What assumption is made about moving objects on a surface oriented in the x axis that results in fn = mg?
Answers
This assumption allows us to simplify the analysis of the forces acting on the object and relate the normal force to the weight of the object using the equation fn = mg.
The assumption made about moving objects on a surface oriented in the x-axis that results in the equation fn = mg is that the object is in a state of equilibrium or experiencing uniform motion in the vertical direction (perpendicular to the surface). This assumption is a simplification often made in introductory physics or mechanics problems.
In this scenario, the equation fn = mg represents the balance of forces acting on the object in the vertical direction. The terms in the equation represent:
- fn: The normal force, which is the force exerted by the surface on the object perpendicular to the surface. It acts to support the weight of the object.
- mg: The weight of the object, which is the force due to gravity pulling the object downward. It is calculated as the mass of the object (m) multiplied by the acceleration due to gravity (g).
The equation fn = mg assumes that there are no other vertical forces acting on the object apart from the normal force and the force due to gravity. It assumes that the object is not accelerating in the vertical direction and that the surface is not inclined or accelerating.
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Related Questions
how fast does the earth rotate near the equator?
Answers
Answer:
it rotates fast
Explanation:
About 460 meters per second
or 1000miles per hour according to scientist
the proportion of incoming radiation that is reflected by a surface is called
Answers
The proportion of incoming radiation that is reflected by a surface is called albedo. Albedo is a measure of how much of the incoming solar radiation is reflected by a surface.
It is expressed as a percentage, with 0% being no reflection and 100% being a complete reflection.
The albedo of a surface depends on its composition and structure. For example, snow has a high albedo (about 90%), while water has a low albedo (about 5%). The albedo of the Earth's surface is about 30%.
Albedo plays an important role in the Earth's climate. The amount of solar radiation that is reflected back to space by the Earth's surface determines how much of the Earth's energy budget is absorbed by the Earth. A higher albedo means that more solar radiation is reflected back to space, which leads to a cooler Earth. A lower albedo means that more solar radiation is absorbed by the Earth, which leads to a warmer Earth.
The Earth's albedo has changed over time due to a variety of factors, including changes in the Earth's vegetation and ice cover. These changes in albedo have played a role in the Earth's climate history.
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A rower travels upstream at 6 km/h and back to the starting place at 10 km/h. The total journey takes 48 minutes. How far upstream did the rower go?.
Answers
The rower went 3 km upstream with 6km/h speed when rower travels upstream at 6 km/h and came back to the place where he started at 10 km/h with the total time of 48 minutes to complete journey .
What is rower?Rower is the person who rows the boat in a stream or river or any water body.
Solution:given:
Let x be distance to one way
A rower travels upstream at 6 km/h
back to the starting place at 10 km/h
Total time =48 minutes= 4/5hour
hence
Time upstream + Time downstream = 4/5
which means
x/6+x/10=4/5
now take LCD and multiply both side by LCD i.e. = 30
∴ 5x + 3x = 24
∴ 8x=24
∴ x=3
Hence , the rower went 3 km upstream with 6km/h speed.
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A force of (200 N) is applied across a (30 Kg) box, calculate the friction force and the vertical force at (a= 2 m/s2). If the force inclined by 60 degree from the horizontal plane (no move in y axis) *
Answers
Answer:
1.) Frictional force = 40N
2.) Vertical force = 294 N
Explanation:
Given that a force of (200 N) is applied across a (30 Kg) box, calculate the friction force and the vertical force at (a= 2 m/s2). If the force inclined by 60 degree from the horizontal plane
The given parameters are:
Force F = 200 N
Mass M = 30 kg
Acceleration a = 2 m/s^2
Angle Ø = 60 degree
For the object to move horizontally, the force applied must overcome the frictional force.
But force F = product of mass and acceleration
That is,
FcosØ - fr = ma
Where fr = frictional force.
Substitute all the parameters into the formula
200 cos 60 - fr = 30 × 2
100 - fr = 60
-fr = 60 - 100
Fr = 40 N
Therefore, the frictional force is equal to 40N
The vertical force ( normal force) will be equal to the weight of the body
Weight = mg
Weight = 30 × 9.8
Weight = 294 N
A merry-go-round moves in a circle at a constant speed. Is the merry-go-round accelerating? Explain your answer.
Uniform Circular Motion:
Uniform Circular motion is the motion of a body that moves at constant angular velocity. Some examples of bodies that move at uniform circular motion are the blades of a fan set at a constant setting and the motion of a compact disc while the player is on.
Answers
The merry-go-round is accelerating since it is moving in a circle despite the fact that it is moving at a constant speed. The fact that an object moves in a circle does not always imply that it is moving at a constant speed. When an object moves in a circle, it changes direction, and this alteration of direction implies that the object is accelerating.
Even if the speed remains constant, it is still accelerating because the velocity is changing. This is referred to as centripetal acceleration. Centripetal acceleration is the acceleration caused by a force that pulls an object towards the center of the circle. Centripetal force is required for a body to move in a circle. A merry-go-round moves in a circle at a constant speed. This implies that the speed of the merry-go-round does not vary. However, the direction of motion changes continuously, indicating that the merry-go-round is constantly accelerating. Therefore, the merry-go-round is accelerating despite the fact that it is moving at a constant speed.
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Adaline walks 2.0 miles north to school from her house. After school, she walks 2.0 miles south from the school to her house. What is her displacement?
0 miles
1.0 miles, north
2.0 miles, south
4.0 miles, north
Answers
0 miles
Explanation:
delta displacment=position end-position beginning
The displacement of Adaline if she walks 2.0 miles north to school from her house. After school, she walks 2.0 miles south from the school to her house is zero miles so, option A is correct.
What is displacement?The overall modification of an object's location and direction of motion is referred to as displacement. Since displacement considers both the amount of the changing location and the direction of the motion, it is known as a vector quantity. There may be zero, positive, or negative displacement.
Given:
Adaline walks 2.0 miles north to school from her house. After school, she walks 2.0 miles south from the school to her house,
Calculate the displacement as shown below,
Displacement = Distance from house to school + Distance from school to house,
Displacement = 2 + (-2) (North direction is taken as positive and south direction is taken as negative)
Displacement = 0 miles
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2. A metal cube with an edge length x is expanding uniformly as a consequence
of being heated. Find the:
(a) Change in volume of the cube as x increases from 2.00 to 2.01 centimeters.
(b) Average rate of change of volume of the cube with respect to an edge length as x
increases from 2.00 to 2.01 centimeters.
(c) Instantaneous rate of change of volume of the cube with respect to an edge length
at the instant when x = 2 centimeters.
3. Use the definition of the derivative to find the equation of the line that passes through
the point (1, 5) and is parallel to the tangent line to f (x) = 1
x at x = 3.
Answers
A. the change in volume of the cube is approximately 0.120601 cm^3. B. the average rate of change of volume of the cube with respect to an edge length is approximately 12.0601 cm^3/cm. C. the equation of the line that passes through the point (1, 5) and is parallel to the tangent line to f(x) = 1/x at x = 3 is y = (-1/9)x + 14/9.
(a) To find the change in volume of the cube as x increases from 2.00 to 2.01 centimeters, we need to calculate the difference in volume between these two values.
The volume of a cube is given by V = x^3, where x is the edge length.
For x = 2.00 cm, the volume V1 = (2.00 cm)^3 = 8.00 cm^3.
For x = 2.01 cm, the volume V2 = (2.01 cm)^3 = 8.120601 cm^3.
The change in volume is ΔV = V2 - V1 = 8.120601 cm^3 - 8.00 cm^3 ≈ 0.120601 cm^3.
Therefore, the change in volume of the cube is approximately 0.120601 cm^3.
(b) The average rate of change of volume of the cube with respect to an edge length as x increases from 2.00 to 2.01 centimeters can be calculated by dividing the change in volume by the change in edge length.
ΔV = 0.120601 cm^3 (from part a)
Δx = 2.01 cm - 2.00 cm = 0.01 cm
The average rate of change of volume is ΔV/Δx = 0.120601 cm^3 / 0.01 cm ≈ 12.0601 cm^3/cm.
Therefore, the average rate of change of volume of the cube with respect to an edge length is approximately 12.0601 cm^3/cm.
(c) The instantaneous rate of change of volume of the cube with respect to an edge length at the instant when x = 2 centimeters can be found by taking the derivative of the volume function V = x^3 with respect to x and evaluating it at x = 2.
dV/dx = 3x^2
At x = 2 cm, the instantaneous rate of change of volume is dV/dx evaluated at x = 2:
dV/dx = 3(2 cm)^2 = 12 cm^2.
Therefore, the instantaneous rate of change of volume of the cube with respect to an edge length at x = 2 centimeters is 12 cm^2.
To find the equation of the line that passes through the point (1, 5) and is parallel to the tangent line to f(x) = 1/x at x = 3, we need to determine the slope of the tangent line.
The derivative of f(x) = 1/x is given by f'(x) = -1/x^2.
At x = 3, the slope of the tangent line is f'(3) = -1/(3^2) = -1/9.
Since the line we want to find is parallel to the tangent line, it will have the same slope. So the slope of the line is -1/9.
Using the point-slope form of a linear equation, we can write the equation of the line as:
y - y1 = m(x - x1),
where (x1, y1) is the given point (1, 5) and m is the slope.
Substituting the values, we have:
y - 5 = (-1/9)(x - 1).
Expanding and rearranging the equation, we get:
y = (-1/9)x + 14/9.
Therefore, the equation of the line that passes through the point (1, 5) and is parallel to the tangent line to f(x) = 1/x at x = 3 is y = (-1/9)x + 14/9.
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find the y component of the momentum, pbefore,y, of the ball immediately before the collision.
Answers
Y component of momentum before collision = - mv
Using Energy Conservation -
mgh = 0.5m\(v^{2}\)
v= \(\sqrt{2gh}\)
v = \(\sqrt{2*9.8*1.5}\)
v = - 5.42 m/s
Y component of momentum before collision = - 50×\(10^{-3}\) ×5.42 Kgm/s
Y component of momentum before collision = -0.271 Kg m/s
What is momentum?
Momentum is a commonly used term in sports. Momentum teams are moving, and it takes some effort to stop them. A team with momentum moves really fast and will be hard to stop. Momentum is a physical term. Refers to the amount of movement of an object. Sports teams in motion have momentum. If an object is moving (moving), it has momentum.
Momentum can be defined as "mass in motion". All objects have mass. So if an object is moving, it has momentum and its mass is moving. The momentum an object has depends on two variables. It is the amount that matter moves and the speed at which it moves. Momentum depends on variable mass and velocity. In equation terms, an object's momentum is equal to the object's mass times the object's velocity.
Therefore, Y component of momentum before collision = -0.271 Kg m/s
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Why do we feel the force of gravity from the Earth but we don’t feel the force of gravity from the moon?
Answers
Answer:
The gravitational force on the moon is less than on Earth because the strength of gravity is determined by an object's mass. The bigger the object, the bigger the gravitational force. Gravity is pretty much everywhere. We just feel it in different ways depending on our state of motion.
Explanation:
Hope this helped!!
:)
A moon orbits a planet in a circular orbit so that its velocity along the circular path changes continuously with time. Explain how the force of gravity changes the moon's velocity.
Answers
Answer: The Earth exerts a gravitational force on the Moon which acts as a centripetal force, directed toward the center of the Earth which creates a centripetal acceleration, of which is also directed toward the center of the Earth causing the velocity of the Moon to constantly change direction in a circular orbit.
Explanation:
The force that causes objects to follow a circular path is called the centripetal force and acts towards the center of the circle. Gravitational force on the other hand is the force that objects exerts on each other. As shown on the attached picture when an object moves in a uniform circular motion, its velocity is always in the direction of the tangent of the orbit. This accounts for the constant change in velocity of the object as it is moving around the circle. Furthermore the acceleration of the object which is the moon in this case is directed towards the center of the circle which accounts for the changing direction of the velocity of the moon. Simply the Earth's gravity pulls the Moon in an orbit with circular motion.
What do we call the condition of the atmosphere at a certain time and place?
Answers
Answer:
Weather
Weather describes what the atmosphere is like at a specific time and place, and may include temperature, wind, and precipitation. Weather is the change we experience from day to day. Climate is the long-term average of weather in a particular spot.
Explanation:
2. Does a solar cell always maintain the potential across its terminals
constant? Discuss.
Answers
Answer:
hi
Explanation:
Deaths due to lifestyle diseases have declined since the early 1900s.
T
F
Answers
Answer:
FalseExplanation:
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Identify each part of this chemical equation, which describes the burning of methane and oxygen.
A (the entire green box):
B (the blue box):
C (the arrow):
D (the number):
E (the purple box):
Answers
\(\boxed{\boxed{\sf CH_4+2O_2}\longrightarrow \boxed{\sf CO_2+2H_2O}}\)
Total chemical equationReactant sideReaction happening directionCoefficientProducts sidepls help ill give 100 points to brainliest
Answers
Answer:
Below given.
Explanation:
The general form of a direct variation formula is y=kx. passes axis at 0.Equations of the form y = kx + b where b is a number other than zero are not direct variation equations because when x is zero in any of these y is not zero.1) Direct
2) Not Direct
3) Direct
4) Not Direct
5) Not Direct
6) Direct
7) Not Direct
8) Not Direct
I need help finding the solution
Answers
Explanation:
the answer is wavelength
What type of reaction in the diagram?
B.Fission,because the reaction absorbed energy
C.Fusion,because the reaction formed heavier nuclei
D.Fission,because the reaction formed lighter nuclei
Answers
Answer:
b, i think
Explanation:
In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of the part left?
Answers
Answer: 98cm
Explanation:
Dimension of rectangle = 30cm by 25cm
Length(l) = 30cm
Width(w) = 25cm
Perimeter of a rectangle = 2(l + w)
Quadrant of circle cut away of each side of the rectangle :
Radius = 7 cm =
That is, the dimension of the triangle reduces by 2 * 7 = 14cm
New length = 30 - 14 = 16cm
New width = 25 - 14 = 11cm
The four corners =( 4 × 2πr ) / 4
2πr = 2 × 22/7 × 7 = 44cm
Perimeter = 2(16cm + 11cm)
= 2(27cm)
Perimeter = 54cm + 44 = 98cm
Two positively charged particles are 0.03 m apart. The first
particle has a charge of 8.1 C, and the second a charge of 2.6
C. Which change would lead to the smallest increase in the
- electric force between the two particles?
A. Reduce the charge on the first particle by one half.
O B. Double the distance between the particles.
O C. Double the charge on the second particle.
OD. Reduce the distance between the particles by one
half
Answers
The correct option is option C.
Doubling the charge on the second particle produces the smallest increase in force.
Electrostatic force:Let the given charges be Q and q such that:
Q = 8.1C and q = 2.6C
separated by a distance of R = 0.03m
Now, we have to calculate the minimum increase in electric force.
The electrostatic force is given by:
F = kQq/R²
Option A is wrong since reducing the charge will reduce the force.
Option B is wrong since the force is inversely proportional to the distance, so increasing the distance will decrease the force.
Option C ⇒ Double the charge on the second particle:
F = 2kQq/R²
Option D ⇒ Reduce the distance between the particles by one half:
So, the new distance between the charges is R/2, then
F = kQq/(R/2)²
F = 4kQq/R²
Clearly, the operation in option C gives the smallest increase in the force.
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1. How many laws of motion did Newton develop?
Answers
Answer:
Three laws
Explanation:
Three laws of motion that Newtown developed.
The Earth orbits around the sun. Which scenario would cause the
greatest increase in gravitational forces between the 2 masses?
A- Double the distance between the Earth and sun
B- Reduce the distance between the Earth and the sun in half.
C- Double the Earth's size.
D- Reduce the sun's size by half.
Answers
Answer:
B
Explanation:
because. it reduces the distance between the earth
A potato is launched from the ground at an 73 degree angle with a velocity of 48 m/s.
What maximum height will the potato reach? (Answer in meters)
Type your answer...
Answers
Answer:
107.4 meters
Explanation:
gravity is 9.8m/s^2
max height = (velocity squared times sin squared angle) ÷ ( speed of gravity times 2 )
max height = (48 squared times sin of 73 squared) ÷ ( 9.8 times 2 )
When the surroundings did 75 kj of work on a system, its internal energy increased by 45 kj. how much energy did the system gain or lose as heat?
Answers
The required amount of heat energy lost in a system when surroundings performed certain amount of work and when internal energy is increased is calculated to be - 30 kJ.
Given that,
Work done on the system w = 75 kJ
Internal energy ΔU is increased by 45 kJ
Heat energy q lost or gained by the system = ?
From the first law of thermodynamics, mathematically, expression can be written as, ΔU = q + w
q = ΔU - w = 45 kJ - 75 kJ = - 30 kJ
The negative sign indicates that the heat energy is lost.
Thus, the amount of heat energy lost in the system is - 30 kJ.
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50. A longitudinal wave is a wave in which particles vibrate perpendicular to the
direction of the flow of energy. ____________________
Answers
Longitudinal waves are those in which the displacement of the medium moves in the same plane as the wave's direction of travel.
In longitudinal waves, the motion of the individual medium particles is parallel to the direction of energy transit.
That means, the longitudinal waves are waves in which the particles move energy from one location to another by vibrating in the wave's path of propagation.
Waves such as sound waves, ultrasound waves, seismic P-waves, etc. are the examples of longitudinal waves.
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Which statement identifies the purpose of the Declaration of Independence?
Answers
Answer:
\(Declaration \: of \: Independence \: can \: be \: refered \: to \\ \: the \: state \: of \: pronouncing \: or \: the \\ \: statement\: by \:the \: citizens \: of \: a \: country \:to \: be \: able \:to \: choose \: \: thier \: own \: government.\)
Oketch's house has a septic tank with dimensions as shown below. 6m 2m 3m a) What is the capacity of the septic tank in; (1) m (ii) in litres cm3
Answers
\( \large \mathfrak{Solution : }\)
Capicity of the septic tank is :
6m × 2m × 3m24 m³(i) capicity = 24 m³
(ii) capicity = 24 × 1000000 = 24000000 litres (cm³)
A heavy box weighing 1000 newtons sits on the floor. You lift upward on the box with a force of 450 newtons, but the box does not move. What is the normal force on the box while you are lifting?
Answers
Answer:
i think its 550
Explanation:
1000-450 is 550
Ex: 1000 is the box
450 is your force
1000-450=550
a horse is tied with a 2m long rope at a pole. what distance will the horse run around the pole with a rope tightly stretched, if it takes and one a half rounds? also find the displacement of the horse
Answers
Answer: Total distance = 4π meters and the Total Displacement = 0
Explanation: 1.5 rounds around the pole = 1.5 times the circumference of the circle form by the rope.
Circumference of a Circle = 2πr
from the question the radius = 2m, hence the total circumference = 2π*2 = 4π meters.
Displacement which is distance between initial position and final position. When the horse takes one and a half rounds around the pole, it ends up back at the starting point. Hence, the displacement is zero.
Ace Batteries uses the Capital Asset Pricing Model to calculate the cost of equity capital. Which of the following event will REDUCE the company's WACC (weighted average cost of capital). a. An increase in the flotation costs associated with issuing new common stock. b. An increase in the market risk premium. c. A decrease in the company's beta d. An increase in flotation cost of issuing preferred stock.
Answers
WACC (Weighted Average Cost of Capital) is a calculation used to assess a company's cost of capital. It is computed by multiplying each source of capital (equity, debt, and preferred stock) by its relevant weight and then summing these up.
In this question, Ace Batteries is utilizing the CAPM (Capital Asset Pricing Model) to determine the cost of equity capital.Ace Batteries' WACC can be reduced if the company's beta decreases. The beta of a company is a measure of its market risk or volatility, and it is a component of the CAPM formula
As a result, a lower beta lowers the cost of equity capital, lowering the company's WACC. Consequently, option c: A decrease in the company's beta, will REDUCE Ace Batteries' WACC (weighted average cost of capital).
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If you running a mile for time, which is the best method to maximize your outcome in completing your jog in a good time?
Answers
The maximize your outcome when running a mile for time, there are several methods that you can use. The first is to establish a good pace from the beginning. You don't want to start off too fast and burn out before the end, but you also don't want to start too slow and waste precious seconds trying to catch up.
The best to find a pace that feels challenging but sustainable and stick with it throughout the mile. Another method is to focus on your form. This means keeping your shoulders relaxed, your arms at your sides, and your strides short and quick. Good form not only helps you move more efficiently, but it can also prevent injury and fatigue. Breathing is also important when running a mile for time. You want to take deep breaths in through your nose and exhale through your mouth. It's also helpful to focus on your breathing and try to match it with your stride pattern. Finally, mental preparation can be key to maximizing your outcome when running a mile for time. This means visualizing yourself completing the mile in a good time, staying focused, and pushing through any discomfort or fatigue. With these methods, you can set yourself up for success and achieve your best possible time when running a mile.
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