Answer:
the angular speed in rad/s is 3.45
Explanation:
The computation of the angular speed in rad/s is as follows:
As we know that
1 rpm means 1 revolution per minute
Also 1 minute = 60 seconds
SO, for 33 rpm, the angular speed is
= 33 ÷ 60 × 2π
= 3.45 rad/s
As the revolution is of 360 degrees i.e. equivalent to 2π
Hence, the angular speed in rad/s is 3.45
a 500g model rocket with a weight of 4.90 N is launched straight up. The small rocket burns for 5s and has a steady thrust of 20N. What maximum altitude does the rocket reach
Answer:
The maximum height reached by the rocket at the given time is 377.5 m.
Explanation:
Given;
mass of the rocket, m = 500 g = 0.5 kg
weight of the rocket, W = 4.9 N
Applied force or thrust of the rocket, F = 20 N
time of the rocket motion, t = 5 s
Apply Newton's second law of motion;
Applied force = Weight of the rock + Upward force of the rocket
F = W + ma
where;
a is the upward acceleration of the rock
[tex]a = \frac{F-W}{m} \\\\a = \frac{20 - 4.9}{0.5} \\\\a = 30.2 \ m/s^2[/tex]
The maximum height reached by the rock during the given time is calculated as;
h = ut + ¹/₂at²
h = 0 + ¹/₂at²
h = ¹/₂at²
h = ¹/₂ (30.2)(5)²
h = 377.5 m
Therefore, the maximum height reached by the rocket at the given time is 377.5 m.
1. An impulse is a force acting over some amount of time to cause a change in momentum. On the other hand, work is a ______________ acting over some amount of ___________________ to cause a change in __________________.
Answer:
Force, distance, energy
Explanation:
An impulse is a force acting over some amount of time to cause a change in momentum. On the other hand, work is a a force acting over some amount of distance to cause a change in energy
An impulse is a force acting over some amount of time to cause a change in momentum. On the other hand, work is a a force acting over some amount of distance to cause a change in kinetic energy."
The given problem is based on the concept of impulse and the work done. As per the impulse momentum theorem, when some magnitude of force is applied on an object for a small interval of time, then it will cause some momentum change.
That is,
[tex]F \times t = \Delta P[/tex]
here, F is the applied force.
And as per the concept of work energy theorem, "the work done by the applied force to cause the displacement of an object is equivalent to the change in the kinetic energy of object.
That is,
[tex]W = \Delta KE\\F \times d=\Delta KE[/tex]
here, F is the applied force and d is the distance moved by object.
Thus, we can conclude that the complete paragraph is,
"An impulse is a force acting over some amount of time to cause a change in momentum. On the other hand, work is a a force acting over some amount of distance to cause a change in kinetic energy."
Learn more about the work energy theorem here:
https://brainly.com/question/24509770
An ion has 8 protons and 10 electrons. What is the total charge? *
+2
-2
+18
-18
+8
-10
A diode laser emits a wavelength of 987 nm. All of its output energy is absorbed in a detector that measures a total energy of 0.52 J over a period of 32 s. How many photons per second are being emitted by the laser?
Answer:
8.04 × 10¹⁶ photons per second
Explanation:
First, we calculate the energy per photon from E = hc/λ where h = Planck's constant = 6.63 × 10⁻³⁴ Js c = speed of light = 3 × 10⁸ m/s and λ = wavelength of laser = 987 nm = 987 × 10⁻⁹ m = 9.87 × 10⁻⁷ m
So, E = hc/λ = 6.63 × 10⁻³⁴ Js × 3 × 10⁸ m/s/9.87 × 10⁻⁷ m = 19.89/9.87 × 10⁻¹⁹ J = 2.02 × 10⁻¹⁹ J per photon.
Since we have a total of 0.52 J over a period of 32 s, the output power is 0.52 J/32 s = 0.0163 J/s.
Thus the total number of photons per second is thus in output power/energy per photon = 0.0163 J/s ÷ 2.02 × 10⁻¹⁹ J per photon
= 8.04 × 10¹⁶ photons per second
An automobile has a mass of 1500 kg. What is the minimum uncertainty in the velocity (in miles per hour) when its center of mass is located with an uncertainty no greater than 1 cm
Answer:
[tex]\triangle v=1.57*10^-^3^5miles/hour[/tex]
Explanation:
From the question we are told that
Mass of of automobile M= 1500 kg
Generally the equation of the uncertainty principle is given by
[tex]\triangle p=\frac{h}{ \triangle x}[/tex]
[tex]\triangle p=\frac{1.054*10^-^3^4}{ 10^-^2}[/tex]
[tex]\triangle p=1.054*10^-^3^2[/tex]
Generally the uncertainty in velocity is mathematically given by
[tex]\triangle v=\frac{\traingle p}{m}[/tex]
[tex]\triangle v=\frac{1.054*10^-^3^2}{1500}[/tex]
[tex]\triangle v=7*10^-^3^6m/s[/tex]
Therefore the minimum uncertainty in the velocity (in miles per hour)
[tex]\triangle v=7*10^-^3^6*\frac{3600}{1609.3}[/tex]
[tex]\triangle v=1.57*10^-^3^5miles/hour[/tex]
What kind of injury would most likely come from an unfortunate slide into home in a baseball game?
erosion
macule
crust
bullae
It is not possible to convert work entirely into heat. It is impossible to transfer heat from a cooler to a hotter body. The second law of thermodynamics is a consequence of the first law of thermodynamics. It is possible for heat to flow spontaneously from a hot body to a cold one or from a cold one to a hot one, depending on whether or not the process is reversible or irreversible. All of these statements are false.
Complete Question:
Which one of the following is a
true statement?
Group of answer choices.
A) The second law of thermodynamics is a consequence of the first law of thermodynamics.
B) It is possible for heat to flow spontaneously from a hot body to a cold one or from a cold one
to a hot one, depending on whether or not the process is reversible or irreversible.
C) It is not possible to convert work entirely into heat.
D) It is impossible to transfer heat from a cooler to a hotter body.
E) All of these statements are false.
Answer:
E) All of these statements are false.
Explanation:
All of the following statements are false;
I. The second law of thermodynamics is a consequence of the first law of thermodynamics. The second law of thermodynamics is about a physical quantity known as entropy while the first law of thermodynamics states that energy cannot be created or destroyed but can only be transformed from one form to another.
II. It is possible for heat to flow spontaneously from a hot body to a cold one or from a cold one
to a hot one, depending on whether or not the process is reversible or irreversible. According to the second law of thermodynamics this is false due to the entropy.
III. It is not possible to convert work entirely into heat. It is possible to completely convert work into heat because it involves transferring energy.
IV. It is impossible to transfer heat from a cooler to a hotter body.
If you Blow up a balloon, will the composition of Air inside the balloon changes? Why? Why not?
Answer:
it change by the pressure of the air and how its pulling the elastic even more
Explanation:
therefore it changes shape and has more differences than before sometimes the colour of it will go lighter if a lot of air and darker if not a lot
An object with velocity 141 ft/s has a kinetic energy of 1558.71 ft∙lbf, on a planet whose gravity is 31.5 ft/s2. What is its mass in pounds
Answer:
The mass of the object is 5.045 lbm.
Explanation:
Given;
kinetic energy of the object, K.E = 1558.71 ft.lbf
velocity of the object, V = 141 ft/s
The kinetic energy of the object is calculated as;
[tex]K.E = \frac{1}{2} mV^2\\\\mV^2 = 2K.E\\\\m = \frac{2K.E}{V^2} \\\\1 \ lbf = 32.174 \ lbm.ft/s^2\\\\m = \frac{2 \ \times \ 1558.71 \ ft.lbf \ \times \ 32.174 \ lbm.ft/s^2 }{(141 \ ft/s)2 \ \ \times \ \ \ \ 1 \ lbf\ }[/tex]
[tex]m = \frac{(2 \ \times \ 1558.71 \ \times \ 32.174) \ lbm.ft^2/s^2 }{(141 )^2\ ft^2/s^2 }\\\\m = \frac{(2 \ \times \ 1558.71 \ \times \ 32.174) \ lbm }{(141 )^2 }\\\\m = 5.045 \ lbm[/tex]
Therefore, the mass of the object is 5.045 lbm.
2. A 2500 kg car is slowed down uniformly from an initial velocity of 20.0 m/s to
the north by a 6250 N braking force acting opposite the car's motion. Use the
impulse-momentum theorem to answer the following questions:
a. What is the car's velocity after 2.50 s?
b. How far does the car move during 2.50 s?
c. How long does it take the car to come to a complete stop?
Answer:
13.75m/s; 42.2m; 8s
Explanation:
(a) the car's velocity after 2.50 s is 13.75 m/s
(b) The distance traveled by the car is 42.18 m
(c) the time taken for the car to come to complete stop is 8 s.
The given parameters;
mass of the car, m = 2500 kg
initial velocity of the car, u = 20 m/s
breaking applied on the car, f = 6250 N
The acceleration of the car is calculated as follows;
[tex]F = ma \\\\a = \frac{F}{m} = \frac{6250}{2500} = 2.5 \ m/s^2[/tex]
(a) Using impulse-momentum theorem, the car's velocity after 2.5 s is calculated as follows;
[tex]F = \frac{m(u-v)}{t} \\\\m(u-v) = Ft\\\\u-v = \frac{Ft}{m} \\\\v = u - \frac{Ft}{m} \\\\v = 20 - \frac{6250 \times 2.5}{2500} \\\\v = 13.75 \ m/s[/tex]
(b) The distance traveled by the car during the 2.5 s;
[tex]v^2 = u^2 - 2as\\\\2as = u^2 - v^2\\\\s = \frac{u^2 - v^2}{2a} \\\\s = \frac{20^2 - 13.75^2}{2\times 2.5} \\\\s = 42.18 \ m[/tex]
(c) The time taken for the car to come to a complete stop;
when the car stop's the final velocity, v = 0
v = u - at
0 = 20 - 2.5t
2.5t = 20
[tex]t = \frac{20}{2.5} \\\\t = 8 \ s[/tex]
Thus, the time taken for the car to come to complete stop is 8 s.
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What substances cannot be separated by steam distillation?
A capacitor is connected to an AC generator. As the generator's frequency is increased, what happens to the current in the capacitor
Answer:
The current increases.
Explanation:
A capacitor can be defined as an electronic component used in electrical circuits to store charge temporarily.
A capacitor is connected to an AC generator. As the generator's frequency is increased, the current in the capacitor increases as well.
This ultimately implies that, when a capacitor is connected to an AC generator, the frequency of the circuit is directly proportional to the amount of current flowing through it.
Which process is defined as breaking down rocks into smaller pieces without changing the rocks' compositions
Answer:
mechanical weathering
Explanation:
Answer:
Mechanical weathering is responsible for the composition of a rock
Explanation:
The answer is (D)
A 2-kg block sliding at 4.5m's north hits a wall and rebounds at 3.2 m s south What is the object's change in momentum?
Answer:
2.6kgm/s
Explanation:
Momentum is the product of mass of an object and its velocity
Change in momentum = mass × change in velocity
Change in momentum = m∆v
Given
Mass m =2kg
Change in velocity ∆v = 4.5-3.2
∆v = 1.3m/s
Change in momentum = 2×1.3
Change in momentum = 2.6kgm/s
Hence the object change in momentum is 2.6kgm/s
A horse is working steadily, providing 750 WW of output power. How much food energy does the horse need to work for 1 hour, to the nearest MJMJ
Answer:
2.7MJ
Explanation:
Power is expressed according to the formula
Power = work done/Time
The energy required is also known as the work done
Given
Power = 750Watts
Time = 1hr = 3600secs
Substitute the given values into the formula
750 = work done/3600
Work done = 750×3600
Work done = 2,700,000Joules
Convert to megajoules
Since
1MJ = 10^6Joules
x = 2.7×10^6Joules
Cross multiply
10^6x = 2.7×10^6
x = 2.7×10^6/10^6
x = 2.7
Hence the amount of energy absorber by the food in MJ is 2.7MJ
Two identical carts are free to move along a straight frictionless track. At time t1, cart X is moving at 2.0 m/s when it collides with and sticks to cart Y, which is initially at rest. Draw the graphs that best shows the velocity of cart X before and after the collision?
Answer:
Explanation:
Using the law of conservation of momentum;
[tex]m_1 u_1+m_2u_2 = m_1v_1+m_2v_2[/tex]
here;
There is a need for conservation of the total momentum that occurred before and after the collision.
So;
[tex]m_1[/tex] = mass of cart X
[tex]m_2[/tex] = mas 9f cart Y
[tex]u_1[/tex] = velocity of cart X (before collision)
[tex]u_2[/tex] = velocity of cart Y (before collision)
[tex]v_1[/tex] = velocity of cart X (after collision)
[tex]v_2[/tex] = velocity of cart Y (after collision)
So;
[tex]m(u_1+0) =(m_1v+m_2)v[/tex]
because the mass is identical and v represents the velocity of both carts.
Now;
[tex]u_1[/tex] = 2 m/s
[tex]u_2[/tex] = 0 ( at rest)
∴
m(2) = (2m)v
v = 1 m/s
Thus, we can see from the graphical image attached below that the velocity of X reduces to 1 m/s after collision with cart Y.
A person should be able to find all the answers to their science questions in the text
book.
True
False
It is a false statement that a person should be able to find all the answers to their science questions in the text because there are billions of scientific questions and it is almost impossible for any kind of textbook to contain all the answers.
What is science?Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.
A method of learning about the world is science. Science allows people to participate in the creation of new knowledge as well as use that knowledge to further their goals.
The idea that someone should be able to find all the answers to their scientific inquiries in the text is untrue since there are countless unanswered scientific questions, making it nearly impossible for any textbook to provide them all.
Thus, the statement is false.
Learn more about the science here, refer to the link ;
https://brainly.com/question/18186842
#SPJ2
What is the unit vector along ⃗ = hat − hat + hat ?
Answer:
1 hat
Explanation:
A working fluid enters a steady flow system with a velocity of 30m/s and leaves at
140m/s. The mass flow rate is 9 kg/s. The properties of the fluid entry are 13.8 bar,
0.122 m3
/kg, and internal energy 42.2 kJ/kg, and exit properties are 1.035 bar, 0.805
m3
/kg and internal energy 208 kJ/kg. Determine the work transfer in kW from the
system
Answer:
Pretty sure it’s A
Explanation:
Would ike brainliest
What do scientists know about the future of the universe?
what dark matter is made of
why the expansion of the universe is accelerating
that stars will eventually burn out causing the universe to become cold and dark
that galaxies spin much slower than they should based on visible matter
Answer:
B. Why the expansion of the universe is accelerating
Explanation:
possibly pretty sure if not right then the answer is A. What dark matter is made of hope this helps please mark brainiest only answer plz
Why the expansion of the universe is accelerating is what scientists know
about the future of the universe.
Scientists have observed that radiation emitted by the galaxies have shifted
towards the red end of the electromagnetic spectrum. This means that there
has been an increase in the wavelength for this to occur.
This tells us that the universe is expanding which was why the wavelength
of the emission spectra experienced a shift or stretch.
Read more on https://brainly.com/question/9981218
As positively charged sodium ions enter the axon, _______ flow(s) out to repolarize part of the axon
a. potassium ions
b. a neural impulse
c. the action potential
d. glial cells
As positively charged sodium ions enter the axon, potassium ions flow out to repolarize part of the axon.
At the beginning of an action potential of cell membrane, the sodium ion gates open and sodium ions flows into the cell. This process is called depolarization. Due to rapid influx of sodium ion, the channel is eventually closed.
The potassium channels are then activated in a process called repolarization. This process occurs when the potassium channels open and allow potassium ions to flow out of the cell.
To maintain the cell membrane potential, cells are kept at low concentration of sodium ions and high concentration of potassium ions.
Thus, as positively charged sodium ions enter the axon, potassium ions flow out to repolarize part of the axon.
Learn more here: https://brainly.com/question/7778945
what relationship must exist between an applied force and the velocity of a moving obkect if uniform circular motion is to result
Answer:
See explanation
Explanation:
The centripetal force keeps an object moving in a circular orbit at constant velocity. The velocity of an object undergoing uniform motion is always tangential to the circle while the centripetal force is directed towards the center of the circle.
This now implies that the direction of the force acting on a body undergoing circular motion at constant velocity is perpendicular to the direction in which the object is being displaced.
A point charge (q1) has a magnitude of 3.0 x10-6 C. A second charge (q2) has a magnitude of -1.5 x10-6 C and is located 0.12 m from the first charge. Determine the electrostatic force each charge exerts on the other.
Answer:2.81 N
Explanation:
Given
[tex]q_1=3\times 10^{-6}\ C\\q_2=-1.5\times 10^{-6}\ C[/tex]
distance between them r=0.12 m
Electrostatic force is [tex]F=\frac{kq_1q_2}{r^2}[/tex]
Putting values
[tex]F=\dfrac{9\times 10^9\times (3\times 10^{-6})\times (-1.5\times 10^{-6})}{0.12^2}\\F=2.81\ N[/tex]
How is a physical change different to a chemical change. Give an example of a physical change.
Answer:
Physical change is different to chemical change by that physical changes can be reversed, meaning it can be turned back to its original form, but chemical changes CANNOT! Chemical change is something that creates a NEW substances that cannot be reversed. It creates new forms.
Explanation:
Example of chemical change: Change in texture- fried egg. It cannot be turned back to its original form after it is fried.
I truly hope this is helpful!!
If so, please, please mark brainliest, i haven’t got any!
Thanks! Have wonderful day! :)
Help please !
In sexual reproduction, why is fertilization necessary to produce an organism ?
1. Fertilization allows an organism to receive a complete set of chromosomes -one set each parent .
2. Fertilization is needed to make the cell bigger . A bigger cell leads to the development of an organism .
3. Fertilization allows an organism to reproduce asexually , making identical clones of itself.
4. Fertilization is needed so that the egg cell can obtain nutrients from the sperm cell. Without these nutrients , an organism cannot develop .
Answer:
1. Fertilization allows an organism to receive a complete set of chromosomes -one set each parent.
Explanation:
Which of the following is Not One of the four Assumptions of kinetic theory?
A. All matter is composed of tiny particles
B. These particles are in constant random motions
C. The particles move in a choreograph path and do not collide
D. The amount of energy that the particles this on this collision is negligible
Answer:
I Believe it is
Option C (The particles move in a choreograph path and do not collide)
Explanation:
Hope this Helps! :)
PLEASE ITS AN Emergency IF ITS RIGHT I WILL GIVE BRAINLIEST
Answer:
all of those are pisitions
Explanation:
Why could it be argued that the respiratory system is most critical to sustaining life?
Explanation:
Energy is the most important ingredient for life. Organisms use energy in diverse ways. Scientifically, energy is defined as the ability to do work. Without this ability, organisms would not exist.
So, the most important process is one that can furnish the body with energy.
The respiratory system happens to be the one that furnishes the body with energy. During respiration, the energy needs of the body is met by series of processes. Oxygen is taken in and use to liberate calories from chemical substances packed with energy. So, without respiration, the bodily energy demands will not be met.A small lead ball, attached to a 1.10-m rope, is being whirled in a circle that lies in the vertical plane. The ball is whirled at a constant rate of three revolutions per second and is released on the upward part of the circular motion when it is 1.3 m above the ground. The ball travels straight upward. In the absence of air resistance, to what maximum height above the ground does the ball rise
Answer:
1.84 m
Explanation:
For the small lead ball to be balanced at the tip of the vertical circle just before it is released, the reaction force , N equal the weight of the lead ball W + the centripetal force, F. This normal reaction ,N also equals the tension T in the string.
So, T = mg + mrω² = ma where m = mass of small lead ball, g = acceleration due to gravity = 9.8 m/s², r = length of rope = 1.10 m and ω = angular speed of lead ball = 3 rev/s = 3 × 2π rad/s = 6π rad/s = 18.85 rad/s and a = acceleration of normal force. So,
a = g + rω²
= 9.8 m/s² + 1.10 m × (18.85 rad/s)²
= 9.8 m/s² + 390.85 m/s²
= 400.65 m/s²
Now, using v² = u² + 2a(h₂ - h₁) where u = initial velocity of ball = rω = 1.10 m × 18.85 rad/s = 20.74 m/s, v = final velocity of ball at maximum height = 0 m/s (since the ball is stationary at maximum height), a = acceleration of small lead ball = -400.65 m/s² (negative since it is in the downward direction of the tension), h₁ = initial position of lead ball above the ground = 1.3 m and h₂ = final position of lead ball above the ground = unknown.
v² = u² + 2a(h₂ - h₁)
So, v² - u² = 2a(h₂ - h₁)
h₂ - h₁ = (v² - u²)/2a
h₂ = h₁ + (v² - u²)/2a
substituting the values of the variables into the equation, we have
h₂ = 1.3 m + ((0 m/s)² - (20.74 m/s)²)/2(-400.65 m/s²)
h₂ = 1.3 m + [-430.15 (m/s)²]/-801.3 m/s²
h₂ = 1.3 m + 0.54 m
h₂ = 1.84 m
Please could you help me. A race car travels along a straight length of track at 65 m/s. The race car and driver have a
combined mass of 580 kg. Calculate the total energy in the kinetic energy store of the car and
driver. Make sure you give the correct symbol for the unit. *
Answer:
1.23×10⁶ J
Explanation:
From the question given above, the following data were obtained:
Velocity (v) = 65 m/s
Mass (m) = 580 Kg
Kinetic energy (KE) =?
The kinetic energy can be obtained by using the following formula :
KE = ½mv²
Where:
KE => is the kinetic energy.
m => is the mass
v => is the velocity
With the above formula, we can obtain the kinetic energy as follow:
Velocity (v) = 65 m/s
Mass (m) = 580 Kg
Kinetic energy (KE) =?
KE = ½mv²
KE = ½ × 580 × 65²
KE= 290 × 4225
KE = 1.23×10⁶ J
Thus, the kinetic energy is 1.23×10⁶ J