Amy experiences less air resistance due to her smaller cross-sectional area compared to Josh, but as she has a lower mass, the air resistance has a more significant effect on her, making her more affected by air resistance.
Explanation:To determine which cyclist, Amy or Josh, is more affected by air resistance, we can examine the force due to air resistance, which can be calculated using the formula:
Fd = (1/2)ρCdAv2
where Fd is the force of drag (air resistance), ρ is the air density (which we'll assume to be constant for both cyclists), Cd is the drag coefficient, A is the cross-sectional area, and v is the velocity.
Given that both cyclists have the same drag coefficient (Cd = 0.70) and are traveling at the same velocity (v = 15 m/s), the only variables that differ between the two are their cross-sectional areas. Since Amy has a smaller mass and a smaller cross-sectional area (A = 0.45 m2), the force of air resistance will be smaller in magnitude compared to Josh's due to his larger cross-sectional area (A = 0.60 m2).
However, air resistance's impact on an object is also related to the object's mass. A smaller force applied to a smaller mass can have a more significant effect than the same force applied to a larger mass. Therefore, even if the force of air resistance is absolutely higher for Josh, Amy, with her lower mass, would be more affected by it, as it would constitute a more substantial proportion of her total mass.
In a biological reaction involving an enzyme, what does not directly participate in the reaction?
A.) The active site of an enzyme
B.) The active site of the substrate
C.) The inactive sure of the substrate
D.) The reactant chdcmicals
What is the frequency of a clock waveform whose period is 750 microseconds?
Why is it important to practice a presentation?
A. To use large type and images
B. To plan the wardrobe
C. To point out the use of each medium
D. To ensure the smooth flow of the presentation
Answer: D. To ensure the smooth flow of the presentation.
Explanation:
A presentation is a narratative explanation of a topic. A practice of presentation is required before presenting it in the front of the audience. It will help in maintaining the desired flow and sequence of the content which an author want to present in a systematic way. It will help in reducing faults and breaks in the conversation.
The surface gravity on jupiter is about three times as much as the surface gravity on earth. this means
The position of a 55 g oscillating mass is given by x(t)=(2.0cm)cos(10t), where t is in seconds. determine the velocity at t=0.40s. express your answer in meters per second to two significant figures.
The velocity of the oscillating particle at [tex]t=0.4\,{\text{s}}[/tex] is [tex]\boxed{1.5\,{{{\text{cm}}}\mathord{\left/{\vphantom{{{\text{cm}}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}}[/tex] or [tex]\boxed{1.5\times{{10}^{-2}}\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}}[/tex] .
Further Explanation:
The position of the oscillating mass is given by:
[tex]x\left(t\right)=\left({2.0\,{\text{cm}}}\right)\cos\left({10t}\right)[/tex]
Here, [tex]x\left(t\right)[/tex] is the position of the particle at time [tex]t[/tex] during the oscillation.
The velocity of the oscillating particle is defined as the rate of change of the position of the body. Thus, it can be expressed as the first derivative of the position of the body while it is oscillating.
The velocity of the particle can be expressed as:
[tex]\boxed{v=\frac{{dx\left(t\right)}}{{dt}}}[/tex]
Substitute the equation of the position in above expression.
[tex]\begin{aligned}v&=\frac{d}{{dt}}\left({\left({2.0\,{\text{cm}}}\right)\cos\left({10t}\right)}\right)\\&=-\left({2.0\,{\text{cm}}}\right)\sin\left({10t}\right)\\\end{aligned}[/tex]
Now, we are to obtain the velocity of the oscillating particle at time [tex]t=0.4\,{\text{s}}[/tex] . So, substitute [tex]0.4[/tex] for [tex]t[/tex] in above equation of velocity.
[tex]\begin{aligned}v&=-\left({2.0\,{\text{cm}}}\right)\sin\left({10\times0.4\,{\text{rad}}}\right)\\&=-2.0\times\left({-0.75}\right)\\&=1.5\,{{{\text{cm}}}\mathord{\left/{\vphantom{{{\text{cm}}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}\\\end{aligned}[/tex]
The velocity of the oscillating particle in [tex]{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}[/tex] while it oscillates is given as:
[tex]\begin{aligned}v&=1.5\,{{{\text{cm}}}\mathord{\left/{\vphantom{{{\text{cm}}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}\left({\frac{{1\,{\text{m}}}}{{100\,{\text{cm}}}}}\right)\\&=1.5\times{10^{-2}}\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}\\\end{aligned}[/tex]
Thus, the velocity of the oscillating particle at [tex]t=0.4\,{\text{s}}[/tex] is [tex]\boxed{1.5\,{{{\text{cm}}}\mathord{\left/{\vphantom{{{\text{cm}}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}}[/tex] or [tex]\boxed{1.5\times{{10}^{-2}}\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}}[/tex] .
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Answer Details:
Grade: College
Subject: Physics
Chapter: Oscillation
Keywords:
Position, 55g particle9t, oscillating mass, velocity at, t=0.40 s, position of particle, rate of change of position, x(t)=(2.0 cm)cos(10t).
A small air plane's takeoff speed is 30 m/s. With constant acceleration it takes 150 m of runway to become airbourne. How long does it take to become airbourne?
Suppose that the resistance between the walls of a biological cell is 6.8 × 109 ω. (a) what is the current when the potential difference between the walls is 69 mv? (b) if the current is composed of na+ ions (q = +e), how many such ions flow in 0.86 s?
Final answer:
The current is 1.01 x 10^-11 A and 5.4 x 10^7 Na+ ions flow in 0.86 s.
Explanation:
In order to find the current, we can use Ohm's Law which states that current (I) is equal to the potential difference (V) divided by the resistance (R). So, the current can be calculated as:
I = V / R
Substituting the given values:
I = (69 mV) / (6.8 × 109 Ω)
I = 1.01 × 10-11 A
For part (b), we need to find the number of Na+ ions (q = +e) that flow in 0.86 s. We can use the equation:
q = I × t
Substituting the known values:
q = (1.01 × 10-11 A) × (0.86 s)
q = 8.7 × 10-12 C
Since 1 Na+ ion has a charge of +e, where e is the elementary charge (1.6 × 10-19 C), we can calculate the number of ions:
Number of ions = q / e = (8.7 × 10-12 C) / (1.6 × 10-19 C)
Number of ions = 5.4 × 107 Na+ ions
Suppose a heat source generates heat at a rate of 87.0 w (1 w = 1 j/s). how much entropy does this produce per hour in the surroundings at 27.4 °c? assume the heat transfer is reversible.
The distance from the sun to the Earth is 1.5 x 1011 m. How long does it take for light from the sun to reach the earth? Give your answer in seconds
it actually takes 500 seconds if you do the math properly but when converted to min 500 sec is 8 min and 20 sec
If we do the arithmetic correctly, it truly takes 500 seconds, but when we translate it to minutes, it takes 8 minutes and 20 seconds.
What is Time?Time is the ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the future.
The four identical dimensions that make up the cosmos are put together to form a single, four-dimensional manifold that is properly called spacetime. Any physical item that is positioned at many points in time has a unique temporal component for each of those periods.
Time is calculated by dividing the distance which is travelled by the speed
For above given example,
the speed of the light is expressed as [tex]3*10^8 m/s[/tex]
Distance of earth from the sun is [tex]1.5 * 10^1^1[/tex] meters.
Thus, Time= Distance of the Earth/ Speed of the light
Time= [tex]1.5* 10^1^1 m[/tex]/ [tex]3*10^8m/s[/tex]
Time = [tex]0.5*10^1^1* 10^-^8\\0.5*10^3\\0.5*1000\\[/tex]
Time= 500seconds which is equals to 8 minutes and 20 seconds.
Thus, it takes 500 seconds for light to travel from the sun to the earth.
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Give three ways you experience normal force throughout your day.
Answer: Static friction, sliding fiction, fluid fiction, and rolling friction
Explanation: static friction (friction that acts upon unmoving objects), sliding fiction (friction that occurs between two objects sliding past each other), fluid friction (is the force that resists motion when fluid is involved)and the last one is rolling friction (the force between a rolling object and a surface).
Resistors in parallel together contain less resistance than resistors in series together. Create an analogy to explain this phenomena and post it here.
Resistors in parallel act like a multi-lane highway which eases traffic, reducing the total electrical resistance compared to individual resistors. This is unlike resistors in series, which increase the total resistance like a single congested road.
When resistors are connected in parallel, the total resistance is lower than any individual resistor in the network. This phenomenon can be understood with a simple analogy: imagine a highway with multiple lanes. If only one lane is open, the traffic (current) has only one path to travel, leading to congestion (high resistance). Now, if all lanes (multiple resistors in parallel) are open, traffic can distribute across them, easing congestion (lowering resistance). The more lanes there are, the less the traffic is slowed down, analogous to the way adding resistors in parallel decreases the total resistance. In contrast, if you had a single long road (resistors in series), the traffic would have to follow one after another, which leads to increased congestion or resistance.
Furthermore, the formula for calculating total resistance for parallel resistors demonstrates that the total resistance (Rp) is always less than the smallest resistor's resistance in the network. By providing multiple paths for the electric current, the circuit allows for more current to flow without increasing resistance, different from a series setup where the total resistance is simply the sum of all resistor values.
You are holding a block of wood with dimensions 3 cm 6 cm 9 cm on the palm of your hand. Which side must be touching your hand for you to experience the greatest force?
The size of the gravitational force depends on the mass of the objects involved. The greater the mass, the greater the gravitational force.
The normal force of weight will not differ for different placements but the force of pressure applied to the surface of your hand is per unit area.
Since, Pressure is equal to the ratio of Force per unit area.
Thus, the side with the smallest area i.e. 3 cm x 6 cm will exert the most pressure on your hand.
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Suppose you have a 150-kg wooden crate resting on a wood floor. (a) what maximum force (in n) can you exert horizontally on the crate without moving it?
Final answer:
In physics, the maximum static frictional force equals the coefficient of static friction times the normal force. Once the crate starts slipping, the force of kinetic friction applies, and acceleration can be calculated using Newton's second law of motion.
Explanation:
The question involves concepts from Physics, specifically dealing with static friction and Newton's second law of motion. The maximum force that can be exerted on a wooden crate without moving it is equal to the maximum static frictional force. This force can be found by multiplying the coefficient of static friction (μ) between the wooden crate and the wood floor by the normal force, which, in this case, is equal to the gravitational force acting on the crate (mass × acceleration due to gravity, g).
If the static frictional force is overcome and the crate begins to slide, and assuming the applied force remains constant, we switch to dealing with kinetic friction. The magnitude of kinetic friction is usually lower than static friction. To find the acceleration of the crate once it starts moving, you would subtract the kinetic friction force from the applied force and then divide by the crate's mass, according to Newton's second law (F = ma).
For example, consider the question (a) What is the maximum force you can exert horizontally on a 120-kg wooden crate without moving it? The answer would be the product of the coefficient of static friction and the normal force, which equals the weight of the crate. If given (for example, μ=0.5), the calculation would be 588 N. For part (b), if the creates starts to slip, we then use Newton's second law to determine the magnitude of the crate's acceleration, which would be the net force divided by the crate's mass, resulting in an acceleration of 1.96 m/s².
Alice and Marge are studying the properties of matter. The girls placed some an iron nail in a beaker containing water. Iron is a solid metal at room temperature. Iron is a shiny and malleable; it can be formed into shapes like the nails the girls used. Iron will turn reddish-brown in the presence of air or water as it rusts. Iron is a good conductor of electricity and heat. After 48 hours, the girls checked the nail in the water and compared it to the nail they left on the lab bench. Based on the girls' experiment, what is a chemical property of iron?
A) Iron is malleable. B) Iron rusts in water. C) Iron is a strong metal. D) Iron is a good conductor.
Answer: B) Iron rusts in water.
Explanation:
Physical property is defined as the property of a substance which becomes evident during physical changes. Example: Melting point , electrical conductivity, malleability,
Chemical property is defined as the property of a substance which becomes evident during chemical changes. Example: Reactivity with other substances
Rust is hydrated ferric oxide [tex](Fe_2O_3.xH_2O[/tex].
[tex]Fe\rightarrow Fe^{2+}+2e^-[/tex]
Corrosion of iron is called as rusting. Rust is hydrated ferric oxide [tex](Fe_2O_3.xH_2O[/tex].
[tex]Fe\righatarrow Fe^{2+}+2e^-[/tex]
[tex]O_2+4H^++4e^-\rightarrow 2H_2O[/tex]
[tex]4Fe^{2+}+O_2+4H_2O\rightarrow 2Fe_2O_3+8H^+[/tex]
Thus rusting of iron is a chemical property.
Answer: B) Iron rusts in water.
Assuming atmospheric pressure to be 1.01 x 10^5 Pa and the density of sea water to be 1025 kg/m^3, what is the absolute pressure at a depth of 15.0 m below the surface of the ocean?
The absolute pressure at a depth of 15.0m below the surface of the ocean is 150975 Pa.
Explanation:To calculate the absolute pressure at a depth of 15.0m below the surface of the ocean, we need to consider the pressure due to the weight of the water column above that point.
The pressure due to the weight of a fluid is given by the equation P = ρgh, where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth.
Substituting the given values, we have P = (1025 kg/m3) × (9.8 m/s2) × (15.0m) = 150975 Pa.
Therefore, the absolute pressure at a depth of 15.0m below the surface of the ocean is 150975 Pa.
In a uranium fission reaction the uranium splits into 2 smaller atoms an energy. Where did the energy come from?
Which statement is true about the electromagnetic spectrum? The visible spectrum includes radio waves, light, and gamma rays. The colors you can see have the same wavelength. It has a range of visible and invisible forms of radiation. The waves travel at the speed of 2.998×105 meters/second.
Answer: It has a range of visible and invisible forms of radiation.
Explanation:
Electromagnetic wave is defined as the wave which is associated with both electrical and magnetic component associated with them. They can travel in vacuum as well and travel with the speed of light i.e [tex]2.998\times 10^8ms^{-1}[/tex]
The electromagnetic radiations consist of radio waves, microwaves, infrared ,Visible , ultraviolet, X rays and gamma rays arranged in order of increasing frequency and decreasing wavelengths.
Only visible light is visible to naked eyes.
The relationship between wavelength and frequency of the wave follows the equation:
[tex]\nu=\frac{c}{\lambda}[/tex]
where,
[tex]\nu[/tex] = frequency of the wave
c = speed of light
[tex]\lambda [/tex] = wavelength of the wave
From the above relation, it is visible that wavelength and frequency follow inverse relation. For increase in wavelength, the value of frequency decreases and vice-versa.
Isabel’s first car had a manual stick shift. After many years of driving an automatic car, she needs to use her sister’s car, which also has a stick shift. Isabel takes a few minutes to get used to shifting gears. Which memory system is she using to recall this information?
Final answer:
Isabel is using her implicit procedural memory, a form of long-term memory responsible for automatic skills, to recall how to use a manual stick shift after primarily driving an automatic car.
Explanation:
Isabel is utilizing her implicit procedural memory to recall how to shift gears in a stick shift car after having driven an automatic vehicle for many years. Procedural memory is a form of long-term memory that enables people to perform tasks without conscious awareness of the learned skills, such as riding a bike, typing on a keyboard, or driving. In this case, Isabel's ability to revert to using a manual stick shift despite the extended use of an automatic car illustrates the durability and automaticity of procedural memory.
You are in a hot air balloon (yes, another balloon problem!) rising from the ground at a constant velocity of 2.00 m/s upward. to celebrate the takeoff, you open a bottle of champagne, expelling the cork with a horizontal velocity of 6.60 m/s relative to the balloon. when opened, the bottle is 5.90 m above the ground. what is the initial speed of the cork, as seen by your friend on the ground?
If a ball is given an initial speed of 15 m/s on a horizontal, frictionless surface, how fast will the ball be rolling in 5 seconds?
Answer:
15 m/s
Explanation:
what is the gravitational potential energy of a 150 kg object suspended 5m above the Earth's surface
The gravitational potential energy of the object is 7350 J.
Explanation:The gravitational potential energy of an object suspended above the Earth's surface can be calculated using the equation:
PE = mgh
where PE is the gravitational potential energy, m is the mass of the object, g is the acceleration due to gravity (approximately 9.8 m/s²), and h is the height above the Earth's surface.
In this case, the mass of the object is 150 kg and the height is 5 m. Plugging these values into the equation:
PE = 150 kg * 9.8 m/s² * 5 m = 7350 J
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A car with mass m traveling at speed v has kinetic energy k. what is the kinetic energy of a second car that has the same mass m and twice the speed of the first car? k 1.4 k 2 k 4 k
Answer:
the kinetic energy of the second car would be D. 4k
Explanation:
took the test
Which of the following is a useful tool in determining the genotype and phenotype of an organism?
Fossil Record
Punnett Square
Roots
Perfect Square
A child bounces a 56 g superball on the sidewalk. the velocity change of the superball is from 20 m/s downward to 13 m/s upward. if the contact time with the sidewalk is 1 800 s, what is the magnitude of the average force exerted on the superball by the sidewalk? answer in units of n.
Maglev trains, like the one shown in the picture, use magnet fields to travel up to 600 miles per hour. Magnets on the bottom of the train and on the tops of the rails have similar magnetic poles. Based on properties of magnets, how do these magnets affect the train?
A)The two magnetic fields repel each other, causing the train to levitate, or hover, above the rails.
B)The powerful magnets greatly reduce the force of gravity, resulting in less friction and greater speed.
C)The train is able to stop immediately because the magnets on the rails attract the magnets on the train.
D)Maglev trains have extremely powerful magnets, greatly decreasing the force of gravity and allowing them to float.
Answer:
Its C
Explanation:
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Eddie the eagle, british olympic ski jumper, is attempting his most mediocre jump yet. after leaving the end of the ski ramp, he lands downhill at a point that is displaced 72.1 m horizontally from the edge of the ramp. his velocity just before landing is 33.0 m/s and points in a direction 30.0$^\circ$ below the horizontal. neglect any effects due to air resistance or lift. what was the magnitude of eddie's initial velocity as he left the ramp?
Eddie's initial velocity as he left the ramp is calculated as 28.61 m/s
Explanation:This physics problem involves two-dimensional motion or projectile motion. We can solve it by using the principles of conservation of energy and kinematics. The final horizontal velocity (vxf) can be calculated using the final velocity (v) and the angle (θ) below the horizontal through the formula vxf = v * cos(θ), which in this case gives us 33 * cos(30°) = 28.6 m/s. Since there's no horizontal acceleration involved in Eddie's jump, the initial horizontal velocity (vxi) equals the final horizontal velocity (vxf), hence vxi = 28.6 m/s.
Now, we can use the horizontal displacement (Δx) and vxi to calculate the total time of flight using the formula Δx = vxi * t, so the time of flight (t) = Δx / vxi = 72.1 m / 28.6 m/s = 2.52 s. Finally, using the time of flight, final vertical velocity (vyf), and the acceleration due to gravity (g), we can find the initial vertical velocity (vyi) using the formula vyf = vyi + g * t. Substituting the given values, we get - 33 * sin(30) = vyi - 9.8 * 2.52, which gives us vyi = -1.1 m/s.
As the last step, we find the magnitude of the initial velocity from the resultant of its vertical and horizontal components using the Pythagorean theorem: vi = sqrt[(vxi^2) + (vyi^2)], which comes out to be sqrt[(28.6^2) + (-1.1^2)] = 28.61 m/s.
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It takes a person one half hour to run 6 kilometers at a constant rate along a straight-line path. What is the velocity of the person?
A spaceship orbiting earth flies to the moon. How is the gravitational force pulling on the spaceship related to the distance that the spaceship is from the earth?
Question 25 options:
The gravitational pull of the earth is constant and therefore the gravitational pull on would not change.
As the distance from the earth decreases, the gravitational pull on the spaceship would decrease.
There is no gravity on the moon and therefore only the earth will exert gravitational force on the spaceship.
As the distance from the earth increases, the gravitational pull on the spaceship would decrease.
When the metallic body of a car is moved into a painting chamber, a mist of electrically neutral paint is sprayed around the car. when the car is given a sudden electric charge, the mist is attracted to it, and the car is quickly and uniformly painted. what does the phenomenon of polarization have to do with this?
Polarization is the phenomenon that allows electrically neutral paint particles to be attracted to a charged car's surface during the painting process.
Explanation:The phenomenon of polarization is related to the process of car painting in a few ways. When the metallic body of the car is moved into the painting chamber, the paint is sprayed as a mist of electrically neutral particles. However, when the car is given a sudden electric charge, the mist of paint particles becomes polarized, meaning they acquire positive or negative charges.
The electric charge on the car creates an electric field around it, and the polarized paint particles are attracted to the opposite charge on the car. This attraction causes the paint particles to quickly and uniformly coat the car's surface.
Overall, polarization allows the electrically neutral paint mist to be attracted to the charged car, resulting in efficient and uniform painting.
A gas in a cylinder with a moveable piston has an initial volume of 89.2 ml . if we heat the gas from 35 âc to 153 âc, what is its final volume (in ml)? express the volume to three significant figures and include the appropriate units.