To find:
How does the decrease in friction affect the amount of force needed?
Explanation:
Friction is a force that acts between two surfaces that are in contact with each other. Friction is the force that opposes the motion of an object. Thus the frictional force is always in the direction opposite to the direction of motion of an object.
The net force is the sum of all the forces that act on the object. When there is friction acting on a body, the applied force must overcome friction in order for the body to move. Thus when the friction is high the magnitude of the applied force must be high. Therefore when the resistance caused by the friction decreases the amount of the force needed for the object also decreases.
Final answer:
Therefore when the resistance caused by the friction decreases the amount of the force needed for the object also decreases.
(Figure 1) is the potential-energy diagram for a 500 g particle that is released from rest at A . What is the particle's speed at B ?
Answer:
Explanation:
according to the graph at B the potential energy of the particle is 2J
therefore we can use the kinetic energy equation to calculate the particle's velocity or speed.
\(E_{k} =1/2mv^{2}\)
2J= 1/2*1/2kg*v^2
8=v^2
v= 2√2 ms-1
Can someone pls help ! I’m sorry it’s small
Answer:
The velocity time graph which shows a negative constant velocity (horizontal line below the horizontal axis) Labeled as Graph #2
Explanation:
Notice that the position-time graph shows the position decreasing in the form of a line with negative slope. Recall that the velocity graph is associated with the change in position with time, and this change in position is in the form of a line of constant negative slope. The slope of the position-time graph is in fact the velocity of the object, which therefore is negative and constant.
Such behavior is represented by the graph labeled as Graph 2 of a constant (horizontal) line below the horizontal axis.
* What is the effect of temperature
on density of liquid?
-)
Answer:
evaporation?
sorry if im wrong
Explanation:
Temperature is inversely propotional to the density of liquid
. A 5cm tall object is placed perpendicular to the principal axis of a convex lens of focal
length 10 cm. The distance of the object from the lens is 15 cm. Find the nature, position
and size of the image. Also find its magnification
The nature of the image formed by the convex lens is virtual, the position of the image is 30 cm away from the lens on the same side as the object, and the size of the image is twice the size of the object. The magnification is 2, meaning the image is magnified.
Given:
Object height (h) = 5 cm
Focal length of the convex lens (f) = 10 cm
Object distance (u) = 15 cm (positive since it's on the same side as the incident light)
To determine the nature, position, and size of the image, we can use the lens formula:
1/f = 1/v - 1/u
Substituting the given values:
1/10 = 1/v - 1/15
To simplify the equation, we find the common denominator:
3v - 2v = 2v/3
Simplifying further:
v = 30 cm
The image distance (v) is 30 cm. Since the image distance is positive, the image is formed on the opposite side of the lens from the object.
To find the magnification (M), we use the formula:
M = -v/u
Substituting the values:
M = -30 / 15 = -2
The magnification is -2, indicating that the image is inverted and twice the size of the object.
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The gravitational potential energy of an object
depends on ....
[mark all correct answers]
a. mass of the object
b. velocity of the object
c. gravitational field
d. height of the object
e. stretch of the object
f. stiffness of the object
The gravitational potential energy of an object depends on mass of the object, gravitational field and height of the object.
What is gravitational potential energy?
The gravitational potential energy of an object is the energy possessed by the object due to the object's position above the ground level.
P.E = mgh
where;
m is mass of the objectg is acceleration due to gravityh is the height of the objectThe factors affecting gravitational potential energy of an object include;
mass of the objectheight of the objectacceleration due to gravity or gravitational fieldThus, the gravitational potential energy of an object depends on mass of the object, gravitational field and height of the object.
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who discovered earth was like a big magnet
key points that can be found in the realist philosophical position
Answer:
Key points that can be found in the realist philosophical position are as follows:
The view that we observe or identify is real, truly out there.The objects which are identified are independent of someone's perceptions, linguistic practices, conceptual scheme, and beliefs.Quantum mechanics is an example of philosophical realism that claims world is mind-independent.Through which material would you expect sound waves to move fastest? O A. Iron O B. Water O c. Air O D. Milk
Answer:
Solids
Is this what your looking for, It might tell you the answer?
with the data for water of β = 3.04x10-4 and α = 4.52x10-5 atm-1 at 30 ° C and 1 atm calculate: (du / dp) t =
jsusjsjjssjsjsjsjsjs
Find the orbital speed of a satellite in a geosynchronous circular orbit 3.58 x 10^7 m above the surface of the Earth.
Answer:
Therefore, the orbital speed of a satellite in a geosynchronous circular orbit 3.58 x 10^7 m above the surface of the Earth is approximately 3.07 x 10^3 m/s.
Explanation:
A geosynchronous circular orbit is an orbit in which a satellite revolves around the Earth once every 24 hours so that it appears to be stationary in the sky relative to an observer on the ground. The radius of such an orbit is known as the geostationary radius and is approximately 42,164 km or 3.58 x 10^7 m above the surface of the Earth.
To find the orbital speed of a satellite in a geosynchronous circular orbit, we can use the formula:
v = (GM / r)^0.5
Where v is the orbital speed, G is the gravitational constant (6.674 x 10^-11 N m^2/kg^2), M is the mass of the Earth (5.97 x 10^24 kg), and r is the distance from the center of the Earth to the satellite (in this case, r = 3.58 x 10^7 m + radius of the Earth).
The radius of the Earth is approximately 6,371 km or 6.371 x 10^6 m. Therefore, the distance from the center of the Earth to the satellite is:
r = 3.58 x 10^7 m + 6.371 x 10^6 m
r = 4.217 x 10^7 m
Now we can plug in the values for G, M, and r into the formula and solve for v:
v = (GM / r)^0.5
v = [(6.674 x 10^-11 N m^2/kg^2) x (5.97 x 10^24 kg) / (4.217 x 10^7 m)]^0.5
v = 3.07 x 10^3 m/s
Therefore, the orbital speed of a satellite in a geosynchronous circular orbit 3.58 x 10^7 m above the surface of the Earth is approximately 3.07 x 10^3 m/s.
Explanation:
The orbital speed of a satellite in a circular orbit around the Earth can be found using the following formula:
v = sqrt(G*M/R)
where G is the gravitational constant, M is the mass of the Earth, and R is the distance from the center of the Earth to the satellite's orbit.
For a geosynchronous orbit, the satellite has a period of 24 hours, which means it completes one orbit in 24 hours. This corresponds to an orbital radius of:
R = 3.58 x 10^7 m + 6.38 x 10^6 m = 4.22 x 10^7 m
where 6.38 x 10^6 m is the radius of the Earth.
The mass of the Earth is approximately 5.97 x 10^24 kg, and the gravitational constant is approximately 6.6743 x 10^-11 N*(m/kg)^2. Substituting these values into the equation above, we get:
v = sqrt(GM/R) = sqrt(6.6743 x 10^-11 N(m/kg)^2 * 5.97 x 10^24 kg / 4.22 x 10^7 m) = 3074 m/s
Therefore, the orbital speed of a satellite in a geosynchronous circular orbit 3.58 x 10^7 m above the surface of the Earth is approximately 3074 m/s.
Sound and light energy travel from one place to another as waves. When this happens we say that the energy is:
A) transpired
B) transferred
C) transported
D ) trans communicated
which one is the correct one ?
Answer:
B
Explanation:
transferred
Suppose your bicycle tire is fully inflated, with an absolute pressure 4.00 x 10^5 Pa at a temperature of 15.0 °C. What is the pressure after its temperature has risen to 40.0 °C? Assume that there are no appreciable leaks or changes in volume.
The pressure after the temperature has risen to 40.0 °C, assuming that there are no appreciable leaks or changes in volume is 4.35×10⁵ Pa
How do I determine the pressure at 40.0 °C?From the question given above, the following data were obtained:
Initial pressure (P₁) = 4.00×10⁵ Pa Initial temperature (T₁) = 15 °C = 15 + 273 = 288 K New temperature (T₂) = 40 °C = 40 + 273 = 313 KVolume = ConstantNew pressure (P₂) = ?The pressure the temperature has risen to 40 °C can be obtained as follow:
P₁V₁ / T₁ = P₂V₂ / T₂
Volume = contant
P₁ / T₁ = P₂ / T₂
4.00×10⁵ / 288 = P₂ / 313
Cross multiply
P₂ × 288 = 4.00×10⁵ × 313
Divide both sides by 288
P₂ = (4.00×10⁵ × 313) / 288
P₂ = 4.35×10⁵ Pa
Thus, the pressure at 40 °C is 4.35×10⁵ Pa
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The mass of a coin is measured to be 12.5±0.1 g. The diameter is 2.8±0.1 cm and the thickness 2.1 ±0.1 mm. Calculate the average density of the material from which the coin is made with its uncertainty. Give your answer in kg m-³.
with proper explanation
answer only if u know or else u know the consequences
The average density of the material from which the coin is made is 9.67 g/cm³.
Volume of the coinThe volume of the coin at the given diameter is calculated as follows;
V = Ah
where;
A is area of the coinh is the thickness of the coinV = πd²/4 x h
V = π(2.8)²/4 x (0.21 cm)
V = 1.293 cm³
average density of the coinThe average density of the material from which the coin is made is calculated as follows;
density = mass/volume
density = 12.5 g / (1.293 cm³)
density = 9.67 g/cm³
Thus, the average density of the material from which the coin is made is 9.67 g/cm³.
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Ellen was training for a bike race. One afternoon, she grabbed her helmet and took her bike out to the street. She got on the bike and started to pedal, pushing hard to start moving forward. Which of the following is better evidence that Ellen’s kinetic energy changed? A. When Ellen got on her bike, her feet were no longer touching the ground. Or B. When Ellen started pedaling her bike, she began moving along the street
Answer:
B. When Ellen started pedaling her bike, she began moving along the street
Explanation:
Kinetic energy is energy of motion. Ellen's kinetic energy changed when she went from rest to being in motion (began moving).
What is a sample that is treated exactly like the other experimental groups except that the independent variable is not applied to it is called ?
Answer:
control
Explanation:
you always need a control in experiment
please read the question and answer. it is quite complicated so someone clever please reply. many thanks :)
Answer:
If he's 500 kg and 1 kg = 10 N then it would be 5,000 N
Explanation:
The surface area is unimportant and they'll use it to trick you.
Can someone explain how to do the algebra for this question? I know everything else, I just don’t know how to rearrange the question to solve for v.
Answer:
Refer to the step-by-step Explanation.
Step-by-step Explanation:
Simplify the equation with given substitutions,
Given Equation:
\(mgh+(1/2)mv^2+(1/2)I \omega^2=(1/2)mv_{_{0}}^2+(1/2)I \omega_{_{0}}^2\)
Given Substitutions:
\(\omega=v/R\\\\ \omega_{_{0}}=v_{_{0}}/R\\\\\ I=(2/5)mR^2\)\(\hrulefill\)
Start by substituting in the appropriate values: \(mgh+(1/2)mv^2+(1/2)I \omega^2=(1/2)mv_{_{0}}^2+(1/2)I \omega_{_{0}}^2 \\\\\\\\\Longrightarrow mgh+(1/2)mv^2+(1/2)\bold{[(2/5)mR^2]} \bold{[v/R]}^2=(1/2)mv_{_{0}}^2+(1/2)\bold{[(2/5)mR^2]}\bold{[v_{_{0}}/R]}^2\)
Adjusting the equation so it easier to work with.\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2} \Big[\dfrac{2}{5} mR^2\Big]\Big[\dfrac{v}{R} \Big]^2=\dfrac12mv_{_{0}}^2+\dfrac12\Big[\dfrac25mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\)
\(\hrulefill\)
Simplifying the left-hand side of the equation:
\(mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2} \Big[\dfrac{2}{5} mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\)
Simplifying the third term.
\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2} \Big[\dfrac{2}{5} mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2}\cdot \dfrac{2}{5} \Big[mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\)
\(\\ \boxed{\left\begin{array}{ccc}\text{\Underline{Power of a Fraction Rule:}}\\\\\Big(\dfrac{a}{b}\Big)^2=\dfrac{a^2}{b^2} \end{array}\right }\)
\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v^2}{R^2} \Big]\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2 \cdot\dfrac{v^2}{R^2} \Big]\)
"R²'s" cancel, we are left with:
\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v^2}{R^2} \Big]\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5}mv^2\)
We have like terms, combine them.
\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v^2}{R^2} \Big]\\\\\\\\\Longrightarrow mgh+\dfrac{7}{10} mv^2\)
Each term has an "m" in common, factor it out.
\(\Longrightarrow m(gh+\dfrac{7}{10}v^2)\)
Now we have the following equation:
\(\Longrightarrow m(gh+\dfrac{7}{10}v^2)=\dfrac12mv_{_{0}}^2+\dfrac12\Big[\dfrac25mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\)
\(\hrulefill\)
Simplifying the right-hand side of the equation:
\(\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac12\cdot\dfrac25\Big[mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15\Big[mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15\Big[mR^2\Big]\Big[\dfrac{v_{_{0}}^2}{R^2}\Big]\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15\Big[mR^2\cdot\dfrac{v_{_{0}}^2}{R^2}\Big]\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15mv_{_{0}}^2\Big\\\\\\\\\)
\(\Longrightarrow \dfrac{7}{10}mv_{_{0}}^2\)
Now we have the equation:
\(\Longrightarrow m(gh+\dfrac{7}{10}v^2)=\dfrac{7}{10}mv_{_{0}}^2\)
\(\hrulefill\)
Now solving the equation for the variable "v":
\(m(gh+\dfrac{7}{10}v^2)=\dfrac{7}{10}mv_{_{0}}^2\)
Dividing each side by "m," this will cancel the "m" variable on each side.
\(\Longrightarrow gh+\dfrac{7}{10}v^2=\dfrac{7}{10}v_{_{0}}^2\)
Subtract the term "gh" from either side of the equation.
\(\Longrightarrow \dfrac{7}{10}v^2=\dfrac{7}{10}v_{_{0}}^2-gh\)
Multiply each side of the equation by "10/7."
\(\Longrightarrow v^2=\dfrac{10}{7}\cdot\dfrac{7}{10}v_{_{0}}^2-\dfrac{10}{7}gh\\\\\\\\\Longrightarrow v^2=v_{_{0}}^2-\dfrac{10}{7}gh\)
Now squaring both sides.
\(\Longrightarrow \boxed{\boxed{v=\sqrt{v_{_{0}}^2-\dfrac{10}{7}gh}}}\)
Thus, the simplified equation above matches the simplified equation that was given.
What is Moral subjectivism?
Answer:
What Is Moral Subjectivism? Moral subjectivism is based on an individual person's perspective of what is right or wrong. An individual can decide for themselves that they approve or disapprove of a certain behavior, and that is what determines if the behavior is right or wrong.
6. Shortly after the Big Bang occurred, about 14 billion years ago, the Universe was very hot, about 3000 K, why then today, is the CMB at about 2.7 K ?
The CMB radiation's current temperature of 2.7 Kelvin is a result of the cooling and redshifting caused by the expansion of the Universe, which has been slowing down over time due to gravity.
The Cosmic Microwave Background (CMB) radiation is a remnant of the early hot and dense Universe. About 380,000 years after the Big Bang, the Universe cooled enough to allow the formation of neutral atoms, which made it transparent to radiation. This released the CMB radiation, which has been traveling through the Universe ever since, and its temperature has been cooling due to the expansion of the Universe. The CMB radiation is currently observed at a temperature of about 2.7 Kelvin, much cooler than the early Universe's temperature of 3000 Kelvin. This cooling is due to the expansion of the Universe, which causes the radiation to redshift to lower energies and longer wavelengths. This effect is known as the cosmological redshift. Moreover, the expansion of the Universe is not constant, but rather it is slowing down due to the gravitational pull of matter. This means that the early Universe's rate of expansion was faster than it is today, causing the CMB radiation to cool more rapidly in the past.
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3) 1 Gradient Descent 1. 13 points We often use iterative optimization algorithans such as Gradient Descent to find w that min imizes a los function f(w). Recall that in gradient descent, we start with an initial value of w (say w) and iteratively take a step in the direction of the negative of the gradient of the objective function e. wit++) = w) - 7/(w() for learning rate x > 0. In this question, we will develop a slightly deeper understanding of this update rule, in par- ticular for minimizing a convex function f(w). Note: this analysis will not directly carry over to training mural networks since los functions for training neural networks are typically not convex, but this will (a) develop intuition and (b) provide a starting point for research in Hot-convex optimization (which is beyond the scope of this class) Recall the first-order Taylor approximation of at wa), f(w) f(w'))+ (w - w f(w) (2) When is convex, this approximation forms a lower bound of /. 4.6. f(w) /(w'))+ (w - w')/(w"> VW atline lower bound to / Since this approximation is a 'simpler function than ), we could consider minimizing the approximation instead of ). Two immediate problems: (1) the approximation is affine (thus unbounded from below) and (2) the approximation is faithful for w close to wle). To solve both problems, we add a squared (2 proximity term to the approximation minimization: argmin/(w) + (w - W.5/(w) + (4) affine lower bound to YO trade-off percimity term Notice that the optimization problem above is an unconstrained quadratic programming prob- kom, meaning that it can be solved in closed form (hint: gradients). What is the solution w of the above optimization? What does that tell you about the gradient descent update rule? What is the relationship between A and ? 2. 14 points Let's prove a lomma that will initially seem devoid of the rest of the analysis but will come in handy in the next sub-question when we start combining things. Specifically, the analysis in this sub-question holds for any w but in the next sub-question we will use it for that minimize f(w). Consider a sequence of vectors V1 V2.. Vr, and an update equation of the form w(+1) w) - w with wil) = 0. Show that: WE wo 21
(1) + 1) (w(1) - w(2) + 1) ... (w(r - 1) - w(r) + 1) (5) Proof: We will prove this statement by induction. First, for n = 1, the statement is true: wc) - w(1) + 1 = w(1). Now, assume that the statement holds for n = r.
What is induction ?Induction is a type of reasoning that involves making inferences based on observations and facts. It is a form of logical reasoning that enables us to use observations to make generalizations about a certain phenomenon. It is used to form hypotheses and draw conclusions. Induction can be used to develop theories, evaluate evidence, and make predictions. Induction is often used in scientific research as a way to test theories and make predictions about the behavior of a system or phenomenon. It is a powerful tool for making sense of data and providing insights into how things work.
Then, for n = r + 1, we have: w(r+1) = w(r) - x(w(r) - w(r+1)) + 1 = (w(r) - w(r+1) + 1) + (w(r-1) - w(r) + 1) + ... + (w(1) - w(2) + 1) + w(1) which confirms the statement.
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please help me in this question pls
a) Yes, the force of thrust of the engine does work as it is causing the plane to accelerate and lift off the ground.
b) Yes, the kinetic energy of the plane increases as it takes off and gains speed.
c) Yes, the gravitational potential energy of the plane increases as it gains height.
d) Yes, the force of thrust of the engine changes the mechanical energy of the plane.
What is Kinetic energy?The kinetic energy of an object is the form of energy that it possesses due to its motion which is also defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.
The work done by the engine's thrust increases the plane's kinetic energy and gravitational potential energy, thereby changing its mechanical energy.
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you made $100,000 this year. you have $0 in adjustments, $11,500 in deductions and $7,300 in exemptions. What is your taxable increase?
The tax rate you will pay is displayed in tax brackets for each category of taxable income.
Thus, For instance, in 2022, the first $10,275 of your taxable income is subject to the lowest tax rate of 10% if you are single.
Up until the maximum amount of your taxable income, the following portion of your income is taxed at a rate of 12%.
As taxable income rises, the tax rate rises under the progressive tax system. Overall, this has the result that taxpayers with higher incomes often pay a greater rate of income tax than taxpayers with lower incomes.
Thus, The tax rate you will pay is displayed in tax brackets for each category of taxable income.
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Part F
Imagine you were a sportscaster at the Olympics. You'd created a mathematical model similar to the one you just did. Imagine that you had a
computer program that could do an instantaneous analysis of video motion using that model. How could you use it in your sportscast?
A program that could do an instantaneous analysis of video motion will be useful it in a sportscast to analyze events as they occur.
Why will a program be needed?A motion video is defined as the display of video images at a rate (such as thirty frames per second) that causes objects to appear to move smoothly and continuously.
Sports inherently involve fast and accurate motion, which can be difficult for competitors to master but also for coaches and trainers to analyze and audiences to follow. Because of the nature of most sports, monitoring with sensors or other devices attached to players or equipment is generally not possible. This opens up a plethora of opportunities for the use of computer vision techniques to assist competitors, coaches, and the audience
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Please provide an explanation.
Thank you!!
Answer:
(a) 22 kN
(b) 36 kN, 29 kN
(c) left will decrease, right will increase
(d) 43 kN
Explanation:
(a) When the truck is off the bridge, there are 3 forces on the bridge.
Reaction force F₁ pushing up at the first support,
reaction force F₂ pushing up at the second support,
and weight force Mg pulling down at the middle of the bridge.
Sum the torques about the second support. (Remember that the magnitude of torque is force times the perpendicular distance. Take counterclockwise to be positive.)
∑τ = Iα
(Mg) (0.3 L) − F₁ (0.6 L) = 0
F₁ (0.6 L) = (Mg) (0.3 L)
F₁ = ½ Mg
F₁ = ½ (44.0 kN)
F₁ = 22.0 kN
(b) This time, we have the added force of the truck's weight.
Using the same logic as part (a), we sum the torques about the second support:
∑τ = Iα
(Mg) (0.3 L) + (mg) (0.4 L) − F₁ (0.6 L) = 0
F₁ (0.6 L) = (Mg) (0.3 L) + (mg) (0.4 L)
F₁ = ½ Mg + ⅔ mg
F₁ = ½ (44.0 kN) + ⅔ (21.0 kN)
F₁ = 36.0 kN
Now sum the torques about the first support:
∑τ = Iα
-(Mg) (0.3 L) − (mg) (0.2 L) + F₂ (0.6 L) = 0
F₂ (0.6 L) = (Mg) (0.3 L) + (mg) (0.2 L)
F₂ = ½ Mg + ⅓ mg
F₂ = ½ (44.0 kN) + ⅓ (21.0 kN)
F₂ = 29.0 kN
Alternatively, sum the forces in the y direction.
∑F = ma
F₁ + F₂ − Mg − mg = 0
F₂ = Mg + mg − F₁
F₂ = 44.0 kN + 21.0 kN − 36.0 kN
F₂ = 29.0 kN
(c) If we say x is the distance between the truck and the first support, then using our equations from part (b):
F₁ (0.6 L) = (Mg) (0.3 L) + (mg) (0.6 L − x)
F₂ (0.6 L) = (Mg) (0.3 L) + (mg) (x)
As x increases, F₁ decreases and F₂ increases.
(d) Using our equation from part (c), when x = 0.6 L, F₂ is:
F₂ (0.6 L) = (Mg) (0.3 L) + (mg) (0.6 L)
F₂ = ½ Mg + mg
F₂ = ½ (44.0 kN) + 21.0 kN
F₂ = 43.0 kN
Answer:
a. Left support = Right support = 22 kNb. Left support = 36 kN Right support = 29 kNc. Left support force will decrease Right support force will increase.d. Right support = 43 kNExplanation:
given:
weight of bridge = 44 kN
weight of truck = 21 kN
a) truck is off the bridge
since the bridge is symmetrical, left support is equal to right support.
Left support = Right support = 44/2
Left support = Right support = 22 kN
b) truck is positioned as shown.
to get the reaction at left support, take moment from right support = 0
∑M at Right support = 0
Left support (0.6) - weight of bridge (0.3) - weight of truck (0.4) = 0
Left support = 44 (0.3) + 21 (0.4)
0.6
Left support = 36 kN
Right support = weight of bridge + weight of truck - Left support
Right support = 44 + 21 - 36
Right support = 29 kN
c)
as the truck continues to drive to the right, Left support will decrease
as the truck get closer to the right support, Right support will increase.
d) truck is directly under the right support, find reaction at Right support?
∑M at Left support = 0
Right support (0.6) - weight of bridge (0.3) - weight of truck (0.6) = 0
Right support = 44 (0.3) + 21 (0.6)
0.6
Right support = 43 kN
1. Ignoring air resistance, a 1.4 kg metal can was dropped from an unknown height. Just before it hits the ground, the metal can had a velocity of 3.8 m/s. Find the height the can was dropped from.
Answer:
The can was dropped from a height of 0.74 meters.
Explanation:
We can use the Conservation of Energy to evaluate the height.
The formula for the Conservation of Energy is
\(\frac{1}{2} mv^2=mgh\)
Lets solve for \(h\).
Cancel the common factor of \(m\).
\(\frac{1}{2} v^2=gh\)
Rewrite \(\frac{1}{2} v^2\) as \(\frac{v^2}{2}\) .
\(\frac{v^2}{2}=gh\)
Multiply both sides by 2.
\(v^2=2gh\)
Divide both sides by \(2g\).
\(\frac{v^2}{2g}=h\)
Numerical Evaluation
We are given
\(v=3.8\\g=9.81\)
Substituting our values into our equation for height gives us
\(h=\frac{3.8^2}{2*9.81}\)
Evaluate \(3.8^2\).
\(h=\frac{14.44}{2*9.81}\)
Multiply \(2\) and \(9.81\).
\(h=\frac{14.44}{19.62}\)
\(h=0.736235\)
Note: We also could have solved this using the kinematics equations. Both methods give you the same answer.
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How are igneous rocks formed?
They are formed from cooled magma.
They are hot magma the moment it is expelled from a volcano.
They are formed over many years of pressure and heat within Earth.
They are formed from sediments that collected in ocean beds.
Answer:
What are igneous rocks?
Igneous rocks (from the Latin word for fire) form when hot, molten rock crystallizes and solidifies. The melt originates deep within the Earth near active plate boundaries or hot spots, then rises toward the surface. Igneous rocks are divided into two groups, intrusive or extrusive, depending upon where the molten rock solidifies
When using the lens equation, a negative value as the solution for di indicates that the image is
Answer:
The Anatomy of a Lens
Refraction by Lenses
Image Formation Revisited
Converging Lenses - Ray Diagrams
Converging Lenses - Object-Image Relations
Diverging Lenses - Ray Diagrams
Diverging Lenses - Object-Image Relations
The Mathematics of Lenses
Ray diagrams can be used to determine the image location, size, orientation and type of image formed of objects when placed at a given location in front of a lens. The use of these diagrams was demonstrated earlier in Lesson 5 for both converging and diverging lenses. Ray diagrams provide useful information about object-image relationships, yet fail to provide the information in a quantitative form. While a ray diagram may help one determine the approximate location and size of the image, it will not provide numerical information about image distance and image size. To obtain this type of numerical information, it is necessary to use the Lens Equation and the Magnification Equation. The lens equation expresses the quantitative relationship between the object distance (do), the image distance (di), and the focal length (f)
Where is the near point of an eye for which a spectacle lens of power +2 D is prescribed for reading purpose?
The near point of a human eye is about a distance of 25 cm.
The closest distance that an object may be viewed clearly without straining is known as the near point of the eye.
This distance (the shortest at which a distinct image may be seen) is 25 cm for a typical human eye.
The closest point within the accommodation range of the eye at which an object may be positioned while still forming a focused picture on the retina is also referred to as the near point.
In order to focus on an item at the average near point distance, a person with hyperopia must have a near point that is further away than the typical near point for someone of their age.
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There are 100000 billion billion ......systems
What are some important attitudes to keep in mind when working with parents and families with special needs?
Answer:
You need to be patient with them. Also, a positive attitude is the single most important quality for anyone who works with children with special needs. I’ve seen highly trained specialists unable to interact with Louie because of their negative attitude and assumptions