The uncertainty of the mass in kilograms is 2.1 kg.
What is the uncertainty if the mass in kilograms?In taking measurements of quantities, there is always an in inherent error that results known as uncertainty.
Every instrument has an uncertainty level.
Given the percentage uncertainty as 3%.
Uncertainty = percentage uncertainty × massUncertainty = 3% × 70kg
Uncertainty = 2.1 kg
Therefore, the uncertainty in kilograms is 2.1 kg.
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Question 5
2 pts
(04.03 MC)
Which types of changes must follow the law of conservation of mass? (2 points)
O Both physical and chemical changes
Neither physical nor chemical changes
O Only physical changes
O Only chemical changes
Answer:
A Both physical and chemical changes.
Explanation:
Find the minimum speed of a particle with trajectory c(t)=(t3−5t,t2+1) for t≥0. (Round your answer to three decimal places.)
Hint: It is easier to find the minimum of the square of the speed.
To find the minimum speed of a particle with the given trajectory c(t) = (t^3 - 5t, t^2 + 1) for t ≥ 0, we need to calculate the magnitude of the particle's velocity vector and find its minimum value.
The velocity vector v(t) is the derivative of the position vector c(t) with respect to time t:
v(t) = (d/dt (t^3 - 5t), d/dt (t^2 + 1))
= (3t^2 - 5, 2t)
The speed of the particle is the magnitude of the velocity vector:
|v(t)| = √((3t^2 - 5)^2 + (2t)^2)
= √(9t^4 - 30t^2 + 25 + 4t^2)
= √(9t^4 - 26t^2 + 25)
To find the minimum speed, we need to find the minimum value of the expression under the square root. We can do this by finding the minimum point of the function by taking the derivative and setting it equal to zero:
d/dt (9t^4 - 26t^2 + 25) = 0
36t^3 - 52t = 0
4t(9t^2 - 13) = 0
From this equation, we find that t = 0 or t = ±√(13/9).
To determine the minimum speed, we substitute these values of t back into the expression for the speed:
|v(0)| = √(25) = 5
|v(√(13/9))| ≈ 3.404
|v(-√(13/9))| ≈ 3.404
Therefore, the minimum speed of the particle is approximately 3.404.
The minimum speed of the particle with the trajectory c(t) = (t^3 - 5t, t^2 + 1) for t ≥ 0 is approximately 3.404. This is found by calculating the magnitude of the velocity vector and determining the minimum value of the expression under the square root by taking the derivative and setting it equal to zero. The minimum speed occurs at t = ±√(13/9), resulting in a minimum speed of approximately 3.404 (rounded to three decimal places).
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A 6.2 kg bowling ball that weighs 60.76N is accelerating at 1.8m/s^2. After 2 seconds, it reaches a speed of 3.6m/s. What is it's momentum at this point?
Answer:
1.7
Explanation:
because of the bowling
22.3 kg•m/s is the answer.
if you operate a 2.0 kilowatt for 2 hours how much energy do you use
Answer:
4 kWh/day
Explanation:
hope this helps!
~mina-san
an object is on the optical axis of a convex spherical mirror with a focal length of 51 cm . the object has a height of 2.0 cm and is at a distance of 80 cm from the mirror. what is the height of the image?
The height of the image formed by the convex spherical mirror is approximately 0.64 cm.
To find the height of the image, we can use the mirror formula and magnification formula. The mirror formula is 1/f = 1/u + 1/v, where f is the focal length, u is the object distance, and v is the image distance. Using the given values, we can calculate v.
After finding v, we can use the magnification formula, M = -(v/u), to find the magnification (M). Finally, to find the height of the image (h'), we can multiply the object height (h) by the magnification: h' = M * h. In this case, h' = M * 2.0 cm, which gives us approximately 0.64 cm as the height of the image.
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Plants appear green because they do not absorb the green wavelengths of light. What happens to those green light waves when they hit a plant? The are diffracted. They are absorbed. They are reflected. They are refracted.
Answer:
They are reflected.
Explanation:
Red light is absorbed while green light is reflected, causing the color to be green in human eyes.
Answer:
C
Explanation:
En un proceso isobárico, la presión del gas es de 105 Pa. Halle el desplazamiento del pistón, cuya área es de 0,4 m2, cuando el gas desarrolla un trabajo de 8 x 104 J
Answer:
The displacement of the piston is 1904.76 m
Explanation:
Here we have an isobaric or constant pressure process, therefore;
Work done, W = P × (V₂ - V₁)
Where:
W = 8 × 10⁴ J
P = Pressure of the gas = 105 Pa
V₁ = Initial volume of the cylinder of the piston
V₂ = Final volume of the cylinder of the piston
We note that volume of the cylinder of the piston = Base area, A × h
Therefore;
V₁ = A × h₁
V₂ = A × h₂
Which gives;
V₂ - V₁ = A × h₂ - A × h₁ = A×(h₂ - h₁)
Where:
A = Base area of the piston = 0.4 m²
h₂ - h₁ = Displacement of the piston
∴ 8 × 10⁴ J = 105 Pa × (V₂ - V₁) = 105 Pa × 0.4 m² × (h₂ - h₁)
h₂ - h₁ = (8 × 10⁴ J)/(105 Pa × 0.4 m²)
h₂ - h₁ = 1904.76 m
Hence the displacement of the piston = 1904.76 m.
an object is dropped from the top of a building which is 75 meters high. what's it's velocity before it reaches ground
Hi there! :)
\(\large\boxed{38.34 m/s}\)
Use the following kinematic equation to solve:
\(v_{f}^{2} = v_{i}^{2} + 2ad\)
Where:
vf = final velocity (?)
vi = initial velocity (0 m/s, object started at rest)
a = acceleration (gravity = 9.8 m/s)
d = distance travelled (75 m)
Plug in the given values into the equation:
\(v_{f}^{2} = 0^{2} + 2(9.8)(75)\)
Simplify:
\(v_{f}^{2} = 2(9.8)(75)\\\\v_{f}^{2} = 1470\)
Take the square root of both sides:
\(v_{f} = \sqrt{1470} = 38.34 m/s\)
Find the electric field a distance z above the center of a square loop (side a) carrying uniform line charge λ
The electric field at a distance z above the center of a square loop carrying uniform line charge λ can be calculated using the formula:
E = λ / (4πε₀) * [(√2 + z) / (a² + z²) + (√2 - z) / (a² + z²)]
Where E is the electric field, λ is the line charge density, ε₀ is the permittivity of free space, z is the distance above the center of the loop, and a is the side length of the square loop.
The formula takes into account the contributions of the electric field from each side of the square loop. The terms (√2 + z) / (a² + z²) and (√2 - z) / (a² + z²) represent the field contributions from the sides parallel and perpendicular to the direction of the distance z, respectively. By summing these contributions, we can determine the electric field at the given distance above the center of the loop.
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The pressure of water on ground is 50000pa and at first floor it is 20,000pa .find the height of the first floor??
The height of the first floor is 7.5 meters if the water pressure on the ground is 50000 pa and 20,000 pa at the first floor.
How is the height of the first floor determined?Using the hydrostatic pressure equation, we can get the reference level as the water pressure at the ground floor:
P = ρgh
P is equal to 50000 Pa on the ground floor and 20000 Pa on the first. Water's constant density allows us to write:
P1/P2 = h1/h2
where P1 and h1 represent the ground floor pressure and height and P2 and h2 represent the first floor pressure and height.
Inputting the values provided yields:
50000/20000 = h1/h2
As a result, the first level is 2.5 times as tall as the bottom floor. The height of the first floor would be as follows if we used a typical height of 3 meters per storey:
2.5 × 3 = 7.5 meters for h2.
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Unpolarized light of intensity I0 is incident on three polarizing filters. The axis of the first is vertical, that of the second is 35.0 ∘ from vertical, and that of the third is horizontal.
Part A
What light intensity emerges from the third filter?
The second is 35.0 ∘ from vertical, and that of the third is horizontal: The light intensity emerging from the third filter is I0/2.
What is light?
Light is a form of electromagnetic radiation that is visible to the human eye. It is a fundamental component of the electromagnetic spectrum, which encompasses a range of wavelengths and frequencies.
From a particle perspective, light can be described as a stream of tiny packets of energy called photons. Each photon carries a specific amount of energy, and the energy of a photon is directly proportional to its frequency. Different frequencies of light correspond to different colors that we perceive, ranging from red (lower frequency, lower energy) to violet (higher frequency, higher energy).
When unpolarized light passes through a polarizing filter, the intensity of the transmitted light is reduced by half. In this case, we have three polarizing filters with different orientations.
The first filter has a vertical axis, which means it allows only vertically polarized light to pass through. Since the incident light is unpolarized, half of its intensity is transmitted through the first filter.
The second filter has an axis that is 35.0 degrees from vertical. This means it allows both vertically and horizontally polarized components of the incident light to pass through.
However, the intensity of each component is reduced by half. Therefore, the transmitted intensity through the second filter is (1/2) * (1/2) = 1/4 of the original intensity.
The third filter has a horizontal axis, which allows only horizontally polarized light to pass through.
Since the intensity of the light transmitted through the second filter is already reduced to 1/4 of the original intensity, the intensity emerging from the third filter is (1/4) * (1/2) = 1/8 of the original intensity, which can be simplified to I0/2.
Therefore, the light intensity emerging from the third filter is I0/2.
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what is it called when a body covers certain distance per unit time
Explanation:
Hey there!
The answer is Speed.
Reason:
Simply we know that distance (d) = speed*time
and speed = distance/ time. And according to the question, when a body covers certain distance/unit time, it's speed.
Hope it helps!
Ice is melting a.conclusion b.observation c.experimentation d.inference
Answer:
b. Observation
Explanation:
You see ice melt in an experiment, so you record that as one of your observations.
A person exerts 12.0 N on a 0.145 kg baseball for 0.480 s. What is the change in velocity of the base ball?
The change in velocity of the baseball is 39.72 m/s
What is change in velocity?
This is the difference between the final and the initial velocity of a body.
To calculate the change in velocity of the ball, we use the formula below.
Formula:Ft = mΔv.............. Equation 1Where:
F = Force exerted by the persont = timem = mass of the baseballΔv = Change in velocity.Make Δv the subject of the equation
Δv = Ft/m........... Equation 2From the question,
Given:
F = 12 Nt = 0.480 sm = 0.145 kgSubstitute these values into equation 2
Δv = (12×0.48)/0.145Δv = 39.72 m/s.Hence, The change in velocity of the baseball is 39.72 m/s
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Briefly explain the circumstances in which velocity and acceleration of a car are
a) parallel
b) anti parallel
Explanation:
a) Velocity and acceleration of a car are parallel when the car is moving along a straight line in the same direction. For example, when a car is gaining speed as it moves forward in a straight line, both velocity and acceleration are directed in the same direction.
b) Velocity and acceleration of a car are anti-parallel when the car is moving along a straight line in the opposite direction. For example, when a car slows down while moving in a straight line, its acceleration is directed opposite to the direction of its velocity, or the other way around.
Answer:
a)
There is only one case where velocity and acceleration are parallel only when they are moving in the same direction.
b)
There are 3 cases where velocity and acceleration are antiparallel.
(i) When both are moving in different direction
It means :
Either velocity towards +ve direction and acceleration towards -ve direction.Or, velocity towards -ve direction and acceleration towards +ve direction.It is applicable for both 2D (x-y plane) and 3D (x-y-z plane)(ii) When the object is slowing down, where velocity and acceleration are in the opposite direction.
(iii) In case of motion reversal.
Explanation:
an o-star has a hotter surface temperature than the sun. therefore, compared to the sun,
An O-star has a hotter surface temperature than the Sun, so compared to the Sun, its emission peaks in the blue part of the spectrum.
An O-star is a hot, blue star of spectral type O in the Yerkes classification system. O-stars have temperatures of over 30,000 kelvin. They have strong lines of other ionized elements, strong absorption lines of ioniszed helium, and hydrogen and neutral helium lines that are weaker than spectral type B.
O-stars are very rare, but they can be seen at great distances because they are very bright. Because of their high mass, O-stars end their lives rather quickly in violent supernova explosions, which results in neutron stars or black holes.
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An airplane travels 640 miles from topeka to houston in 3. 2 hours, going against the wind. The return trip is with the wind, and takes only 2 hours. Find the rate of the airplane with no wind. Find the rate of the wind.
When an airplane travels 640 miles from Topeka to Houston in 3. 2 hours, going against the wind. The return trip is with the wind and takes only 2 hours. Then the rate of the airplane with no wind is 260 miles/hr, and the rate of the wind is 100 miles/hr
Let Va is the velocity of the airplane
Va is the velocity of the wind
When flying against the wind then
(Va+Vw)*(3.2 hours) = 640
3.2Va + 3.2Vw = 640
3.2Vw = 640 - 3.2Va
Vw = 200 - Va----------------(1)
When flying with the wind:
(Va-V)*(2 hours) = 640km
2Va - 2Vw = 640
Va - Vw = 320 ----------------(2)
Putting the value of VW in equation (2) we get
Va - (200-Va) = 320
2Va = 320 +200
2Va = 520
Va = 260
Putting this value in equation (2)
Vw =Va - 360
Vw = 100
Therefore the rate of the airplane with no wind is 260 miles/hr, and the rate of the wind is 100 miles/hr
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Two similar spheres A and B, have charges of +2 * 10 ^ -6 * C and + 1 * 10 ^ -6* C The of the electrostatic force on A due to B is 2.4 Newtons. What is the magnitude of electrostatic force on B due to A. Why ?
Show work please and explain.
The magnitude of the electrostatic force on sphere B due to sphere A is also 2.4 N, because the forces are equal in magnitude but opposite in direction as they form an action-reaction pair.
How to find the magnitude of electrostatic force on B due to A?First by Coulomb's Law, the electrostatic force F between two point charges Q1 and Q2, separated by a distance r, is given by
F = k * (Q1 * Q2) / r^2
Where k is the Coulomb constant, which has a value of 9 × 10^9 N·m^2/C^2.
In this case, we have two spheres A and B, with charges +2 * 10^-6 C and +1 * 10^-6 C, respectively. The electrostatic force on A due to B is given as 2.4 N.
To find the electrostatic force on B due to A, we can use Coulomb's Law and the fact that the force between the two spheres is an action-reaction pair, meaning that the forces on A and B are equal in magnitude but opposite in direction. Therefore, the magnitude of the electrostatic force on B due to A is also 2.4 N.
We can see this by rearranging Coulomb's Law as:
F = k * (Q1 * Q2) / r^2
=> Q2 = (F * r^2) / (k * Q1)
where
Q2 is the charge on sphere B, R is the distance between the two spheres, and we have used the known force and charge on sphere A.Substituting the values given, we get:
Q2 = (2.4 N * (1 m)^2) / (9 × 10^9 N·m^2/C^2 * 2 × 10^-6 C) = 0.133 C
Therefore, the magnitude of the electrostatic force on sphere B due to sphere A is also 2.4 N, because the forces are equal in magnitude but opposite in direction as they form an action-reaction pair.
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Consider two spinning tops with different radii. Both have the same linear instantaneous velocities at their edges. Which top has a smaller angular velocity? the top with the smaller radius because the radius of curvature is inversely proportional to the angular velocity the top with the smaller radius because the radius of curvature is directly proportional to the angular velocity the top with the larger radius because the radius of curvature is inversely proportional to the angular velocity The top with the larger radius because the radius of curvature is directly proportional to the angular velocity
Answer:
the top with the largest radius because the radius of curvature is inversely proportional to the angular velocity
Explanation:
Angular and linear velocity are related
v = w r
w = v / r
Therefore, if the linear velocity of the two is the same, the one with the smaller radius has the higher angular velocity.
When reviewing the answers, the correct one is:
the top with the largest radius because the radius of curvature is inversely proportional to the angular velocity
The top that has a smaller angular velocity is D. the top with the larger radius because the radius of curvature is directly proportional to the angular velocity.
It should be noted that the top that has a higher angular velocity will be the top with the smaller radius because the radius of curvature is inversely proportional to the angular velocity
On the other hand, since the two spinning tops have different radii while both have the same linear instantaneous velocities at their edges, then the top that has a smaller angular velocity is the top with the larger radius because the radius of curvature is directly proportional to the angular velocity.
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1. When a net force F acts on an object of mass M, the object accelerates at 16 m/s². An equal net force F acts on a second object of mass 2M. What is the acceleration of this second object?
A box moves 5\,\text m5m5, start text, m, end text horizontally when force F=20\,\text NF=20NF, equals, 20, start text, N, end text is applied at angle \theta=45\degreeθ=45°theta, equals, 45, degree. What is the work done on the box by FFF during the displacement?
Answer:
70.71
Explanation:
Given that :
Force (F) = 20N
Distance moved (d) = 5 m
θ = 45°
Workdone on the box :
Workdone (W) = Fdcosθ ; where ;
F = Force, d = Displacement, θ = angle
W = 20 * 5 * cos45°
W = 100 * 0.7071067
W = 70.71 Nm
The energy needed to melt a solid is know as the lantern heat of...
Answer:
Lantern heat of fusion.
Explanation:
The energy needed to melt a solid is know as the lantern heat of fusion.
intermediate level a 30 micro f capacitor is connected to a 9 v battery calculate the charge on the capicot
When a 30 micro of capacitor is attached to the a 9 v battery at its intermediate level, the equation states that 2.7μC is the charges on the capacitor.
What is the basic principle of a capacitor?A capacitor operates on the basis that capacitance of the a conductor exhibits rise when a grounding conductor is introduced near it. As a result, the capacitance has parallel plates that are spaced apart from one another and facing in opposing directions.
What is a capacitor used for?Two conductors that are separated from one another and positioned close to one another make up a capacitor, a electrical energy storage device. A parallel-plate capacitor is a simple example with one such storage device.
Briefing:If we rearrange the previous formula to account for C=30F and V=9v in our issue, we can calculate the charge held in the capacitor:
Q=CV
=(30μF) (9v)
=2.7μC
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on which factor does the inertia of rest depends
Answer:
Inertia depends upon the force applied .
which force is a contact force
Please answer if you know :)
Answer1. :(20/25)*200/*25 2. Increase the radius or apply the force perpendicular to the wrench
Explanation:torque =force*distance*sine of the angle between applied force and axis of wrench
two skaters on a frictionless pond push apart from one another. one skater has a mass of 80 kg and the other a mass of 60 kg. after some time the two skaters are a distance 10 m apart. how far has the lighter skater moved from her original position?
The lighter skater has moved 10 meters in the opposite direction from the heavier skater.
The skaters are initially at rest on the frictionless pond, so the total momentum of the system is zero. When they push away from each other, their momenta change, but the total momentum of the system remains zero. This is known as the conservation of momentum. Let's denote the initial position of the lighter skater as x1 and the final position as x2. The heavier skater moves in the opposite direction, so their final position is x2 + 10 m.
Using the conservation of momentum, we can write:
(m1)(v1) + (m2)(v2) = 0
where m1 and m2 are the masses of the skaters, and v1 and v2 are their velocities. Since the skaters were initially at rest, we have v1 = 0. Solving for v2, we get:
v2 = -(m1/m2) * v1 = 0
So the final velocity of the skaters is zero. The distance traveled by the lighter skater is equal to the distance between their initial and final positions, which is:
x2 - x1 = -10 m
As a result, the lighter skater has travelled 10 meters opposite the heavier skater.
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A velocity-time graph shows how ____ changes over time.
I need help quick ! helpppppppp
How can you increase the force required to move an object without changing the mass of the object?
To increase the force required to move an object without change mass is : To increase the acceleration of the object
Force acting on an object
Given that Force = Mass * acceleration
An increase in the acceleration of an object in motion will result in a proportional increase in the Force required to move the object becasue force of an object is directly proportional to the acceleration of an object.
Hence we can conclude that To increase the force required to move an object without change mass is To increase the acceleration of the object.
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