\lambda = 0.587cm[/tex]
See comment for complete question
Required
Calculate the frequency
Frequency is calculated using:
[tex]f = \frac{c}{\lambda}[/tex]
Where
[tex]c \to[/tex] speed of light
[tex]c =299792458 ms^{-1}[/tex]
[tex]\lambda = 0.587cm[/tex]
Convert wave length to meters
[tex]\lambda = 0.587 * 0.01m[/tex]
[tex]\lambda = 0.00587m[/tex]
So, we have:
[tex]f = \frac{c}{\lambda}[/tex]
[tex]f=\frac{299792458 ms^{-1}}{0.00587m}[/tex]
[tex]f=\frac{299792458}{0.00587}Hz[/tex]
[tex]f= 5.11 * 10^{10}Hz[/tex]
A 4500-kg helicopter accelerates upward at 2.0m/s2 what lift force is exerted by the air on the
helicopter?
Answer:
9000
Explanation:
f=ma
f= force
m=mass
a=acceleration
f=ma
4500×2.0
9000N
If 03.4 kg of water at 69°C is changed into steam at 100°C, how will the energy be used? specific heat capacity of water is 4200J/kg C and latent heat is 2,260 000J/Kg.
A. 7864513 J
B. 8126680 J
C. 329758 J
D. 742976 J
With explanation please
Answer:
The answer is B.
Explanation:
مافيني اشرح
Phase portraits (or phase diagrams) provide a powerful tool to visualize the dynamics of ODE systems.
a. True
b. False
20/05/2021
BP102T
- Which one of the following statements about reaction rate is false?
3253505030
Reaction rates are not sensitive to temperature.
Reaction rate is governed by the energy barrier between reactants and products.
Reaction rate is the speed at which the reaction proceeds.
Enzymes can accelerate the rate of a reaction.
Answer:
Reaction rate are not sensitive to temperature.
how many moles in 3.4x10^24 atoms calcium chloride
You drop a 10 kg bowling ball off a 2 story building, what is the force generated by
the bowling ball when it hits the ground
Answer:i
Explanation:
If the frequency of a wave is doubled, what happens to that waves energy
Answer:
If the frequency of a wave is doubled, what happens to its wavelength? If the frequency is doubled, the wavelength is only half as long. 3. ... As the frequency slows down, the wavelength increases.
Explanation:
How are radar and an approaching siren alike? How are they different?
A. Both use sound waves, but the Doppler effect can be observed
only with radar.
B. Both use sound waves, but the Doppler effect can be observed
only in the approaching siren.
C. Both exhibit the Doppler effect, but radar uses radio, and the siren
'uses sound waves.
D. Both exhibit the Doppler effect, but radar uses sound waves, and
the siren uses radio.
Answer: D
Explanation: I just took the test
Answer: Both exhibit the Doppler effect, but radar uses radio, and the siren' uses sound waves.
Explanation: I took the test
how much thermal energy is created when a 3000 kg suv brakes to a stop from 20 m/s on a level road?
a. 1,200,000 J
b. 600,000 J
c. 60,000 J
d. 30,000 J
e. 90,000,000 J
Answer:
b. 600,000 J
Explanation:
Applying the law of conservation of energy,
The thermal energy created = Kinetic energy of the suv.
Q' = 1/2(mv²)............... Equation 1
Where Q' = Thermal energy, m = mass of the suv, v = velocity of the suv.
From the question,
Given: m = 3000 kg, v = 20 m/s
Substitute these values into equation 1
Q' = 1/2(3000×20²)
Q' = 600000 J
Hence the right option is b. 600,000 J
Which of these devices is a type of aerobic exercise machine?
Answer:
Aerobic exercise is an important component of a healthy lifestyle. Find out more about aerobic equipment that can help keep you fit.
Aerobic equipment simulates the movements of aerobic exercises such as walking, jogging, rowing, skiing, hiking, biking, and climbing. These activities rhythmically and continuously move your large muscles — the key to getting your heart beating fast enough and long enough for aerobic conditioning.
Describe the environment of Antarctica.
Answer:
Antarctica is a desert. It does not rain or snow a lot there. When it snows, the snow does not melt and builds up over many years to make large, thick sheets of ice, called ice sheets. Antarctica is made up of lots of ice in the form of glaciers, ice shelves and icebergs.
The frequency and wavelength of EM waves can vary over a wide range of values. Scientists refer to the full range of frequencies that EM radiation can have as the electromagnetic spectrum.
Electromagnetic waves are used extensively in modern technology. Many devices are built to emit and/or receive EM waves at a very specific frequency, or within a narrow band of frequencies. Here are some examples followed by their frequencies of operation:
garage door openers: 40.0 MHz,
standard cordless phones: 40.0 to 50.0 MHz,
baby monitors: 49.0 MHz,
FM radio stations: 88.0 to 108 MHz,
cell phones: 800 to 900 MHz,
Global Positioning System: 1227 to 1575 MHz,
microwave ovens: 2450 MHz,
wireless Internet technology: 2.4 to 2.6 GHz.
Solution :
All of these technologies uses the technologies of radio waves, including the low [tex]$\text{frequency}$[/tex] microwaves.
The microwave ovens emits in the same frequency band as that some [tex]$\text{wireless}$[/tex] Internet devices.
[tex]$\text{The radiation}$[/tex] that is emitted by the wireless Internet devices having the [tex]$\text{shortest wavelength}$[/tex] of all the technologies are listed.
All these technologies emits waves with a wavelength in the range [tex]$0.10 \ m$[/tex] to [tex]$10 \ m$[/tex].
The [tex]$\text{earth absorbs}$[/tex] the visible light and also [tex]$\text{emits radiation }$[/tex] with a longer [tex]$\text{wavelength}$[/tex]. The earth then absorbs [tex]$\text{visible light}$[/tex] as well as emits the [tex]$\text{radiation}$[/tex] with a [tex]$\text{lower frequency}$[/tex].
Compare the relative strengths of the nuclear force and the electric force
Answer:
To establish this relationship we must examine the potentials that these forces create. The electrical potential is described by
Ve = k q / r
The potential for strong nuclear force is
Vn (r) = - gs / 4pir exp (-mrc / h)
Where gs is the stacking constant and r the distance between the nucleons,
We can compare these potentials where the force is derived from the relationship
E = -dU / dr
F = q E
Explanation:
You have two electrical devices plugged into the same socket in parallel and draws 120 V. The first device has a resistance of 20 Ω the other device has a resistance of 10 Ω.
What is the total resistance?
The devices don't "draw" 120v. The 120v comes to your house from the power company. They decide it should be 120v and that's what they send you. It's hypothetically technically possible for you to change that, but if you try it, you'll definitely burn the house down.
The total resistance of those two devices in parallel is 6 and 2/3 ohms. That doesn't depend on what they're plugged into. It would still be 6 and 2/3 ohms if they were connected in parallel, wrapped in tissue, sealed in a jar of chicken soup and stored in a box on a high shelf.
But since they ARE plugged into 120v, they draw 18 Amperes from the socket, and they turn all of that electrical energy into 2160 watts of heat. That's about the same as a good size toaster oven, and you have to figure out a way to get rid of all that heat before you burn the house down.
After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 48.0 cm . The explorer finds that the pendulum completes 93.0 full swing cycles in a time of 141 s.
Required:
What is the value of g on this planet?
Answer:
8.24 m/s²
Explanation:
Applying,
T = 2π√(L/g).................... Equation 1
Where T = period of the pendulum, L = Length of the pendulum, g = acceleration due to gravity of the planet, π = pi
From the question, we were asked to find the value of g,
There we make g the subject of the equation
g = 4π²L/T²..................... Equation 2
Given: L= 48 cm = 0.48 m, T = (141/93) s = 1.516 s
Constant: π = 3.14
Substitute these values into equation 2
g = 4(3.14²)(0.48)/(1.516²)
g = 18.93/2.298
g = 8.24 m/s².
Hence the acceleration of the planet is 8.24 m/s²
which choice displays the effects of quantum mechanics? check all that apply
atoms
subatomic particles
particles that are 10^-9m
microtechnology systems
protons
neutrons
particles that are 10^-3m
Answer:
A,B,C,D,F,G
Explanation:
Edge 2021
The atoms, subatomic particles, particles that are 10^-9m, microtechnology systems, neutrons and particles that are 10^-3m will displays the effects of quantum mechanics.
What is Quantum Mechanics?Quantum Mechanics is the branch of mechanics deals with the mathematical description of the motion and interaction of subatomic particles, incorporating the concepts of quantization of energy, wave–particle duality, the uncertainty principle, and the correspondence principle is Quantum Mechanics.
It is theory says at subatomic level, energy exists in discrete levels as "quanta" and particles behave as waves.
A Subatomic particles are the particle that are present inside an atom. These particles are electrons, protons, and neutrons.
Thus, atoms, subatomic particles, particles that are 10^-9m, microtechnology systems, neutrons and particles that are 10^-3m will displays the effects of quantum mechanics.
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Plz help The momentum of a baseball changes dramatically when struck by a bat.Momentum of the ball is not conserved. The best explanation for this is that
Answer:
The answer is C the ball is not in a closed system and experience an impulse.
Explanation:
what is made by placing a piece of iron inside a coil of wire carrying a current
Answer:
electromagnet
Explanation:
Magnet
.....
What’s the net force of a box with 60n left and 20n right
Answer and Explanation:
There would be a net force of 40n going left, because 20n going right would cancel out the 20n in the 60n going left, making 40n go left.
#teamtrees #PAW (Plant And Water)
a student standing in an elevator at rest notices that her pendulum has a frequency of oscillation of 0.5 Hz. a. what is the length of the pendulum's string? b. the elevator starts to accelerate upwards. what effect will this have on the oscillation? explain.
Explanation:
Given that,
The frequency of oscillation, f = 0.5 Hz
(a) Let the length of the pendulum string is l. So,
[tex]T=2\pi \sqrt{\dfrac{l}{g}}[/tex]
T is time period, T = 1/f
So,
[tex]l=\dfrac{(\dfrac{1}{f})^2g}{4\pi ^2}\\\\l=\dfrac{(\dfrac{1}{0.5})^2\times 9.8}{4\times 3.14 ^2}\\\\l=0.993\ m[/tex]
(b) When the elevator starts to accelerate upwards, new acceleration is a+g. If accelerating upward, the value of g has increased, because of inertia. So it will feel heavier and the period will decrease.
Calculate the magnetic field at point P in the image below.
Answer:
B. 10.08
C.2448
Explanation: