The bulb will light up when the capacitor discharges, but the brightness will continually decrease and the bulb will go out once the capacitor is fully discharged.
Explanation:In circuits containing capacitors, when the capacitor is fully charged, it starts the process of discharging. During the process of discharging, the capacitor transfers its stored energy which can light up a bulb. So, yes, theoretically, a bulb can light up during the time the capacitor discharges. However, the brightness of the bulb will diminish over time, as the energy stored in the capacitor decreases during a discharging process, resulting in a decreasing current in the circuit.
For example, imagine we have a simple circuit with a bulb, a resistor, and a discharging capacitor. At the start of the discharge process, when the capacitor holds the maximum charge, the bulb will shine the brightest. As the capacitor discharges, the current in the circuit will decrease, therefore the brightness of the bulb will also decline. When the capacitor is fully discharged, the current will be zero and therefore the bulb will not light up anymore.
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Final answer:
The bulb in a circuit with a discharging capacitor will remain lit as long as there is sufficient current flowing through it. The duration depends on the circuit's time constant and the bulb's required current to produce light. The stored energy of the battery and bulb's power consumption determine how long the bulbs will stay lit.
Explanation:
The question pertains to the discharge of a capacitor in a simple electrical circuit and whether a bulb connected to this circuit will remain lit throughout the discharge process. When a charged capacitor starts to discharge through a bulb (or any resistive load), the bulb will light up. As the capacitor discharges, the voltage across it decreases, which in turn causes the current through the bulb to decrease. The bulb will stay lit as long as there is sufficient current flowing through it to produce light. The duration for which the bulb stays lit will be influenced by the effective resistance of the circuit and the capacitance value.
For more complex circuits, such as one with a neon lamp, the bulb will light up when the capacitor discharges through the lamp. However, once the capacitor's voltage drops below the lamp's 'strike voltage', the lamp will turn off, and the capacitor may continue to discharge without producing light. Hence, the bulb does not necessarily stay lit for the entire duration of the capacitor's discharge. Instead, it stays lit until the voltage and current are too low to sustain illumination.
If a battery has a total stored energy of 800 W hr and it produces a constant potential difference until discharged, to determine how long the bulbs will stay lit, one would need to know the power consumption of the bulbs and the system voltage. This would allow for the calculation of the discharge time using the relationship between power, energy, and time.
Dr Spock would have supported which of the following actions by parents
According to Dr. Spock's child-rearing philosophies, parents ought to respect and foster children's individuality and decision-making skills. Therefore, he would likely endorse parental actions such as allowing the 2-year-old to pick her clothes, letting the infant explore her surroundings, and supporting the 18-year-old's life choices.
Explanation:Dr. Spock, well-known pediatrician and author, strongly believed in the importance of recognizing a child's individuality and fostering independence. Hence, he would likely endorse the parents' actions in C. Your two-year-old daughter refuses to wear the clothes you pick for her every morning, which makes getting dressed a twenty-minute battle. Spock would perceive this as the child developing personal decision-making skills. He would also support A. Your infant daughter puts everything in her mouth, including the dog's food.
For him, exploring the environment plays a crucial role in a child's early development. However, he would suggest that parents keep a close eye on their child to ensure safety. Finally, he might approve of E. Your 18-year-old daughter has decided not to go to college. Instead she's moving to Colorado to become a ski instructor, recognizing it as the young adult exercising her rights to make life choices.
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Which kind of road surface is easier to see when driving at night, a pebbled uneven surface or a mirror smooth surface?
"The correct answer is a pebbled uneven surface is easier to see when driving at night.
When driving at night, visibility of the road surface is influenced by the way light interacts with the surface. A pebbled uneven surface has a texture that scatters light in many directions, including back towards the driver. This scattering effect increases the visibility of the road surface, as the driver's eyes can detect the variations in light intensity caused by the uneven texture.
On the other hand, a mirror smooth surface tends to reflect light specularly, meaning that the light is reflected at the same angle as the incoming light. This results in the light being directed away from the driver's eyes, making the surface appear darker and less visible. Additionally, smooth surfaces can create glare when wet, further reducing visibility.
Therefore, the texture of a pebbled uneven surface makes it more visible at night compared to a mirror smooth surface, which can be more challenging to see due to its specular reflection properties. This is why textured road surfaces are often preferred for nighttime driving conditions."
A low-pass first-order instrument has a time constant of 20 ms. find the frequency, in hertz, of the input at which the output will be 93% of the dc output.
A force applied to an object causes the object to accelerate at 2 m/s^2. suppose another object with twice the mass is applied twice the force. the acceleration of this second object is
The following represents a process used to assemble a chair with an upholstered seat. stationsa, b, and c make the seat; stations j, k, and l assemble the chair frame; station x is wherethe two subassemblies are brought together; and some fi nal tasks are completed in stations yand z. one worker is assigned to each of the stations. generally, no inventory is kept anywherein the system, although there is room for one unit between each of the stations that might beused for a brief amount of time.bcakljx y zgiven the following amount of work in seconds required at each station:a 38 j 32 x 22b4. the following represents a process used to assemble a chair with an upholstered seat. stationsa, b, and c make the seat; stations j, k, and l assemble the chair frame; station x is wherethe two subassemblies are brought together; and some fi nal tasks are completed in stations yand z. one worker is assigned to each of the stations. generally, no inventory is kept anywherein the system, although the
The question describes a production line procedure used in assembling a chair. Each station has unique tasks and time requirements. This process emphasizes the importance of workload balancing for efficient production in manufacturing environments like furniture making.
Explanation:The question lays out a process for assembling a chair with an upholstered seat, involving several stations, a, b, c, j, k, l, x, y, z. Each of these stations represents a different part of the process and requires varying amounts of time. Station a, b, and c are responsible for making the seat of the chair which then moves to station j, k, and l for the frame assembly. The two subassemblies are brought together at station x and the final modifications and quality checks are done at stations y and z.
This process highlights the concept of a production line or assembly line, in which each workstation contributes one part of the overall manufacturing process. Efforts are made to balance the workload across different stations, to ensure efficient, continuous production with minimal inventory. Understanding this process is vital for improved productivity and profitability in business environments that produce physical goods, such as furniture making.
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The question discusses the assembly line production process used to assemble a chair with an upholstered seat, detailing the tasks performed at different stations and the amount of work required at each station.
Explanation:The given question is related to the assembly line production process used to assemble a chair with an upholstered seat. It involves different stations where workers perform specific tasks. The seat is made at stations A, B, and C, the chair frame is assembled at stations J, K, and L, the two subassemblies are brought together at station X, and final tasks are completed at stations Y and Z.
Each station has one worker assigned to it, and generally, no inventory is kept in the system. The amount of work required at each station, measured in seconds, is as follows: A - 38 seconds, B - 4 seconds, C - 15 seconds, J - 32 seconds, K - 8 seconds, L - 18 seconds, X - 22 seconds, Y - unknown, Z - unknown.
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One property of an electron is Question 1 options: a net charge of 0. a charge of +1. a charge of -1. an atomic mass of -1.
In the United States, most of our energy comes from this non–renewable resource, which has a negative effect on the environment.
coal
nuclear
natural gas
petroleum
#NED ANSWER ASAP!
Answer:
the answer is natural gass
Explanation:
A 4 cm diameter ball is located 40 cm from a point source and 80 cm from a wall. What is the size of the shadow on the wall?
Final answer:
To find the size of the shadow on the wall, set up a proportion using similar triangles.
Explanation:
To find the size of the shadow on the wall, we need to use similar triangles. The diameter of the ball is 4 cm, so its radius is 2 cm. Since the ball is located 40 cm from the point source, its distance from the wall is 80 cm. We can set up a proportion:
Ball diameter / Ball-wall distance = Shadow size / Shadow-wall distance:
4 cm / 80 cm = Shadow size / Shadow-wall distance
Using cross multiplication, we can solve for the shadow size:
Shadow size = (4 cm / 80 cm) × Shadow-wall distance
Therefore, the size of the shadow on the wall depends on the distance between the ball and the wall.
A calculus book weighing 20 N rests on the floor of a classroom. The reaction to the force of the floor on the book is a force of
Suppose you measure a standing person's blood pressure by placing the cuff on his leg 0.560 m below the heart. calculate the pressures you would observe (in units of mm hg) if the pressure at the heart were 119 over 80 mm hg. assume there is no loss of pressure due to resistance in the circulatory system (a reasonable assumption, since major arteries are large).
The first pressure describes the illustration of the extreme output of the heart; the second is because of the elasticity of the arteries in maintaining the pressure between beats.
Solution:
760 mm HG is equivalent to 13.6*.760 m =10.34 m H2O
Then multiply: 560/10.34 * 760mmHg to each of the readings. The answer is about
41 mmHg add this to the current reading of 120/80
Therefore: ΔP = 41 mm Hg, Leg blood pressure is 160/121.
Answer:
162.63 mm hg over 123.63 mm hg
Explanation:
The total pressure is equivalent to the addition of the heart pressure and pressure due to blood flow (ρ*g*h). Mathematically, we have:
[tex]P_{T} = P_{H} + P_{B}[/tex]
[tex]P_{T}[/tex] is the total pressure, [tex]P_{H}[/tex] is the pressure at the heart, and [tex]P_{B}[/tex] is the pressure due to blood flow in his leg.
[tex]P_{B}[/tex] = blood density*height*9.81
The density of human blood is approximately 1060 kg/m^3
[tex]P_{B}[/tex] = 1060*0.56*9.8 = 5817.28 pascal
We need to convert pressure from pascal to mm hg by multiplying by 0.0075
5817.28 pascal = 43.63 mm hg
Thus, the total pressure will be:
(119+43.63) mm hg over (80+43.63) mm hg = 162.63 mm hg over 123.63 mm hg
(b) suppose two telephone poles are 40 ft apart and the length of the wire between the poles is 41 ft. if the lowest point of the wire must be 19 ft above the ground, how high up on each pole should the wire be attached? (round your answer to two decimal places.)
Final answer:
To find the heights at which the wire should be attached to each pole, we can use the concept of similar triangles. By setting up an equation involving the height of one pole and the height difference between the poles, we can solve for the heights. The wire should be attached to the first pole at a height of approximately 39.64 ft and to the second pole at a height of approximately 0.36 ft.
Explanation:
To determine the heights at which the wire should be attached to each pole, we can use the concept of similar triangles. Let's call the height at which the wire is attached to the first pole h1, and the height at which it is attached to the second pole h2.
Since the lowest point of the wire is 19 ft above the ground, and the poles are 40 ft apart, we can use the Pythagorean theorem to find the length of the vertical leg of the right triangle formed by the wire and the ground. This will be the difference between the heights of the two poles:
|h1 - h2| = sqrt(41^2 - 19^2)
We know that the wire is 40 ft above the ground at its highest point. So if we subtract the height at which it is attached to one pole from 40 ft, we can find the height at which it is attached to the other pole:
h2 = 40 - h1
By substituting this expression for h2 into the equation |h1 - h2| = sqrt(41^2 - 19^2), we can solve for h1:
|h1 - (40 - h1)| = sqrt(41^2 - 19^2)
Simplifying further, we get:
2h1 - 40 = sqrt(41^2 - 19^2)
Adding 40 to both sides of the equation:
2h1 = 40 + sqrt(41^2 - 19^2)
Finally, dividing both sides by 2, we find:
h1 = (40 + sqrt(41^2 - 19^2))/2
By plugging in the values and performing the calculations, we find that h1 ≈ 39.64 ft and h2 ≈ 0.36 ft.
A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. f(t) = 0.01t4 − 0.02t3 (a) find the velocity at time t (in ft/s). v(t) = (b) what is the velocity after 1 second(s)? v(1) = ft/s (c) when is the particle at rest? t = s (smaller value) t = s (larger value)
A coil of wire that carries an electric current is a(n) _______.
Solenoid
A coil of wire that carries an electric current is a solenoid
Explanation;Solenoid refers to the coil of a wire that is used as an electromagnet. Solenoid creates magnetic field from electric current and uses the magnetic field to generate motion. The magnetic field generated by a solenoid may be controlled by varying the amount of electric current in the circuit. Electromagnet are types of magnets whose strength can be varied using various variation in a solenoid such as the amount of electric current and also the number of coils in the solenoid.A yo-yo falls through a distance of 0.60 m as its string unwinds. if it starts from rest, what is its speed? (model the yo-yo as a solid disc.) m/s
What tangential speed, v, must the bob have so that it moves in a horizontal circle with the string always making an angle θ from the vertical? express your answer in terms of some or all of the variables m, l, and θ, as well as the acceleration due to gravity g?
The bob must have tangential speed v = √ ( g L sin θ tan θ )
[tex]\texttt{ }[/tex]
Further explanationAngular Speed can be formulated as follows:
[tex]\boxed {\omega = \frac{ v }{ R }}[/tex]
ω = Angular Speed ( rad/s² )
v = Tangential Speed of Particle ( m/s )
R = Radius of Circular Motion ( m )
[tex]\texttt{ }[/tex]
Linear Speed can be formulated as follows:
[tex]\boxed {v = \frac{ 2 \pi R }{ T }}[/tex]
T = Period of Circular Motion ( s )
v = Tangential Speed of Particle ( m/s )
R = Radius of Circular Motion ( m )
Let us now tackle the problem !
[tex]\texttt{ }[/tex]
Given:
length of string = L
mass of bob = m
acceleration due to gravity = g
angle of string from the vertical = θ
Asked:
tangential speed = v = ?
Solution:
[tex]\Sigma F_y = T_y - mg[/tex]
[tex]0 = T\cos \theta - mg[/tex]
[tex]T \cos \theta = mg[/tex]
[tex]\boxed {T = mg \div \cos \theta}[/tex] → Equation 1
[tex]\texttt{ }[/tex]
[tex]\Sigma F_x = ma[/tex]
[tex]T_x = m \frac{v^2}{R}[/tex]
[tex]T \sin \theta = m \frac{v^2}{R}[/tex]
[tex]( mg \div \cos \theta ) \sin \theta = m \frac{v^2}{ L \sin \theta }[/tex] ← Equation 1
[tex]g \tan \theta = \frac{v^2}{L \sin \theta}[/tex]
[tex]v^2 = gL \tan \theta \sin \theta[/tex]
[tex]\boxed {v = \sqrt { gL \tan \theta \sin \theta } }[/tex]
[tex]\texttt{ }[/tex]
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Answer detailsGrade: High School
Subject: Physics
Chapter: Circular Motion
A gas contained in a piston has a pressure of 100 torr and a volume of 1.0 l determine the pressure of the gas if it is compressed to a volume of 0.75 l"
A car starts from xi = 19m at ti = 0 and moves with the velocity graph shown in figure below. What is the objects position and t=2s, t=3s, and t=4s?
Justin, with a mass of 30 g, is going down a 8.0 m high water slide. he starts at rest, and his speed at the bottom is 11 m/s. how much thermal energy is created by friction during his descent
Final answer:
The amount of thermal energy created by friction during Justin's descent is 0.537 J.
Explanation:
To calculate the thermal energy created by friction during Justin's descent, we need to find the change in mechanical energy. The mechanical energy at the top consists of gravitational potential energy and kinetic energy. At the bottom, it consists of only kinetic energy. Since there is no change in the height, the change in mechanical energy is equal to the work done by friction, which can be calculated using the equation:
Work = Change in mechanical energy = Kinetic energy at the bottom - Gravitational potential energy at the top
First, we need to calculate the gravitational potential energy at the top:
Gravitational potential energy (PE) = mass * gravity * height
Substituting the given values:
PE = 0.03 kg * 9.8 m/s² * 8.0 m = 2.352 J
Next, we need to calculate the kinetic energy at the bottom:
Kinetic energy (KE) = 0.5 * mass * velocity²
Substituting the given values:
KE = 0.5 * 0.03 kg * (11 m/s)² = 1.815 J
Now we can calculate the work done by friction:
Work = KE - PE = 1.815 J - 2.352 J = -0.537 J
Since work is a scalar quantity with no direction, the negative sign indicates that the work is done by friction rather than by the object. Therefore, the amount of thermal energy created by friction during Justin's descent is 0.537 J.
The angular momentum of a freely rotating disk around its center is ldisk. you toss a heavy block horizontally onto the disk along the direction shown. friction acts between the disk and the block so that eventually the block is at rest on the disk and rotates with it. we will choose the initial angular momentum of the disk to be positive. 1) what is the total, the magnitude of the angular momentum of the disk-block system
In a system unaffected by external torques, such as the proposed block-disk system, the overall angular momentum is conserved. As such, even after the block lands on the disk and eventually reaches a standstill due to friction, the system’s total angular momentum remains the same, equal to the initial disk's angular momentum, ldisk.
Explanation:The angular momentum of a system, such as the disk-block system described, is preserved when there are no external torques. Initially, the disk's angular momentum is designated as ldisk while the block has none. As the block interacts with the disk due to friction, it gains some angular momentum while causing the disk to lose some. However, the net angular momentum of the system doesn't shift. It remains equivalent to the initial angular momentum of the disk, ldisk.
Angular momentum conservation can be observed in diverse systems including in this scenario. When not influenced by external torques, the overall angular momentum of a system stays constant. This is mirrored in the disk-block scenario: even after the block is at rest on the disk due to friction, the entire system's angular momentum remains the same, as ldisk.
Instances of angular momentum conservation are prevalent in our world, from celestial bodies in rotation and orbit to everyday experiences like a spinning bicycle wheel. The basic principle is that in the absence of external torques, the total angular momentum of a system stays conserved.
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The total angular momentum of a disk-block system, where the block is at rest on a freely rotating disk with initial angular momentum ldisk, remains as ldisk due to the conservation of angular momentum as there are no external torques acting on the system.
Explanation:The angular momentum of a system, such as a freely rotating disk moving in a direction parallel to its plane, remains constant when there are no external torques acting on the system. This principle is what is known as the conservation of angular momentum.
When a block is tossed onto the disk and becomes stationary on it, friction between the disk and the block causes them to eventually move together. This system consisting of the disk and the block maintains its total angular momentum. Thus, if the initial angular momentum of the disk was ldisk, and there's no external torque acting on the system, the total angular momentum of the disk-block system remains as ldisk even after the block is tossed onto the disk since angular momentum is conserved.
It's important to understand that the initial angular momentum of the freely rotating disk is not affected by adding the block because there are no external torques changing the system's total angular momentum. This means the magnitude of the total angular momentum of the disk-block system remains equal to ldisk which is the initial angular momentum of the disk.
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The following forces act on an object: 20 N north, 40 N south, and 40 N west. What is the magnitude of the net force?
The north and south forces first cancel each other out, leaving a net force of 20 N towards the south. Adding this to the westward force of 40 N using the Pythagorean theorem results in a net force of 44.7 N.
Explanation:The forces acting on the object in this problem are 20 N north, 40 N south, and 40 N west. When combining these forces, we consider that the forces act in different directions, and so the north-south forces will cancel each other out to some extent. The net north-south force is 40 N south minus 20 N north, resulting in a 20 N force towards south. The westward force is 40 N, and the net force of the object can be calculated using the Pythagorean Theorem:
Net Force = √ [ (20 N)² + (40 N)² ] = √ [ 400 + 1600] = √ [ 2000 ] = 44.7 N
Thus, the magnitude of the net force on the object is 44.7 N.
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Suppose you are holding a basketball while standing still on a skateboard. You and the skateboard have a mass of 50kg. You throw the basketball with a force of 10N. What is your acceleration before and after you throw the ball?
Answer:
Acceleration after throwing is 0.2m/s²
Acceleration before throwing is 0 m/s² since the force is zero
Explanation:
By Newtons third law we have force applied by ball on person = 10 N
Mass of person plus skateboard = 50 kg
We also know the equation
Force, F = mass x acceleration
F = ma
Here F = 10 N
m = 50 kg
Substituting,
10 = 50 x a
[tex]a=\frac{10}{50}=\frac{1}{5}=0.2m/s^2[/tex]
Acceleration after throwing is 0.2m/s²
Acceleration before throwing is 0 m/s² since the force is zero
How does a rubber rod become negatively charged through friction?
Answer:Explained
Explanation:
When a rubber rod is rubbed against, let's say animal fur the electrons from the animal is being transferred to rubber rod as rubber rod has greater attraction for electron i.e. rubber rod has higher electron negativity .That's why it become negatively charged.
A good quarterback can throw a football at 27 m/s (about 60 mph ). How long is the ball in the air?
The ball is in the air for about 5.5 seconds when it is thrown vertically up.
Further explanationAcceleration is rate of change of velocity.
[tex]\large {\boxed {a = \frac{v - u}{t} } }[/tex]
[tex]\large {\boxed {d = \frac{v + u}{2}~t } }[/tex]
a = acceleration ( m/s² )
v = final velocity ( m/s )
u = initial velocity ( m/s )
t = time taken ( s )
d = distance ( m )
Let us now tackle the problem!
This problem is about Projectile Motion
Given:
initial speed = u = 27 m/s
Unknown:
time interval of the ball in the air = t = ?
Solution:
[tex]h = u \sin \theta ~t - \frac{1}{2}gt^2[/tex]
[tex]0 = u \sin \theta ~t - \frac{1}{2}gt^2[/tex]
[tex]u \sin \theta ~ t = \frac{1}{2}gt^2[/tex]
[tex]u \sin \theta = \frac{1}{2}gt[/tex]
[tex]t = \boxed {\frac{ 2u \sin \theta }{g}}[/tex]
If the angle of projection = θ = 90° , then :
[tex]t = \boxed {\frac{ 2(27) \sin 90^o }{9.8}}[/tex]
[tex]t \approx 5.5 ~ seconds[/tex]
If the angle of projection = θ = 45° , then :
[tex]t = \boxed {\frac{ 2(27) \sin 45^o }{9.8}}[/tex]
[tex]t \approx 3.9 ~ seconds[/tex]
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Subject: Physics
Chapter: Kinematics
Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle
A solid round bar with diameter of 2-in has a groove cut to a diameter of 1.8-in, with a groove radius of 0.1-in. the bar is not rotating. the bar is loaded with a repeated bending load that causes the bending moment at the groove to fluctuate between 0 and 25000 lbf-in. the bar is hot-rolled aisi 1095, but the groove has been machined. determine the factor of safety for fatigue based on infinite life (use the asme elliptical criteria) and the factor of safety for yielding.
A car traveling 92 km/h is 130 m behind a truck traveling 75 km/h. how long will it take the car to reach the truck?
The car will catch up to the truck in approximately 0.459 minutes, or about 27.54 seconds, by traveling at a relative speed of 17 km/h faster than the truck.
To determine how long it will take for the car traveling at 92 km/h to reach the truck traveling at 75 km/h, we need to calculate the relative speed between the two vehicles and then use that information to find out how long it takes to cover the distance between them.
Step 1: Calculate Relative Speed
The car's speed is 92 km/h and the truck's speed is 75 km/h. To find the relative speed, we subtract the slower speed (truck) from the faster speed (car):
92 km/h - 75 km/h = 17 km/h
Step 2: Calculate Time to Cover the Distance
Now that we have the relative speed, we can calculate the time it will take for the car to cover the 130 meters (0.130 kilometers) separating it from the truck.
Time = Distance / Speed
Time = 0.130 km / 17 km/h
Time = 0.00765 hours
Converting 0.00765 hours into minutes (as there are 60 minutes in an hour) gives us:
Time = 0.00765 hours x 60 minutes/hour = 0.459 minutes
Thus, it will take approximately 0.459 minutes, or about 27.54 seconds, for the car to reach the truck.
Why does a black asphalt road becomes hotter than a white cement sidewalk in the same amount of sunlight?
How does viscosity determine what type of eruption you will get out of a volcano?
A cheetah spots a thomson's gazelle, its preferred prey, and leaps into action, quickly accelerating to its top speed of 30 m/s, the highest of any land animal. however, a cheetah can maintain this extreme speed for only 15 s before having to let up. the cheetah is 170 m from the gazelle as it reaches top speed, and the gazelle sees the cheetah at just this instant. with negligible reaction time, the gazelle heads directly away from the cheetah, accelerating at 4.6 m/s2 for 5.0 s, then running at constant speed. does the gazelle escape? if so, by what distance is the gazelle in front when the cheetah gives up?
The gazelle escapes the cheetah by 7.5 meters. This is calculated by determining the distance the cheetah and gazelle each cover in the given time. The gazelle's distance includes both the acceleration phase and the constant speed phase.
Explanation:To determine if the gazelle escapes from the cheetah, we need to calculate the distance both the gazelle and the cheetah cover separately within the same time frame. The cheetah can maintain its top speed of 30 m/s for only 15 seconds. Therefore, the total distance covered by the cheetah while it's at top speed is given by:
Distance covered by the cheetah = speed × time = 30 m/s × 15 s = 450 m
The gazelle starts accelerating at 4.6 m/s2 for 5.0 seconds. The distance covered by the gazelle during acceleration can be calculated using the equation:
Distance = 0.5 × acceleration × time2 = 0.5 × 4.6 m/s2 × (5.0 s)2 = 57.5 m
After 5 seconds of acceleration, the gazelle will be running at a constant speed, which we can find using the formula:
Final velocity = initial velocity + (acceleration × time) = 0 + (4.6 m/s2 × 5.0 s) = 23 m/s
For the remaining 10 seconds (since the cheetah runs at top speed for 15 seconds and the gazelle has already spent 5 seconds accelerating), the gazelle travels at this constant speed, covering:
Distance at constant speed = speed × time = 23 m/s × 10 s = 230 m
The total distance covered by the gazelle is the sum of the distance covered during acceleration and the distance covered at constant speed:
Total distance covered by gazelle = 57.5 m + 230 m = 287.5 m
Now we need to add the initial distance between the gazelle and the cheetah to the distance covered by the gazelle, to find out how far the gazelle is when the cheetah stops:
Total distance from cheetah = initial distance + distance covered by gazelle = 170 m + 287.5 m = 457.5 m
Since the cheetah covers only 450 m and the gazelle is 457.5 m away from the cheetah's starting point, the gazelle escapes, and the distance by which it's in front when the cheetah gives up is:
Escape distance = total distance from cheetah - distance covered by cheetah = 457.5 m - 450 m = 7.5 m
Therefore, the gazelle escapes the cheetah by 7.5 meters.
Complete the sentence with the word "element" or "compound." O is a(n) and H2O2 is a(n) .
Answer:
O is an element, And H2O2 is an compound
Explanation:
Answer:
the other person is correct
Explanation:
If an object is traveling east with a decreasing speed, the direction of the objects acceleration is?
If an object is traveling east and slowing down, its acceleration is westward or negative when east is considered positive. This negative acceleration is indicative of deceleration.
Explanation:If an object is traveling east with a decreasing speed, the direction of the object's acceleration is to the west. Acceleration is defined as the rate of change of velocity. If an object is slowing down, its acceleration is in the opposite direction of its velocity. When we consider east as the positive direction, and the object is moving east but slowing down, it means the object has a negative acceleration because it is accelerating toward the west. This is often referred to as deceleration. A real-world example could be an airplane landing on an eastward facing runway; as it comes to a stop, it experiences negative acceleration.