Answer:
... message me. what do u want to know
Things I would work on for starting are these Basic principles of physics
1. Newton's laws of motion.
2. Mass, force, and weight (Mass versus weight)
3. Momentum and conservation of energy.
4. Gravity, theories of gravity.
5. Energy, work, and their relationship.
6. Motion, position, and energy.
Apologies if this wasn't what you were searching for. (;′⌒`)
___________________________________________________________
私が始めるために取り組むことは、これらの物理学の基本原理です。
1.ニュートンの運動の法則。
2.質量、力、および重量(質量対重量)
3.勢いとエネルギー保存。
4.重力、重力の理論。
5.エネルギー、仕事、およびそれらの関係。
6.動き、位置、およびエネルギー。
これがあなたが探していたものではなかった場合はお詫び申し上げます。
95 cm = ________________ m
Will give brainlists
Unit 1 Test Physical Science need this to help my grade
Answer:
0.95 metre
Explanation:
divide the value in centimeters by 100 because 1 meter equals 100 centimeters.
So, 95 centimeters = 95/100
= 0.95 meter.
6. Given cost=0 € (2): a) Determine sin28 b) Which quadrant does sin20 lie and what is the angle to the nearest tenth of a degree? Q
Since cost = 0 €, the value of sinθ will be 1. Recall that the Pythagorean identity for sine and cosine states that sin²θ + cos²θ = 1. So, sin²θ = 1 - cos²θ. Given cost=0 €,cosθ=0. Substituting cosθ = 0, we get;sin²θ = 1 - cos²θ. sin²θ = 1 - 0² = 1Therefore,sinθ = √1 = 1
This means that sin28 = 1 Since sin20 lies in the first quadrant (0° to 90°), it will have a positive value. To determine sin20, we can use a calculator or reference a trigonometric table. To the nearest tenth of a degree, sin20 is 0.3 and it lies in the first quadrant.
An identity that expresses the Pythagorean theorem in terms of trigonometric functions is known as the Pythagorean trigonometric identity, or simply the Pythagorean identity. It is one of the fundamental relations between the sine and cosine functions, along with the sum-of-angles formulas. The angle can be any real value, and the equation is s i n 2 + c o s 2 = 1. Given both the sine value and the quadrant in which the angle is located, we can use the Pythagorean identity to determine the angle of cosine.
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HEELLLLLPPPPPPPPPPPP MEEEEEEEEEE!!!!!!!!!!!!
Which statement best describes the thermosphere?
The thermosphere sits directly below the troposphere.
Lighter gases such as nitrogen and oxygen rise to the top of the thermosphere.
Heavier gases such as hydrogen and helium stay at the bottom of the thermosphere.
The atmosphere is so thin that gas molecules rarely contact each other.
Answer:
I think the second one
Explanation:
its the only one that makes since tell me if I'm wrong
Answer:
the answer is "The atmosphere is so thin that gas molecules rarely contact each other."
Explanation: just took the semester test
what is the moment of inertia about the cm? what is the moment of inertia about an axis through the pivot?
The moment of inertia,I of this assembly about the axis through which it is pivoted is \(I=x^2(m_1+m_2+\frac{m_r}{3})\)
From figure,
we can observe that the data,
\(m_1\) = sphere 1's mass
\(m_2\) = sphere 2's mass
\(m_r\) = the weight of the rod
x= the distance between sphere 1 and pivot
x= the distance between sphere 2 and pivot
2x = total length of the rod
We must determine the expression of the sphere's moment of inertia and the expression of the rod's moment of inertia.
The formula for moment of inertia of sphere is expressed as,
\(I=mr^2...i\)
Where, m=mass of sphere
r=distance between sphere and pivot
The formula for moment of inertia of rod can be expressed as ,
\(I=\frac{ml^2}{12}....ii\)
Where,
m=mass of rod
l=length of the rod
Substituting the values of sphere 1 and sphere 2 in the eq. i,
\(I_1=m_1x^2\\\\I_2=m_2x^2\)
substitute the values of rod in the moment of inertia in eq.ii
\(I_r=\frac{m_r(2x)^2}{12}\\\\I_r=\frac{4m_rx^2}{12}\\\\I_r=\frac{m_rx^2}{3}\)
Now, the total moment of inertia is the sum of all the inertias of spheres and the rod,
\(I=I_1+I_2+I_r\\\\I=m_1x^2+m_2x^2+\frac{m_rx^2}{3}\\\\I=x^2(m_1+m_2+\frac{m_r}{3})\)
Hence, the moment of inertia of the whole assembly is \(I=x^2(m_1+m_2+\frac{m_r}{3})\)
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Your question is incomplete, here is the complete question
what is the moment of inertia i of this assembly about the axis through which it is pivoted? express the moment of inertia in terms of mr , m1 , m2 , and x . keep in mind that the length of the rod is 2x , not x .
two basic types of friction include?
The dimensional formula for specific latent heat is
Answer:
The dimensional formula for specific latent heat is L²/T²
Explanation:
The unit of specific latent heat is J/kg
Determine the moment of resistance (MOR) of a reinforced concrete beam of 300 mm width &600 mm Effective depth, if it is reinforced with 4 bars of 20 mm diameter (use M20 concrete \& fe 415 steel)
The moment of resistance (MOR) of the reinforced concrete beam is approximately 1249.548 kN-m.
To determine the moment of resistance (MOR) of a reinforced concrete beam, we need to consider the properties of the concrete and steel reinforcement, as well as the dimensions of the beam.
Given:
Width of the beam (b) = 300 mm
Effective depth of the beam (d) = 600 mm
Number of reinforcement bars (n) = 4
Diameter of each reinforcement bar (diameter) = 20 mm
Concrete grade (M20) - Assuming a characteristic compressive strength of 20 MPa
Steel grade (Fe 415) - Assuming a characteristic yield strength of 415 MPa
Calculate the area of steel reinforcement:
Area of each reinforcement bar (A) = (π/4) × \((diameter)^2\)
Total area of steel reinforcement (As) = n × A
Calculate the moment of resistance (MOR) using the formula:
MOR = (0.87 × As × fy × (d - (0.42 × d)) / 1000
where:
fy = Characteristic yield strength of the steel reinforcement
Substitute the given values into the formula to calculate the MOR:
As = 4 × (π/4) × \((20 mm)^2 = 1256 mm^2\)
fy = 415 MPa
d = 600 mm
MOR = (0.87 × \(1256 mm^2\) × 415 MPa × (600 mm - (0.42 × 600 mm))) / 1000
MOR = 1,249,548 N-mm or 1249.548 kN-m
Therefore, the moment of resistance (MOR) of the reinforced concrete beam is approximately 1249.548 kN-m.
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An object is traveling at a constant velocity of 11 m/s when it experiences a constant
acceleration of 1.5 m/s? for a time of 14 s. What will its velocity be after that acceleration?
what is the official meteorological term for a bomb cyclone?
The meteorological term used for the bomb cyclone is bombogenesis.
Bomb cyclones, also known as bomb arches, are rapidly developing storms that form when atmospheric pressure drops by at least 24 millibars in 24 hours, notes the National Oceanic and Atmospheric Administration online. The term "bombing cyclone" is coming from the meteorological term "bombogenesis" or also called an "explosive cyclone". This occurs when the central pressure of the storm system drops by at least 24 numbers in 24 hours. Some Storm systems develop rapidly, sometimes taking hours or even a day. When this happens, the system becomes very violent and can have a variety of effects. Storms that intensify very quickly are called "bomb cyclones," "weather bombs," or "bombs."
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Why is harmonic motion periodic?
Answer:
A net restoring force then slows it down until its velocity reaches zero, whereupon it is accelerated back to the equilibrium position again. As long as the system has no energy loss, the mass continues to oscillate. Thus simple harmonic motion is a type of periodic motion.
A jet airliner moving initially at 701 mph to the east where there is no wind moves into a region where the wind is blowing at 848 mph in a direction 13◦ north of east.
What is the new speed of the aircraft with respect to the ground? (b)What is the direction of the aircraft (use coun- terclockwise from due East as the positive an- gular direction, between the limits of −180◦ and +180◦)? HELP WITH PART B
(a) The new speed of the aircraft with respect to the ground is 1,539.13 mph.
(b) The direction of the aircraft is 7⁰ north east.
Resultant speed of the aircraft
The new speed of the air craft is the resultant speed of the aircraft and it is calculated as follows;
R² = A² + B² - 2AB cos(R)
where;
θ is the direction of the air craft measured counter clock wiseSum of the speed in the horizontal directionA = 701 mph + 848 cos(13)
A = 1,527.266 mph
Sum of the speed in the vertical directionB = 848 x sin(13)
B = 190.76 mph
Resultant speedR = √(A² + B²)
R = √[(1,527.66²) + (190.76²)]
R = 1,539.13 mph
Direction of the aircraftθ = arc tan (y/x) = arc tan (B/A)
θ = arc tan (190.76/1527.66)
θ = 7⁰ north east (measured anticlockwise)
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why do nebulae near hot stars look red? why do dust clouds near stars usually look blue?
Nebulae are red because of the Balmer line, which is created when ionized hydrogen catches an electron and turns back into neutral hydrogen. Ionized hydrogen, which is abundant in nebulae.
What is a nebulae simple definition?In space, a supernova is a huge cloud of gas and dust. Some nebulae, including multiple nebulae, are made of gas and dust that have been released from the exploding of a dead star called a supernova. There are other nebulae that are star-forming regions.
What is Nebula Theory?The nebular theory proposes that a swirling cloud of dust, known as a nebula, composed primarily of light components, condensed into a planetary nebula, and eventually developed into a solar system made up of a star and planets in orbit.
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Object X and object Y, of charge +Q and −2Q, respectively, are separated by a distance r0, as shown in the figure.
(a) Determine an equation for the magnitude and direction of the electric force that is exerted on object Y from object X in terms of Q, r0, and physical constants, as appropriate.
(b) The charge of object X is changed so that it has a charge of −4Q, and the separation distance between the two objects is changed to 2r0. In a clear, coherent paragraph-length response that may also contain figures and/or equations, predict how the electric force exerted on object Y from object X changes from part (a), and predict how the net charge of the two object system changes from part (a).
Answer:
(a) The magnitude of the force electric force F = k ×(+Q) × (-2·Q)/r₀² = -2·Q²/(r₀²) which can be written as follows;
\(F = \dfrac{k \times (+ Q) \times (-2\cdot Q)}{r_0^2} = -\dfrac{k \times 2 \times Q^2}{r_0^2}\)
Given that the charge of Y is twice the charge on X, we have the charge X will move towards the charge Y which is the +x direction
(b) The force, F, acting between the charges is given as follows;
\(F = \dfrac{k \times Q_1 \times Q_2}{r_0^2}\)
When, Q₁ = X = -4Q, Q₂ = Y = -2Q, and r₀ = 2·r₀ we have;
\(F = \dfrac{k \times (-4\cdot Q) \times (-2\cdot Q)}{(2 \cdot r_0)^2} = \dfrac{k \times 8 \times Q^2}{4 \cdot r_0^2} = \dfrac{k \times 2 \times Q^2}{r_0^2}\)
Therefore, the electric force exerted on object Y by the object X is the same and acts in an opposite direction to the force of X on Y in (a)
The net charge of the two objects in part (a) is Q - 2Q = -Q
The net charge of the two objects in part (b) is -4Q - 2Q = -6Q
Therefore, the net charge increases by a factor of 6 in part (b)
Explanation:
Someone please help me with finding the resistance of these circuits! I've been asking for an hour now. I will give brainliest if right!
Answer:
1. 59 Ω
2. 3 Ω
3. 0.625 kΩ
Explanation:
1. The total resistance in a series circuit is equal to the sum of the resistance.
\(R_T=R_1+R_2+R_3...\\R_T=20+19+20\\R_T=59\)
Therefore, the total resistance in the first circuit is 59 Ω.
2. The total resistance in a parallel circuit is equal to the sum of the reciprocals of the resistance.
\(\frac{1}{R_T} = \frac{1}{R_1} +\frac{1}{R_2} +\frac{1}{R_3} ...\\\frac{1}{R_T} = \frac{1}{6.0} +\frac{1}{12} +\frac{1}{36}+\frac{1}{18} \\\frac{1}{R_T} = \frac{1}{3} \\R_T=3\)
Therefore, the total resistance in the second circuit is 3 Ω.
3. This is another parallel circuit, so we use the same equation from above:
\(\frac{1}{R_T} = \frac{1}{R_1} +\frac{1}{R_2} +\frac{1}{R_3} ...\\\frac{1}{R_T} = \frac{1}{10} +\frac{1}{2} +\frac{1}{1} ...\\\frac{1}{R_T} =1.6\\R_T=\frac{1}{1.6}\)
Therefore, the total resistance in the third circuit is \(\frac{1}{1.6}\) kΩ, or 0.625 kΩ.
I hope this helps!
What does the slope of a position-time graph measure?
The number of valence electrons in neutral atoms equals the atom's main group number. A periodic table column can be used to determine an element's main group number.
What is the meaning of a position time graph?The position-time graph depicts the movement of an item across time. Time in seconds is traditionally represented on the x-axis, while object location in metres is plotted along the y-axis. The slope of the position-time graph offers vital information about the object's velocity.
Gravity causes objects in free fall to accelerate. As a result, the free fall motion position-time graph must be curved. This means that objects in free fall begin with a moderate velocity and gradually accelerate, as illustrated by the graph's steep downward curve.
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Because they sit high up, truck drivers have excellent visibility
Choose matching definition
a. ahead
b. advance
c. forward
d. left
Because they sit high up, truck drivers have excellent visibility (option c) forward.
The statement suggests that truck drivers have a good view of the road and surroundings in the direction they are moving, which is forward.
The high position of the driver's seat in trucks provides an advantageous vantage point, allowing them to see the road ahead clearly and have a better perspective of the traffic conditions.
Sitting higher than most vehicles on the road, truck drivers benefit from an elevated position that enhances their field of vision.
This elevated viewpoint allows them to have a broader and clearer view of the road, enabling them to anticipate and react to potential hazards or obstacles in advance.
The improved visibility from the elevated seat position helps truck drivers make informed decisions while driving and enhances overall safety.
In conclusion, the phrase "truck drivers have excellent visibility because they sit high up" suggests that the excellent visibility is primarily in the forward direction, providing them with a clear view of the road and surroundings ahead.
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What are voltage and current in electricity?
Answer:
Voltage, electric potential difference, electric pressure or electric tension is the difference in electric potential between two points, which is defined as the work needed per unit of charge to move a test charge between the two points.
An eccentric inventor attempts to levitate by first placing a large negative charge on himself and then putting a large positive charge on the ceiling of his workshop. Instead, while attempting to place a large negative charge on himself, his clothes fly off. Explain.
Answer:
shirt is little attached to the body, it can come off and fly away
Explanation:
In electrostatics, charges of different signs attract and charges of the same sign repel.
In this case, when a negative charge is placed on it, both the inventor and the shirt are charged, therefore there is a repulsive force, also there is an attraction between the positive charge of the roof attracts the negative charge, such as the shirt. of weak the two forces not greater than the resistance of the walk.
As the shirt is little attached to the body, it can come off and fly away
Calculate the mass (in kg) of 54.3 m³ of granite. The density of granite is 2700 kg/m³. (Remember: density = mass / volume)
To determine the mass of granite, we must first understand the definition of density. Density is defined as the amount of matter present in a substance per unit volume.
We use the formula: density = mass/volume to calculate the mass of a substance given its density and volume. To calculate the mass of 54.3 m³ of granite, we use the following steps:
Given Density of granite = 2700 kg/m³Given volume of granite = 54.3 m³Let us substitute the values in the formula of density:density = mass/volume Solving for mass, we get:mass = density × volume Substitute the given values of density and volume into the formula:mass = 2700 kg/m³ × 54.3 m³
The m³ unit in the volume cancels out, leaving us with kg as the unit for mass.
We then solve the equation to get the mass:mass = 146,610 kg
Therefore, the mass of 54.3 m³ of granite is 146,610 kg.
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A light, inextensible cord passes over a light,
frictionless pulley with a radius of 14 cm. It
has a(n) 14 kg mass on the left and a(n)
8.6 kg mass on the right, both hanging freely.
Initially their center of masses are a vertical
distance 1.9 m apart.
The acceleration of gravity is 9.8 m/s².
A light, inextensible cord passes over a light, frictionless pulley with a radius of 8.9 cm. It has a 19 kg mass on the left and a 2.6 kg mass on the right, both hanging freely. The rate at which the two masses are accelerating when they pass each other is 7.44 m/s². The tension in the cord is 44.84 N.
What is tension of wire ?
In physics, tension is the force exerted on one or more bodies by ropes, cords, cables, or similar bodies. Anything that is pulled, hung, supported, or swung by a rope, cord, cable, etc., is subject to tension. Like all forces, stress can accelerate or deform objects.
Using Newton's Law to the mass m₁
m₁ g - T = m₁ a
where;
the tension T = m₁ (g -a) ----- Let this be equation (1)
For mass m₂,
T - m₂ g = m₂ a ------- Let this be equation (2)
equation both equation (1) and (2) together;
By rearrangement and collecting like terms;
a(m₂ + m₁) = g(m₁ - m₂)
Making acceleration (a) the subject of the formula:
a = 7.44 m/s²
According to equation (1), the cord's tension is:
Tension (T) = m1 (g -a)
T = 19(9.8 - 7.44) (9.8 - 7.44)
T = 19(2.36) (2.36)
T = 44.84 N
From this we can conclude that the speed at which the two masses accelerate as they pass each other is 7.44 m/s² and the tension in the cord as they pass is 44.84 N.
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What is the average speed of the tiger between the times t = 0s and t
= 12 s?
Choose 1 answer:
m
(A
6
S
m
B
-0.33
s
m
S
0.33
S
Answer:
A.6s
Explanation:
Average time=
\(average time \: t = \frac{t1 + t2}{2 } \\ \frac{0 + 12}{2} \\ \frac{ 12}{2} \\ t = 6s\)
(8%) problem 16: suppose you have a lens system that is to be used primarily for 695 nm red light. show answer no attempt what is the second thinnest coating of magnesium fluorite, which has an index of refraction of n
The second thinnest coating of magnesium fluoride for a lens system primarily used for 695 nm red light is approximately 503 nm.
Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
To determine the second thinnest coating of magnesium fluoride for a lens system primarily used for 695 nm red light, we will use the formula for thin film interference:
t = (mλ) / (2n)
where t is the thickness of the coating, m is the order of interference (1 for the thinnest coating, 2 for the second thinnest, etc.), λ is the wavelength of light (695 nm), and n is the index of refraction of MgF₂.
For the second thinnest coating (m=2), we can calculate the thickness:
t = (2 * 695 nm) / (2 * 1.38) ≈ 503 nm
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an amusement park ride has two identical carriages that revolve around the center of the ride’s axle, as shown in the figure. both carts travel at a constant tangential speed at all points along the circular path. at what position is the total mechanical energy of the cart-cart-earth system at its maximum value?
The principle of conservation of energy allows to find the result for the mechanical energy of the system is:
Mechanical energy is conserved at all points, therefore at all points it has the same value.
Mechanical energy is defined by the sum of the kinetic energy and the potential energies.
Em = K + U
In the principle of energy conservation, it establishes that energy cannot be created or destroyed, it is only transformed, in the case of no friction, mechanized energy is conserved at all points.
They indicate that the system is rotating, which is why it is subjected to a force that expends its energy in changing the direction of the speed to keep the system in rotation, so the speed of the system remains constant.
Em = K = ½ I w²
Consequently, using the principle of conservation of energy we can find the result for the mechanical energy of the system is:
Mechanical energy is conserved at all points, therefore at all points it has the same value.
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fill in the blanks
a. Work is assosiated with ___________ and _________ .
Answer: Job and career
Explanation:
Work is associated with job and career. If somebody is having a great career and if somebody wants a great career he will look for a job that is fitting his career and in that way, he will work for it to have an even better career which will bring him a better job.
A book of mass 0.4 kg is pushed to the left across a table with a force of 2.4 N. Kinetic friction provides a force of magnitude 0.8 N.
What is the normal force acting on the book? N
If a book of mass 0.4 kg is pushed to the left across a table with a force of 2.4 N. Kinetic friction provides a force of magnitude 0.8 N, then the normal force acting on the book would be 3.92 Newtons.
What is friction?Friction is a type of force that resists or prevents the relative motion of two physical objects when their surfaces come in contact.
As given in the problem If a book of mass 0.4 kg is pushed to the left across a table with a force of 2.4 N. Kinetic friction provides a force of magnitude 0.8 N,
The normal force = m × g
= 0.4 × 9.8
= 3.92 Newtons
Thus, the normal force acting on the book would be 3.92 Newtons.
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Nicole throws a ball at 25 m/s at an angle of 60 degrees abound the horizontal. What is the range of the ball?
Answer:
the range or the ball is 48.81 m
Explanation:
given;
Nicole throws a ball at 25 m/s at an angle of 60 degrees abound the horizontal.
find:
What is the range of the ball?
solution:
let Ф = 25°
Vo = 25 m/s
consider x-motion using time of fight: x = Vox * t
where x = R = range
t = 2 Voy
g
R = Vo² sin (2Ф)
g
plugin values into the formula:
R = (25)² sin (2*25)
9.81
R = 48.81 m
therefore, the range or the ball is 48.81 m
4.8miliseconds broooo.
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Extra info related to the question :-
What is a rationlising factor ?
If the product of two irrational numbers is a rational number then each of the the two is rationalising factor of the other.
What is the purpose of rationilising the denominator ?
If the denominator of a fraction is irrational it is somewhat difficult to locate the fraction on number line. So, to make it easy we need to rationalise the denominator.
How to rationalise the denominator ?
1) Consider the denominator of the fraction.
2) Then multiply the numerator and denominator with rationalising factor of the denominator.
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A uniform magnetic field B has a strength of 5.5 T and a direction of 25.0° with respect to the +x-axis. A proton (1.602e-19)is traveling through the field at an angle of -15° with respect to the +x-axis at a velocity of 1.00 ×107 m/s. What is the magnitude of the magnetic force on the proton?
The magnitude of the magnetic force on the proton is 4.31 × 10⁻¹¹ N.
Given values: B = 5.5 Tθ = 25°q = 1.602 × 10⁻¹⁹ VC = 1.00 × 10⁷ m/s Formula: The formula to calculate the magnetic force is given as;
F = qvBsinθ
Where ;F is the magnetic force on the particle q is the charge on the particle v is the velocity of the particle B is the magnetic field strengthθ is the angle between the velocity of the particle and the magnetic field strength Firstly, we need to determine the angle between the velocity vector and the magnetic field vector.
From the given data, The angle between velocity vector and x-axis;α = -15°The angle between magnetic field vector and x-axis;β = 25°The angle between the velocity vector and magnetic field vectorθ = 180° - β + αθ = 180° - 25° - 15°θ = 140° = 2.44346 rad Now, we can substitute all given values in the formula;
F = qvBsinθF
= (1.602 × 10⁻¹⁹ C) (1.00 × 10⁷ m/s) (5.5 T) sin (2.44346 rad)F
= 4.31 × 10⁻¹¹ N
Therefore, the magnitude of the magnetic force on the proton is 4.31 × 10⁻¹¹ N.
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A child approaches a stop sign and applies the brakes to slow to a stop. If the bicycle and child were originally traveling at 9.00 m/s and the breaks cause a deceleration of magnitude 1.20 m/s^2, how long will it take the child to stop?
Answer:
7.5secs
Explanation:
Using the equation of motion
v = u + at
v is the final velocity = 0m/s
u is the initial velocity = 9m/s
a is the deceleration = -1.2m/s²
t is the required time
Substitute;
0 = 9 + 1.2(t)
-9 = -1.2t
t = -9/-1.2
t = 7.5secs
hence it takes the child 7.5secs to stop
39
WERELAIS
01:21:51
Which type of reaction is C2H2011 - 12C + 11H202
O synthesis
decomposition
O oxidation
combustion
Answer:
A
Explanation:
synthesis decompostion
Answer:
Decompositon
Explanation:
What is the gas constant R in kJ?
Typically, units of J/molK are used to denote the gas constant R. (joules per mole per kelvin). But, by dividing by 1000, it can be changed to kJ/molK (kilojoules per mole per kelvin) units.
A fundamental physical constant that connects the characteristics of gases to one another is called the gas constant (symbolised as R). It is a proportionality constant that is mentioned in the ideal gas law, which defines how gases behave under conditions of high temperature and low pressure. According to the gas constant, which has an estimated value of 8.314 joules per mole per Kelvin (J/mol*K), a mole of gas has a volume of roughly 22.4 litres at standard temperature and pressure. To determine a gas's pressure, volume, temperature, and number of moles, the gas constant is frequently used in thermodynamics, chemistry, and physics. It is a fundamental constant that is essential to our comprehension of how gases behave.
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