An indicator that orients you when defining a motion is called the reference point. The reference point provides a fixed framing of reference for monitoring and describing the position, velocity, and acceleration of an object.
How can you explain the use of reference point?If you are describing the motion of a car on a highway, you can use the side of the road or a specific landmark as the reference point. By using a reference point, you can determine the position, velocity, and acceleration of the car.
How can you determine an object is in motion?An object is considered to be in motion if its position changes relative to a reference point over time. There are several ways to resolve if an object is in motion like Heeding its position, measuring its velocity and observing its acceleration.
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which part of the fluorescence microscope will you adjust to direct the appropriate excitation wavelengths at your specimen?
which telescope is a multinational effort, including europe, the united states, and canada? a. hubble b. james webb c. spitzer d. laika
James Webb telescope is a multinational effort, including Europe, the United States, and Canada.
What are the features of the James Webb telescope?The James Webb Space Telescope, usually known as JWST or Webb, is NASA's most powerful and largest space scientific telescope. It is a world-class observatory with a huge infrared telescope with a 6.5-meter primary mirror.
Webb will investigate every stage of our universe's history, from the first brilliant glows after the big bang through the emergence of solar systems capable of supporting life on planets such as Earth, as well as the evolution of our own solar system. It will expand on the discoveries made by the Hubble Space Telescope.
Webb was launched aboard an Ariane 5 rocket from Europe's Spaceport in French Guiana on the northeastern coast of South America on December 25, 2021. The Ariane 5 was provided by the European Space Agency (ESA).
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if two successive overtones of a vibrating string are 320 hz and 400 hz , what is the frequency of the fundamental?
the frequency of the fundamental (first overtone) is 160 Hz.
The difference between the frequencies of two succeeding overtones can be used to determine the frequency of the fundamental (first overtone) of a vibrating string.
Let's use the letters f1 for the fundamental overtone's frequency and f2 and f3 for the overtones that follow.
F2 = 320 Hz, and F3 = 400 Hz, as we are aware.
The following gives the relationship between the fundamental's frequency and its overtones:
f2 = 2 * f1\sf3 = 3 * f1
Therefore, we may equalize the two equations:
320 Hz = 2 * f1
400 Hz = 3 * f1
by the matching overtone number in each equation:
320 Hz / 2 = f1
400 Hz / 3 = f1
Calculating f1:
320 Hz / 2 = 400 Hz / 3\s320 * 3 = 400 * 2\s960 = 800, giving 160Hz frequency.
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a ball is thrown straight up from ground level. it passes a 2-m-high window. the bottom of the window is 7.5 m off the ground. the time that elapses from when the ball passes the bottom of the window on the way up, to when it passes the top of the window on the way back down is 1.3 s.
From the ground, a ball is hurled straight up. A 2-m-high window is passed by it. The ball's starting velocity is 4.82 m/s because the bottom of the window is 7.5 metres above the ground.
What does level ground mean?Level ground refers to the lowest level of a structure when the majority of its height is exposed above the ground level of the nearby street or riverwalk. The floor that is level with the ground is referred to as the first floor in American English, followed by the floor that is above it and so on. The term "Ground Level" refers to the height of the main construction entrance to the structure or building.
What are ground level activities?Walking, slipping, tripping, transfers (such as getting up from a chair or bed), falling from furniture (such as a bed or sofa), picking something up off the ground, and standing tasks were all considered to be ground level activities (e.g., washing dishes).
We can employ the kinematic equation to get the ball's starting velocity:
h = vi * t + 0.5 * a * t^2
where an is the acceleration brought on by gravity (-9.8 m/s2), vi is the initial velocity, t is the time (1.3 s), and h is the window's height (2 m).
Rearranging the equation to solve for vi:
vi = sqrt(2 * a * h / t^2)
Substituting the values:
vi = sqrt(2 * (-9.8) * 2 / 1.3^2)
= sqrt(39.2 / 1.69)
= sqrt(23.18)
= 4.82 m/s
Therefore, the ball's initial velocity is roughly 4.82 m/s.
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an unstrained horizontal spring has a length of 0.34 m and a spring constant of 310 n/m. two small charged objects are attached to this spring, one at each end. the charges on the objects have equal magnitudes. because of these charges, the spring stretches by 0.026 m relative to its unstrained length. determine (a) the possible algebraic signs and (b) the magnitude of the charges.
The possible algebric signs could be positive or negative and magnitude of charges will be [tex]4.89 * 10^-4 C[/tex]
The spring extension can be calculated using Hooke's law:
F = kx
where
F = force on the spring
k = spring constant (310 N/m)
x = extension (0.026 m)
We know that the force on the spring is equal to the sum of the forces on each of the charged objects. The force on each object is given by Coulomb's law:
[tex]F = k * q1 * q2 / r^2[/tex]
where
q1, q2 = charges on the objects
r = distance between the objects (0.34 m)
Combining the two equations, we get:
[tex]k * x = 2 * k * q1 * q2 / r^2[/tex]
[tex]q1 * q2 = (k * x * r^2) / 2k[/tex]
[tex]q1 * q2 = (310 N/m * 0.026 m * 0.34 m^2) / (2 * 310 N/m)[/tex]
[tex]q1 * q2 = 2.38 * 10^-7 C^2[/tex]
The algebraic sign of the charges could be either positive or negative. The magnitude of charges can be found using:
[tex]q = \sqrt{(q1 * q2)} = \sqrt{(2.38 * 10^-7 C^2)} = 4.89 * 10^-4 C[/tex]
(a) The signs of the charges could be positive or negative.
(b) The magnitude of the charges is [tex]4.89 * 10^-4 C.[/tex]
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which is not true about an order-of-magnitude estimation? (a) it gives you a rough idea of the answer. (b) it can be done by keeping only one significant figure. (c) it can be used to check if an exact calculation is reasonable. (d) it may require making some reasonable assumptions in order to calculate the answer. (e) it will always be accurate to at least two significant figures
which is untrue in the case of an estimate of an order of magnitude. (A) It provides a general concept of the solution. (b) It is possible if you just keep one significant figure.
What does "order of magnitude" mean?
magnitude is a measurement used to describe the relationship between two variables; two quantities are said to be of the same magnitude if they are separated by a difference in magnitude that is stated to a power of 10.
What does math's magnitude mean?
Magnitude (mathematics) (mathematics) A mathematical object's magnitude, or size, is a quality that describes whether it is bigger or smaller than some other things of the same type. Formally speaking, the size of an object is the visible outcome of the group of objects it belongs to being ranked or ordered.
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if the pressure amplitude were increased by a factor of 10.0, what would the new sound intensity level be?
The new sound intensity level, L', will be 20 dB higher than the original sound intensity level, L. The sound intensity level, L, is a measure of the sound wave's power per unit area, relative to a reference value. It is expressed in decibels (dB).
The sound intensity level, L, is defined as 10 log (I/I0), where I is the intensity of the sound wave and I0 is the reference intensity. To find the new sound intensity level if the pressure amplitude is increased by a factor of 10.0, we first need to find the new intensity of the sound wave.
The sound intensity, I, is proportional to the square of the pressure amplitude, P:
I ∝ P²
So if the pressure amplitude is increased by a factor of 10.0, the intensity will be increased by a factor of 10.0² = 100.0. The new intensity, I', is given by:
I' = 100.0I
Using this new intensity, we can find the new sound intensity level:
L' = 10 log (I'/I0) = 10 log (100.0I/I0) = 10 log (100.0) + 10 log (I/I0) = 20 + L
So the new sound intensity level, L', will be 20 dB higher than the original sound intensity level, L.
In this calculation, we use the fact that log (ab) = log a + log b, where a and b are positive numbers.
So, if the pressure amplitude were increased by a factor of 10, the new sound intensity level would be 20 dB higher than the original sound intensity level. This relationship between pressure amplitude, intensity, and sound intensity level is important for understanding the physical properties of sound waves and for comparing the strength of different sounds.
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what is the escape speed of an electron launched from the surface of a 1.4- cm -diameter glass sphere that has been charged to 10 nc ?
The escape speed of an electron launched from the surface of the sphere comes out to be approximately 1.6 x 10^6 m/s.
The escape speed of an electron launched from the surface of a charged sphere can be calculated using the following equation:
v_escape = sqrt(2 * k * q / m)
where k is Coulomb's constant,
q is the charge on the sphere,
and m is the mass of the electron.
For a glass sphere with a diameter of 1.4 cm charged to 10 nC,
the charge on the sphere can be calculated as follows:
q = 4 * pi * epsilon_0 * R * V
where epsilon_0 is the vacuum permittivity,
R is the radius of the sphere, and
V is the potential difference.
The radius of the sphere can be calculated as
R = 0.7 cm.
The potential difference can be calculated as
V = q / C,
where C is the capacitance of the sphere,
which can be calculated as
C = 4 * pi * epsilon_0 * R.
Substituting the values, we get:
q = 4 * pi * 8.854e-12 * 0.7 * 10e-9
V = q / (4 * pi * 8.854e-12 * 0.7)
The mass of an electron can be taken as 9.11e-31 kg. Substituting the values in the escape speed equation, we get:
v_escape = sqrt(2 * 8.98e9 * q / 9.11e-31)
v_escape=1.6 x 10^6 m/s
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the principal controls and influences of temperature patterns include
Latitude, height, variances in the heating of land and water, weather patterns, ocean currents, or surface texture are the main factors that affect and determine temperature trends.
What are the temperature's three main controls?Particularly, different parts of the earth's surface have different average surface air temperatures. Latitude, being close to water, and height are the "big three" factors that determine a location's temperature.
What kind of temperature control system is this, for instance?A form of control system called a temperature centralized system regulates an object's or an area's temperature automatically. In appliances like conditioners, refrigerators, geysers, etc., we frequently employ temperature control systems where the temperature is automatically changed based on the input parameters.
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a horizontal force of 94.7 n is applied to a 32.5 kg crate on a rough, level surface. if the crate accelerates at 1.23 m/s2, what is the magnitude of the force of kinetic friction (in n) acting on the crate?
Answer:
The magnitude of the force of kinetic friction is 54.725 Newtons
Explanation:
We can use Newton's Second Law of Motion to evaluate the force of friction.
Newton's Second Law states
[tex]F_n_e_t=ma[/tex]
The formula for friction force is
[tex]F_{F}=\mu F_N[/tex]
[tex]F_N[/tex] is the normal force
The formula for normal force on a level surface is
[tex]F_N=mg[/tex]
In this example we have positive horizontal force and the force due to friction opposing the motion of the crate.
Let [tex]F_H[/tex] represent the horizontal force.
Therefore we can say the net force in this example is
[tex]ma=F_H-F_F[/tex]
Solving for [tex]F_F[/tex] gives us
[tex]F_F=F_H-ma[/tex]
In this example we are given
[tex]F_H=94.7\\m=32.5\\a=1.23[/tex]
Lets substitute our known values into our equation.
[tex]F_F=94.7-32.5*1.23[/tex]
Evaluate and simplify.
[tex]F_F=94.7-39.975[/tex]
[tex]F_F=54.725[/tex]
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did the cup have kinetic energy before you lit the candle? did it have kinetic energy after the candle was lit? when did it have more kinetic energy?
Yes, there was kinetic energy in the paper spiral before we ignited the flame of the candle because it was moving. It cup will have the most kinetic energy when just lifted.
The cup had kinetic energy because it was in motion when the candle was lifted before lighting it.
Kinetic energy is essentially energy that the body possesses as a result of its motion. So, when we lift the cup, we cause it to move. When the candle was just lofted up, the cup in which it was lying had the most kinetic energy. And yes, the it has energy when the candle was lifted.
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What is the relationship between frequency and amount of energy ? Give an example using number of HZ (Properties of Wave's on Summit)
The relationship between frequency and amount of energy is:
amount of energy = Plank's constant × frequency of the EM wave.
What is electromagnetic wave?When an electric field interacts with a magnetic field, electromagnetic waves are created. Therefore, they are referred to as "electromagnetic" waves. An electromagnetic wave's electric field and magnetic field are perpendicular to one another (at right angles).
The relationship between frequency and amount of energy is:
amount of energy = Plank's constant × frequency of the EM wave.
Where Plank's constant is 6.626 × 10⁻³¹ Joule/Hz, Hence, a wave of 1 Hz frequency have 6.626 × 10⁻³¹ Joule of energy.
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What is the wavelength of a sound wave with a frequency of 9.3 Hz and a wave speed of 3.1 m/s?
The wavelength of the sound wave is 33.33 cm.
What is wavelength?The distance over which a periodic wave's shape repeats is known as the wavelength in physics. It is a property of both travelling waves and standing waves as well as other spatial wave patterns.
It is the distance between two successive corresponding locations of the same phase on the wave, such as two nearby crests, troughs, or zero crossings.
The wavelength of the sound wave is = velocity/frequency
= 3.1/9.3 meter
= 0.3333 meter
= 33.33 cm.
Hence, the wavelength of the sound wave is 33.33 cm.
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two parallel conducting plates are connected to a constant voltage source of 27 kv. if the plates are separated by 18 cm, what is the magnitude of the electric field generated by the plates?
A 27 kv constant voltage source is attached to two parallel conducting plates. The size of the electric field produced by the plates is 150000 N/C if they are separated by 18 cm.
The electric field between two parallel plates can be calculated using the equation:
E = V / d
where E is the electric field,
V is the potential difference between the plates, and
d is the separation between the plates.
In this case, the potential difference between the plates is
27 kV (27000 V),
and the separation between the plates is 18 cm (0.18 m),
so:
E = 27000 V / 0.18 m
= 150000 N/C
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Caused or operated by heat that has changed into different forms of energy is called: _________
The process of converting one form of energy into another is referred to as energy conversion.
What do you mean by energy conversion?The process of converting energy from one form to another is referred to as energy transformation. Energy is a quantity in physics that gives the capacity to perform labour or move (e.g., lifting an object) or provides heat. Energy, in addition to being converted, is transferable to a different location or object, but it cannot be created or destroyed, according to the law of conservation of energy.
Many sources of energy can be employed in natural processes or to give a service to society, such as heating, refrigeration, lighting, or mechanical work to power machines. For example, to heat a house, the furnace burns fuel, converting its chemical potential energy into thermal energy, which is then delivered to the house.
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a string of length l with fixed ends is made to go into standing wave patterns. what is the longest wavelength associated with all possible standing wave patterns in this situation?
Its node and antinodes alternate with an identical spacing for any and all standing wave frequencies. The smallest frequency that will cause a standing wave is one whose wavelength is longest.
Nodes and anti-nodes develop in what way?
Anti-nodes and nodes. It is created as a result of two waves travelling across the same medium at precisely the right timing and interference. A standing wave is not a wave in and of itself; rather, it is the design that develops when two wave of the same energy move in opposite directions in the same material.
What distinguishes an antinode from a standing wave?
Remember that what a wave shape is a pattern, not a wave, that is created when a number of waves interfere with one another. The antinode is not strictly a spot on a wave because a wave is not considered to be a wave. The antinodes and nodes are just special spots on
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a light rays is aimed at a stack of materials with different indices of refraction, n1, n2, and n3. as the light goes from n1 into n2 the refracted angle is larger than the incident angle. at the n2 to n3 interface the light is completely reflected. which statement is true?
The speed of light will increase at the n2 to n3 border as it moves from a denser to a rarer medium, where it is totally reflected.
When a light ray enters a media with refractive index n1 to the medium with n2, what happens?When light rays from a media having a refractive index of n1 enter a medium with a refractive index of n2 at a curved interface, the formula is provided. Vn2−Un1=Rn2−n1.
What do you call a light beam that passes through various materials with various indices?
Anytime light is reflected when it enters a material with a differing refractive index at an angle (optical density). This shift in speed is what led to the change in direction. For instance, light slows down as it moves from air to water, which causes it to continue moving in a different angle or direction.
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the behavior when the rocks elastically snap back to their previous dimensions with the release of associated stress accompanied with sudden displacement is called
The "elasticity rebound concept" of earthquakes refers to this steady buildup and releasing of stress and strain. The abrupt elastic rebounding of already stored energy is what causes most earthquakes.
What happens after an earthquake when a rock returns to its natural, stress-free form?Until the stress is so high that the rocks unexpectedly slip past one another, portions of a fault stay locked. An earthquake's shaking and vibrations are brought on by this slippage. Elastic rebound leads to earthquakes. Rock that has been elastically distorted suddenly returns to its original shape.
How would you characterise the reactions of rocks under various stresses?Rock can deform under stress in three different ways: elastically, plastically, or through breaking or fracturing. Similar to a rubber band that returns to its original shape when tension is released, elastic strain is reversible.
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What is one environmental disadvantage of nuclear energy?
The disadvantage of nuclear energy is that it produces radioactive wastes.
What is radioactive waste?The generation of radioactive wastes such as uranium mill tailings, spent (used) reactor fuel, and other radioactive wastes is a serious environmental hazard associated with nuclear power. For thousands of years, these elements can stay radioactive and harmful to human health.
A sort of hazardous waste that contains radioactive substances is radioactive waste. Many operations, including nuclear medicine, nuclear research, nuclear power generation, rare-earth mining, and nuclear weapons reprocessing, produce radioactive waste. Government authorities regulate the storage and disposal of radioactive waste in order to protect human health and the environment.
Radioactive waste is divided into three categories: low-level waste (LLW), which contains small amounts of mostly short-lived radioactivity, intermediate-level waste (ILW), which contains higher amounts of radioactivity and requires some shielding, and high-level waste (HLW), which is highly radioactive and hot due to decay heat and thus requires cooling and shielding.
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a rescue plane wants to drop supplies 220 m below. if the plane is traveling at a speed of 80 m/s, what is the magnitude of the velocity of the supply when it lands
Supplies will be dropped from a rescue plane 220 metres below. if the aircraft is moving at 80 metres per second So the magnitude of the velocity of the supply when it lands is 65.076 m/s.
The velocity of an object under constant acceleration (in this case, due to gravity) can be found using the equation
v = v_0 + a * t
where v is the final velocity, v_0 is the initial velocity,
a is the acceleration (in this case, due to gravity,
which has a magnitude of 9.8 m/s^2),
and t is the time it takes for the object to fall.
To find t, we can use the equation:
d = v_0 * t + 0.5 * a * t^2
where d is the distance the object falls.
Solving for t:
t = √(2d/a)
= √(2 * 220 m / 9.8 m/s^2)
= 6.62 s
Now we can plug the value of t back into the equation for v:
v = v_0 + a * t
= 0 + 9.8 m/s^2 * 6.62 s
= 65.076 m/s
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truck accelerates from 10.0 m/s to 13.0 m/s in 10.0 s. how far did it travel during that time? type your answer here
The distance covered by the truck during acceleration is 115m.
A moving object's distance can be determined using the following equation:
distance equals average speed times time
Finding the average of the truck's initial and end speeds will allow you to determine its average speed during the 10.0 s acceleration:
Average speed is calculated as follows: (10.0 m/s + 13.0 m/s) / (2 beginning speed + final speed) = 11.5 m/s
Now, we can determine the distance traveled using this average speed and the acceleration time:
Average speed times time is 11.5 m/s times 10 s, or 115.0 m.
Therefore, in the 10.0 seconds it took to go from 10.0 m/s to 13.0 m/s, the truck covered 115.0 meters.
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a proton, initially at rest, is accelerated through an electric potential difference of 500 v. what is the speed of the proton?
The speed of proton accelerated through potential difference of 500 V is, [tex]v_f = 956.98 \times 10^4 \ m/s[/tex] .
Proton Electric field system as an isolated system for energy.
Applying energy conservation,
ΔK + ΔU = 0
The energy difference can be written as,
[tex]\dfrac{1}{2}m(v_f^2-v_i^2) - q \triangle V = 0[/tex]
where, m is the mass of proton, q is its charge, [tex]v_i[/tex] is the initial velocity and [tex]v_f[/tex] is the final velocity.
Here the proton starts from rest initial velocity is 0.
[tex]\dfrac{1}{2}m(v_f^2) - q \triangle V = 0[/tex]
The final velocity is,
[tex]v_f = \sqrt{\dfrac{2q\triangle V}{m}}[/tex]
The potential difference is, 500 V.
[tex]v_f = \sqrt{\dfrac{2\times 1.602 \times 10^{-19} \times 500}{1.674 \times 10^{-27}}}[/tex]
[tex]v_f = 956.98 \times 10^4 \ m/s[/tex]
The speed of proton is, [tex]v_f = 956.98 \times 10^4 \ m/s[/tex] .
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which net pressure draws fluid into the capillary?
a hall probe gives a reading of \(1.5\mu v\) for a current of 2 a when it is placed in a magnetic field of 1 t. what is the magnetic field in a region where the reading is for 1.7 a of current?
The magnetic field in the region where the reading is for 1.7 A of current is 3.4 T.
The voltage produced by a Hall probe is proportional to the product of the magnetic field, the current, and a constant known as the Hall coefficient, denoted by "R_H". Mathematically, the relationship can be expressed as:
V = R_H * I * B
Where V is the voltage, I is the current, and B is the magnetic field.
We know the Hall coefficient and the magnetic field for a current of 2 A:
V = 1.5 * 10^(-6) V
R_H = V / (I * B) = 1.5 * 10^(-6) V / (2 A * 1 T)
Next, we can use the value of the Hall coefficient to find the magnetic field for a current of 1.7 A:
B = V / (R_H * I) = 1.5 * 10^(-6) V / (R_H * 1.7 A)
B = (1.5 * 10^(-6) V) / (R_H * 1.7 A) = (1.5 * 10^(-6) V) / (V / (2 A * 1 T) * 1.7 A)
B = (1.5 * 10^(-6) * 2 * 1 * 1.7) / (10^(-6)) = 2 * 1.7 T = 3.4 T
A magnetic field is a force field that is created by a magnetic object or a current-carrying conductor. It is an invisible field that exerts a force on charged particles in motion and causes them to move in a circular path around the magnetic object or conductor. The direction of the magnetic field is determined by the right-hand rule, which states that if you point your thumb in the direction of the current flow and your fingers in the direction of the magnetic field, your thumb will be pointing in the direction of the north pole of the magnetic object.
The strength of the magnetic field is measured in units of Tesla (T) or Gauss (G). A magnetic field is a vector area, which means that it has both significance and path. The magnetic field can interact with other magnetic fields, causing them to attract or repel each other.
Magnetic fields have many practical applications, such as in electric motors, generators, and MRI machines. They are also present in the Earth's atmosphere and play a crucial role in shielding the planet from harmful solar radiation. The study of magnetic fields is a branch of physics known as electromagnetism, which explores the relationship between electricity and magnetism.
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Explain the relationship between gravity and weight.
Explanation:
The gravity equation defines the relationship between weight, mass, and gravity:
W = mg
Before a collision, the x-momentum of an object is 8.0 × 103 kilogram meters/second, and its y-momentum is 1.2 × 104 kilogram meters/second. What is the magnitude of its total momentum after the collision?
The magnitude of its total momentum after the collision is 124.8 kg-m/sec.
What is momentum?The definition of momentum is the quality that a moving body possesses due to its mass and motion, and it is determined by multiplying the body's mass by its speed.
Given that the x-momentum of an object is 8.0 × 103 kilogram meters/second, and its y-momentum is 1.2 × 104-kilogram meters/second the resultant momentum after collision is 124.8 kg-m/sec.
The magnitude of its total momentum after the collision is 124.8 kg-m/sec.
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a subway train starts from rest at a station and accelerates at a rate of 1.60 m/s2 for 14.0 s. it runs at constant speed for 70.0 s and slows down at a rate of 3.50 m/s2 until it stops at the next station.
The presented statement estimates that the subway train traveled a total of 1798.18 meters.
What is the straightforward meaning of speed?The degree which an object's positioning changes in any direction. The inverse of the distance reached to the time needed to travel that distance is known as speed. Given that it only has to have a direction and no magnitude, tempo is a synthesis number.
initial acceleration (a1)= 1.60m/s^2
time (t1) = 14s
time for constant speed = 70s
deceleration (a2) = 3.50 m/s^2
total distance = ?
Velocity - Time Graph
We need to create the velocity-time graph in order to adequately address this problem.
By summing the separate areas of the figures, the distance may be computed.
Area of first triangle.
1/2b*h
However, this train's speed would be indicated by its height.
Velocity = acceleration * time
Velocity = 1.6 * 14 = 22.4m/s
The triangular is 22.4 meters tall.
Let's swap the variables and calculate the area.
A1 = 1/2*14*22.4 = 157.5m
The perimeter of the rectangle is the following distance that we would measure.
A = L*W
L = 22.4
W = 70
A = 22.4 * 70 = 1568m
The last triangle is the distance that has to be calculated.
Triangle area is equal to 1/2b*h.
However, we are unsure exactly how long the slowdown took on a base (time) basis.
Use the link between velocity, acceleration, and time.
Acceleration = velocity/time
time = velocity/acceleration
time = 22.4/3.5
time = 6.4s
Replace the values and find the Area by substituting
A = 1/2*b*h
A = 1/2 *6.4*22.4
A = 72.68m
The train travels a total of 157.5m Plus 1568m + 72.68m.
Distance = 157.5 + 1568 + 72.68
Distance = 1798.18m
The computed distance traveled by the metro train is 1798.18 meters.
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The complete question is-
A subway train starts from rest at a station and accelerates at a rate of 1.60m/s^2 for 14.0s. It runs at constant speed for 70.0s and slows down at a rate of 3.50m/s^2 until it stops at the next station.Find the total distance covered.
what are the dimesnions of the lightest opne top right cylindrical can that can hold a volume of 1000cm
Dimesnions of the lightest open top right cylindrical can that can hold a volume of 1000[tex]cm^{3}[/tex] is [tex]r=h[/tex] ≈ 6.83cm
The volume of a right circular cylinder is V[tex]=\pi r^{2} h[/tex],
where [tex]r[/tex] is the radius of the circular base of the cylinder and [tex]h[/tex] is the height of the cylinder. If the cylinder is close-top, the surface area of the cylinder is [tex]A[/tex][tex]=[/tex][tex]2\pi r^{2} +2\pi rh[/tex].
Therefore, if it's open-top, its surface area is A =[tex]\pi r^2 + 2\pi r h.[/tex]
In order to find the smallest surface area of the cylindrical can that can hold a volume of 1000 [tex]cm^{3}[/tex],
we must express [tex]A[/tex] in terms of one variable only. Let's express [tex]A[/tex] in terms of [tex]r[/tex]. So we have to express [tex]h[/tex] in terms of [tex]r[/tex] and we know that [tex]\pi r^2h = 1000.[/tex]
Thus we have:
[tex]\pi r^{2} h=1000[/tex]
[tex]h=\frac{1000}{\pi r^{2} }[/tex]
So, the surface area in terms of [tex]r[/tex] is [tex]A=\pi r^{2} +2\pi r(\frac{1000}{\pi r^{2} })[/tex]
[tex]=\pi r^{2} +\frac{2000}{r}[/tex]
Now lets differentiate [tex]A[/tex] with respect to [tex]r[/tex] and set it to 0 and solve for [tex]r[/tex]:
[tex]\frac{dA}{dr} =2\pi r-\frac{2000}{r^{2} } \\0=2\pi r-\frac{2000}{r^{2} }[/tex]
[tex]2\pi r=\frac{2000}{r^{2} }\\ 2\pi r^{3} =2000\\r^{3}=\frac{1000}{\pi }[/tex][tex]r=\sqrt[3]{\frac{1000}{\pi } }[/tex]≈ [tex]6.83[/tex]
Since, [tex]h=\frac{1000}{\pi r^{2} } ,[/tex]
[tex]h=\frac{1000}{\pi (\sqrt[3]{\frac{1000}{\pi })^{2} } }[/tex] ≈ [tex]6.83[/tex]
therefore, when the radius [tex]r[/tex] and the height [tex]h[/tex] are both 6.83 then the open-top cylinder will have the smallest surface area that can hold 1000 [tex]cm^{3}[/tex]
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what are the units of k for a zeroth order reaction?
M/s, 1/s, and 1/(Ms) are the units of k for zero-order reactions, first-order reactions, and second-order reactions, respectively.
What is zero order of reaction?A chemical reaction of the zeroth order is one in which the rate of reaction is constant and unaffected by the concentration of the chemicals being reacted.
What is the zero-order reaction's half-life unit?The mathematical formula t1/2 = [R]0/2k can be used to determine the half-life of a zero-order reaction. A first-order reaction's half-life can be calculated using the formula t1/2 = 0.693/k.
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arnold strongman and suzie small each pull very hard on opposite ends of a rope in a tug-of-war. the greater force on the rope is exerted by
The greater force on the rope is exerted by arnold strongman.
When both competitors are pulling equally hard, their combined force is what has the most effect on the rope. The greater force on the rope, however, will be applied by the contestant pulling with more force if one of the contestants is doing so than the other.
Tug of war - The sport of tug of war puts two teams against one another in a contest of strength. Teams pull on opposite ends of a rope with the objective of moving the rope a particular distance in one direction while resisting the force of the opposing team's pull.
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