A 30 kg block with velocity 50 m/s is encountering a constant 8 N friction force. What is the momentum of the block after 15 seconds?
Answers
The momentum of the block after 15 seconds is 1380 kg·m/s.
To find the momentum of the block after 15 seconds, we first need to determine its final velocity. We'll use the following terms:
1. Mass (m) = 30 kg
2. Initial velocity (u) = 50 m/s
3. Friction force (F) = 8 N
4. Time (t) = 15 s
Since friction is a force, we can use Newton's second law (F = ma) to find the deceleration caused by friction:
a = F/m = 8 N / 30 kg = 0.267 m/s² (deceleration)
Now, we'll use the equation of motion to find the final velocity (v):
v = u - at = 50 m/s - (0.267 m/s² × 15 s) = 50 m/s - 4 m/s = 46 m/s
Finally, we can calculate the momentum (p) using the mass and final velocity:
p = mv = 30 kg × 46 m/s = 1380 kg·m/s
So, the momentum of the block after 15 seconds is 1380 kg·m/s.
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Related Questions
Calculate the force with which the moon pulls every kilogram of water in Kamali river given that the moon is 3×10^5km away from Nepal and mass of moon is 7x 10^22kg,
Answers
The moon pulls each kilogram with water in the Kamali River with a force of 5.19 x 10-5 N, or strength or energy used or brought to bear.
In science, what exactly is a force?The term "force" has a clear definition in science. It is quite acceptable to refer to a force of this level as a push or perhaps a pull. An object does not "have in it" or "contain" a force. One thing is subject to a force from another. There is no distinction between living and non-living things in the concept of a force.
r3 = 105 kilometers x 10 m 3 x 108m
1 kmF=G.M.mp2
6.67 x 10-11 N kg 2. m2 X 7 × 1022 kg X 1 kg\s(3 x 108 m) (3 x 108 m) 2\s5.19 x 10-5 N
What is a good illustration of force?A push that has the potential to accelerate something is called a force. A physical push could be used to move a large furniture item around a room. It might be less concrete, like depressing a gas pedal in such a car. J
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Light passes from an object through the video camera lens and is converted into an electrical signal by a ___________
Answers
Light passes from an object through the video camera lens and is converted into an electrical signal by an image sensor.
What is an image sensor?An image sensor, sometimes known as an imager, is a sensor that detects and transmits information required to create an image.
It accomplishes this by translating the changing attenuation of light waves into signals, which are tiny bursts of electricity that carry information.
An image sensor converts light from an object that passes through the video camera lens into an electrical signal.
Light passes from an object through the video camera lens and is converted into an electrical signal by an image sensor.
Hence,image sensor is the correct answer.
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The fan on a personal computer draws 0.3 ft3/s ofair at 14.7 psia and 708F through the box containing the CPU and other components. Air leaves at 14.7 psia and 838F.Calculate the electrical power, in kW, dissipatedby the PCcomponents
Answers
Answer:
0.12 kW
Explanation:
Given that
The flow rate of air (V)=0.3 ft³/s
V=0.008 m³/s
Pressure, P=14.7 psia
P=1.013529 atm=101.325 kPa
Inlet temperature = 70° F=294.261 K
Exit temperature = 83° F=301.483 K
We know that , specific heat capacity of the air
Cp=1.005 kJ/kg.K
The mass flow rate of air is given as
\(\dot{m}=\dfrac{P\times V}{R\times T}\\\dot{m}=\dfrac{101.325\times 0.008}{0.287\times 294.261}\\\dot{m}= 0.0095\ kg/s\)
By using energy conservation
\(Electric\ power =\dot{m}\times C_p\times (T_2-T_1)\\Electric\ power =0.0095\times 1.005\times (83-70)=0.12\ kW\)
Therefore electric power dissipate by components will be 0.12 kW.
A car accelerates from rest at a stop sign at a rate of 3.0 m/s^2 to a speed of 21.0 m/s, and then immediately begins to decelerate to a stop at the next stop sign at a rate of 4.0 m/s^2. How long did it take the car to travel from the first stop sign to the second stop sign? Show your work.
Answers
Answer:
t = 12.25 s
Explanation:
First we calculate the time taken by the car during accelerating motion, we use 1st equation of motion:
Vf = Vi + at₁
where,
Vf = Final Velocity = 21 m/s
Vi = Initial Velocity = 0 m/s
a = acceleration = 3 m/s²
t₁ = time taken during acceleration = ?
Therefore,
21 m/s = 0 m/s + (3 m/s²)t₁
t₁ = (21 m/s)/(3 m/s²)
t₁ = 7 s
Now, we use the same equation to find out the time taken during deceleration motion, with following data:
Vf = Final Velocity = 0 m/s
Vi = Initial Velocity = 21 m/s
a = deceleration = -4 m/s²
t₂ = time taken during deceleration = ?
Therefore,
0 m/s = 21 m/s + (-4 m/s²)t₂
t₂ = (-21 m/s)/(-4 m/s²)
t₂ = 5.25 s
Therefore, the total time taken by the car to travel from first stop sign to second stop sign is:
t = t₁ + t₂
t = 7 s + 5.25 s
t = 12.25 s
Answer:
12.25s
Explanation:
An object with a 25 µC charge is 0.54 m away from a second charged object. They experience a force of 3250 N. What is the charge on the second object?
Your answer
Answers
Which of the following is NOT a function of the digestive system? *
A. Support and protect the body
B. eliminating undigested wastes from the body
C. breaking down food into molecules that the body can use
D. absorbing food molecules into the blood
1 point
Answers
Support and protect the body is NOT a function of the digestive system
Your body's skeletal structure serves as a support system. It gives the body its structure, permits mobility, produces blood cells, offers organs protection, and stores minerals. A different name for the skeletal system is the musculoskeletal system.
What is digestive system ?The digestive system consists of organs that are crucial for breaking down both food and water. These include the anus, pharynx (throat), stomach, small and large intestines, rectum, and oesophagus.
The body needs nutrients for energy, growth, and cell repair, and nutrients are broken down into via the digestive process. Prior to the blood absorbing nutrients from food and drink and transporting them to body cells, those nutrients must be broken down into smaller molecules.Learn more about Digestive system here:
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5. Explain the law of conservation of energy using a relevant example from every day life.
Answers
The law of conservation of energy states that energy is neither created nor destroyed but is transformed from one form to another.
What is law of conservation of energy?The law of conservation of energy is the law that states that energy is neither created nor destroyed but is transformed from one form to another.
Examples of activities of everyday life that shows the conservation of energy include the following:
For loudspeaker, electrical energy is converted into sound energy.For a microphone, sound energy is converted into electrical energy.For a generator, mechanical energy is converted into electrical energy.When fuels are burnt, chemical energy is converted into heat and light energyLearn more about energy here:
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An example of the law of conservation of energy is a roller coaster.
What is the law of conservation of energy?The law of conservation of energy states that energy cannot be created or destroyed, only transferred or transformed from one form to another. This means that the total amount of energy in a closed system remains constant over time.
A roller coaster car gains kinetic energy as it moves down the track, but it also loses potential energy. At the bottom of the track, the car has the most kinetic energy and the least potential energy, while at the top of the track, it has the most potential energy and the least kinetic energy. However, the total amount of energy in the system remains constant.
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name and describe the process that fuels the sun
Answers
Answer:
The Sun derives all its energy from a fusion cycle. In that process, tiny hydrogen molecules combine into a continuous proton-proton chain to create larger helium nuclei. The above figure illustrates the fusion of hydrogen into helium.
Explanation:
Hope this helps.
Answer:
nuclear fusion
Explanation:
In this process, small hydrogen molecules fuse together to form bigger helium nuclei in a continuous proton-proton chain.
A food packet is dropped from a helicopter during a flood-relief operation from a height of 750 meters. Assuming no drag (air friction), what will the velocity of the packet be when it reaches the ground?
Answers
Answer: 121.2 m/s
Explanation:
Here we will use the conservation of energy.
We can write the total energy of an object as:
E = K + U
For this particular case we have:
K = kinetic energy = (m/2)*v^2
U = potential energy = m*g*h
where:
m = mass of the object.
g = gravitational acceleration = 9.8m/s^2
h = height at which the object is dropped, in this case 750m
v = velocity of the object.
Right when the packet is dropped, it's velocity is equal to zero, this means that there is no kinetic energy and only potential energy, then we have:
Ei = Ui = m*9.8m/s^2*750m = m*(7350m^2/s^2)
And when the object is about to hit the ground, h will be almost equal to zero, this will mean that we will have only kinetic energy, and because of the conservation of energy, this final energy must be the same as the initial energy, then we will have
Ei = Ef
m*(7350m^2/s^2) = Ef = Kf
m*(7350m^2/s^2) = (m/2)*v^2
We can divide by m in both sides to get:
(7350m^2/s^2) = (1/2)*v^2
√( 2*(7350m^2/s^2)) = v = 121.2 m/s
Then the velocity of the packet when it reaches the ground is 121.2 m/s
a hot-air balloon is accelerating upward under the influence of several forces. the hot air inside the balloon has a density of 0.930 kg/m3, and the density of the cool air outside is 1.29 kg/m3. the mass of the balloon fabric and basket is negligible. find the acceleration of the rising balloon. include in your solution a free-body diagram for the balloon.
Answers
Explanation:
0.930kg/m^3+1.29kg/m^3=2.220kg/m^3
Kathleen is testing a mixture containing a certain substance. She takes a sample from the top and the bottom. The sample from the bottom has more of the substance than the sample from the top. What is the mixture
Answers
The sample from the bottom has more of the substance than the sample from the top, is because of the heterogeneous mixture.
The mixture is a combination of two or more substances dispersed in one another and it retains its original property. The mixture is of two types and they are a homogenous and heterogeneous mixture.
A heterogeneous mixture is a mixture of two or more substances that are dissimilar structures and they are unevenly distributed in the mixture. It is a mixture with non-uniform composition and the molecules can be separated into their constituents by filtering or magnetic separation etc.
Hence, from the observation, Kathleen observed uneven distribution of the mixture. Thus, the sample is a heterogeneous mixture.
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A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward). The rocket's acceleration has components ax(t)=αt2
and ay(t)=β−γt
, where α
= 2. 50 m/s4
, β
= 9. 00 m/s2
, and γ
= 1. 40 m/s3. At t=0
the rocket is at the origin and has velocity v⃗ 0=v0xi^+v0yj^
with v0x
= 1. 00 m/s
and v0y
= 7. 00 m/s
Answers
The position of the rocket at time t is given by:
x(t) = x0 + v0x t + 1/2 ax t^2
y(t) = y0 + v0y t + 1/2 ay t^2
where x0 and y0 are the initial position components (both zero in this case).
The velocity of the rocket at time t is given by:
vx(t) = v0x + ax t
vy(t) = v0y + ay t
At t = 0, the rocket is at the origin with velocity v0x = 1.00 m/s and v0y = 7.00 m/s. Therefore, we have:
x0 = 0, v0x = 1.00 m/s, and ax = 2.50 m/s^2
y0 = 0, v0y = 7.00 m/s, and ay = 9.00 - 1.40t m/s^2
(a) What is the maximum altitude reached by the rocket?
The maximum altitude will be reached when the vertical velocity of the rocket becomes zero, i.e., when vy = 0. We can use the equation for vy(t) to find the time t when this happens:
vy(t) = v0y + ay t = 0
t = -v0y/ay = -7.00 m/s / (9.00 - 1.40t) m/s^2
Substituting this value of t into the equation for y(t), we get the maximum altitude:
y_max = y(t) = 0 + 7.00 t - 1/2 ay t^2
y_max = (49/12) m
Therefore, the maximum altitude reached by the rocket is 4.08 m.
(b) What is the maximum distance from the origin attained by the rocket?
The maximum distance from the origin will be attained when the rocket returns to the ground, i.e., when y(t) = 0. We can use the equation for y(t) to find the time t when this happens:
y(t) = 0 = 7.00 t - 1/2 ay t^2
t = 0 or t = 14/9 s
The rocket returns to the ground at t = 14/9 s. Substituting this value of t into the equation for x(t), we get the maximum distance from the origin:
x_max = x(t) = 0 + v0x t + 1/2 ax t^2
x_max = (35/27) m
Therefore, the maximum distance from the origin attained by the rocket is 1.30 m.
PLEASE HELP ME BRAINLIEST
Answers
Answer:
mechanical energy
Explanation:
Sound energy is the result when a force, either sound or pressure, makes an object or substance vibrate. That energy moves through the substance in waves. Those sound waves are called kinetic mechanical energy.
Where does diffusion occur in the excretory system
Answers
Answer:
Diffusion of water, salts, and waste products occurs in the kidneys. Diffusion of calcium from food into cells occurs in the intestines. Molecules are not the only things that can diffuse. Heat from the body diffuses away in the form of sweat that evaporates.
Explanation:
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how to find pressure when force and area is given?
Answers
Answer:
pressure=force (N)/area (square metres)
Help in 1st question only of 7no
Answers
The correct valencies are CO3--: 2-, PO4--: 3-, Na: 1+, H: variable (1+ or 1-), OOH: 1-, NH4+: 1+, Cl: 1-, Ca: 2+, Al: 3+, Si: variable (4+ or 4-), Hg (ic): 1+, NO3-: 1-.
Valency refers to the combined capacity of an atom or ion, which determines its ability to form chemical bonds with other atoms. It indicates the number of electrons an atom can gain, lose, or share when forming chemical compounds. The valency of an element or ion helps determine its chemical reactivity and the types of chemical bonds it can form. It is often represented by a positive or negative sign to indicate the charge of an ion or by a numerical value to represent the number of bonds an element can form.
Here are the valencies of the ions and elements you mentioned:
CO3-- (carbonate ion) - The valency of carbonate ion is 2-.
PO4-- (phosphate ion) - The valency of phosphate ion is 3-.
Na (sodium) - The valency of sodium is 1+.
H (hydrogen) - The valency of hydrogen can vary depending on the compound it is present in. It can have a valency of either 1+ or 1-.
OOH (hydroxide ion) - The valency of hydroxide ion is 1-.
NH4+ (ammonium ion) - The valency of ammonium ion is 1+.
Cl (chlorine) - The valency of chlorine is 1-.
Ca (calcium) - The valency of calcium is 2+.
Al (aluminum) - The valency of aluminum is 3+.
Si (silicon) - The valency of silicon can vary depending on the compound it is present in. It commonly exhibits a valency of 4+ or 4-.
Hg (mercury, I) - The valency of mercury(I) is 1+.
NO3- (nitrate ion) - The valency of nitrate ion is 1-.
Therefore, correct answers are CO3--: 2-, PO4--: 3-, Na: 1+, H: variable (1+ or 1-), OOH: 1-, NH4+: 1+, Cl: 1-, Ca: 2+, Al: 3+, Si: variable (4+ or 4-), Hg (ic): 1+, NO3-: 1-.
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At a certain location, the solar power per unit area reaching earth's surface is 200 w/m2, averaged over a 24-hour day. If the average power requirement in your home is 3. 4 kw and you can convert solar power to electric power with 15 % efficiency, how large a collector area will you need to meet all your household energy requirements from solar energy?
Answers
You would need a collector area of approximately 113.33 square meters to meet all your household energy requirements from solar energy, considering a solar power per unit area of 200 W/m² and a solar power conversion efficiency of 15%.
To determine the collector area needed to meet your household energy requirements from solar energy, we can follow these steps:
Convert the average power requirement from kilowatts (kW) to watts (W):
Average power requirement = 3.4 kW × 1000 = 3400 W
Calculate the total solar power needed to meet the household energy requirements:
Total solar power = Average power requirement / Solar power per unit area
Total solar power = 3400 W / 200 W/m² = 17 m²
Adjust for the efficiency of the solar power conversion:
Collector area = Total solar power / Solar power conversion efficiency
Collector area = 17 m² / 0.15 = 113.33 m²
Therefore, you would need a collector area of approximately 113.33 square meters to meet all your household energy requirements from solar energy, considering a solar power per unit area of 200 W/m² and a solar power conversion efficiency of 15%.
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What is a valid frame of reference for observing motion if you
are riding on a bus with a friend?
a the bus driver at the front of the bus
b the wastebasket on the bus
c your friend sitting next to you
d objects like trees and houses outside the windows
Answers
Answer: D
Explanation:
A person is sitting in a car watching a traffic light. the light is 14.5 m away.
when the light changes color, how long does it take the new color of light to
travel to the driver so that he can see it? state your answer in nanoseconds.
v=3.00*10^8 m/s
Answers
The light needs 48.3 x 10-9 seconds, or 48.3 nanoseconds, to get to the driver.
The distance traveled in a unit of time is called speed. It refers to a thing's rate of movement. The scalar quantity known as speed is the velocity vector's magnitude.The following formula determines the speed of a light wave:
Speed = Distance/Time
Both the distance to be traveled and the light wave's velocity are specified.
The distance traveled by the wave in the given amount of time may be determined by multiplying the
Putting distance = 14.5 m and speed = 3 x 10^8 m/s
3 x 10^8 m/s = 14.5 m/Time
Time is defined as 48.3 x 10-9 seconds, or 48.3 nanoseconds.
As a result, the light needs 48.3 x 10-9 seconds, or 48.3 nanoseconds, to reach the driver.
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Here are two relations: "is married to" and "is not married to." Supposing the universe is the set of all living human beings, which of these is...
(a) reflexive
(b) irreflexive
(c) symmetric
(d) asymmetric
(e) antisymmetric
Answers
The answer is option (b) irreflexive, i.e., "is not married to." Therefore, we can conclude that the irreflexive is "is not married to".
Here are two relations: "is married to" and "is not married to." Supposing the universe is the set of all living human beings, which of these is irreflexive.
The irreflexive is "is not married to".What is irreflexive. In Mathematics, a binary relation R over a set X is irreflexive if and only if no element of X is associated with itself under the relation. Symbolically, ∀x ∈ X, ¬(xRx).
For example, the "greater than" relation is irreflexive on the real numbers because no real number is ever greater than itself.
What is a binary relation A binary relation R from a set A to a set B is a subset of the Cartesian product A × B, where A and B are arbitrary sets.In this case, the universe is the set of all living human beings.
Therefore, the relation "is married to" is not irreflexive. However, the relation "is not married to" is irreflexive since no human being is not married to themselves.
Thus, the answer is option (b) irreflexive, i.e., "is not married to."Therefore, we can conclude that the irreflexive is "is not married to".
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The relation "is married to" is reflexive, while the relation "is not married to" is irreflexive. Neither relation is symmetric, asymmetric, or antisymmetric.
The relation "is married to" is an example of a reflexive relation, while the relation "is not married to" is an example of an irreflexive relation.
(a) Reflexive: A relation is reflexive if every element in the set is related to itself. In the case of the relation "is married to," every person in the universe of all living human beings is married to themselves. For example, John is married to John, Mary is married to Mary, and so on. This satisfies the condition of reflexivity.
(b) Irreflexive: A relation is irreflexive if no element in the set is related to itself. In the case of the relation "is not married to," no person in the universe of all living human beings is not married to themselves. This means that everyone is married to themselves, which contradicts the condition of irreflexivity.
The relations "is married to" and "is not married to" are not symmetric, asymmetric, or antisymmetric because they do not satisfy the respective conditions for these properties.
(c) Symmetric: A relation is symmetric if for every element (x, y) in the relation, the element (y, x) is also in the relation. In the case of the relation "is married to," if John is married to Mary, it does not necessarily mean that Mary is married to John. Therefore, the relation is not symmetric.
(d) Asymmetric: A relation is asymmetric if for every element (x, y) in the relation, the element (y, x) is not in the relation. In the case of the relation "is married to," if John is married to Mary, it is not possible for Mary to be married to John. Therefore, the relation is not asymmetric.
(e) Antisymmetric: A relation is antisymmetric if for every element (x, y) in the relation, where x is not equal to y, if (x, y) is in the relation, then (y, x) is not in the relation. In the case of the relation "is married to," if John is married to Mary, it is not possible for Mary to be married to John. Therefore, the relation is antisymmetric.
In summary, the relation "is married to" is reflexive, while the relation "is not married to" is irreflexive. Neither relation is symmetric, asymmetric, or antisymmetric.
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When a star is so dense that its atoms have their electrons smashed in toward the nucleus (resulting in densities about a million times greater than water), the resulting material is called ________.
Answers
When a star is so dense that its atoms have their electrons smashed in toward the nucleus (resulting in densities about a million times greater than water), the resulting material is called a Neutron star.
What is Star?Stars are present in the galaxy that have the ability to generate their own light. They are both quite hot and very huge.
They are largely formed of hydrogen, with a trace of helium thrown in for good measure.
The sun is also a star, and its energy and light play an important part in the survival of all kinds of life on Earth.
When a star is so dense that its atoms have their electrons smashed in toward the nucleus (resulting in densities about a million times greater than water), the resulting material is called a Neutron star.
Hence the correct answer is a neutron star.
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A bullet moving at 100 m/sec, mass 100 grams, strikes a block of wood hanging from a light rope 3.0 meters long. the bullet sticks in the block and they swing to an angle of 30 degrees from the vertical. what must be the mass of the block?
Answers
If a bullet moving at 100 m/sec, mass 100 grams, strikes a block of wood hanging from a light rope 3.0 meters long. the bullet sticks in the block and they swing to an angle of 30 degrees from the vertical. Then the mass of the block must be approximately 0.424 kg for the given conditions.
To solve this problem, we can use the conservation of momentum and conservation of energy principles. Let's start by finding the initial momentum of the bullet:
p = mv = 0.1 kg x 100 m/s = 10 kg m/s
After the collision, the bullet and the block of wood move together as one object. Let the mass of the block be "M". The final velocity of the combined object can be found using conservation of momentum:
p = (m + M) v_final
where v_final is the final velocity of the combined object. Since the bullet is lodged in the block, we can assume that the final velocity is much smaller than the initial velocity of the bullet (i.e. v_final << 100 m/s). Therefore, we can neglect the mass of the bullet compared to the mass of the block and write:
v_final = p / M
Next, we can use conservation of energy to find the height the block rises to after the collision. At the top of its swing, all of the initial kinetic energy of the bullet-block system will have been converted into gravitational potential energy:
1/2 (m + M) v_final² = (m + M) g h
where g is the acceleration due to gravity (9.81 m/s²) and h is the height the block rises to. Substituting the expression for v_final from the momentum equation gives:
1/2 p² / M² = (m + M) g h
Solving for M, we get:
M = p^2 / (2 g h)
Substituting the given values, we get:
M = (10 kg m/s)² / (2 x 9.81 m/s² x 3.0 m x sin(30 degrees)) = 0.424 kg
Therefore, the mass of the block must be approximately 0.424 kg for the given conditions.
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6. in measuring the length and diameter of a cylinder, which dimension should be measured more carefully? why?
Answers
That being said, it's important to measure both the length and diameter of a cylinder as accurately as possible to ensure precise and reliable results. The measuring tools and techniques used should be appropriate for the size and shape of the cylinder, and any uncertainties or errors in the measurements should be accounted for and minimized as much as possible.
What is Cylinder?
A cylinder is a three-dimensional geometric shape that consists of two parallel, congruent circular bases and a curved lateral surface that connects the bases. A cylinder can be thought of as a tube or pipe with a uniform circular cross-section, and is one of the most basic and fundamental shapes in geometry.
In general, the length of a cylinder should be measured more carefully than the diameter. This is because the length of a cylinder typically determines its overall volume and surface area, and any errors in measuring the length can have a larger impact on these properties than errors in measuring the diameter.
For example, if the length of a cylinder is measured too long or too short by even a small amount, it can result in a significant difference in the volume and surface area of the cylinder, which can affect its performance in various applications. On the other hand, errors in measuring the diameter may have a lesser impact on the overall properties of the cylinder, especially if the cylinder has a relatively small diameter or if the diameter is not a critical factor in its use.
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I really dont know physics
Answers
Answer:
3
Explanation:
I had this question before
The wall of the bulb of a thermometer is made thin why?
Answers
The wall of the bulb of a thermometer is made thin beause allow the heat from sample being measured to reach the liquid quickly for fast response and quick reading (improves the quickness of response by the thermometer). ... — has a vacuum above the liquid column so there is no resistance to the expanding liquid.
if it takes jupiter 13 years to orbit the sun. how long (in years) will it take jupiter to return to the same position in the sky as viewed from earth?
Answers
It takes Jupiter approximately 1 year to complete one orbit around the Sun. Therefore, it will take Jupiter approximately 1 year to return to the same position in the sky as viewed from Earth.
The time it takes for Jupiter to orbit the Sun (13 years) is known as its orbital period. However, from Earth's perspective, Jupiter's position in the sky is influenced not only by its orbital motion but also by Earth's own orbit around the Sun. Earth completes one orbit around the Sun in approximately 1 year, which means that it returns to the same position in its orbit. Therefore, for Jupiter to appear in the same position in the sky as viewed from Earth, it would take approximately 1 year, aligning with Earth's own orbit around the Sun.
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the
resistance R produced by wiring resistors of R1 and R2 ohms in
parallel can be calculated from 1/R=1/R1+1/R2. If R1 and R2 are
measured to be 7 ohms and 10 ohms respectively and if these
measureme
Answers
nts have an uncertainty of 0.1 ohms each, we can calculate the following:
(a) Calculate the resistance R when R1 and R2 are wired in parallel:
Using the formula 1/R = 1/R1 + 1/R2, we can substitute the given values:
1/R = 1/7 + 1/10
(b) Calculate the percent uncertainty in R1:
Percent uncertainty in R1 = (Uncertainty in R1 / R1) * 100
Percent uncertainty in R1 = (0.1 ohms / 7 ohms) * 100
(c) Calculate the percent uncertainty in R2:
Percent uncertainty in R2 = (Uncertainty in R2 / R2) * 100
Percent uncertainty in R2 = (0.1 ohms / 10 ohms) * 100
(d) Calculate the percent uncertainty in R:
To calculate the percent uncertainty in R, we need to consider the uncertainties in R1 and R2:
Percent uncertainty in R = (Percent uncertainty in R1 + Percent uncertainty in R2)
You can substitute the given values into the equations to calculate the desired values.
Note: The uncertainty in R is calculated by combining the uncertainties in R1 and R2. Since the formula for parallel resistance is an addition of terms, the percent uncertainties in R1 and R2 can simply be added.
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calculate the height (in m) of a cliff if it takes 2.32 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.19 m/s. 7.37 correct: your answer is correct. seenkey 7.37 m (b) how long (in s) would it take to reach the ground if it is thrown straight down with the same speed? 0.649 correct: your answer is correct. seenkey 0.649 s
Answers
To calculate the height of the cliff and the time it takes for the rock to reach the ground when thrown straight down, we can use the equations of motion.
(a) Height of the cliff:
When the rock is thrown straight up, it reaches its highest point before falling back down. The time it takes for the rock to reach its highest point is equal to the time it takes for the rock to fall back down to the ground.
Using the equation:
s = ut + (1/2)at^2
Where:
s is the distance traveled (height of the cliff),
u is the initial velocity (8.19 m/s),
t is the time (2.32 s),
a is the acceleration due to gravity (-9.8 m/s^2, taking downward direction as negative).
Rearranging the equation:
s = ut + (1/2)at^2
s = (8.19)(2.32) + (1/2)(-9.8)(2.32)^2
s = 19.004 - 25.798
s = -6.794 m
Since the height of a cliff cannot be negative, we take the absolute value of the result:
Height of the cliff = |s| = 6.794 m
So, the height of the cliff is approximately 6.794 meters.
(b) Time to reach the ground when thrown straight down:
When the rock is thrown straight down with the same speed, the initial velocity (u) is still 8.19 m/s, but the acceleration due to gravity (a) remains -9.8 m/s^2.
Using the equation:
s = ut + (1/2)at^2
Where:
s is the distance traveled (height of the cliff, which is now negative),
u is the initial velocity (8.19 m/s),
t is the time we want to find,
a is the acceleration due to gravity (-9.8 m/s^2, taking downward direction as negative).
Substituting the known values:
-6.794 = (8.19)t + (1/2)(-9.8)t^2
Rearranging the equation:
-6.794 = 8.19t - 4.9t^2
Rearranging further:
4.9t^2 - 8.19t - 6.794 = 0
Solving this quadratic equation, we find two possible values for t: 0.828 seconds and 1.303 seconds. Since we are considering the time it takes to reach the ground, the valid solution is t = 0.828 seconds.
Therefore, when the rock is thrown straight down, it takes approximately 0.828 seconds to reach the ground.
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A 5.28 kilogram bowling ball traveling 6.5 m/s east collides head-on with a 3.45 kilogram bowling ball traveling 12.0 m/s west. Determine the magnitude
of the total momentum of the two ball system after the collision.
Answers
The momentum of an isolated system before and after a collision must equal each other, according to the law of conservation of momentum.
In a collision, why does momentum remain constant?The only thing that happens when two bodies collide is that their momentum changes. Thus, for bodies colliding, changes in momentum are always equal and opposite. The momentum of the other body must decrease by the same amount if the momentum of the first body increases. As a result, momentum always remains constant.
In every collision, is momentum always conserved?Regardless of the type of collision, momentum is always conserved. Although mass is conserved regardless of the type of collision, an inelastic collision may cause the mass to deform, leading to the two possibilities.
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A vector is 14.4 m long and
points in a 133 degree
direction.
Find the y-component of the
vector.
Answers
The y-component of the vector if the vector is 14.4 m long and points in a 133 degree direction is 9.92m
A vector force is defined as a vector quantity having both magnitude and direction.
If the magnitude of a vector is 14.4m long points in a 133-degree direction, then the y-component of the vector force will be expressed as:
\(v_y = vsin \theta\)
Given the following parameters
\(v = 14.4m\\\theta = 133-90=43^0\)
Substitute the given parameters into the expression
\(v_y=14.4 sin 43^0\\v_y=9.82m\)
Hence the y-component of the vector if the vector is 14.4 m long and points in a 133 degree direction is 9.92m
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Answer:
10.5
Explanation:
The equation for the y-component is Asin(theta) so the equation for this problem would be 14.4sin(133) which equals 10.5314933. We round this equation down to 10.5 and that is your answer.