at the time a cup of chili is served, its temperature is 170 degrees fahrenheit. the chili's temperature is modeled by the function c, where c(t) is measured in degrees fahrenheit and t is measured in minutes. the rate at which the temperature of the chili is decreasing is given by c(t)
Answers
The rate at which the temperature of the chili is decreasing is given by
c(t)=[tex]22e^{-0.05t^{2} }[/tex] is 77.267⁰ F.
What do you mean by rate of change of temperature?The rate of change of temperature, also known as the temperature gradient, is a measure of how quickly the temperature of a system is changing at a given point in space and time. It is typically measured in units of degrees Celsius per second or degrees Fahrenheit per second. The temperature gradient is a vector quantity, with the direction of the gradient pointing in the direction of the greatest temperature change. The magnitude of the gradient is a measure of how quickly the temperature is changing in that direction. The rate of change of temperature can be positive, negative, or zero. A positive rate of change of temperature means that the temperature is increasing, a negative rate of change of temperature means that the temperature is decreasing
Rate of change of temperature over 0 [tex]\leq[/tex] t [tex]\leq[/tex] 5.
[tex]\int\limits^5_0 {c(t)} \, dt = 22\int\limits^5_0 {e^{0.05t^{2} } } \, dt[/tex]
using numerical integration we get value of
[tex]\int\limits^5_0 {e^{0.05t^{2} } } \, dt=3.51211\\\int\limits^5_0 {c(t)} \, dt= 22* 3.51211=77.26657= 77.267^{0} F[/tex]
To know more about temperature visit:
https://brainly.com/question/29133754
#SPJ4
Related Questions
A caterpillar climbs up a one-meter wall. For every 2 cm it climbs up, it slides down 1 cm. It takes 10 minutes for the caterpillar to climb to the top. What is the distance traveled? (Round the number to the nearest hundred.)
Answers
The distance travelled by Caterpillar will be 1.5 m as rounded to the nearest hundred.
Distance is a scalar quantity while Displacement is vector. Displacement is the distance and direction separating an object's ultimate position from its initial position. Distance is the overall length an object travels while in motion.
It makes one movement, reaching 2 cm, but then stops at 1 cm.
It makes two moves to reach 3 cm but stops at 2 cm.
This implies, for example, that a caterpillar climbing up 4 cm will also slide down a total of 2 cm, climbing up 10 cm will result in a total slide down of 5 cm, etc.
The caterpillar travels 3 cm in that interval because it descends 1 cm for every 2 cm it climbs up. We specify,
Distance (d) = 3 cm of distance traveled / 2cm of climbing up
Thus, the distance travelled by Caterpillar will be 1.5 m i .
Learn more about Distance and Displacement at
brainly.com/question/25986482
measure: place the planet at -4.00i au and set the velocity to -15.00j km/s (does not have to be exact). click play, and then click pause when the planet completes one orbit.
Answers
According to Kepler's final law, a planet's period (T), or the amount of time needed to complete an orbit, is inversely proportional to its orbital radius (a), or average distance from the Sun.
The planets' distance also has an impact on the cycle since the more away they are, the slower they move, interrupting the cycle. The number will be less the closer it is to the sun. Both the planet's present velocity (speed and direction) and its gravitational pull on the Sun define each planet's route around the Sun. As you explore planetary orbits in the Orbital Motion, you can adjust both of these variables. Here, the astronomical unit (AU), which is equivalent to the average Earth-Sun distance.
To learn more about distance click here https://brainly.com/question/29678788
#SPJ4
calculate the magnitude of the electric field at the origin due to the following distribution of charges q at x y a a q at a a q at a a and q at a a where a 1.35 10 7 c and a 6.15 cm
Answers
Then the magnitude of the electric field at the origin is:
|E| = √(4* (9.0*10^9 q)^2) = 1.8 * 10^9 q N/C
The magnitude of the electric field at the origin is directly proportional to the charge q.
What size is the electric field at the starting point?The electric field at a point due to a point charge is given by Coulomb's law as:E = k*q/r^2where q is the charge, E is the electric field, k is Coulomb's constant, equals 1/4, k is the Coulomb constant, and r is the separation between the point of the charge and the point where the electric field is being computed. In this case, we have four point charges at the positions (1.3510^-7, 1.3510^-7), (1.3510^-7, -1.3510^-7), (-1.3510^-7, 1.3510^-7) and (-1.3510^-7, -1.3510^-7) with charge q.The electric field at the origin (0,0) due to each charge can be calculated using Coulomb's law. Since the charges have the same magnitude q, the vector sum of the electric fields due to each charge at the origin is the sum of the individual electric fields.The magnitude of the electric field at the origin due to the charge distribution is:|E| = √(E1^2 + E2^2 + E3^2 + E4^2)where E1, E2, E3 and E4 are the electric fields at the origin due to each charge respectively.It should be noted that the given distance a is in cm but the equation for Coulomb's law uses meters so it should convert the distance to meter.The distance between each charge and the origin is:r = √((1.3510^-7)^2 + (1.3510^-7)^2) = 1.9 * 10^-7 mThe electric field due to each charge is:E = kq/r^2 = (1/4πε) * q / (1.910^-7)^2 = 9.0 * 10^9 q N/CThen the magnitude of the electric field at the origin is:|E| = √(4* (9.0*10^9 q)^2) = 1.8 * 10^9 q N/CThe magnitude of the electric field at the origin is directly proportional to the charge q, as we can see in the formula above.To learn more about magnitude refer:
brainly.com/question/24468862
#SPJ4
Macmillan Learning
The motion y(x, t) of a vibrating system is described by
y(x, t) = Aoe sin(kx - 2nft)
where x denotes a distance in meters and
denotes a time in seconds.
Denoting units with fractions using the "/" operator and units with products using the "*" operator, e.g., "1/kg" and "kg*s,"
what are the SI units of the quantity B?
what are the SI units of the quantity k?
what are the SI units of the quantity f?
units of ß:
units of k:
units of f:
Answers
When an object's location varies over time, it is said to be in motion. Motion is defined by the six variables displacement, distance, velocity, acceleration, time, and speed.
What exactly did you mean by "motion"?
Motion in physics changes over time depending on the location or orientation of a body. The action of travelling along a straight or curved line is known as translation. The term "rotation" refers to motion that changes the orientation of a body. The act or process of moving, or even the passage of a body from one point to another, is referred to as movement.
The act of moving one's body or any of its parts. 3. an intentional movement of the hand, gaze, etc.
To learn more about motion refer to :
brainly.com/question/28205978
#SPJ1
a formula one racecar is traveling around a proper racetrack that has banked turns. the banking helps the cars to maintain a faster speed through the turns. choose the best response about why these tracks are designed this way - note that if more than one is correct that later options give you the option to select more than one from a, b and c.
Answers
We looked at the fundamental ideas behind circular motion. Another of the race cars displayed at the start of the chapter is an example of an item moving in a circular path that must be accelerating. We established that the centrifugal acceleration, also known as centripetal acceleration
What does the term "centrifugal acceleration" refer to?To start, there is the actual gravitational acceleration, which is constantly pointing in the direction of the Earth's center and is of magnitude. Next, there is the alleged centrifugal acceleration. The direction of this acceleration, which is always directly away from the axis of rotation of the Earth, is normal.
What do centripetal & centrifugal acceleration mean?Centripetal force is really the portion of a force exerted on an item moving curvilinearly and is pointed in the direction of the axis od rotation or the center of curvature. The centrifugal force, that acts along the circle's radius and therefore is directed away of its center, is a fictitious force that moves in a circle.
To know more about centrifugal acceleration visit:
https://brainly.com/question/17065689
#SPJ4
Helpppppppppoopppppppppppppp
Answers
Answer:help
Explanation:i help
the expression indicates that under these specific conditions the work done on the particle depends on the magnitude of the force, the displacement of the particle, and the angle between the direction of the force and the direction of the displacement.
Answers
The magnitude of the force is directly related to the amount of work done; the greater the force, the greater the amount of work done on the particle.
The scalar or dot productMathematically, this is expressed as:Work = Force × Displacement × cos (θ),where θ is the angle between the force and the displacement.When a force is applied to a particle, the work done on the particle is determined by a combination of the magnitude of the force, the displacement of the particle, and the angle between the direction of the force and the direction of the displacement. The displacement is also directly related to the amount of work done; the greater the displacement, the greater the amount of work done on the particle. The angle between the direction of the force and the direction of the displacement is also related to the amount of work done; when the angle between the two is perpendicular, the amount of work done is maximised, while when the angle is parallel, the amount of work done is minimised. In conclusion, the amount of work done on a particle is determined by the magnitude of the force, the displacement of the particle, and the angle between the direction of the force and the direction of the displacement. The combination of these three factors must be taken into account when calculating the amount of work done on a particle.To learn more about the scalar or dot product refer to:
https://brainly.com/question/26550859
#SPJ4
In an experiment to determine the viscosity of some oil, a ball is dropped into the oil. The position of the ball is given by the formula y(t)=A+Bt+Ce-Dt, where y is given in m, and t is the time in s. At t=0, y(0)= 0.07 m, the y-component of the velocity is zero and the y-component of the acceleration is ay(0)= 0.025 m/s^2
. As t approaches infinity, the y-component of the velocity approaches v(y) = 0.55 m/s. What is the viscosity?
Answers
The viscosity of the solution i.e. the value of D in the equation is 0.045 [tex]kgm^{-1} s^{-1}[/tex] or 0.045 newton-second per square meter.
At time t = 0,
y(t) = A + Bt + C[tex]e^{-Dt}[/tex]
0.07 = A + C (as t = 0 and power of zero gives unity)
y component of v at t = 0 => [tex]\frac{dy}{dt}[/tex] = 0
=> 0 + B + (-D) C[tex]e^{-Dt}[/tex] = 0
=> B - CD = 0
=> B = CD (as t = 0 and power of zero gives unity)
y component of acceleration a at t = 0 => [tex]\frac{dv}{dt}[/tex] = 0.025
=> 0 - (-D)CD[tex]e^{-Dt}[/tex] = 0.025
=> C[tex]D^{2}[/tex] = 0.025 (as t = 0 and power of zero gives unity)
At time = ∞
y component of velocity v => 0 + B + (-D) C[tex]e^{-Dt}[/tex] = 0.55
=> B = 0.55 (as t = ∞ and power of ∞ gives 0)
Now, using B = 0.55, CD = 0.55
As C[tex]D^{2}[/tex] = 0.025 => 0.55 × [tex]D[/tex] = 0.025
=> [tex]D[/tex] = 25 / 550 = 0.045
Hence, the viscosity of the solution is 0.045 [tex]kgm^{-1} s^{-1}[/tex] or 0.045 newton-second per square meter.
Learn more about viscosity here:
https://brainly.com/question/2193315
#SPJ4
which of the following is not permitted as a means for identifying an equipment grounding conductor?
Answers
A Gray Insulation is never allowed as a means for identifying an equipment grounding conductor.
Which colors is not permitted to be used to identify a grounded conductor?Only in circuits with 50V or higher can a conductor with white insulation be used for the ungrounded conductor.
Cable Assembly: If the white conductor in a cable is permanently re-identified as the ungrounded conductor at each site where it is visible by labeling tape, painting, or other effective ways, it can be utilized for that purpose. Insulation must be identified, and identification must be around it in a color other than white, gray, or green.
If the white conductor is permanently re-identified at each site where it is visible to indicate its usage as an ungrounded conductor, it can be used to power single-pole, 3-way, and 4-way switch loops as well as passengers for 3-way and 4-way switching.
To learn more about gray insulation, refer:
https://brainly.com/question/24909989
#SPJ4
you have been asked to design an experiment to show whether spaghetti cooks faster with or without salt in the cooking water. which of the following is the variable being tested?
Answers
The quantity of water used, the type of spaghetti used, and the intervals at which the spaghetti is checked to see if it is finished.
Water becomes harder due to the presence of calcium, magnesium, and iron(II) ions, which prevents soap solution from creating a lather. Students examine the impact of several dissolved salts, which comprise a variety of cations and anions, on the production of lather in this experiment. After that, they try to determine which ions are impeding lathering.
The students can work in pairs or bigger groups to complete this as a class project.
The first step for the students is to label eight test tubes. Alternatively, they can individually conduct an investigation using three or four more test tubes and distilled water, as long as they include at least one sodium or potassium salt and one calcium or magnesium salt.
Learn more about Water here:
https://brainly.com/question/19920929
#SPJ4
which of the following is an example of something that undergoes acceleration while moving at constant speed? select all that apply
Answers
An object undergoing acceleration while moving at a constant speed, changes it's velocity keeping a constant speed but changes the direction of motion. Answer to the question is Option 2.
In mechanics, acceleration of a body is the rate of change of it's velocity with respect to time. Accelerations are vector quantities (in way that they have both magnitude and direction).
For an object to undergo acceleration but with a constant speed means that the direction part of the velocity vector is variable.
Let's discuss all the options one by one:
A man standing in an elevator - For a man standing in an elevator, speed changes with time. In this case, the apparent weight of the person is used. Because the speed, a scalar quantity, changes in the case, it can be eliminated.A car making a circle in a parking lot - For a car moving in a circle in a parking lot, the speed is constant, but the direction of the displacement vector constantly changes for all points of the the path, hence the velocity vector is variable, thus causing an acceleration called the centripetal acceleration. But the net acceleration of the motion is zero in a uniform circular motion. Hence, this option is our answer.A football flying in the air - For a football flying in the air, whether under freefall or in a projectile motion, the speed changes accordingly, thus terminating the required parts of the question. Hence, this too is eliminated.A car moving straight backwards on the road - For a car to move back in a straight path, it may be under acceleration, which causes the speed to increase but the direction to be the same, hence again the requirements of the question are not fulfilled, thus this option too must be eliminated.SO, the answer to the question is Option 2.
Learn more about acceleration here:
https://brainly.com/question/12550364
#SPJ4
The correct question should be:
Which of the following is an example of something that undergoes acceleration while moving at a constant speed?
A man standing in an elevatorA car making a circle in a parking lotA football flying in the airA car moving straight backwards on the roadNone of these.A low-strength aspirin tablet (sometimes called baby aspirin) contains 81 mg
of the active ingredient. How many kilograms of the active ingredient does a 100‑tablet bottle of baby aspirin contain?
Answers
Answer:
0.0081 kg
Explanation:
A low-strength aspirin tablet contains 81 mg of the active ingredient. To find the total amount of active ingredient in a 100-tablet bottle, we can multiply the amount per tablet by the number of tablets:
81 mg/tablet * 100 tablets = 8,100 mg
To convert milligrams (mg) to kilograms (kg), we divide by 1,000,000.
8,100 mg / 1,000,000 = 0.0081 kg
So a 100-tablet bottle of baby aspirin contains 0.0081 kg of the active ingredient.
Answer:
0.0081 kg
Explanation:
number of 81 mg pills
1 kg = 106 mg
1.05005 x 105 kg = 1.05005 x 1011 mg
n = 1.5005 x 1011 / 8.1 x 10
n = 0.129635802 x 1010
n = 1.29635802 x 109
hope it helps :)
Mark me as brainliest!
part d: use the constraints of the real-world situation to predict the height of the water balloon at 10 seconds. use complete sentences to support your answer
Answers
The height of the water balloon at 10 seconds will be 0 ft.
The information for a linear pair is given in the question like ordered pair
(0,60); (2,80); (3,80); (4,20); (6,0); (7,0); (8,0)
The values (input) on the time-related x-axis make up the domain.
The values entered on the y-axis, which represents the height the balloon attained, make up the range.
Now it is given that the height of the water balloon is continuously decreasing from 3 seconds after being thrown off the roof, reaching a height of 0ft. at 6 seconds, and maintaining that height up until 8 seconds, Newton's law of motion states that at 10 seconds, provided that no additional force is applied to the balloon, its height is 0ft.
The height of 0 feet is obtained at 10 seconds after the balloon is launched by extending the graph further.
Question)- The linear model represents the height, f(x), of a water balloon...
The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds:
Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points)
Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points)
Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points)
Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 14 seconds. Use complete sentences to support your answer. (3 points)
Learn more about height
brainly.com/question/20594266
#SPJ4
We will start by choosing a good research DESIGN. From the following options, which one would be best for testing whether our memory is accurate?
Case Study design
Correlational design
Experimental design
Answers
The best design for testing whether memory is accurate would be option C: Experimental design.
What is Experimental design?An experimental design allows the researcher to manipulate one or more independent variables and observe the effect on a dependent variable, in this case, memory accuracy.
This type of design allows for a cause-and-effect relationship to be established, as the manipulation of the independent variable is the only reason for the change in the dependent variable. This design also allows the researcher to control for extraneous variables that could affect the results.
In conclusion, an experimental design is the best option for testing whether memory is accurate as it allows for a cause-and-effect relationship to be established, allows the researcher to control for extraneous variables and allows for generalizing the findings to a larger population.
Learn more about Experimental design from
https://brainly.com/question/1418338
#SPJ1
Problem 1. Which of the following expressions could be valid ways to calculate a distance in physics? Briefly explain why/why not for each. (Hint: Think about what kind of physical quantity each term is, and what units it carries.) (a) 2πd , where d is a position(b) x+Δr, where x is a distance and Δr is a position difference (c) x+y ^2, where x and y are both distances (d) x^2+y^2, where x and y are both distances (e) A+z, where A is an area and z is a distance (f) vΔt^2, where v is a velocity and Δts a time difference (g) aΔt^2, where a is an acceleration and Δt is a time difference
Answers
a, b,d, g are expressions could be valid ways to calculate a distance in physics.
In physics, what specifically is a physical quantity?A physical quantity is a feature or quality of an object that may be gauged or computed from other measures. The quantification of physical quantities is expressed and evaluated using standards called units. Four fundamental units can be put together to create any unit.
The physical quantity of expression:
2πd => where d is position
d has unit 'm'
=> hence, 2πd => unit 'm'
Therefore, we can us this expression to define distance.
Sqrt (x+y ^2) => x, y are distance=> unit 'm'
=> sqrt(m+m^2) => In total, this expression does not have unit 'm'. hence, we can't use this expression to define distance.
What are fundamental units of matter?The length, mass, time, electric current, temperature, amount of a substance, and luminous intensity are the seven fundamental physical units that constitute up the International System of Units (SI), which is used to express all physical quantities.
Learn more about physical quantity here:
brainly.com/question/19266346
#SPJ4
Which of the following expressions could be valid ways to calculate a distance in physics? Briefly explain why/why not for each. (Hint: Think about what kind of physical quantity each term is, and what units it carries.)
(a) 2πd , where d is a position
(b) x+Δr, where x is a distance and Δr is a position difference
(c) Sqrt (x+y ^2), where x and y are both distances
(d) Sqrt( x^2+y^2), where x and y are both distances
(e) Sqrt(A+z), where A is an area and z is a distance
(f) vΔt^2, where v is a velocity and Δts a time difference
(g) aΔt^2, where a is an acceleration and Δt is a time difference
solve the question below
Answers
The velocity of the barium atom moving forward relative to the tube is 2.35 x 10^5 m/s and the velocity of the krypton atom relative to the containing tube is -2.35 x 10^5 m/s.
What is the velocity of the krypton atom (Kr) relative to the barium atom after separation?The velocity of the krypton atom (Kr) relative to the barium atom after separation is 2.35 x 10^5 ms^-1. This is the velocity at which the krypton atom is expected to move directly backwards after being separated from the auranium atom. It is important to note that this velocity is relative to the barium atom, and not the containing tube. To find the velocity of the krypton atom relative to the containing tube, we would need to take into account the initial velocity of the auranium atom and the mass ratios of the elements involved.
To know more about Barium Atom visit: https://brainly.com/question/14317471
#SPJ1
A sperm whale can accelerate at about 0.100 m/s2 when swimming on the surface of the ocean. How far will a sperm whale travel if it starts at a speed of 1.10 m/s and accelerates to a speed of 2.44 m/s? Assume the whale travels in a straight line.
Answers
The distance traveled by the sperm whale traveling at an initial speed of 1.10m/s to 2.44m/s is 23.7m.
How to calculate distance?The distance traveled by the sperm whale can be estimated using one of the equations of motion as follows:
v² = u² + 2as
Where;
v = final velocityu = initial velocitya = accelerations = distanceAccording to this question, a sperm whale can accelerate at about 0.100 m/s² when swimming on the surface of the ocean. The distance traveled by the whale can be calculated as follows:
2.44² = 1.10² + 2(0.10)(s)
5.95 = 1.21 + 0.2s
4.74 = 0.2s
s = 23.7m
Therefore, 23.7m is the distance of the sperm whale.
Learn more about distance at: https://brainly.com/question/29055485
#SPJ1
A ball falls from height of 18.5 m, hits the floor, and rebounds vertically upward to height of 15.0 m. Assume that m = 0.360 kg. (a) What is the impulse (in kg. m/s) delivered to the ball by the floor? magnitude kg. m/s direction up (b) If the ball is in contact with the floor for 0.0400 seconds, what is the average force (in N) the floor exerts on the ball? magnitude direction up
Answers
(a) Impulse delivered to the ball by the floor is 3.8 kg.m/s, and direction is upward. (b) average force exerted on the ball by the floor is 95 N, and the direction is upward.
What is impulse?Amount of force applied for a certain amount of time to cause the change in momentum is called impulse.
(a) impulse delivered to ball by the floor is;
As, impulse = change in momentum = m(vf - vi)
where m is mass of the ball, vf is final velocity of the ball after the collision and vi is initial velocity of the ball before collision.
Since the ball falls from a height of 18.5 m and rebounds to a height of 15.0 m, we know that the final velocity of the ball is upward, and the initial velocity of the ball is downward.
final velocity ; vf = sqrt(2gh)
where g is acceleration due to gravity and h is height of the rebound.
initial velocity; vi = sqrt(2gh)
where g is acceleration due to gravity and h is height of the fall.
vf = sqrt(29.815) = 7.68 m/s
vi = sqrt(29.818.5) = -10.26 m/s (upwards)
So, impulse = m(vf - vi) = 0.360 kg * (7.68 m/s - (-10.26 m/s)) = 3.8 kg.m/s
The impulse delivered to the ball by the floor is 3.8 kg.m/s, and direction is upward.
(b) The average force exerted on the ball by the floor;
average force = impulse / time of contact = 3.8 kg.m/s / 0.0400 s = 95 N
direction of force is upward.
The average force exerted on the ball by the floor is 95 N, and the direction is upward.
To know more about impulse, refer
https://brainly.com/question/229647
#SPJ4
if the terminal side of an angle theta passes through the point (-6, -3) determine the numerical value of all six trig functions
Answers
The terminal side of an angle theta passes through the point (-6, -3) wherein x= -6 and y= -3
The six trigonometric functions of theta are as follows:
sin θ = y/r
cos θ = x/r
tan θ = y/x
cosec θ = r/y
sec θ = r/x
cot θ = x/y
wherein r= √(x^2+y^2)
Therefore, the equations become,
r= √((-6^2)+(-3^2)) = √36+9 = √45 = 6.708
hence, sin θ = (-3)/6.708 = -0.44
cos θ = (-6)/6.708 = -0.89
tan θ = (-3)/(-6) = 0.5
cosec θ = 6.708/(-3) = -2.236
sec θ= 6.708/(-6) = -1.118
cot θ = (-6)/(-3) = 2
Learn more about trigonometric functions here brainly.com/question/15706158
#SPJ4
A 2 m long pendulum has a 100 g bob ties at one end and can oscillate freely.Don't forget to draw the diagrams FBDsa. Calculate the tension in the string in this equilibrium position when is is simply hanging. (Net force =0)The bob is moved to a side till the string makes an angle of 18 degrees with the vertical.b. Calculate the height to which the bob is raised (h=L(1-cos theta))c. Calculate the potential energy gained in the process PE=mghThe bob is now released to oscillate freely.d. Calculate the velocity with which the bob moves past the equilibrium position (v=sqrt(2gL))e. Calculate the tension in the string as bob moves past the equilibrium position (T-mg=mv2/r)
Answers
a. The tension in the string in the equilibrium position is 980 N.
In the equilibrium position, the bob is simply hanging and is not moving, so the net force on the bob is 0. The force acting on the bob is the tension in the string, which is equal to the weight of the bob (mg) in the opposite direction.
Therefore, the tension in the string in the equilibrium position is equal to the weight of the bob, which is [tex](100g)(9.8 m/s^2) = 980 N[/tex].
b. The height to which the bob is raised is 0.063 m.
It can be calculated using the equation h=L(1-cos theta).
Therefore, the angle theta is 18 degrees, so the height is (2m)(1-cos 18) = 0.063 m.
c. The potential energy gained in the process is 6.1 J
It can be calculated using the equation PE = mgh. The mass of the bob is 100g = 0.1 kg, the height is 0.063 m and the acceleration due to gravity is 9.8 m/s^2.
Therefore, the potential energy is [tex](0.1 kg)(9.8 m/s^2)(0.063 m)[/tex] = 6.1 J.
d. The velocity with which the bob moves past the equilibrium position is 4.5 m/s.
It can be calculated using the equation [tex]v = \sqrt{ (2gL)[/tex] The acceleration due to gravity is [tex]9.8 m/s^2[/tex] and the length of the pendulum is 2 m, so the velocity is [tex]\sqrt (2(9.8 m/s^2)(2m))[/tex] = 4.5 m/s.
e. The tension in the string as the bob moves past the equilibrium position is 24.7 N.
It can be calculated using the equation [tex]T - mg = mv^2/r[/tex]. The mass of the bob is 100g = 0.1 kg, the velocity is 4.5 m/s, and the radius is 2m, so the tension is [tex](0.1 kg)(4.5 m/s)^2/(2m) + (0.1 kg)(9.8 m/s^2)[/tex] = 24.7 N.
To learn more about tension in a string:
https://brainly.com/question/24994188
#SPJ4
Ahemingway2948
01/11/2020
Physics
College
answered • expert verified
You throw a softball (of mass 300 g) straight up into the air. It reaches a maximum altitude of 10.1 m and then returns to you. What is the gravitational potential energy of the softball at its highest position? Assume the ball departed from and returned to ground level.
Assume no energy is lost by the softball while it is in the air. What is the kinetic energy of the softball as soon as it leaves your hand? Answer in units of J.
What is the kinetic energy of the softball when it returns to your hand? Answer in units of J.
What is the speed of the ball? Answer in units of m per s.
Answers
29.69 J is the gravitational potential energy of the softball at its highest position.
29.69 J is the kinetic energy of the softball when it returns to your hand.
14.069 m/s is the speed of the ball.
What is kinetic energy?The energy of motion, or kinetic energy, may be seen in the movement of an item or subatomic particle. Kinetic energy can be discovered in every moving object and particle. Kinetic energy is generated when anything moving, such as a person walking, a baseball rising through the air, a piece of food dropping from a table, or a charged particle in an electric field. The object's squared velocity determines the kinetic energy. As a result, an object's kinetic energy quadruples when its velocity doubles.
Kinetic energy is divided into five kinds radiative, thermal, sound, electrically, and mechanic.
given that,
mass of the ball = 300 g = 0.3 Kg
maximum altitude of the ball = 10.1 m
Potential energy of the softball:
P.E = mgh
P.E = 0.3 x 9.8 x 10.1
P.E = 29.69 J
Maximum kinetic energy at which the ball is released from hand to reach height of 10.1 m is 29.69 J.
Kinetic energy at which ball returns to your hand is equal to 29.69 J.
speed of the ball:
K.E = 1/2 mv²
or, 29.69 = 1/2 × 0.3 × v²
or, v² = 197.93
or, v = 14.069 m/s
To know more about gravitational potential energy refer to:
https://brainly.com/question/15896499
#SPJ4
Which of the following light sources is the most efficient?
A. incandescent B. LED C. fluorescent D. sodium vapor
Answers
LED (light-emitting diοde) lights are the mοst efficient of the options given.
What is light emitting diode?LED (light-emitting diοde) lights are the mοst efficient type of light source. They use less energy, last longer, produce less heat and are more durable than οther types of lights like incandescent, fluorescent, and sodium vapor lights.
They are also more energy-efficient and ecο-friendly.
They use less energy than incandescent and fluοrescent lights.
They have a lοnger lifespan than incandescent and fluorescent lights.
They produce less heat than incandescent and fluοrescent lights.
They are more durable and mοre resistant to breakage than incandescent and fluοrescent lights.
To learn more abοut LED refer:
brainly.com/question/30047287
#SPJ4
this week, consider the following terms: displacement velocity time distance speed vector acceleration
Answers
Speed and distance are both scalar values, which means they only have a magnitude (or numerical value).
Displacement, velocity, and acceleration, on the other hand, are vector quantities, which means they have both a magnitude and a direction.
The shortest distance between the starting point and the ending location can be used to determine displacement. A vector quantity with both magnitude and direction is displacement.
The length of the actual path a body takes during a time period can be used to determine distance. A scaler quantity with simple magnitude is distance.
The distance a body travels in a unit of time is referred to as speed. It is a smaller amount.
A body's displacement in a unit of time is one way to define velocity. A vector quantity, that is.
The rate at which an object's velocity changes over time is known as acceleration.
Know more about velocity
https://brainly.com/question/25749514
#SPJ4
For a given fluid at a given temperature, we plot the shear stress vs the shear strain rate. The slope of the resulting line can be referred to as the ____________ (one word).
Choose matching definition
O viscosity
O solubility
O density
O water
Answers
The slope of the resulting line can be referred to as the viscosity.
What is mean by viscosity? Viscosity is a measure of a fluid's resistance to flow. It is a property of a fluid that describes how easily it can be moved or stretched. It is a measure of how thick a liquid is and how easily it can be poured or mixed. Viscosity is measured in units such as centipoise (cP), poise (P), or centistokes (cSt). The higher the viscosity of a fluid, the slower it flows. Viscosity can be affected by temperature, pressure, and other factors. For example, temperature can increase the fluid's viscosity, while pressure can decrease it. Viscosity is an important factor in many engineering and industrial processes, such as oil drilling, automotive lubrication, and paint applications. It affects the performance of engines, pumps, and other machinery. It is also important in the design of vessels and pipelines, and it affects the flow of fluids through them. Knowing the viscosity of fluids is essential for successful operation of these systems.To learn more about viscosity refer to:
https://brainly.com/question/2568610
#SPJ4
click on bar graph, and observe the kinetic energy bar as the skater goes back and forth. you can select slow motion below the track for a more accurate observation. where on the track is the skater's kinetic energy the greatest?
Answers
Kinetic energy reaches its peak at the track's lowest point as the skater goes back and forth.
What is kinetic energy?In physics, an object's kinetic energy is the energy it has as a result of its motion. It is defined as the amount of work required to accelerate a body of a given mass from rest to a given velocity. The body retains its kinetic energy after gaining it during acceleration unless its speed changes. Kinetic energy is the energy of motion, which can be seen as an object or subatomic particle moving. Kinetic energy exists in every moving object and particle. Kinetic energy is demonstrated by a person walking, a soaring baseball, a crumb falling from a table, and a charged particle in an electric field.
Here,
Kinetic energy peaks at the lowest point of the track as the skater goes back and forth.
To know more about kinetic energy,
https://brainly.com/question/26472013
#SPJ4
micah is cooking a pork roast for his family. he wants to be sure the pork roast has an internal temperature of at least 145 degrees fahrenheit. he uses a thermometer to measure the internal temperature at three randomly chosen places. the minimum reading in the sample is 152 degrees fahrenheit. identify the population, the parameter, the sample, and the statistic. population, minimum temperature of 145 degrees fahrenheit; parameter, all pork temperature readings; sample, three random
Answers
The population in this particular problem is the pork roast. The parameter on which the population is being evaluated is 142 degrees Fahrenheit. The sample is the three random places in the pork roast where the temperature was checked. The statistic is 152 degrees Fahrenheit, which was the minimum temperature recorded during sampling.
1. The population is the object or group on which the evaluation is being done. In this scenario, the population is the pork roast.
2. Parameter is a bar which is set for measuring a feature in the population. In this problem, Micah wants the pork roast, i.e., the population, to have a minimum temperature of 142 degrees Fahrenheit.
3. A sample is chosen at random from a given population to check if the parameter matches. In this problem, Micah checked the temperature of the pork roast at three random places to deduce the average temperature of the population.
4. The statistic is the actual measurement of the sample which is compared to the parameter. In this case, the statistic would be the average minimum temperature of 152 degrees Fahrenheit.
Learn more about random sampling here brainly.com/question/13219833
#SPJ4
When you stand on a bathroom scale, the scale does not measure the force of gravity (i.e., weight) acting upon your mass. What does the scale measure?
Answers
The scale reading is actually a measure of the upward force applied by the scale to balance the downward force of gravity acting upon an object
What is a bathroom scale ?Scales measure weight, which is the force acting on a mass equal to the mass times the acceleration of gravity of the object. Due to the dependence of the weighing mechanism and the weight of any given object on the local gravity, a scale cannot accurately determine mass.
Although we use a scale to determine how much we weigh, the scale reading actually represents the upward force the scale applies to an object to counteract the downward force of gravity. These two forces are balanced when an object is in an equilibrium condition (whether it is at rest or moving at a constant speed).
Learn more about Bathroom scale here:
https://brainly.com/question/12993931
#SPJ4
A 7.5-kg otter slides down a hill, starting from rest at the top. The sloping surface of the hill is 8.8 m long, and the top is 6.5 m above the base. If the speed of the otter at the bottom of the hill is 9.2 m/s, how much energy was lost to nonconservative forces on the hill?
Answers
The energy lost to non conservative forces on the hill is
[tex]4,977.5 J - 34.2 J = 4,943.3 J.[/tex]
What percentage of the hill's energy was lost to non conservative forces?The potential energy at the top of the hill is given by mgh, where m is the mass of the object, g is the acceleration due to gravity and h is the height above the base.
Therefore, the potential energy at the top of the hill is [tex]7.5 kg x 9.8 m/s^2 x 6.5 m = 4,977.5 J[/tex]
The kinetic energy at the bottom of the hill is given by[tex]1/2 mv^2[/tex], where m is the mass of the object and v is the velocity.
Therefore, the kinetic energy at the bottom of the hill is[tex]1/2 x 7.5 kg x 9.2 m/s^2 = 34.2 J[/tex]
The energy lost to non conservative forces is the difference between the initial potential energy and the final kinetic energy.
Therefore, the energy lost to non conservative forces on the hill is [tex]4,977.5 J - 34.2 J = 4,943.3 J.[/tex]
The energy loss is due to the various non conservative forces like friction, air resistance, etc. that the otter has encountered while sliding down the hill.
It's worth noting that the energy lost to non conservative forces is not recoverable and the energy conserved can only be converted between different forms.
To learn more about kinetic energy refer:
bhttps://brainly.com/question/999862
#SPJ4
400 jj of work are done on a system in a process that decreases the system's thermal energy by 300 jj .
Answers
In this process, 400 joules of work are done on the system, which means energy is being transferred into the system in the form of work. At the same time, the thermal energy of the system is decreasing by 300 joules. This suggests that the system is also losing energy in the form of heat and it indicates that the work done on the system is used to remove thermal energy from the system, leading to a decrease in the system's temperature. This process is likely an example of a cooling process, such as refrigeration or air conditioning.
Overall, the net change in the system's energy is -300 joules (decrease in thermal energy) + 400 joules (work done on the system) = 100 joules. This means that the system has gained 100 joules of energy overall, but it has gained it in the form of work and lost it in the form of heat.
To learn more about Thermal energy:
https://brainly.com/question/7541718
#SPJ4
A force can change an object's___energy by changing its motion or its position. Question options: a. electromagnetic b. mechanical c. potential d. kinetic
Answers
Answer:
(d) Kinetic Energy
Explanation:
Applying a force requires us to do work. After work has been done on the body, energy used by us to do work is transferred to the object, and the object will be moving with a new constant speed. The energy transferred is known as kinetic energy, and it depends on the mass and speed achieved.
