Answers
The given problem can be exemplified in the following diagram:
In the diagram we have the following forces:
\(\begin{gathered} F=\text{ pushing force} \\ F_x=\text{ x-component of the force} \\ F_y=\text{ y-component of the force} \\ N=\text{ normal force} \\ F_f=\text{ friction force} \\ W=\text{ weight} \end{gathered}\)Now we will determine the value of the acceleration of the box. To do that we will add the forces in the horizontal direction:
\(\Sigma F_h=F_x-F_f\)According to Newton's second law we have that the sum of forces must be equal to the product of the mass and the acceleration:
\(F_x-F_f=ma\)To determine the value of the friction force we use the following relationship:
\(F_f=\mu N\)To determine the value of the normal force we add the forces in the vertical direction:
\(\Sigma F_v=N-F_y-W\)Since there is no movement in the vertical direction we have:
\(N-F_y-W=0\)Now we solve for the normal force:
\(N=F_y+W\)To determine the vertical component of the force we use the right triangle shown in the diagram. We use the function sine and we get:
\(\sin 35.7=\frac{F_y}{F}\)Now we multiply both sides by "F":
\(F\sin 35.7=F_y\)Now we substitute this value in the formula for the normal force:
\(N=F\sin 35.7+W\)Now we substitute this value in the formula for the friction force:
\(F_f=\mu(F\sin 35.7+W)\)Now we substitute this value in the formula for the horizontal forces:
\(F_x-\mu(F\sin 35.7+W)=ma\)Now, to determine the horizontal component of the force we use the function cosine:
\(\cos 35.7=\frac{F_x}{F}\)Now we multiply both sides by "F":
\(F\cos 35.7=F_x\)Now we substitute in the sum of horizontal forces:
\(F\cos 35.7-\mu(F\sin 35.7+W)=ma\)Now we solve for "a" by dividing both sides by "m":
\(\frac{F\cos 35.7-\mu(F\sin 35.7+W)}{m}=a\)To determine the mass we use the formula for the weight:
\(W=mg\)Where:
\(g=\text{ acceleration of gravity}\)Now we divide both sides by "g";
\(\frac{W}{g}=m\)Now we substitute the values:
\(\frac{(401N)\cos 35.7-(0.587)(401N\sin 35.7+245N)}{\frac{245N}{9.8\frac{m}{s^2}}}=a\)Solving the operations we get:
\(1.779\frac{m}{s^2}=a\)Now, we will determine the final velocity of the movement. We will use the following equation of motion:
\(2ad=v^2_f-v^2_0\)Since the box starts from rest this means that the initial velocity is zero:
\(2ad=v^2_f\)Now we take the square root to both sides:
\(\sqrt[]{2ad}=v_f\)Now we substitute the values:
\(\sqrt[]{2(1.779\frac{m}{s^2})(3.37m)}=v_f\)Solving the operations:
\(3.46\frac{m}{s}=v_f\)Now we use the following equation of motion to determine the time:
\(v_f=v_0+at\)Since the initial velocity is zero:
\(v_f=at\)Now we divide by the acceleration:
\(\frac{v_f}{a}=t\)Substituting the values:
\(\frac{3.46\frac{m}{s}}{1.779\frac{m}{s^2}}=t\)Solving the operations:
\(1.94s=t\)Therefore, it takes the box 1.94 seconds to move.
Related Questions
A dog runs 51 m west to fetch a ball and brings it back only 27 m before stopping.
The total displacement of the dog is:
Answers
Why does Chelsea see sparks as she removes her clothes from the clothes dryer?
conduction
induction
static discharge
static electricity
Answers
Answer:
Your answer is static discharge
Explanation:
Your negatively charged hand repels electrons in the metal, so the electrons move to the other side of the knocker. ... This allows electrons to suddenly flow from your hand to the knocker. The sudden flow of electrons is static discharge. The discharge of electrons is the spark you see and the shock you feel. I hope this helps, ( the other answer said static electricity which is wrong.) :)
Answer:
C
Explanation:
In a game of basketball, a forward makes a bounce pass to the center. The ball is thrown with an initial speed of 4.4 m/s at an angle of 15∘ below the horizontal. It is released 0.70m above the floor.
What horizontal distance does the ball cover before bouncing?
Answers
Horizontal distance the ball covers before bouncing = 2.29 m
What is projectile motion?When a particle is thrown obliquely near the earth’s surface, it moves along a curved path under constant acceleration directed towards the center of the earth. The path of such a particle is called a projectile, and the motion is called projectile motion.
Given,
initial speed v = 4.4 m/s
Angle of projection θ = 15°
Height from the floor y = 0.70 m
Equation of trajectory:
y = x tanθ +/- gx²/2v²(cosθ)²
where
y is the vertical distance
x is the horizontal distance
θ is the angle of projection
g is 9.8 m/s²
v is the initial velocity
Since the angle is below horizontal, vertical displacement would be negative.
Substituting the values:
- 0.8 = xtan15° - (9.8)x²/[2(4.4)²(cos15°)²]
Solving for x,
- 0.8 = x(0.268) - (9.8)x²/[2(4.4)²(0.966)²]
- 0.8 = x(0.268) - (9.8)x²/[2(4.4)²(0.966)²]
- 0.8 = x(0.268) - (9.8)x²/36.1318
- 0.8 = x(0.268) - 0.27 x²
0.27x² - 0.268x - 0.8 = 0
Solving the quadratic equation,
x = 2.29
x = - 1.30
Distance should be positive.
Hence, ball covered 2.29 m horizontal distance before bouncing.
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A 5kg object accelerates from 3m/s to 7m/s in 5 seconds. Calculate the force required
to provide this acceleration.
Answers
Answer:
4N
Explanation:
a = (7-3)/5 = 0.8m/s^2
F = ma = (5)(0.8) = 4 Newtons
Water flows through a pipe of
radius 0.0250 m at 1.50 m/s.
What is the Volume Flow Rate?
(Keep 3 sig figs.)
(Unit=m^3/s)
Help please
Answers
Q = A * v
where A is the cross-sectional area of the pipe and v is the velocity of water.
The cross-sectional area of the pipe can be calculated using the formula for the area of a circle:
A = πr^2
where r is the radius of the pipe.
Substituting the given values, we get:
r = 0.0250 m
A = π(0.0250 m)^2 = 0.0019635 m^2
v = 1.50 m/s
Now, we can calculate the volume flow rate:
Q = A * v = 0.0019635 m^2 * 1.50 m/s = 0.002944 m^3/s
Rounding off to 3 significant figures, the volume flow rate is 0.00294 m^3/s.
What unit of measure is used to measure temperature?
a. Joules
b. Fahrenheit
c. Meters
d. Liters
Answers
Answer:
B. Fahrenheit measures temperature!
A contractor wants to install ceramic tile in a kitchen of length 9.05 m and width 5.9 m. What is the area of the room (in m^2)? Express your answer using the proper number of significant figures.
Answers
Answer:
53. 4 m ^2
Explanation:
You are given two 'm' measurements and need to find m^2
m X m = m^2 as below:
9.05 m X 5.9 m = ~ 53.4 m^2
An object of height 5cm is placed 20cm in front of pin hole camera from a cubic box of side 6cm . Determine the height of the image formed
Answers
The Short Answer:
Earth's tilted axis causes the seasons. Throughout the year, different
parts of Earth receive the Sun's most direct rays. So, when the North
Pole tilts toward the Sun, it's summer in the Northern Hemisphere. And
when the South Pole tilts toward the Sun, it's qvinter in the Northern
Hemisphere.
1. What direction is the Earth tilted in the summer here in
Buffalo?
a) towards the Sun
b) away from the Sun
23.5
Answers
Answer:
I cannot fully see the picture, but I'm going to have to tell you to go with towards the sun because it says summer.
the principal quality Criterion of natural gas is its heating value in the total calorific (heating) value of fuel gas produced or solid in natural gas is 1150 BTU / standard ft(exponent3).how much energy can a tank with a volume of 59.4 cubic ft produce? (this is the question)I just need a brief explanation with answer
Answers
If the energy generated by the natural gas is 1150 BTUs for each cubic foot of gas, we can find the amount of energy in a tank with 59.4 cubic feet of gas by multiplying this volume by the amount of heat generated per cubic foot:
\(Energy=1150\frac{\text{ BTU}}{ft^3}\cdot59.4\text{ }ft^3=1150\cdot59.4\text{ BTU}=68310\text{ BTUs}\)Therefore the amount of energy that can be produced is 68,310 BTUs.
Do electromagnetic waves occur in a continuous spectrum based on their wavelength?
Answers
Answer: Yes
Explanation: Because Electromagnetic waves form a continuous spectrum and all types of electromagnetic wave travel at the same velocity through a vacuum (space) or air. The waves that form the electromagnetic spectrum are grouped in terms of their wavelength and their frequency.
Both carts start from rest, their change in momentum will be equal to their final momentum. according to newton's second law, the same force applied to the two carts results in for the plastic cart compared to the lead cart, which means the plastic cart will travel the distance of 1 m in time interval compared to the lead cart. therefore, from the momentum principle the plastic cart will have final momentum, compared to the lead cart.
Answers
The impulses and changes in momentum are identical because equal forces are applied over equal periods of time.
The momenta of the two carts are identical since they both begin at rest and experience equal changes in momentum. We are aware that force is the same as mass multiplied by acceleration. Due to the initial resting state of both carts, u = 0 m/s, and the plastic cart moves 1 m. Newton's second law states that when the same force is applied to the two carts, the plastic cart will have more final momentum than the lead cart because of the momentum principle. Newton's third law states that every object feels the same force for the same length of time, which results in the same impulse and consequent change in momentum.
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Due to equivalent forces being delivered over equal times, the impulses and changes in momentum are identical.
What occurs to the cart's acceleration when the force being applied to it is doubled?The acceleration is determined by dividing the net force by the mass. An object's acceleration doubles if the net force exerted on it also doubles. Increased mass will result in a halving of acceleration.
What is the second law of Newton?Second Law of Motion: Force In accordance with his second law, a force is defined as the change in momentum (mass times velocity) per change in time. The definition of momentum is the product of the mass m and the velocity V of an object.
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In which circuit would ammeter A shows the greatest current?
Answers
In the circuit with two 10Ω resistors in parallel, ammeter A would show the greatest current. This is because, in a parallel circuit, the total resistance is lower than in a series circuit, which means that the current can flow more easily.
In this case, the two 10Ω resistors in parallel create a total resistance of 5Ω (1/Rtotal = 1/10 + 1/10 = 2/10, Rtotal = 10/2 = 5), while in the series circuit,https://brainly.com/question/11409042?referrer=searchResults the total resistance would be 20Ω (10 + 10). Ohm's law states that the current is directly proportional to the voltage and inversely proportional to the resistance, so the circuit with lower resistance will allow for greater current flow.
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--The complete Question is, In which circuit would ammeter A show the greatest current: a circuit with one 6V battery and two 10Ω resistors in parallel or a circuit with one 6V battery and two 10Ω resistors in series? --
QUESTION 3 (Start on a new page.)
A small disc, C, is thrown vertically upwards at a speed of 15 m-s¹ from the edge of
the roof of a building of height 30 m. AFTER 0,5 s, a small ball B is shot vertically
upwards from the foot of the building at a speed of 40 m-s in order to hit disc C.
Ignore the effects of air resistance.
3.1
3.2
3.3
15 m-s¹
30 m
Explain the term projectile.
Calculate the:
40 m-s¹
B
3.2.1
Time taken by disc C to reach its maximum height
3.2.2
Maximum height above the ground reached by disc C
Calculate the time from the moment that disc C was thrown upwards until
the time ball B hits the disc..
(2)
(3)
(4)
(6)
Answers
A projectile is an object thrown into the air and subject only to gravity and, if applicable, air resistance. The time taken by disc C to reach its maximum height is approximately 1.53 seconds, and its maximum height above the ground is around 11.48 meters. The time from when disc C was thrown upwards until ball B hits the disc is roughly 1.29 seconds.
3.1 Explanation of the term projectile:
A projectile refers to an object that is launched or thrown into the air and is subject only to the forces of gravity and air resistance (if applicable). The motion of a projectile can be analyzed independently of its mass, shape, or any other physical property. The key characteristic of a projectile is that it follows a curved path known as a trajectory.
When a projectile is launched, it moves along a parabolic trajectory due to the combination of its initial velocity and the force of gravity acting vertically downward. The horizontal motion of a projectile remains constant and unaffected by gravity, while the vertical motion is influenced by the acceleration due to gravity.
The path of a projectile can be described mathematically by considering its initial velocity, angle of projection, and the acceleration due to gravity. Projectile motion finds applications in various fields, such as sports, engineering, and physics, where objects are launched or thrown.
3.2.1 Time taken by disc C to reach its maximum height:
To determine the time taken by disc C to reach its maximum height, we can use the kinematic equation for vertical motion. The equation is:
vf = vi + at
Where:
vf = final velocity (which is zero at the maximum height)
vi = initial velocity
a = acceleration (in this case, acceleration due to gravity, -9.8 m/s²)
t = time
Since the disc is thrown vertically upwards, its initial velocity is 15 m/s. We want to find the time it takes for the disc to reach its maximum height, so we'll use the equation and solve for time (t):
0 = 15 + (-9.8)t
Rearranging the equation, we get:
9.8t = 15
t = 15 / 9.8
Calculating this, we find:
t ≈ 1.53 seconds
Therefore, it takes approximately 1.53 seconds for disc C to reach its maximum height.
3.2.2 Maximum height above the ground reached by disc C:
To determine the maximum height reached by disc C, we can use another kinematic equation for vertical motion:
vf² = vi² + 2ad
Where:
vf = final velocity (which is zero at the maximum height)
vi = initial velocity
a = acceleration (in this case, acceleration due to gravity, -9.8 m/s²)
d = displacement (maximum height)
Since we know the initial velocity (vi) and acceleration (a), we can solve for the displacement (d), which represents the maximum height:
0² = 15² + 2(-9.8)d
Rearranging the equation, we get:
0 = 225 - 19.6d
19.6d = 225
d = 225 / 19.6
Calculating this, we find:
d ≈ 11.48 meters
Therefore, the disc C reaches a maximum height of approximately 11.48 meters above the ground.
Calculating the time from the moment that disc C was thrown upwards until the time ball B hits the disc:
To find the time it takes for ball B to hit disc C, we need to calculate the time it takes for both objects to reach the same height.
Since disc C was thrown upwards from the edge of the roof and ball B was shot vertically upwards from the foot of the building, we need to consider the additional height of the building (30 meters).
The time it takes for disc C to reach the ground is the same as the time it takes for ball B to reach a height of 30 meters above the ground.
Using the kinematic equation for vertical motion, we can calculate the time for ball B:
d = vit + 0.5at²
Where:
d = displacement (30 meters)
vi = initial velocity (40 m/s)
a = acceleration (acceleration due to gravity, -9.8 m/s²)
t = time
30 = 40t + 0.5(-9.8)t²
Rearranging the equation, we get:
4.9t² + 40t - 30 = 0
Solving this quadratic equation, we find:
t ≈ 1.29 seconds or t ≈ -5.82 seconds
Since time cannot be negative in this context, we discard the negative solution.
Therefore, it takes approximately 1.29 seconds from the moment that disc C was thrown upwards until ball B hits the disc.
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Scientists launch a rocket, and they monitor its acceleration and the force exerted by its engines. As the rocket gets higher, the monitors show that the acceleration of the rocket is increasing but the force exerted stays the same. How do Newton’s laws explain why the scientists could expect this to happen? The total force stays the same, but the action force is increasing as the reaction decreases. The mass of the rocket decreases as fuel is burned, so the acceleration increases. The inertia of the rocket increases, which reduces the force needed to change its speed. The reaction force is increasing as fuel is burned, which causes a greater acceleration.
Answers
Newton’s laws explain why scientists could expect this to happen , The mass of the rocket decreases as fuel is burned, so the acceleration increases, therefore the correct answer is option B.
What is Newton's second law?Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum. The mathematical expression for Newton's second law is as follows
As given in the problem Scientists launch a rocket, and they monitor its acceleration and the force exerted by its engines. As the rocket gets higher, the monitors show that the acceleration of the rocket is increasing but the force exerted stays the same.
Newton's laws clarify why scientists may anticipate this to occur. The right response is option B because as fuel is burnt, the rocket's mass reduces, and its acceleration rises.
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Which of the following distinguishes one element from another element?Check all that apply.A. The number of electrons in the nucleusB. The number of electrons moving around the nucleusC. The atomic numberI D. The number of neutrons moving around the nucleus
Answers
Recall that the atomic number is the number of protons in the nucleus of an atom of an element.
The number of protons in an atom is the deciding feature to distinguish one element from another.
The atomic number makes one element different from another.
No two elements have the same atomic number.
Therefore, the correct answer is option C. The atomic number
2.819 to the nearest 10th's place.
Answers
Answer:
2.8 would be the correct answer as 1 rounds down
A 0100 kg hamster enters its exercise wheel, which has an inner diameter of 23.1 cm, and begins to run at t=0, accelerating at aconstant rate. After t= 0.800 seconds, the wheel is turning with a rotational frequency of 1.00 Hz. What is the tangential accelerationof the inner surface of the wheel between t= 0 and 1=0.800 s?m/s2
Answers
The correct answer is To calculate the tangential acceleration of the inner surface of the exercise wheel, we first need to determine the angular acceleration of the wheel. We can use the formula for angular acceleration:
alpha = (omega_f - omega_i) / t where alpha is the angular acceleration, omega_f is the final angular velocity, omega_i is the initial angular velocity, and t is the time interval. We know that the hamster starts at rest, so the initial angular velocity is zero. We also know that the final angular velocity is 2πf, where f is the rotational frequency in hertz. In this case, the final angular velocity is: omega_f = 2πf = 2π(1.00 Hz) = 6.28 rad/s The time interval is given as 0.800 s. Therefore, we can plug in the values and solve for the angular acceleration: alpha = (6.28 rad/s - 0 rad/s) / 0.800 s alpha = \(7.85 rad/s^2\)Next, we can use the formula for tangential acceleration: a_tan = r * alpha
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what happens to the matter that makes up a liquid when sound travels through it
Answers
Explanation:
The matter passes in the directions of the noise and flows from the source to a receiver like sound flows through a substance. As the sound flows through a fluid, the material is disrupted for an amount of time, but after the sound leaves, it restored to its normal location.
what is the physics behind why electric parallel plates move from positive to negative
Answers
The physics behind the movement of electric charges between parallel plates is based on the principles of electrostatics. Electric charges are either positive or negative, and they are affected by electric fields.
Electric fields are created by a difference in electric potential, which is measured in volts. When a voltage is applied to a set of parallel plates, the charges within the plates will be affected by the electric field, and will move in response to it.
What are electric parallel plates?When a voltage is applied to a set of parallel plates, the positive charges in the plate connected to the positive voltage will be attracted to the negative voltage, while the negative charges in the plate connected to the negative voltage will be attracted to the positive voltage.
The movement of charges between the plates is also affected by the presence of any obstacles or resistances in the electric field, such as resistance in the wire. This can slow down the movement of charges and result in a decrease in the current flowing through the circuit.
In all, the movement of charges between electric parallel plates is the result of the electric field created by a difference in electric potential, and the movement of charges is called drift velocity. The movement is also affected by the presence of resistance.
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In terms of electric pressure, describe a charged capacitor.
Answers
Answer: The capacitor is fully charged when the voltage of the power supply is equal to that at the capacitor terminals. This is called capacitor charging; and the charging phase is over when current stops flowing through the electrical circuit.
Scuba divers use compressed oxygen gas to go diving. The oxygen's volume decreases as pressure is increased to fit more in an oxygen tank. What Gas Law is being applied in this situation?
Charles Law
Gay-Luassac's Law
Boyle's Law
Newton's Law
Answers
What includes a distance and a direction? A. Displacement B. Velocity C. Speed D. Acceleration
Answers
hi <3
the correct option would be A. displacement. displacement is distance in a direction
hope this helps :)
The series circuit in the figure contains an ideal battery with a constant terminal voltage V_B=52 V, an ideal inductor L=42 H, a R=20-ohm resistor, and a switch S. Initially, the switch is open, and there is no current in the inductor. At time t=0 s, the switch is suddenly closed. What is the current in the circuit when the voltage across the resistor is equal to the voltage across the inductor?
Answers
The current in the circuit when the voltage across the resistor is equal to the voltage across the inductor is given by:
i(t) = [V_B / R] (1 - e^(-Rt/L)) where t is the time after the switch is closed.
The series circuit in the figure contains an ideal battery with a constant terminal voltage V_B=52 V, an ideal inductor L=42 H, a R=20-ohm resistor, and a switch S. Initially, the switch is open, and there is no current in the inductor. At time t=0 s, the switch is suddenly closed. What is the current in the circuit when the voltage across the resistor is equal to the voltage across the inductor-If the voltage across the resistor and the voltage across the inductor are equal, then the voltage across the inductor is V = IR, where I is the current in the circuit.
According to Kirchhoff's law, the voltage across the resistor is equal to the voltage of the battery minus the voltage across the inductor, i.e., V = V_B - L (di / dt), where di/dt is the rate of change of current, and L is the inductance of the inductor. Equating these two expressions for V, we have: IR = V_B - L (di / dt). Rearranging this equation gives us the following differential equation:di / dt + (R/L) i = (V_B / L)The solution of this differential equation is given by: i(t) = [V_B / R] (1 - e^(-Rt/L)).
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Which term best describes the motion of the rope particles in relation to the motion of the rope wave shown in the photograph
Answers
Answer:
A: Perpendicular
Explanation:
The question is incomplete as it lacks the image of the rope wave motion.
However, as found on "estudyassistant", the options are;
A) Perpendicular
B) Circular
C) Longitudinal
D) Parallel
From all that, we can say that;
The rope's are moving simultaneously in the same pattern without touching each other.
This is therefore a mechanical wave being created with the motion having oscillations that are perpendicular to the direction of energy transfer of the ropes.
This is a definition of transverse waves because the rope particle motion is perpendicular to the wave motion.
Answer:
A: Perpendicular
Explanation:
Read above explanation.
The low-frequency speaker of a stereo set produces 10.0 W of acoustical power. If the speaker projects sound uniformly in all directions, at what distance from the speaker is the intensity level 80.0 dB
Answers
Answer:
the required distance is 89.125 m
Explanation:
Given the data in the question;
we know that, sound intensity B in decibels of sound is;
β(dB) = 10log₁₀( \(I\) / \(I_0\) )
where intensity \(I\) = power / area carried by wave
\(I_0\) = 10⁻¹² W/m² { minimum threshold intensity }
Now,
intensity \(I\) = power / area carried by wave = P/A = P/4πr² { spherical }
given that; β = 80.0 dB and P = 10 W
so
β(dB) = 10log₁₀( \(I\) / \(I_0\) )
we substitute
80 = 10log₁₀( P / 4πr²× \(I_0\))
80 = 10log₁₀( 10 / 4πr²× 10⁻¹² )
8 = log₁₀(10) - log₁₀( 4πr²× 10⁻¹² )
8 = 1 - log₁₀( 4πr²× 10⁻¹² )
8 - 1 = -log₁₀( 4πr²× 10⁻¹² )
7 = -log₁₀( 1.2566 × 10⁻¹¹ × r² )
7 = -[ log₁₀( 1.25 × 10⁻¹¹) + log₁₀( r² ) ]
7 = -[ -10.9 + log₁₀( r² ) ]
7 = 10.9 - log₁₀( r² )
-log₁₀( r² ) = 7 - 10.9
-log₁₀( r² ) = - 3.9
log₁₀( r² ) = 3.9
2log₁₀r = 3.9
log₁₀r = 3.9 /2
log₁₀r = 1.95
r = 89.125 m
Therefore, the required distance is 89.125 m
When are zeros significant when found to the trailing (to the right) of the decimal point?
Answers
Answer:
Usually, zeroes are found to the right of a decimal point in significant numbers if you have something like \(7\frac{1}{100000000000000000000000000}\) (exaggerated example of course), which is when you have a number that is very very close to the integer before it, but isn't that integer.
Please help with this diagram as soon as possible.
Answers
En una balanza de fábrica se determina la masa de un cuerpo y se obtiene
1 M kg 280
con
un error aparente
1 1 0,5 a
M kg
. En un laboratorio, se hace lo mismo con otro cuerpo y
se determina
2 M g 23,545
con un error
2 2 0,001 a
M g .
¿Dónde se cometió mayor erro
Answers
What is the magnitude of the resultant vector? Round your answer to the nearest tenth. m
Answers
The magnitude of the resultant vector to round the answer to the nearest tenth, we look at the digit in the hundredth's place. If this digit is 5 or greater, we round up. If it is less than 5, we round down.
In the study of physics, we use vectors to represent quantities that have both direction and magnitude. It is often the case that we want to add two or more vectors together to obtain a single vector that represents the net result of these additions. The process of adding two or more vectors together is known as vector addition.The magnitude of the resultant vector is the length of the line that represents it on a scale drawing.
When we add two or more vectors together, the resultant vector is the vector that represents the net result of these additions. To find the magnitude of the resultant vector, we use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
In the case of vector addition, the hypotenuse is the resultant vector, and the other two sides are the component vectors. If we have two vectors a and b, the magnitude of the resultant vector is given by the following equation:|R| = √(ax2 + bx2)where R is the resultant vector, a and b are the component vectors, and x is the angle between the vectors.
For example, if the answer is 12.345, we would round it to 12.3.
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