Answers
Given,
The length of the side of the square, L=80 cm=0.8 m
The force applied, F=60 N
The distance between the centre and the point where the force is applied is given by,
\(\begin{gathered} d=\sqrt[]{0.4^2+0.4^2} \\ =0.16\text{ m} \end{gathered}\)The torque at the centre is given by,
\(\tau=F\times d\)On substituting the know values,
\(\begin{gathered} \tau=60\times0.16 \\ =9.6\text{ Nm} \end{gathered}\)Thus the torque about the center of the square is 9.6 Nm
Related Questions
Two teams are having a tug of war. The team on the left is pulling with 700 N of force. The team on the right is pulling with 900 N of force.
Which direction will the rope move in?
a( nowhere, the forces are balanced
b( to the right
c( to the left
Answers
Answer:
B - to the right
Explanation:
Since the team on the right pulls with greater force than the team to the left, the rope will move to the right.
what is the most effortless walking speed for a person with 90cm long legs if the length of each step is 90cm
Answers
Answer:
75 cm/second.
Explanation:
Formula:
Walking speed = stride length / time per step
Walking speed = 90cm/time per step
= 90cm/1.2 seconds (a common estimate time per step)
= 75cm/second.
In the text "White House Press Release Announcing the Bombing of Hiroshima August 6, 1945" by President Truman, in which country was the atomic bomb developed?
A. Germany
B. The United States
C. The United Kingdom
D. Japan
Answers
Japan is the answer
In the text "White House Press Release Announcing the Bombing of Hiroshima August 6, 1945" by President Truman, the atomic bomb was developed by the United States. Therefore, the correct answer is B. The United States.
During World War II, a top-secret project known as the Manhattan Project was conducted by the United States. The goal of this project was to develop an atomic bomb. The research and development efforts were led by American scientists, engineers, and military personnel. The project involved numerous facilities across the United States, including Los Alamos, New Mexico, where the final design and testing of the atomic bomb took place.
President Truman's press release announcing the bombing of Hiroshima on August 6, 1945, indicates that the United States successfully developed and deployed the atomic bomb. This historical event marked the first use of atomic weapons in warfare and had a significant impact on the outcome of World War II.
Therefore, based on the context of President Truman's press release and the historical record, it is clear that the atomic bomb was developed by the United States. Therefore, the correct answer is B.
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If the air inside a balloon exerts a force of 1 N on an area of 0.5 m^2 what is the pressure inside the balloon
Answers
Answer:
2 Pascal (Pa)
Explanation:
Pressure is defined as the force acting per unit area. Mathematically, it is expressed as:
Pressure (P) = Force (F) / Area (A)
Given:
Force exerted by the air inside the balloon (F) = 1 N
Area of the balloon (A) = 0.5 m^2
Plugging in the given values into the formula for pressure, we get:
P = F / A
P = 1 N / 0.5 m^2
Using basic arithmetic, we can calculate the pressure inside the balloon:
P = 2 N/m^2
So, the pressure inside the balloon is 2 N/m^2, which is also commonly referred to as 2 Pascal (Pa) since 1 Pascal is equal to 1 N/m^2.
A plate of iron at 20 °C has shown in the figure below. If the temperature
raised to 100 °C and the coefficient of linear expansion of iron is 1.1 x 10-7 o
1, then what is the final area of the plate?
(5
2 m
2 m
Answers
The final area of the plate is 4.0000352 \(m^2\) if the temperature raised to 100 °C and the coefficient of linear expansion of iron is 1.1 x 10-7.
Expecting that the plate of iron is rectangular, we can involve the recipe for warm extension of solids to compute the last region of the plate. The equation for direct warm development is given by ΔL = αLΔT, where ΔL is the adjustment of length, α is the coefficient of straight extension, L is the first length, and ΔT is the adjustment of temperature.
Since the region of the plate is given by A = L*W, where L is the length and W is the width, we can involve the equation for straight warm extension to compute the adjustment of length of the plate and afterward use it to compute the last region.
ΔL = αLΔT = \((1.1 x 10^-7 m/oC)(2 m)(80 oC) = 1.76 x 10^-5 m\)
The last length of the plate is L + ΔL = 2 m + 1.76 x \(10^-5\) m = 2.0000176 m (approx.)
The last width of the plate is thought to be unaltered as it isn't impacted by the adjustment of temperature.
Thusly, the last region of the plate is A = L*W = (2.0000176 m)(2 m) = 4.0000352 \(m^2\) (approx.)
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A new band sensation is playing a concert and recording it for a live album to be released this summer. The band asks the sound mixer if he can autotune
the singer who has a habit of singing slightly lower than the note.
What would the mixer need to do to the sound wave? How would it affect the characteristics of the wave?
Answers
The sound mixer will need to increase the amplitude of the sound wave produced by the singer which will increase the loudness of the sound.
Amplitude of sound waveThe amplitude of a sound wave is the maximum vertical displacement of the sound wave.
The sound mixer will need to increase the amplitude of the sound wave produced by the singer.
The increase in the amplitude of the sound wave produced by the lower tune singer will result in increased loudness of the sound.
Thus, the sound mixer will need to increase the amplitude of the sound wave produced by the singer which will increase the loudness of the sound.
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A light, inextensible cord passes over alight, frictionless pulley with a radius of15 cm. It has a(n) 18 kg mass on the left and a(n) 2.6 kg mass on the right, both hanging freely. Initially their center of masses are a vertical distance 1.5 m apart.The acceleration of gravity is 9.8 m/s².
At what rate are the two masses accelerating when they pass each other answer in units of m/s^2
Answers
Answer:
quizlet
Explanation:
they help
On the same object as in the previous question, you have to pus
with 15 N to move it 10 meters. How much work do you do?
Answers
Answer:
150 J
Explanation:
To find the work done by pushing the object with a force of 15 N over a distance of 10 meters, we can use the equation:
Work = Force × Distance × cos(θ)
Where:
Force is the applied force (15 N)
Distance is the distance over which the force is applied (10 m)
θ is the angle between the force vector and the direction of motion. In this case, we assume that the force is applied in the same direction as the motion, so θ = 0 degrees, and cos(θ) = 1.
Substituting the given values:
Work = 15 N × 10 m × cos(0) = 150 J
.
what evidence supports the information consolidation theory?
PLEASE HELP ME ITS DUE NEXT PERIOD
Answers
Explanation:
Memory loss in retrograde amnesia has long been held to be larger for recent periods than for remote periods, a pattern usually referred to as the Ribot gradient. One explanation for this gradient is consolidation of long-term memories. Several computational models of such a process have shown how consolidation can explain characteristics of amnesia, but they have not elucidated how consolidation must be envisaged. Here findings are reviewed that shed light on how consolidation may be implemented in the brain. Moreover, consolidation is contrasted with alternative theories of the Ribot gradient. Consolidation theory, multiple trace theory, and semantization can all handle some findings well but not others.
Voltage
Depends on the amount of resistance
Depends on the amount of current
Is the measurement of electrical pressure
All of the above
Answers
Voltage depends on the amount of resistance, current according to the Ohm's law, and, by definition, is the measurement of electrical pressure.
According to the Ohm's Law, the current through a conductor between two points is directly proportional to the voltage across the two points.
Mathematically,
V ∝ I
V = IR
where, R is the resistance of the conductor and I is the current flowing in the conductor. So, the voltage depends on the amount of resistance and current.
Also, Voltage is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light.
Hence All of the above option in the given question are true.
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Calculate the acceleration due to gravity at Earth due to the Moon. (b) Calculate the acceleration due to gravity at Earth due to the Sun.
Answers
Answer:
a) g’= 3.44 10⁻⁵ m / s²
b) g ‘’ = 5.934 10⁻³ m / s²
Explanation:
For this exercise let's use the law of universal gravitation
F = \(G \frac{m M}{r^2}\)
where m is the mass of the body under study, M the mass of the body that creates the force and r the distance between the bodies
F = \(m \ ( G \frac{M}{r^2} )\)
the attractive force is called weight W = m g,
Thus
g = \(G \frac{M}{r^2}\)
is called the acceleration of gravity
a) the acceleration created by the moon
g' = G \frac{M}{r^2}
the mass of the moon is M = 7.36 10²² kg
the distance from the moon to the Earth's surface is
r = D -R_e
r = 3.84 10⁸ -6.37 10⁶
r = 3.7763 10⁸ m
we calculate
g’= \(6.67 \ 10^{-11} \ \frac{7.36 \ 10^{22}}{ (3.7763 \ 10^8)^2}\)
g ’= 3.44 10⁻⁵ m / s²
b) the acceleration created by the sun
mass of the sun M = 1,9991 10³⁰ ka
the distance from the sun wears down the Earth's surface
r = D -R_e
r = 1.496 10¹¹ -6.37 10⁶
r = 1.4959 10¹¹ m
let's calculate
g ’’ = \(6.67 \ 10^{-11} \frac{1.991 \ 10^{30}}{ (1.4959 \ 10^{11})^2 }\)
g ‘’ = 5.934 10⁻³ m / s²
Write a letter to an influential person about how and why to take action on climate change.
Answers
Take action on climate change has a positive effect on health of organisms and environment.
How and why to take action on climate change?Spread awareness and encourage friends, family and co-workers to reduce carbon pollution, reduce burning of fossil fuels by using electrical vehicle and devices. Always buy sustainable products and avoid the use of plastics.
We have to take action on climate change because it improved health, maintain the population of organism, and reduced inequality. So we can conclude that take action on climate change has a positive effect on health of organisms and environment.
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If Sherry took her pulse for 6 seconds and felt 14 beats, What would her heart rate be?
Answers
Answer:
140 beats per minute
Explanation:
You have to multiply the ratio 14 beats/6 seconds by 10 because 6 seconds times 10 to get 1 minute. The answer you get is 140 beats/60 seconds.
Given the functions f(x)=(1/x-3)+1 and g(x) = (1/1+4)+3
Which statement describes the transformation of the graph of function f onto the graph of function g?
O The graph shifts 2 units right and 7 units down.
O The graph shifts 7 units left and 2 units up.
O
e graph shifts 7 units right and 2 units down.
O The graph shifts 2 units left and 7 units up.
Answers
The statement that describes the transformation of the graph of function f onto the graph of function g is: The graph shifts 2 units right and 7 units down.
To determine the transformation of the graph of function f onto the graph of function g, we compare the two functions f(x) and g(x) and observe the changes in the equations.
The function f(x) = (1/x - 3) + 1 represents a reciprocal function that is shifted vertically 1 unit up and horizontally 3 units to the right. The reciprocal function is reflected about the line y = x.
The function g(x) = (1/(1 + 4)) + 3 simplifies to g(x) = 4 + 3 = 7, which is a constant function representing a horizontal line at y = 7.
By comparing the equations, we can see that the transformation from f(x) to g(x) involves the following changes:
The term 1/x in f(x) is replaced by the constant 1/(1 + 4) in g(x), resulting in a vertical shift of 7 units up.
The term -3 in f(x) is replaced by 3 in g(x), resulting in a vertical shift of 3 units up.
The +1 in f(x) is replaced by +3 in g(x), resulting in an additional vertical shift of 2 units up.
Therefore, the overall transformation is a shift of 2 units to the right and 7 units down.
Hence, the correct statement is: The graph shifts 2 units right and 7 units down.
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Assume that the car on the left makes a quick turn to the left. According to inertia, your body will resist a change and still want to go in the original direction. In which direction with the passenger slide?
Answers
Answer:
to the right
Explanation:
if the car turns to the lift, the body forces energy to the left side, so according to the first law of Newton, the body will move to the right side to resist the sudden motion.
sliding a box is work against friction.
Answers
Answer:
If you are reffering true or false, its true! <3
Answer:
yes, sliding a box is work against friction .
A particle is in simple harmonic motion
along the x-axis. The amplitude of the
oscillation is A and its period is T. If at t
= 0 the particle is at x = +A, then at t =
1.25T, the particle is:
O between x = 0 and x = +A and is
travelling toward x = -A
O between x = 0 and x = +A and is
travelling toward x = +A
O at x = 0 and is travelling toward x = -A
O between x = 0 and x = -A and is
travelling toward x = -A
O at x = 0 and is travelling toward x = +A
Answers
Answer:
After 1 period t = T the particle is back where it started
In 1/4 period it will move back to the origin and be moving towards -A
Looks like the 3'd choice should be correct
what is the frequency of a wave that had a wavelength of 15m and is traveling at 135 m/s
Answers
f=v/wavelength
=135/15=9 Hz
Scientists seek to acquire knowledge and understanding of the real world through the formulation, testing, and evaluation of what?
A. technology
B. scientific method
C. scientific hypothesis
D. deductive reasoning
Answers
Scientists seek to acquire knowledge and understanding of the real world through the formulation, testing, and evaluation of scientific hypotheses (Option C).
What are scientific hypotheses?Scientific hypotheses are explanations about questions of the real world that can be used to test them by using the scientific method, i.e., by testing them to confirm or reject their assumptions through experimental and observation procedures.
Therefore, with this data, we can see that a scientific hypothesis is formulated and tested by using the scientific method in order to confirm or reject its assumptions and thus build scientific knowledge.
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Answer:
Scientific hypothesis
Explanation:
Which of the following facts are true about ground level ozone?
a. O3 and primary pollutant
b. O3 and secondary pollutant
c. O2 and primary pollutant
Answers
Answer:
O2 and primary pollutant
An object with an acceleration of 10 m/s2 will ____
Answers
Answer:
Change its velocity by 10 m/s in 1s
Explanation:
a 5 L container has a mixture of 4 moles of carbon dioxide, three moles of oxygen and 5 moles of nitrogen. If the total pressure of the container is 123 kPa, what is the partial pressure of the oxygen in the container?
Answers
To solve this problem, we have to use Dalton's Law about partial pressure.
\(P_{total}=P_{carbon}+P_{nitrogen}+P_{oxygen}\)However, we have to use the following formula to find each pressure.
\(P_{\text{gas}}=x_1\cdot P_{Total}\)Where x refers to the fraction molar relation between the moles of the whole container and the moles of each gas.
Let's apply the formula to each gas
\(\begin{gathered} P_{\text{carbon}}=\frac{4\text{mol}}{16\text{mol}}\cdot123kPa_{} \\ P_{\text{carbon}}=30.75kPa \\ P_{\text{nitrogen}}=\frac{5\text{mol}}{16\text{mol}}\cdot123\text{kPa} \\ P_{\text{nitrogen}}=38.44kPa \\ P_{\text{oxygen}}=\frac{3\text{mol}}{16\text{mol}}\cdot123\text{kPa}=23.06kPa \end{gathered}\)Therefore, the partial pressure of the oxygen is 23.06 kPa, approximately.Has anyone has the answers for Physical Education # 12 cross word and the word search?
Answers
Answer:
No
Explanation:
the answers, they seemed to be blocked on go.ogle
Pete is driving down 7th street, He drives 150 meters in 18 seconds, Assumning he does not speed up orslow down, what is his average speed in m/s?
Answers
Given data,
Distance travelled by pete.
\(d=150\text{ m}\)Time taken by pete.
\(t=18\text{ sec}\)Consider the formula for speed.
\(s=\frac{d}{t}\)Substitute the given values.
\(\begin{gathered} s=\frac{150\text{ m}}{18\text{ sec}} \\ s=8.3\text{ m/sec.} \end{gathered}\)Therefore, the average speed in m/s is 8.3 m/sec.
assume that the air consists entirely of nitrogen and that the pressure of the gas stays constant how much heat is supplied by body to warm the air
Answers
Charles' law stipulates that the volume of a given amount of gas is exactly related to its temperature on the kelvin scale while the pressure is held constant.
What is nitrogen most frequently used for?
On nitrogen, the chemical industry depends. It is used to make fertilizers, dyes, nylon, nitric acid, and explosives. To make these products, nitrogen must first be coupled with hydrogen to make ammonia. For this, the Haber process is employed.
Is nitrogen bad for people?
People lose their lives every year by breathing "air" with insufficient oxygen. Many people believe nitrogen gas is safe because it makes up 78 percent of the air we breathe. However, breathing nitrogen is only safe when it is combined with the right proportion of other gases.
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A uniform meter stick pivoted at its center has a 155-g mass suspended at the 18.5-cm position and a25.0-g mass suspended at the 38.4-cm position. At what position should a 275-g mass be suspendedto put the system into equilibrium?
Answers
We have the next diagram
In order to have the system in equilibrium, we will analyze the torque on the pivot
\(\sum ^{}_{}\tau=F_1d_1-F_2d_2+F_3d_3=0\)In this case
F1=0.155(9.8)
F2=0.025(9.8)
F3=0.275(9.8)
The distances
d1=50-18.5=31.5cm=0.315 m
d2=50-38.4=11.6cm=0.116 m
We substitute
\((0.155)(9.8)(0.315)-(0.025)(9.8)(0.116)+(0.275)(9.8)d_3=0\)then we isolate the d3
\(d_3=\frac{0.155(0.315)+(0.025)(0.116)}{0.275}=0.188m_{}\)d3=0.188m=18.8cm
From the beginning of the uniform meter stick will be 50+18.8=68.8cm
ANSWER
d3=18.8cm
From the beginning of the uniform meter is 68.8cm
A box with weight of magnitude F_G = 2.00 N is lowered by a rope down a smooth plane that is inclined at an angle φ = 30.0 degrees about ve the horizontal. The normal force acting on the box has a magnitude n = 1.73 N, the tension force is 1.00 N, and the displacement Δr of the box is 1.80 m down the cloned plane.
What is the work W_G done on the box by the gravity?
Answers
Answer:
1.8 J
Explanation:
I had this exact question today and found someone who had solved it before, this was their response to the work done by gravity. They used the name "physicsmom"
Vertical distance = 1.8 sin 30 = .9 m
W = 2 N * .9 m = 1.8J
Good luck! I hope this helps!
The work done on the box by the gravity is 0.072 J.
The given parameters;
weight of the box, \(F_g\) = 2 Ninclination of the rope, φ = 30⁰normal force acting on the box, n = 1.73 Ntension on the rope, T = 1 Ndisplacement of the box, Δr = 1.8 mThe work done on the box by gravity is calculated as follows;
W = FΔr
where;
F is the net horizontal force on the block
The net horizontal force on the box is calculated as follows;
\(\Sigma F_x = F_g sin(\theta ) - F_k\\\\ \Sigma F_x = F_g sin(\theta ) - \mu_k F_n \\\\ \Sigma F_x = 2 \times sin(30 ) - (tan \theta) \times F_n\\\\ \Sigma F_x = 1 - (tan\ 30) \times 1.73\\\\ \Sigma F_x = 0.04 \ N\)
The work done on the box by gravity is calculated as;
W = 0.04 x 1.8
W = 0.072 J.
Thus, the work done on the box by the gravity is 0.072 J.
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If the period of a certain wave (wavelength = 4.5 m) is 2 seconds, what is the speed of the wave?1) 0.44 m/s2) 1.1 m/s3) 9.0 m/s4) 2.3 m/s
Answers
Given data:
*The given wavelength of the wave is
\(\lambda=4.5\text{ m}\)*The given time is t = 2 s
The formula for the speed of the wave is given as
\(v=\frac{\lambda}{t}\)Substitute the known values in the above expression as
\(\begin{gathered} v=\frac{4.5}{2} \\ =2.25\text{ m/s} \\ \approx2.3\text{ m/s} \end{gathered}\)Hence, the speed of the wave is v = 2.3 m/s and the correct option is (4)
When is the kinetic energy of an electron transformed into potential energy?
when it interacts with other electrons, decreasing its speed
when it interacts with neutrons without changing its speed
when it interacts with other electrons without changing its speed
when it interacts with neutrons, increasing its speed
Answers
The kinetic energy of an electron transformed into potential energy when it interacts with other electrons without changing its speed.
What is kinetic energy?The average kinetic energy (KE) is defined as the one-half of the mass of each gas molecule times multiplied by the square of RMS velocity.
\(\rm {KE = \frac{1}{2} mv^2}\)
where,
KE is the kinetic energy
m is the mass of each molecule
(V)rms is the RMS velocity
According to the law of conservation of energy, kinetic energy gets converted into potential energy. In that case, speed does not play a major role.
When an electron collides with the other electron Its energy gets transferred to the other electrons. The moving electrons get stuck and come to rest.
Hence the kinetic energy of an electron transformed into potential energy when it interacts with other electrons without changing its speed.
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A non-conducting spherical thick shell, of inner radius a and outer radius 2a, carries a charge per unit volume density. Calculate the electrostatic potential energy of this system g
Answers
Answer: Electrostatic potential energy of the given system is
U=1/4π∈*(96/5)*Q²/a
Explanation:
consider spherical shell of inner radius a (taken as x) and outer radius 2a ,carrying charge Q and volume charge density ρ=Q/4π(2a)³...........................(1)
then voume of the shell=4πx²dx
charge on the shell inner part of the shell.q1=4πx²dx ρ
charge on this ,in case of sphereical type,q2=4/3*πx³ ρ
then electrostatic energy of sperical charge of radius a (which we taken as x) and sperical shell of radius x and thickness dx is,
dU=1/4π∈ *(q1q2)/x
by placing value of q1 and q2 from above , we will get a equation
dU=1/4π∈*(16/3*π²ρ²x \(x^{4}\)dx
then total electrostatic energy of sperical charge by integrating from limit a to 2a and putting value of ρ then we will get
U=1/4π∈*(96/5)Q²/a