Answers
Answer:
t= 16.75 s
Explanation:
We will solve this exercise using the kinematic expressions
corridor that goes at constant speed, suppose that its speed is v₁ = 20 m/s, it does not appear in the statement, we start counting the time when it passes the policeman.
x₁ = v₁ t
The policeman starts from rest, so his initial velocity is zero and he has an acceleration a = 2.70 m /s², to use the same time counter we take into account that the policeman left at = 1.00 s after passing the corridor
x₂ = v₀ (t-t₀) + ½ a (t-t₀)²
x₂ = ½ a (t-1)²
at the point where the two meet, the position must be the same
x₁ = x₂
v₁ t = ½ a (t-1)²
(t-1)² = \(\frac{2 v_1 t}{a}\)
t² - 2t + 1 - \frac{2 v_1 t}{a} +1 = 0
t² - 2(1 + \(\frac{v_1}{a}\)) t +1
let's we solve the second degree equation
t² - 2 ( 1 + \(\frac{20}{2.7}\)) t + 1=0
t² - 16.81 t +1=0
t = [ 16.81 ± \(\sqrt{ 16.81^2 - 4 )}\) ] /2
t = [16.81 ± 16.695]/2
t₁= 16.75 s
t2= 0.06 s
Time t₂ is less than the reaction time of humans, so the correct answer is the first time
t= 16.75 s
Related Questions
Hi can anyone please help me with this question? i just cant seem to do it.. Thanksss
Newtons Universal Gravitational Law.
Bill gates a billionaire and space-X CEO, send Robin, 65kg, to planet Gidz. Gidz has a very weak gravitational attraction, of 1.56 N/Kg. Planet GIdz has a radius of 6.35 x 10^11 m.
i. determine the mass of planet Gidz.
Answers
Answer:
F = G M m / R^2 = m a
G M / R^2 = a
M = a R^2 / G
M = 1.56 N/kg * 6.35 m^2 / 6.67E10-11 N-m^2 / kg^2
M = 1.56 * 6.35 / 6.67E-11 kg
M = 1.49 * 10^11 kg
Name:
For the following problems see the appendices for the relevant data.
1. Use the equation of Hydrostatic Equilibrium
dP(r)
dr = −
GM(r)
r
2
ρ(r)
to estimate the central pressure of the Sun by considering the whole
Sun as one shell.
2. Now use the prior example and the equation of state for an ideal gas
to estimate the central temperature of the Sun.
3. If the gas found within the darker region of a Sunspot has a Teff = 3800
K, then calculate the ratio of the total intensities of the Sunspot to the
surface of the Sun. What is the ratio of intensities at λ = 550 nm?
4. Calculate the energy released at both every stage and total stage of the
triple alpha process. How does this compare to both the CNO cycle
and the PP chain?
Answers
Therefore, T_c~1.2×〖10〗^7 K is the equation for hydrostatic equilibrium.
What is meant by hydrostatic equilibrium?A fluid's state where all of its surfaces are horizontal, coinciding, and have constant mass (or density). The opposing forces of gravity and pressure are perfectly balanced. The criterion of hydrostatic equilibrium, which is present in both planetary geology and astrophysics, is used to differentiate between dwarf planets and small solar system entities. The term "hydrostatic" is used to indicate a constant balance between pressure pushing up & gravity pulling down in a fluid.
Where is hydrostatic equilibrium found?A star is said to be in "hydrostatic equilibrium" when the gravitational force, caused by the mass of the star, and the gas pressure, caused by energy production in the star's core, balance each other out during the bulk of the star's existence.
A star must constantly fight against gravity in order to exist. Gravity is constantly pushing the star in the direction of collapse. But because the star's core is so hot, pressure is put on the gas. When the gravitational pull is equalized by this pressure, the star enters a condition of equilibrium known as hydrostatic pressure.
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For a class project, Jerome builds a simple circuit with a battery and three light bulbs. On his way to school, Jerome drops his project and breaks one of the light bulbs. He has no time to fix or replace the bulb, so he removes the broken bulb and turns in his project. What will happen when Jerome runs current through his circuit?
Answers
When Jerome runs current through his circuit after removing the broken light bulb, the other two light bulbs will light up while the broken bulb socket will not emit any light.
When Jerome runs current through his circuit after removing the broken light bulb, the other two light bulbs will light up while the broken bulb socket will not emit any light. The circuit will still function, and the two remaining bulbs will receive the current and illuminate.
In a series circuit, like the one Jerome has built, the current follows a single pathway through all the components. Removing one bulb breaks the circuit in that specific location, preventing current flow through the broken bulb. However, the current will still flow through the rest of the circuit, reaching the intact bulbs.
It's important to note that removing a bulb increases the overall resistance in the circuit since there is one less path for current to flow through. As a result, the remaining bulbs may appear slightly dimmer than when all three bulbs were connected, but they will still light up.
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a frog jumps as is moves. what is the relationship between maximum height & maximum range.
Answers
Explanation: A projectile motion is characterized by a motion whose path is alike to that of an arc. It already has its derived equations. For the maximum height H and the maximum range R, the equations are:
H = v₀²sin²θ/2g ; R = v₀²sin(2θ)/g
As you can observe, they are almost alike. Since they both contain v₀²/g, let's isolate this term for both equations:
v₀²/g = 2H/sin²θ
v₀²/g = R/sin (2θ)
Equating both equations:
2H/sin²θ = R/sin (2θ)
H = Rsin²θ/2sin(2θ)
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F x T = m (Vf - Vi)
in this equation what does the M stand for
Answers
Answer:
m = mass [kg]
Explanation:
This equation is characteristic of the amount of motion and momentum.
\(F*t = m*(v_{f}-v_{i})\)
where:
F = force [N] (units of Newtons)
t = time = [s]
m = mass [kg]
Vf = final velocity [m/s]
Vi = initial velocity [m/s]
Now using the units and placing them in the equation above.
\([N]*[s] = [kg]*(m/s-m/s)\\\)
\([N]=[kg*m/s^{2} ]\)
Now replacing:
\([kg*m/s^{2}]*[s]=[kg*m/s]\)
The s² is cancelled with the s, therefore.
\([kg*m/s]=[kg*m/s]\)
Two point charges have a total electric potential energy of -24 J, and are separated by 29 cm.
If the total charge of the two charges is 45 μC, what is the charge, in μC, on the positive one?
What is the charge, in μC, on the negative one?
Answers
Answer:
The charge of the negative one is 13.27 microcoulombs and the positive one has a charge of 58.27 microcoulombs.
Explanation:
Electric potential energy between two point charges is derived from concept of Work, Work-Energy Theorem and Coulomb's Law and described by the following formula:
\(U_{e} = \frac{k\cdot q_{A}\cdot q_{B}}{r}\) (1)
Where:
\(U_{e}\) - Electric potential energy, measured in joules.
\(q_{A}\), \(q_{B}\) - Electric charges, measured in coulombs.
\(r\) - Distance between charges, measured in meters.
\(k\) - Coulomb's constant, measured in kilogram-cubic meters per square second-square coulomb.
If we know that \(U_{e} = -24\,J\), \(q_{A} = 45\times 10^{-6}\,C+ q_{B}\), \(k = 9\times 10^{9}\,\frac{kg\cdot m^{3}}{s^{2}\cdot C^{2}}\) and \(r = 0.29\,m\), then the electric charge is:
\(-24\,J = -\frac{\left(9\times 10^{9}\,\frac{kg\cdot m^{3}}{s^{2}\cdot C^{2}} \right)\cdot (45\times 10^{-6}\,C+q_{B})\cdot q_{B}}{0.29\,m}\)
\(-6.96 = -405000\cdot q_{B}-9\times 10^{9}\cdot q_{B}^{2}\)
\(9\times 10^{9}\cdot q_{B}^{2}+405000\cdot q_{B} -6.96 = 0\) (2)
Roots of the polynomial are found by Quadratic Formula:
\(q_{B,1} = 1.327\times 10^{-5}\,C\), \(q_{B,2} \approx -5.827\times 10^{-5}\,C\)
Only the first roots offer a solution that is physically reasonable. The charge of the negative one is 13.27 microcoulombs and the positive one has a charge of 58.27 microcoulombs.
1. What is the function of a lightning rod?
2. How is charge build-up reduced on airplanes?
3. Why is a ground strap a necessary safety feature when transferring fuel?
4. What are three different methods for reducing charge build-up in clothes dryers?
5. What are four different methods for reducing charge build-up in a computer room with a carpet?
Answers
Answer: 1. The function of a lightning rod is to protect buildings, structures, and people from lightning strikes by providing a path of least resistance for the electrical current to follow, directing it safely into the ground instead of through the structure or people.
2. Charge build-up is reduced on airplanes through various methods, such as using conductive materials in the airplane's structure, applying anti-static coatings on the airplane's surface, and installing static discharge wicks or similar devices on the airplane's trailing edges, which provide a way for any accumulated charge to safely dissipate into the air.
3. A ground strap is a necessary safety feature when transferring fuel because it provides an electrical connection between the fuel container and the receiving container, allowing any static charge to safely dissipate into the ground. Without a ground strap, the static charge could build up and potentially ignite the fuel.
4. Three different methods for reducing charge build-up in clothes dryers are: (1) using dryer sheets or fabric softeners, which can help neutralize static charges on the clothes, (2) adding a damp cloth to the dryer, which can help dissipate static charges, and (3) using metal dryer balls, which can physically separate clothes and prevent them from rubbing against each other and creating static charges.
5. Four different methods for reducing charge build-up in a computer room with a carpet are: (1) using conductive flooring or carpet tiles that can help dissipate static charges, (2) using anti-static mats or wrist straps for personnel who work in the room, (3) using air ionizers or humidifiers, which can help neutralize static charges in the air, and (4) grounding all equipment and devices in the room to prevent the buildup of static charges.
Explanation:
I hope this helps!
The blending of the fundamental tone with overtones produces the __?__of an instrument.
Answers
Answer:
The blending of the fundamental tone with overtones produces the Sound Quality of Musical Instruments of an instrument.
The blending of the fundamental tone with overtones produces the sound quality of Musical Instruments of an instrument.
The tone of a sound wave determines the timbre, also known as timber, of the auditory impressions it creates. The wave structure of a sound, which varies with the amount of overtones, or harmonics, present, their frequencies, and their relative intensities, determines the timbre of the sound.Resonance is a common technique used by musical instruments to enhance sound waves and increase volume. When an object vibrates in response to sound waves of a particular frequency, this is known as resonance.What are tones and overtones?Aside from a simple sine wave, the fundamental tone and numerous additional tones of various frequencies make up the waveforms of all sounds. Overtones or harmonics are non-fundamental tones that are whole-number multiples of the fundamental tone.Learn more about sound quality of Musical Instruments brainly.com/question/9571788
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The weight of a person is 40o N. He
exerts 400 N/m² if he stand with both
feet find its area
Answers
Answer:
1 m²
Explanation:
Applying,
P = F/A.................. Equation 1
Where P = Pressure, F = Force, A = Area
Make A the subject of the equation
A = F/P............... Equation 2
From the question,
Given: F = 400 N, P = 400 N/m²
Substitute these values into equation 2
A = 400/400
A = 1 m²
Hence the area of the person is 1 m²
Two vectors have magnitudes 20 m and 44 m. Which of the following cannot possibly be the magnitude of the resultant of the two vectors ?
Answers
Answer:
44M 64M
Explanation:
A helicopter (mass = 5000 kg) lifts 1475 kg of stuff (two people and packages). Let’s say initially the helicopter is hovering (v = 0 m/s). What thrust (force) is necessary for the helicopter to hover?
Answers
While it's carrying the passengers and packages, its total mass is 5000 kg + 1475 kg = 6475 kg, so that its weight is
(6475 kg) g = 63,455 N
In order to hover, the helicopter's thrust should match this weight.
when [s] = 5 km, what percentage (%) of vmax has been reached?
Answers
The percentage of the ratio of Vo/ Vmax is 83%
The [s] given has 5 km
The Vmax can be found using the Michaelis-Menten equation,
Vo / Vmax = [s] / km + [s]
where Vo is the initial velocity
Vmax is the maximum velocity
The Michaelis-Menten equation can be rewritten as V = Kcat [enzyme] [S] / (Km + [S]). Kcat is equal to K2 and measures the number of substrate molecules that the enzyme "turns over" per second. The unit of Kcat is 1/sec.
Let us substitute the known values in the above equation, we get
Vo / Vmax = 5 km / km + 5km
= 5 km / 6 km
= 0.833 x 100
= 83.3 %
Therefore, the percentage of Vo/Vmax is 83.3 %
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The full question is
when [s] = 5 km, what percentage (%) of Vo/Vmax has been reached?
How long will it take an object that falls from rest to attain a velocity of 147 m/s?
Answers
Answer:
15 seconds
Explanation:
We can use this formula to solve this problem:
Velocity = Initial Velocity + Acceleration * Time
We know that initial velocity is 0, the velocity is 147, and acceleration is 9.8(because of earth's gravitational pull), so we can plug those numbers in and solve for time:
147 = 0 + 9.8*t
t = 15
Therefore, it will take 15 seconds for an object that falls from rest to reach 147 m/s.
An L-C circuit containing an 90.0 mH inductor and a 1.25 nF capacitor oscillates with a maximum current of 0.730 A. Assuming the capacitor had its maximum charge at time t = 0, calculate the energy stored in the inductor after 2.40 ms of oscillation.This is a 3 part question. I managed to figure out Part A and Part B.Part A: Calculate the maximum charge on the capacitor. Part B: Calculate the oscillation frequency of the circuit.
Answers
The maximum charge on the capacitor is equal to the product of the maximum current and the capacitance, so Q = 0.730 A x 1.25 nF = 0.913 nC.
What is oscillation?Oscillation is a repetitive variation in the magnitude of a physical quantity over time. It is a common phenomenon that is observed in many physical, biological and chemical systems. Examples of oscillation include the swinging of a pendulum, the fluctuation of a spring, the regular beat of a heart, the alternating current of electricity, and the fluctuations of stock prices on the stock market. Oscillation can be either regular or irregular, and can be caused by a variety of factors, including the properties of the system, external forces or noise.
The oscillation frequency of the circuit can be calculated by f = 1/(2π√LC), so f = 1/(2π√(90.0 mH x 1.25 nF)) = 1.899 kHz. The energy stored in the inductor after 2.40 ms of oscillation can be calculated using the formula W = ½ LI², where L is the inductance, I is the current, and t is the time. Therefore, W = ½ x 90.0 mH x (0.730 A)² x 2.40 ms = 0.811 mJ.
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Using the work energy theorem, what is the final velocity of a roller coaster at the bottom of the hill. The coaster has a mass of 839 kg and starts at rest from the top of a hill that is 75 meters tall.
Answers
ANSWER
38.34 m/s
EXPLANATION
Given:
• The mass of the coaster, m = 839 kg
,• The initial height of the coaster, h = 75 m
,• The acceleration due to gravity, g = 9.8 m/s²
Find:
• The final velocity of the roller coaster at the bottom of the hill, v.
The roller coaster starts from rest, so at the top of the hill, it only has gravitational potential energy and no kinetic energy. Then, at the bottom of the hill, the roller coaster is in motion, to it has kinetic energy, and, because the difference of height with the reference - which is the bottom of the hill, is zero, it has no potential energy,
By the work-energy theorem, we have the equation,
\(KE_i+PE_i+W_{nc}=KE_f+PE_f_{}\)As explained above, the initial kinetic energy is 0 and the final potential energy is also 0. If we assume that there is no friction, air resistance, or other external forces, then the work done by non-conservative forces is also 0,
\(PE_i=KE_f\)Replace each kind of energy with the expression to obtain them,
\(m\cdot g\cdot h=\frac{1}{2}\cdot m\cdot v^2\)The mass cancels out,
\(g\cdot h=\frac{1}{2}\cdot v^2\)Solving for v,
\(v=\sqrt[]{2\cdot g\cdot h}\)Replace with the known values and solve,
\(v=\sqrt[]{2\cdot9.8m/s^2\cdot75m}=\sqrt[]{1470m^2/s^2}\approx38.34m/s\)Hence, the velocity of the roller coaster at the bottom of the hill is 38.34 m/s, rounded to the nearest hundredth.
The hockey stick hits the puck forward. Give the reaction force
Answers
I think the puck pushes the stick backwards
Something that has many particles in a small space would have a ————- density
Fill in blank
Answers
Answer:
a high density i believe
Explanation:
Answer:
it may have a higher density
Can hurricanes produce tornadoes
Answers
Answer:
No
Explanation:
Answer:
No
Explanation:
Tornadoes are usally produced in the Midwest regions. Hurricanes are made with water, not clouds. So, no, hurricanes cannot produce tornadoes.
How many significant digits are in 0.0180
Answers
Answer:
3
Explanation:
the zero to the right of 8 is also signifcant.
The efficiency of a machine can be increased by
Answers
Explanation:
the efficiency of a machine can be increased by reducing the friction
please mark the brainliest
All the questions are in the photos above. Thanks guys!
Answers
Answer:
right
Explanation:
A coil has resistance of 20 W and inductance of 0.35 H. Compute its reactance and its impedance to an alternating current of 25 cycles/s.
Answers
Answer:
Reactance of the coil is 55 WImpedance of the coil is 59 WExplanation:
Given;
Resistance of the coil, R = 20 W
Inductance of the coil, L = 0.35 H
Frequency of the alternating current, F = 25 cycle/s
Reactance of the coil is calculated as;
\(X_L=\) 2πFL
Substitute in the given values and calculate the reactance \((X_L)\)
\(X_L =\) 2π(25)(0.35)
\(X_L\) = 55 W
Impedance of the coil is calculated as;
\(Z = \sqrt{R^2 + X_L^2} \\\\Z = \sqrt{20^2 + 55^2} \\\\Z = 59 \ W\)
Therefore, the reactance of the coil is 55 W and Impedance of the coil is 59 W
Organ pipes, open at one end, resonate best when their length is ¼ λ. Three pipes have lengths 23.0 cm, 30.0 cm and 38.0 cm.A. Find the wavelength of the sound emitted by each pipe.B. Find the frequency of each pipe if the speed of sound is 341 m/s.
Answers
a.
L = 1/4 λ
23 x 4 = 92 cm = 0.92m
30 x 4= 120 cm = 1.2 m
38 x 4= 152 cm = 1.52 m
b.
v= 341 m/s
v = f x λ
F = v / λ = 341 /0.92= 370.6 = HZ
341/1.2 = 284.16 HZ
341/1.52= 224.3 HZ
Which car is faster A or B
Answers
Answer:
A
Explanation: Car A is the fastest
What is the area around an object that can attract or repel other objects in that area?
A - field
B - force
C - fission
D - friction
Answers
Answer:
A
Explanation:
I got it right with that :>
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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A bar has a 20 N weight at one end, as shown in Figure 7.22. You have a weight of 15 N to hang somewhere on the bar so that the bar is in equilibrium. Where would you hang the 15 N weight on each of these bars? Consider the bar to have no mass.
Answers
The weight of 15N should be hung at a distance of 4/3 units from the fulcrum, on the opposite side of the bar to a weight of 20N.
The fulcrum is attained equilibrium when the principle of moments is equal to zero. The principle of momentum is defined as the body is said to be balanced when the clockwise movement about the point is equal to the anticlockwise movement about the same point.
When a weight of 15N is hung on the bar, it produces an anticlockwise movement with the same magnitude, opposes the clockwise moment produced by the weight of 20N on the fulcrum.
To find the distance (d) at which the 15N weight should be hung, the distance from the 20N weight to the fulcrum is 1 unit.
20×1 = 15×d
d = 20/15
=4/3 m
Thus, the weight of 15N should be hung by the distance of 4/3 units from the fulcrum, on the opposite side of the bar having the weight of 20N, to make the fulcrum to be at equilibrium.
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In your business plan, the target market section should clearly identify_____market(s).
A. Both your primary and secondary
B. primary
C. demographic
D. secondary
Answers
In your business plan, the target market section should clearly identify both your primary and secondary market(s). The market analysis is basically the target market section of your business plan. It is a thorough examination of the ideal people to whom you intend to sell your products or services.
find the power of a lift that transfers 450 J of energy in 15 seconds.
Answers
Answer: P=30W
Explanation:
formula is p=w/t
p = power
w = work
t = elapsed time
input variables, solve then simplify.
The power of a lift that transfers 450 J of energy in 15 seconds is 30 watts.
Power is defined as the rate of doing work, i.e. the amount of work done per unit time.
Mathematically, it can be represented as follows:
Power = Work done / time taken
Therefore, the power of a lift that transfers 450 J of energy in 15 seconds can be calculated as follows:
Power = Work done / time taken= 450 J / 15 s= 30 W
Therefore, the power of the lift is 30 watts.
To explain further, we know that power is measured in watts (W), and it is the rate at which work is done or energy is transferred.
Here, we are given that the lift transfers 450 J of energy in 15 seconds.
We can find the power of the lift by dividing the amount of work done by the time taken to do it. By substituting the given values, we get the power of the lift as 30 W.
In simple terms, this means that the lift can transfer energy at a rate of 30 joules per second. This can also be interpreted as the lift can do 30 joules of work in one second.
Hence, we can conclude that the power of the lift is 30 watts.
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The graph below shows the motion of a person leaving a theater. Three segments of their journey have been identified as A, B, and C.
What does line segment C represent?
The person is moving away from the theater.
The person is standing still.
The person is moving closer to the theater.
The person is slowing down.
Answers
The graph below shows the motion of a person leaving theater, line segment C represent : The person is moving away from the theater.
What is meant by motion?In physics, motion is a change with time of the position or orientation of a body. Motion along a line or a curve is called as translation whereas motion that changes orientation of a body is called rotation.
Motion is a change in position of an object over the time and is described in terms of displacement, distance, velocity, acceleration, time and speed.
Change in position of a body with time when compared with another body is known as motion.
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