The wavelength of a standing wave is equivalent to:
wavelength = 2 l / n
Where l is the length of
the string and n is the number of segments.
so, wavelength = 2 (0.2 m) / 5
wavelength = 0.08m (ANSWER)
Answer:
[tex]\lambda=80\ cm[/tex]
Explanation:
It is given that,
Length of the string, L = 200 cm = 2 m
Frequency, f = 120 Hz
It vibrates in 5 distinct segments such that there is fifth harmonics. For a string fixed at both ends, the wavelength is given by :
[tex]\lambda=\dfrac{2}{5}L[/tex]
[tex]\lambda=\dfrac{2}{5}\times 2[/tex]
[tex]\lambda=0.8\ m[/tex]
[tex]\lambda=80\ cm[/tex]
So, the wavelength of the string fixed at both ends is 80 cm. Hence, this is the required solution.
Jumping up before the elevator hits. after the cable snaps and the safety system fails, an elevator cab free-falls from a height of 36 m. during the collision at the bottom of the elevator shaft, a 90 kg passenger is stopped in 5.0 ms. (assume that neither the passenger nor the cab rebounds.) what are the magnitudes of the (a) impulse and (b) average force on the passenger during the collision
In order to distinguish between wavelengths independent of light intensity, one must have at least _____visual pigment(s).?
a. ?three
b. ?two
c. ?four
d. one?
The roller-coaster car shown in fig. 6-41 (h1 = 45 m, h2 = 16 m, h3 = 26 m), is dragged up to point 1 where it is released from rest. assuming no friction, calculate the speed at points 2, 3, and 4.
There are many ways to solve this but I prefer to use the energy method. Calculate the potential energy using the point then from Potential Energy convert to Kinetic Energy at each points.
PE = KE
From the given points (h1 = 45, h2 = 16, h3 = 26)
Let’s use the formula:
v2= sqrt[2*Gravity*h1] where the gravity is equal to 9.81m/s2
v3= sqrt[2*Gravity*(h1 - h3 )] where the gravity is equal to 9.81m/s2
v4= sqrt[2*Gravity*(h1 – h2)] where the gravity is equal to 9.81m/s2
Solve for v2
v2= sqrt[2*Gravity*h1]
= √2*9.81m/s2*45m
v2= 29.71m/s
v3= sqrt[2*Gravity*(h1 - h3 )
=√2*9.81m/s2*(45-26)
=√2*9.81m/s2*19
v3=19.31m/s
v4= sqrt[2*Gravity*(h1 – h2)]
=√2*9.81m/s2*(45-16)
=√2*9.81m/s2*(29)
v4=23.85m/s
To calculate the speed at points 2, 3, and 4 of the roller-coaster car, we can use the principle of conservation of mechanical energy. At point 1, the car is released from rest, so its initial velocity is 0 m/s. Therefore, its potential energy at point 1 is equal to its total mechanical energy at point 1. Using the principle of conservation of mechanical energy again, we can find the speed at points 2, 3, and 4.
Explanation:To calculate the speed at points 2, 3, and 4 of the roller-coaster car, we can use the principle of conservation of mechanical energy. At point 1, the car is released from rest, so its initial velocity is 0 m/s. Therefore, its potential energy at point 1 is equal to its total mechanical energy at point 1:
Using the principle of conservation of mechanical energy again, we can find the speed at point 2:
Similarly, we can find the speed at point 3 using the same principle:
Finally, the speed at point 4 can be found:
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A ball of mass 0.5 kg is released from rest at a height of 30 m. How fast is it going when it hits the ground? Acceleration due to gravity is g = 9.8 m/s²
At what speed do a bicycle and its rider, with a combined mass of 100 kg , have the same momentum as a 1600 kg car traveling at 5.2 m/s ?
A spring tide occurs ________. twice a year at the new or full moon closest to the vernal and autumnal equinox once a month, or 12 times a year about 26 times per year, at every full and new moon once a year at the first full moon after the vernal equinox
Answer: Option (1)
Explanation: A spring tide occurs when the sun, earth and the moon are collinear. It is the condition in which the gravitational pull is exerted on earth by both the sun as well as the moon, from opposite sides. Due to this, there occurs a high tide, in comparison to the regular tide, because of the combination of both the gravitational force. It occurs two time a year on each of the lunar month.
Thus, the correct answer is option (1).
A spring tide, characterized by higher tides due to the alignment of the Sun, Moon, and Earth, occurs about 26 times a year at every full and new moon. Neap tides occur when the Moon is at first or last quarter, resulting in lower than usual tides.
Explanation:A spring tide occurs about 26 times per year, at every full and new moon. The term 'spring tides' is connected not to the season but to the idea that higher tides 'spring up'. During a spring tide, the Sun, Moon, and Earth are aligned, causing the Sun's and Moon's gravitational pulls to reinforce each other. This creates higher than usual tides as tidal bulges occur on both sides of the Earth.
In contrast, when the Moon is at first or last quarter (at right angles to the Sun's direction), neap tides occur. At this time, the Sun's tides partially cancel out the Moon's tides, resulting in lower than usual tides. The actual magnitude of these tides can be affected by the distances from the Earth to the Moon and Sun.
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Albert uses as his unit of length (for walking to visit his neighbors or plowing his fields) the albert (a), the distance albert can throw a small rock. one albert is 88 meters. how many square alberts is equal to one acre? (1 acre = 43,560 ft2 = 4050 m2)
To solve this problem, we know that:
1 Albert = 88 meters
1 A = 88 m
The first thing we have to do is to square both sides of the equation:
(1 A)^2 = (88 m)^2
1 A^2 = 7,744 m^2
Since it is given that 1 acre = 4,050 m^2, so to reach that value, 1st let us divide both sides by 7,744:
1 A^2 / 7,744 = 7,744 m^2 / 7,744
(1 / 7,744) A^2 = 1 m^2
Then we multiply both sides by 4,050.
(4050 / 7744) A^2 = 4050 m^2
0.523 A^2 = 4050 m^2
Therefore 1 acre is equivalent to about 0.52 square alberts.
A luge and its rider, with a total mass of 85 kg, emerge from adownhill track onto a horizontal straight track with an initial speedof 37 m/s. if a force slows them to a stop at a constant rate of 2.0m/s2, (a) what magnitude f is required for the force, (b) what distanced do they travel while slowing, and (c) what work w is doneon them by the force? what are (d) f, (e) d, and (f) w if they, instead,slow at 4.0 m/s2?
(1) Through the Second Law of motion, the equation for Force is:
F = m x a
Where m is mass and a is acceleration (deceleration)
(2) Distance is calculated through the equation,
D = Vi^2 / 2a
Where Vi is initial velocity
(3) Work is calculated through the equation,
W = F x D
Substituting the known values,
Part A:
(1) F = (85 kg)(2 m/s^2) = 170 N
(2) D = (37 m/s)^2 / (2)(2 m/s^2) = 9.25 m
(3) W = (170 N)(9.25 m) = 1572.5 J
Part B:
(1) F = (85 kg)(4 m/s^2) = 340 N
(2) D = (37 m/s)^2 / (2)(4 m/s^2) = 4.625 m
(3) W = (340 N)(4.625 m) = 1572.5 J
What speed is the surface current near tokyo, japan?
Final answer:
The speed of the surface current near Tokyo, Japan can vary depending on various factors such as tides and weather conditions. However, a typical range for surface currents in the ocean is around 1-2 meters per second or 2-4 knots.
Explanation:
The speed of the surface current near Tokyo, Japan can vary depending on various factors such as tides and weather conditions. However, a typical range for surface currents in the ocean is around 1-2 meters per second or 2-4 knots.
It's important to note that the speed of surface currents can change and is not constant. Factors such as the Earth's rotation, wind patterns, and the shape of the coastline can influence the speed and direction of surface currents.
Ultimately, it is recommended to consult local oceanographic data or resources for more precise and up-to-date information on the speed of the surface current near Tokyo, Japan.
Many scientists do not believe in astrology because
Dielectric materials used in the manufacture of capacitors are characterized by conductivities that are small but not zero. therefore, a charged capacitor slowly loses its charge by "leaking" across the dielectric. if a certain capacitor leaks charge such that the potential difference decreases to one third its initial value in 5.60 s, what is the equivalent resistance of the dielectric? round your answer to three significant figures.
To find the equivalent resistance of the dielectric material in the capacitor, we can use the formula for the charging or discharging of a capacitor through a resistor.
V(t) = V_0 * e^(-t / RC) , where:
V(t) is the potential difference across the capacitor at time t,
V_0 is the initial potential difference across the capacitor,
e is the base of the natural logarithm (approximately 2.71828),
t is the time elapsed (in seconds),
R is the equivalent resistance of the dielectric (in ohms), and
C is the capacitance of the capacitor (in farads).
We are given that the potential difference decreases to one-third (1/3) of its initial value, which means V(t) = (1/3) * V_0 at time t = 5.60 s.
Now, we can rewrite the equation as:
(1/3) * V_0 = V_0 * e^(-5.60 / RC)
Next, we can cancel V_0 from both sides of the equation:
(1/3) = e^(-5.60 / RC)
To find the value of RC, we can take the natural logarithm of both sides:
ln(1/3) = ln(e^(-5.60 / RC))
ln(1/3) = -5.60 / RC
Now, we can solve for RC:
RC = -5.60 / ln(1/3)
RC ≈ 10.27
Finally, we can find the equivalent resistance by dividing RC by the capacitance (C) of the capacitor. Since we do not have the value of C, we cannot provide a specific value for Resistance. However, if you have the capacitance value (in farads), you can calculate the equivalent resistance using the equation R_eq = RC / C. Make sure to use the appropriate units for capacitance (farads) and time (seconds) to get the correct answer in ohms. Round your final answer to three significant figures as requested.
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A steam engine absorbs 4 x 105 J and expels 3.5 x 105 J in each cycle. What is its efficiency?
100%
12.5%
75%
33%
What is the maximum amount by which the wavelength of an incident photon could change when it undergoes compton scattering from an atom or molecule with a 36.0 u mass? (1 u = 1.66 × 10-27 kg)?
The maximum amount by which the wavelength of an incident photon could change in Compton scattering depends on the angle of scattering and can be calculated using the given formula.
Explanation:In Compton scattering, the wavelength of an incident photon can change. The maximum change in wavelength, or shift, can be determined by using the formula:
Change in wavelength (Δλ) = Compton wavelength (λc) * (1 - cosθ)
Where λc is the Compton wavelength, given by:
In this formula, h is Planck's constant, m is the mass of the scattering particle (in this case, the atom with a mass of 36.0 u), and c is the speed of light.
The maximum amount by which the wavelength of an incident photon could change depends on the angle of scattering (θ) and can be calculated using the formula mentioned above.
Block A, with a mass of 4.0 kg, is moving with a speed of 2.0 m/s while block B , with a mass of 8.0 kg, is moving in the opposite direction with a speed of 3.0 m/s. The center of mass of the two block system is moving with velocity of?
We have that the velocity two block system is mathematically given as
vcm= -16 m/s
Velocity two block system
Question Parameters:
With a mass of 4.0 kg, is moving with a speed of 2.0 m/s while block B , with a mass of 8.0 kg, is moving in the opposite direction with a speed of 3.0 m/s.
Generally the equation for the Velocity is mathematically given as
vcm = (m1*v1) + (m2*v2)
vcm = ((4*2)-(8*3))
vcm= -16 m/s
And the direction is
dcm = in the direction of block B
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Which energy conversion occurs in a battery-powered flashlight?
Answer: The correct answers are "chemical energy into electrical energy" and then "the electrical energy into light energy".
Explanation:
In the battery-powered flashlight, the battery supplies the chemical energy which makes the electrons to flow in the circuit and constitutes the current.
Then, the flashlight flashes the light in this way.
In the battery-powered flashlight, firstly, the chemical energy gets converted into electrical energy and then the electrical energy gets converted into light energy.
The ratio of the distance a bullet travels to the amount of time it takes to travel is known as the _____ of the bullet, depending on whether we need to know the direction or not.
Answer:
speed or velocity
Explanation:
The ratio of distance travels to the time taken is called speed.
Speed = distance traveled / time taken
Speed is a scalar quantity and its SI unit is m/s.
If the direction of distance given then it is velocity.
Velocity is defined as the ratio of displacement to the time taken.
Velocity is a vector quantity and its SI unit is m/s.
Two objects are placed in thermal contact and are allowed to come to equilibrium in isolation. the heat capacity of object a is three times the heat capacity of object b and the initial temperature of object a (ta) is twice the initial temperature of object b (tb). 1) what will the final temperature of the two-object system be?
At thermal equilibrium, when the colder object has a higher heat capacity than the hotter object, the final temperature of the system will be closer to the initial temperature of the colder object.
Thermal Equilibrium of Two Objects
When two objects with different initial temperatures are placed in thermal contact and isolated from their surroundings, they will exchange heat until reaching thermal equilibrium. Specifically, the zeroth law of thermodynamics states that if two systems are in thermal contact and no heat flows between them, they are at the same temperature, implying they have reached thermal equilibrium.
The object with the higher heat capacity can absorb more heat without a significant increase in temperature.
The concept of thermal equilibrium in thermodynamics states that objects in contact will approach the same temperature, following the zeroth law of thermodynamics.
In the scenario, where the heat capacity of the colder object B is much greater than that of the hotter object A, and both objects are allowed to reach thermal equilibrium, the final temperature of the system will be closer to the initial temperature of object B, the colder object. This is because the object with the greater heat capacity will undergo a smaller change in temperature for the same amount of heat exchange, compared to the object with the smaller heat capacity.
ben(55 kg) is standing on very slippery ice when junior(25kg) bumps into him. junior was moving at a speed of 8m/s before the collision and ben and junior embrace after the collision. find the speed of ben and junior as they move across the ice after the collision .
A 230.0 kg bear grasping a vertical tree slides down at constant velocity. What is the friction force between the tree and the bear?
What are some ways that scientists would collect data and make observations to help them learn more about the severity of the lion fish problem
Sort the following hypothetical discoveries into the appropriate bins as follows:consistent with theory: the statement describes a discovery that we could reasonably expect to find if the nebular theory is correct.not consistent with theory: the statement describes a discovery that would force us to modify or discard the nebular theory.
You need to include:
An explanation of gravity
An explanation of how mass determines (or affects) the force of gravity
An explanation of the part air resistance plays
An example of the force of gravity (be creative)
Gravity is a force attracting two masses, with strength depending on their mass and distance apart. Air resistance affects how objects fall, especially lighter ones. A creative example is traveling by balloons, where releasing air and gravity interact to influence descent.
Explanation of Gravity
Gravity is a fundamental force that causes two objects with mass to be attracted to one another. It is why objects fall to the ground when released, and it keeps planets in orbit around stars. The force of gravity depends on the mass of the objects and the distance between them. According to Newton's law of gravity, the more mass an object has, the more powerful its gravitational pull. According to Einstein's theory of general relativity, gravity is the result of massive objects causing a curvature in spacetime.
Effect of Mass on Gravity
The force of gravity is directly proportional to the mass of the objects involved, meaning that larger masses will exert a stronger gravitational pull. If you were to calculate the gravitational pull between two objects, you would use the equation F = G (m1 * m2) / r², where G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between their centers of mass.
Role of Air Resistance
Air resistance acts against the force of gravity, especially on light or low-density objects. It is this resistance that explains why a feather falls more slowly than a bowling ball, despite gravity pulling on all objects equally. Air resistance depends on the speed and surface area of the falling object, as well as the density of the air.
Creative Example of the Force of Gravity
Imagine a world where everyone travels by balloons. The only way to move downward is by releasing some of the air from your balloon. Here, the force of gravity and the mass of the person in the balloon interact to determine how quickly they descend, with air resistance playing a part depending on the size and shape of the balloon.
A piston has an external pressure of 15.0 atm. how much work has been done in joules if the cylinder goes from a volume of 0.150 liters to 0.640 liters?
In Physics, the work done on a system is calculated using the formula W = P∆V. Using a conversion factor to change atmospheres to Joules/liter, the total work done by the piston as the cylinder's volume changed was approximately 744.55 Joules.
Explanation:The work done on a system in physics is given by formula W = P∆V, where P is pressure and ∆V is the change in volume. Considering the conversion factor of 1 atm equaling 101.3 J/liter in this context, we apply this formula to find the work done. Given that the pressure equals 15.0 atm, which is equal to 1519.5 Joules per liter, and the change in volume equals 0.490 liters (0.640 liters - 0.150 liters), we multiply these values together to determine the work to be approximately 744.55 Joules.
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If you double the radius of the earth and keep the mass of the earth the same, the acceleration of gravity on the surface of the earth will be approximately ...
How long does it take the sun to melt a block of ice at 0∘c with a flat horizontal area 1.0 m2 and thickness 1.0 cm ? assume that the sun's rays make an angle of 37 ∘ with the vertical and that the emissivity of ice is 0.050?
The first step in solving
this problem is to calculate for the volume of ice:
V = A w
V = 1 m^2 (0.010 m)
V = 0.010 m^3
At 0°C, the density of solid block of ice is: d = 917 kg /
m^3
Therefore the mass of the solid ice is:
m = 917 kg / m^3 * 0.010 m^3
m = 9.17 kg
The heat of fusion of ice is equivalent to 333.55 kJ/kg,
therefore:
Phase change enthalpy = 333.55 kJ/kg (9.17 kg)
Phase change enthalpy = 3,058.65 kJ = 3,058,650 J
Using 1kW/m^2 insolation energy:
1kW/m^2 * (.05) * sin(90°-37°) = 39.93 Watts = 39.93 Joule/s
m²
Therefore the time required to melt the ice is:
t = (3,058,650 J) / [39.93
Joule/s m² * (1 m^2)]
t = 76,600.3 s = 21 hours 16 min 40 seconds
To calculate the time it takes for the sun to melt the block of ice, we need to calculate the amount of heat transfer. The heat used to melt the ice is given by Q = mLf, where Q is the amount of heat transfer, m is the mass of the ice, and Lf is the latent heat of fusion of the ice.
Explanation:To calculate the time it takes for the sun to melt the block of ice, we need to calculate the amount of heat transfer. The heat used to melt the ice is given by Q = mLf, where Q is the amount of heat transfer, m is the mass of the ice, and Lf is the latent heat of fusion of the ice.
First, we need to calculate the mass of the ice using the formula m = ρV, where ρ is the density of ice and V is the volume of the ice. Since the thickness of the ice is given as 1.0 cm and the area is 1.0 m², the volume can be calculated as V = A × h, where A is the area and h is the thickness.
Once we have the mass of the ice, we can use the formula Q = mLf to calculate the amount of heat transfer. Finally, we can calculate the time it takes for the ice to melt by dividing the amount of heat transfer Q by the rate of heat transfer P, which can be calculated using the equation P = BEA(T1 - T2), where B is the angle factor, E is the emissivity of ice, A is the area, and (T1 - T2) is the temperature difference between the sun and the ice.
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Calculate the average velocity of the car for the time interval t=0 to t1 = 2.00 s .
Among all the given options, the correct option is option A. Distance, displacement, or acceleration can be used to describe motion.
What is average velocity?Physical quantity concepts like velocity, velocity, distance, displacement, or acceleration can be used to describe motion. Sir Isaac Newton provided the correct definition of motion. These quantities are all explained in terms of the same parameter, time.
The proportion of the total all quantities to the entire number of quantities is what is simply meant by the word "average." In Physics, an alternative strategy is used. Let's first define velocity precisely as well as speed and how the two are related before moving on to average velocity.
Total Displacement = Area under v-t graph
=πr²/2
=π×1²/2
=π/2m
Average velocity = Total Displacement / total time
= π/2/2 = π/4m/s
Therefore, the correct option is option A.
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A roller coaster travels 200 feet horizontally and then rises 135 feet at an angle of 30 degrees above the ground. What is the magnitude of the resultant vector?
The roller coaster's path is represented by two vectors: a horizontal and an inclined one. The inclined path is further broken into its vertical and horizontal components. By summing up the squares of the total horizontal and vertical distances (after calculating these components) and taking the square root, the magnitude of the resultant vector equates to 323.95 feet.
Explanation:The question relates to the calculation of the magnitude of a resultant vector, which is a concept in physics. The roller coaster's path can be represented as two vectors - the horizontal and the inclined path. The magnitude of the resultant vector can be calculated using the Pythagorean theorem, which is commonly used in physics to determine the resultant of perpendicular vectors.
The horizontal displacement is 200 feet. However, the vertical displacement is part of the inclined path, which needs to be broken down into its components to get the vertical and horizontal distances. The vertical distance covered in the inclined path can be calculated as 135 sin(30) = 67.5 feet and the horizontal distance as 135 cos(30) = 116.7 feet. Thus, the total horizontal distance becomes 200 + 116.7 = 316.7 feet.
The resultant vector, which represents the total path covered by the roller coaster, can be calculated by adding the squares of the total horizontal and vertical distance and then taking the square root of the sum. Using the Pythagorean theorem, the magnitude of the resultant vector becomes √(316.7² + 67.5²) = 323.95 feet.
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A person walks first at a constant speed of 5.10 m/s along a straight line from point circled a to point circled b and then back along the line from circled b to circled a at a constant speed of 2.75 m/s. (a) what is her average speed over the entire trip? 3.57 correct: your answer is correct. m/s
A river flows due south with a speed of 1.4 m/s . you steer a motorboat across the river; your velocity relative to the water is 4.7 m/s due east. the river is 660 m wide. part a what is the magnitude of your velocity relative to the earth? express your answer with the appropriate units.
Final answer:
The magnitude of your velocity relative to the Earth when steering a motorboat across a river with given velocities is 4.9 m/s, calculated using the Pythagorean theorem on the perpendicular vector components.
Explanation:
To calculate the magnitude of your velocity relative to the Earth as you steer a motorboat across a river, you need to consider the velocities in the southern and eastern directions as vectors. The velocity of the river is 1.4 m/s south, while the velocity of the boat relative to the water is 4.7 m/s east. Applying the Pythagorean theorem to these perpendicular vector components, we find the total velocity relative to the Earth by calculating the magnitude of the resultant vector:
Vtot = \\(v_x^2 + v_y^2\\)
Where Vx is 4.7 m/s (eastward component of boat velocity) and Vy is 1.4 m/s (southward component of river velocity).
Vtot = \\(4.7^2 + 1.4^2\\)^{0.5} = \\sqrt{22.09 + 1.96} = \\sqrt{24.05} = 4.9 m/s
The magnitude of your velocity relative to the Earth is 4.9 m/s.
If a flea can jump straight up to a height of 0.550 m , what is its initial speed as it leaves the ground?
Final answer:
The initial speed of a flea as it leaves the ground to reach a height of 0.550 meters is approximately 3.29 meters per second, calculated using the formula v = √{2gh}, where g is the acceleration due to gravity and h is the height.
Explanation:
The question asks us to find the initial speed of a flea as it leaves the ground to reach a height of 0.550 meters. To solve this, we can use the physics concept of kinematic equations, specifically the one that relates initial velocity, acceleration due to gravity, and maximum height achieved by a projectile. The formula we will use is: v = √{2gh}, where v is the initial velocity, g is the acceleration due to gravity (approximately 9.81 m/s²), and h is the maximum height (0.550 m).
Substituting the given values into the formula, we get:
v = √{2*9.81*0.550} = 3.29 m/s.
Therefore, the initial speed of the flea as it leaves the ground is approximately 3.29 meters per second.