The time for one swing of a pendulum across a river is 9.3 seconds calculated using the formula T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
We can solve this problem using the formula for the period of a simple pendulum:
T = 2π√(L/g)
where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
In this case, the length of the pendulum is equal to the distance from the bridge to the point directly below it in the river, plus the width of the river:
L = 130.0 m + 16.0 m = 146.0 m
The acceleration due to gravity is approximately 9.81 m/s².
Substituting these values into the formula, we get:
T = 2π√(L/g) = 2π√(146.0 m / 9.81 m/s²) = 9.3 s (rounded to one decimal place)
Therefore, it takes approximately 9.3 seconds for the letter to make one swing across the river.
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how will you include physical fitness in your life?
Answer:
I get up at 5 in the morning exercise then take a shower then go back to sleep till it's time to eat breakfast and go to school. Then at 7 or 8 o clock pm after i eat dinner at 5 i exercise at 7 then take a shower and then go to bed i do this everyday.
Explanation:
Getting off the couch or out of your seat to start walking, running, bicycling, swimming or other activity may help you lead a healthier and happier life. ... Those activities can include walking briskly, gardening, bicycling slowly or even ballroom dancing.
How to integrate 1/ 1 + x2
The integral of 1/(1 + x²) is (1/2)ln|1 + x²| + C where C is the constant of integration.
Integration is a mathematical process of finding the antiderivative of a function. To integrate the given expression 1/(1 + x²), we will use the substitution method.
Let u = 1 + x², du/dx = 2x dx, then dx = du/2x and the integral becomes:
∫1/(1 + x²) dx = ∫1/u * (1/2x) du= (1/2)∫1/u du
The antiderivative of 1/u is ln|u| + C, where C is the constant of integration.
Therefore, the final solution of the integral is (1/2)ln|1 + x²| + C.
Let us work through the steps:
Step 1:Let u = 1 + x² and then differentiate both sides with respect to x to obtain du/dx. du/dx = 2x
Substitute 2x dx = du into the integral ∫1/(1 + x²) dx to get the integral in terms of u:∫1/u * (1/2x) du = (1/2) ∫1/u du
Step 2:Calculate the antiderivative of 1/u, which is ln|u|. Thus, the final solution is (1/2)ln|1 + x²| + C, where C is the constant of integration. The constant C will vary depending on the initial conditions of the problem.
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Liquids and solids are:
a- compressible and expandable.
b- incompressible and non-expandable.
c- incompressible and expandable.
Answer:
incompressible and expandable
A sample of hydrogen (H2) gas was collected over water at 60°C. If the total volume of gas collected was 55.6 mL and the atmospheric pressure was 1.1 bar, what mass (in g) of hydrogen gas was collected above the water? The vapour pressure of water at 60°C is 150 torr.
First, calculate the partial pressure of H2 by considering the total pressure:
\(P_{\text{tot}}=P_{H2}+P_{H20}\)where,
Ptot = 1.1bar
PH20 = 150Torr
Convert the previous values to atm:
Ptot = 1.1 bar = 1.085 atm
PH20 = 150 Torr = 0.197 atm
Then, for PH2 you obtain:
\(P_{H2}=P_{\text{tot}}-P_{H20}=1.085\text{atm-}0.197\text{atm}=0.888atm\)Next, use the following equation for ideal gases:
\(PV=\text{nRT}\)where,
V: volume = 55.65mL = 0.05565 L
R: gas constant = 0.082 atm*L/mol*K
T: temperature = 60 + 273 = 333K
P: partial pressure of H2 = 0.888atm
Solve the equation for n and replace the values of the other parameters:
\(n=\frac{PV}{RT}=\frac{(0.888atm)(0.05565L)}{(0.082atm\cdot\frac{L}{\text{mol}\cdot K})(333K)}=0.00181mol\)Next, use the atomic weight to determine the mass of H2:
\(M=(\frac{2.0141g}{\text{mol}})(0.00181mol)=0.0036g\)Hence, there are 0.0036 g of H2 collected above the water
a typical shooting star in a meteor shower is caused by a ________ entering earth's atmosphere.
A typical shooting star in a meteor shower is caused by a meteor entering Earth's atmosphere.
A shooting star, also known as a meteor, is caused by a small piece of interplanetary debris, called a meteoroid, entering the Earth's atmosphere at high speed. As the meteoroid enters the atmosphere, it rapidly compresses the air in front of it, creating a shock wave that heats up the meteoroid and the surrounding air.
This produces a bright, glowing trail of ionized gas, which we see as a shooting star. Most meteoroids burn up completely in the atmosphere due to the extreme heat generated by friction with the air molecules. However, if a large enough meteoroid survives atmospheric entry and reaches the ground, it is then called a meteorite. Meteor showers occur when the Earth passes through the debris trail left by a comet or asteroid.
Thus, a typical shooting star in a meteor shower is caused by a meteor entering Earth's atmosphere.
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Which describes the water-pool mirage commonly seen on roadways?
It is due to light from the sky that is refracted upward to an observer by a layer of hot air.
It is due to light that reflects from the road and then is refracted back down to an observer by a layer of hot air.
It is due to light that reflects from the road surface to the observer.
The water-pool mirage commonly seen on roadways is described as: "It is due to light from the sky that is refracted upward to an observer by a layer of hot air" (option a).
The water-pool mirage, also known as the highway mirage, is a visual phenomenon that occurs on hot days when there is a layer of hot air just above the surface of the road. This layer of hot air causes the light from the sky to bend or refract upward, creating the illusion of a shiny surface on the road.
This illusion can be so convincing that it appears as if there is a pool of water on the road, leading some drivers to take evasive action to avoid it. In reality, there is no actual water on the road, but rather an optical illusion caused by the bending of light.
Option a is answer.
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If the force exerted by the intern is doubled and the distance is haived, does the work done by the intern increase, decrease, or remain the same.I want the answer asap
Answer:
The work remains the same
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Weathered rocks and soil are moved by _____?
A. Weathering
B. erosion
C. cycles
D. deposition
Answer:
The correct answer is B
water flows steadily along a uniform flow tube of cross section area 20cm². The total pressure is 3x104pa and static pressure is 2.5x104 pa. Calculate the velocity of the fluid.
please help me
steadily along a uniform flow tube of cross section area 20cm². The total pressure is 3x104pa and static pressure is 2.5x104 pa. Calculate the velocity of the fluid.
The stars rise about 4 minutes earlier each night. if the star betelgeuse, of the constellation orion, rises tonight at 1:12 am, you would expect it to rise 22 days from now at the time of?
22 days from now the star Betelgeuse, of the constellation Orion will rise at 11:40 pm
Given that,
Time at which the star rises today = 1:12 am
The stars rise about 4 minutes earlier each night
Minutes earlier it will rise 22 days from now = 4 * 22 = 88 minutes
= 1 Hr 28 Min
The star should rise 1 Hr 28 Min earlier from 1:12 am which is 11:44 pm
But since the time from today to 22 days from now crosses the 12 am mark, the star will be seen twice on the same day. This means that the star seen on 11:44 pm is actually on the 21st day. On 22nd day the star is seen 4 minutes earlier than 11 pm which is 11:40 pm.
We rotate one degree every 4 minutes. We revolve a little more than 1 degree every day around the sun (365 days divided by 360 degrees is 1.014 degrees). So everyday we get to see the star 4 minutes early which is 1 degree.
Therefore, 22 days from now the star Betelgeuse, of the constellation Orion will rise at 11:40 pm
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Which is unnecessary to include when accurately drawing ray diagrams?
focal point
lens
focal length
three easy rays
Answer:
Focal length
Explanation: No need for one...
Focal length is unnecessary to include when accurately drawing ray diagrams.
What is Focal length?The focal length is the distance, in millimeters, between the lens' optical center and the camera sensor, which records light data.
The elements inside the housing of a lens bend and shape light as it enters the front so that it converges into a single point of focus known as the "optical center."
It is crucial to remember that this measurement is made with the camera set to infinity and that lenses are named according to their focal length, which is indicated on the lens' barrel.
Therefore, Focal length is unnecessary to include when accurately drawing ray diagrams.
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If this woman pushes down on her lever with a force of 25N and the rock moves with a
force of 100N, what was the mechanical advantage?
Answer:
0.25
Explanation:
Due to the spin of an electron S, orbital angular momemtum I is not sufficient to explain the behavior of an atom. A better quantum number is the total angular momentum. The total angular momentum J of an atom is given by J = L + S. Just as I has an associated quantum number (the orbital quantum number 1). J has the associated total angular quantum number j. If the orbital quantum number is 1 = 1, what are the possible value(s) of the total angular quantum number j?
Due to the spin of an electron S, orbital angular momemtum I is not sufficient to explain the behavior of an atom, for the given orbital quantum number l = 1, the possible values of the total angular quantum number j are 3/2 and 1/2.
The allowable combinations of the orbital quantum number l and the spin quantum number s may be used to calculate the possible values of the total angular quantum number j.
Here,
Orbital quantum number l = 1
The total angular momentum quantum number:
j = |l + s| - 1
j = |1 + s| - 1
j = |1 + 1/2| - 1 = 3/2
For,
s = -1/2:
j = |1 - 1/2| - 1 = 1/2
Thus, for the given orbital quantum number l = 1, the possible values of the total angular quantum number j are 3/2 and 1/2.
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find the equation for the plane through the point p0=(6,4,5) and normal to the vector b=3i 5j 9k.
The equation for the plane through the point p0=(6,4,5) and normal to the vector b=3i 5j 9k is 3x + 5y + 9z = 83.
To find the equation of the plane through point p0(6, 4, 5) and normal to the vector B = 3i + 5j + 9k, follow these steps:
1: Write the general equation for a plane.
The general equation for a plane is Ax + By + Cz = D, where A, B, and C are the coefficients of the normal vector and D is a constant.
2: Identify the coefficients from the normal vector.
The normal vector B is given by 3i + 5j + 9k, so A = 3, B = 5, and C = 9.
3: Substitute the point p0 into the general equation of the plane.
3(6) + 5(4) + 9(5) = D
18 + 20 + 45 = D
83 = D
4: Write the equation of the plane.
The equation of the plane is 3x + 5y + 9z = 83.
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Okay I help some of you guys so can help me please
An eastbound car travels a displacement of 80.0 Km in 45 minutes. What is the velocity
of this car in both Km/h and m/s?
Explanation:
d= 80km = 8000m
t = 45 min = 45/60 h
= 0.75 h
V= ?
we know that,
V = d /t
or,V= 80 km / 0.75 h
or, V= 106.67 km/hror,V= 106.67×1000m / 3600 s
2. or, V= 29.63 m/s
Un globo es inflado hasta obtener 1.5 atm, con un volumen de 500 cm³ a 273 K. Luego, es colocado en el frezzer ¿Cuál será su temperatura, con 1.2 atm y 300 cm³?
Respuesta: T2 = 131.04K
Explicación: Dado lo siguiente:
Presión, P1 = 1.5 atm = 1.5 × 760 = 1140 mmHg
Presión, P2 = 1.2 atm = 1.2 × 760 = 912 mmHg
Volumen, V1 = 500cm3 Volumen, V2 = 300cm3
Temperatura, T1 = 273K Temperatura, T2 =?
Usando la fórmula de gas combinada:
P1V1 / T1 = P2V2 / T2
Ingresando nuestros valores:
(1140 × 500) / 273 = (912 × 300) / T2
T2 × (1140 × 500) = 912 × 300 × 273
T2 = 74692800/570000 T2 = 131.04K
Explain the image below in terms of Newton’s Laws.
The image given, is explained in terms of Newton's 1st law of motion.
What is Newton's 1st law of motion?Based on Newton's First Law of Motion (Inertia). An object at rest remains at rest, and an object in motion continues in motion at a steady speed and in a straight path until operated on by an unbalanced force.
Newton's first rule of motion states that if a pan of water were being moved along a track, the water would tend to keep moving ahead. However, the water will appear to splash to the right while it goes to the left. Space is nearly a perfect vacuum, devoid of both gravity and matter. Think about a satellite travelling 17,500 mph around the Earth. If a rock were to be launched from the satellite, it would orbit the earth adjacent to the satellite at a speed of 17,500 mph.
Here, in the given image, it is shown that the sofa is remain in the place unless a person forcefully move it from one place to another.
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how do you use atomic models
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A woman of mass 49 kg jumps off the bow of
a 46 kg canoe that is intially at rest.
If her velocity is 1.5 m/s to the right, what
is the velocity of the canoe after she jumps?
Answer in units of m/sˆı.
Answer:
\(v_c_a_n_o_e=-1.6m/s^{2}\)
Explanation:
You can use the equation of the conservation of momentum. We find that the velocity of the canoe is -1.6m/s².
\(m_1v_1+m_2v_2=0\\(49)(1.5)+(46)(v_c_a_n_o_e)=0\\73.5 + 46v_c_a_n_o_e=0\\46v_c_a_n_o_e = -73.5\\v_c_a_n_o_e = -73.5/46 = -1.6m/s^{2} \\\)
A bullet of mass 50 g is fired from below into a suspended object of mass 450 g. The object rises through a height of 1.8 m with bullet remaining inside the object. Find the speed of the bullet. Take g = 10 ms².
Hello!
We can begin by using the Work-Energy theorem. The initial energy is the kinetic energy of the combined mass of the bullet and suspended object, while the final energy is the GPE of the combined objects.
In equations:
\(E_i = \frac{1}{2}mv^2\\\\E_f = mgh\)
m = combined mass of the bullet and suspended object (0.5 kg)
v = velocity of block system after struck (? m/s)
g = acceleration due to gravity (10 m/s²)
h = final height of combined objects (1.8 m)
Set the two equal (Conservation of Energy) and solve for velocity.\(\frac{1}{2}mv^2 = mgh \\\\\frac{1}{2}v^2 = gh \\\\v^2 = 2gh \\\\v = \sqrt{2gh}\\\\v = \sqrt{2(10)(1.8)} = 6 \frac{m}{s}\)
Now, we can use the conservation of linear momentum to solve.
Recall that:
\(p_i = p_f\)
For an inelastic collision (objects stick together):
\(m_1v_1 + m_2v_2 = (m_1 + m_2) v_f\)
Let m1 represent the bullet and m2 represent the suspended object.
Initially, the suspended object has no velocity, so v2 = 0. Therefore:
\(m_1v_1 = (m_1 + m_2)v_f\\\\v_1 = \frac{(m_1 +m_2)v_f}{m_1}\\\\v_1 = \frac{(0.5)(6)}{0.05} = \boxed{60 \frac{m}{s}}\)
What do wind energy, hydro-energy, and fossil fuel energy have in common?
Answer:
Fossil fuels store energy from the sun as
Explanation:
A student measures the time it takes for two reactions to be completed. Reaction A is completed in 57 seconds, and reaction B is completed in 48 seconds.What can the student conclude about the rates of these reactions
Answer:
Rate of Reaction of B is more.
Explanation:
Rate of reaction refer to the speed at which product are formed.
A is completed in 57 seconds and reaction B is completed in 48 seconds
therefore reaction b speed is more. Therefore rate of Reaction of B is more.
when a muscle is stretched by a contraction of the opposing muscles what is is called?
Answer:
Active stretching.
Explanation:
Think about it.
What is an experiment the variable that changes because of the experiment is called
a 1200-kg car moving on a horizontal surface has speed when it strikes a horizontal coiled spring and is brought to rest in a distance of 2.2 m. what is the spring stiffness constant of the spring?
A 1200-kg car moving on a horizontal surface has speed when it strikes a horizontal coiled spring and is brought to rest in a distance of 2.2 m. Spring stiffness constant of the spring k = 138440 N/m .
Given mass of car =1200
speed of the car is 85 km/h = 23.63 m/s
K.E = 1/2 mv²
using spring energy formula
KE spring = 1/2kx²
using conservation of energy
1/2 mv² = 1/2kx²
k= mv²/x²
k= 1200×23.63²/2.2²
therefore k = 138440 newtons/meter
In contrast to velocity, which describes the speed and direction of an object's movement, speed is the rate of movement along a path. Alternatively, velocity is a vector while speed is a scalar quantity. It takes both magnitude and direction to define velocity, a physical vector quantity. The rate of movement in a specific direction is known as velocity. An object's velocity encompasses both its speed and its direction of motion. An object's speed is defined as the rate at which its location changes. The acceleration is determined by the velocity change rate of the object.
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Part A
As an object moves around, on which quantities does the change in its gravitational potential energy depend? Choose all that
apply.
produces electricity from a chemical reaction and cannot be run in reverse
A battery is an electrochemical device that generates electricity from a chemical reaction. It typically consists of two electrodes, an anode and a cathode, separated by an electrolyte, which is a solution or medium that conducts ions.
The chemical reaction between the electrodes and the electrolyte generates a flow of electrons, which can be harnessed to power electrical devices.The flow of electrons generated by the chemical reaction in a battery is a one-way process and cannot be reversed. When the battery is connected to a circuit, the electrons flow from the anode to the cathode, producing an electrical current.
However, the reverse flow of electrons, from the cathode to the anode, cannot be achieved by simply reversing the direction of the current. This is because the chemical reaction that generates the flow of electrons is not reversible.Different types of batteries use different chemical reactions to generate electricity. For example, alkaline batteries use zinc as the anode and manganese dioxide as the cathode, while lead-acid batteries use lead as the anode and cathode and sulfuric acid as the electrolyte.
Lithium-ion batteries, which are commonly used in portable electronic devices, use lithium ions as the charge carriers and graphite as the anode.In conclusion, a battery is an electrochemical device that generates electricity from a chemical reaction and cannot be run in reverse. The chemical reaction is a one-way process that generates a flow of electrons from the anode to the cathode, producing an electrical current that can be used to power electrical devices.
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this is a 3 part question6) (a) Your heart beats with a frequency of 1.45 Hz. How many beats occur in a minute? (b) If the frequency of your heartbeat increases, will the number of beats in a minute increase, decrease, or stay the same? (c) How many beats occur in a minute if the frequency increases to 1.55 Hz?
Given,
The initial frequency of the heartbeat, f₁=1.45 Hz
The increased heartbeat, f₂=1.55 Hz
The frequency of the heartbeat can be described as the number of occurence of the heartbeat per second. That is every second, the heart beats 1.45 times.
(a)
Thus for a minute, the number of the heartbeats is,
\(\begin{gathered} N_1=f_1\times60 \\ =1.45\times60=87 \end{gathered}\)Thus 87 beats occur for a minute.
(b)The increase in the frequency of the heartbeat implies the increase in the number of the heartbeat for every second. And hence the beats in a minute increase when the frequency of the heartbeat increases.
(c)
The number of the beats per minute after the increase of the frequency is,
\(\begin{gathered} N_2=f_2\times60 \\ =1.55\times60 \\ =93 \end{gathered}\)Thus after the increase in the frequency, 93 beats occur in a minute.
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