The blades in the blender decelerate at a rate of approximately: 4.32 rps² when the motor is turned off during operation, taking 2.7 seconds to come to a complete stop from an initial rotational speed of 700 rpm or 11.67 rps.
To answer your question, let's first convert the given rotational speed from rpm to revolutions per second (rps) by dividing by 60, as there are 60 seconds in a minute:
700 rpm ÷ 60 = 11.67 rps
Next, we need to determine the rate at which the blades are decelerating, which is the change in rotational speed over the 2.7 seconds. Since the blades come to a stop, the final rotational speed is 0 rps. We can calculate the deceleration as follows:
Deceleration = (Final Rotational Speed - Initial Rotational Speed) ÷ Time
Deceleration = (0 rps - 11.67 rps) ÷ 2.7 s
Deceleration ≈ -4.32 rps²
This means that the blades in the blender decelerate at a rate of approximately 4.32 rps² when the motor is turned off during operation, taking 2.7 seconds to come to a complete stop from an initial rotational speed of 700 rpm or 11.67 rps.
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two drivers, alison and kevin, are par- ticipating in a drag race. beginning from a standing start, they each proceed with a constant acceleration. alison covers the last 1>4 of the distance in 3 seconds, whereas kevin covers the last 1>3 of the distance in 4 seconds. who wins and by how much time?
In the drag race between Alison and Kevin, Alison wins by 1 second.Let's denote the total distance of the race as "d" and the constant accelerations of Alison and Kevin as "a" and "b," respectively. Since both drivers start from a standing position, their initial velocities are zero.
According to the given information, Alison covers the last 1/4 of the distance in 3 seconds, while Kevin covers the last 1/3 of the distance in 4 seconds.
Let's calculate the time it takes for Alison to cover the last 1/4 of the distance:
Since the distance covered is 1/4 of the total distance, we can write:
1/4 * d = (1/2) * a * (3^2)
d = 9a/2
Similarly, for Kevin, the time it takes to cover the last 1/3 of the distance is:
1/3 * d = (1/2) * b * (4^2)
d = 8b/3
Since both expressions represent the same total distance, we can equate them:
9a/2 = 8b/3
Simplifying the equation, we find:
27a = 16b
From this equation, we can see that Alison's acceleration is greater than Kevin's. Therefore, Alison reaches the finish line before Kevin, winning the race.
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a child hits a ball with a force of 350 N. (a) If the ball and bat are in contact for 0.12 is, what impulse does the ball receive? (b) what is its change in momentum?
Explanation:
Given that,
Force with which a child hits a ball is 350 N
Time of contact is 0.12 s
We need to find the impulse received by the ball. The impulse delivered is given by :
\(J=F\times t\\\\J=350\times 0.12\\\\J=42\ N-m\)
So, the impulse is 42 N-m..
We know that he change in momentum is also equal to the impulse delivered.
So, impulse = 42 N-m and change in momentum =42 N-m.
a horizontal spring with spring constant 270 n/m is compressed by 20 cm and then used to launch a 300 g box across the floor. the coefficient of kinetic friction between the box and the floor is 0.23. what is the boxes launch speed
The launch speed of the box is approximately 6 m/s. To find the launch speed of the box, follow these steps:
1. Calculate the elastic potential energy (PE) stored in the spring when it's compressed by 20 cm (0.2 m):
\(PE = (1/2) * k * x^2\)
\(PE = (1/2) * 270 N/m * (0.2 m)^2\)
\(PE = 5.4 J (joules)\)
2. Calculate the work done by friction (W) as the box slides across the floor:
W = friction force * distance
W = (coefficient of kinetic friction * normal force) * distance
Since the box is on a horizontal floor, the normal force equals the gravitational force on the box:
Fg = m * g
where m is the mass of the box and g is the acceleration due to gravity (approximately 9.81 m/s^2).
\(W = (0.23 * m * g) * distance\)
3. Apply the work-energy theorem, which states that the work done on an object is equal to its change in kinetic energy (KE):
\(W = KE_final - KE_initial\)
Since the box starts from rest, KE_initial = 0. So,
\(W = KE_final\)
\(KE_final = 1/2 * m * v^2,\) where v is the launch speed.
4. Equate the work done by friction to the elastic potential energy and solve for v:
\(5.4 J = 1/2 * (0.3 kg) * v^2\)
\(v^2 = (5.4 J * 2) / 0.3 kg\)
\(v^2 ≈ 36\)
\(v ≈ 6 m/s\)
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what is python in programming.
Answer:
Python is a programming language uses code like java ,Css and HTML. it is uses in software and some application. It is use in coding website and application.
1. Biodiversity refers to the variety of life in an ecosystem.
False
True
A red car travels 400 m in 20s. A blue car travels 660m in 30s. Which car has the greater average speed?
Answer:
The Blue Car has a greater average speed at 22 m/s.
Explanation:
Red car average = 400 / 20 = 20 m/s
Blue car average = 660 / 30 = 22 m/s
helium gas occupies volume of 0.04 m cube at pressure of 2× 10^5 pascal at temperature 300 k . calculate mass of helium and uts rms speed
Helium gas occupies volume of 0.04 m cube at pressure of 2× 10^5 pascal at temperature 300 k then mass of helium is 12.8g and rms speed is 765 m/s.
Helium is a chemical element with the atomic number 2 and the symbol He. It is a colorless, odorless, tasteless, non-toxic, inert, monatomic gas that is the first in the periodic table's noble gas category. It has the lowest boiling point of any element, and it has no melting point at ordinary pressure. After hydrogen, it is the second lightest and most plentiful element in the observable universe. It accounts for approximately 24% of total elemental mass, which is more than 12 times the mass of all heavier elements combined.
according to ideal gas equation,
PV=nRT
n = PV/RT
n = 2× 10⁵ × 0.04 ÷ 8.31× 300 = 3.2 mol
mass of the helium = n× molar mass of the helium
m = 3.2 mol × 4g/mol
m = 12.8g
mass of the single helium atom = 12.8g/Avogadro number
12.8g/6.02214×10²³ = 2.12×10⁻²³g = 2.12×10⁻²⁶kg
The RMS speed is given by,
v(rms) = √(3kT/m)
v(rms) = √(3× 1.380649×10⁻²³×300/2.12×10⁻²⁶)
v(rms) = 765 m/s.
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a 110 volt wall outlet supplies power to a stereo with a resistance of 10 ohms. how much current is flowing through the stereo?
Answer:
look in internet u can find online converter and there u will get a rel answer
Explanation:
Variation in which characteristic would best help bison surviv a harsh winter?
Rita is a salon owner. She notices that her salon charged one of her clients, Linda, extra for a service that the clent did not request. What do you think Rita should do? Α. Remaln qulet about the extra money. B. Distribute the money equally among the staff. C. Call the client and Inform her that she was incorrectly charged. D. Try overcharging the next client too and check if it goes unnoticed.
Answer:
C hope it helps
call the client and inform her that she was incorrectly charged.
Answer:
The answer is C. call the client and inform her that she was incorrectky charged
Explanation:
what vehicle component transfers engine torque to the axles allowing the wheels on the same axle to turn at different speeds
Differentials are the components of a car that transfer engine torque to the axles allowing the wheels on the same axle to turn at different speeds.
There are two differentials in a car. The first one is located on the rare wheels and the second one is located on the front wheels.
The purpose of differentials is to allow the wheels to turn at different speeds required when the car is making a turn. The differentials send the torque from the transmission to the drive wheels.
During the turn, the differentials allow the front and rare wheels to turn at different speeds.
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What factors affect an objects kinetic energy?
Answer:
friction
air drag
every thing that opposes the motion affects kinetic energy
Explanation:
kinetic energy is a energy which is increase with increase in motion and potential energy is energy stored while the object is at rest
potential energy ∝ 1/(kinetic energy)
as kinetic energy increases potential energy decreases
for a star of 10 solar masses, its main sequence life span will be:
For a star with 10 solar masses, its main sequence life span will be significantly shorter than that of our Sun.
Using the mass-luminosity relation and the fact that the Sun has a main sequence life span of about 10 billion years, we can estimate the life span of a 10 solar mass star to be around 32 million years. This is because more massive stars consume their nuclear fuel at a faster rate, leading to a shorter main sequence life span.
During its main sequence phase, a star fuses hydrogen in its core to form helium, and this process generates the energy that enables the star to shine. As the hydrogen in the core is gradually consumed, the star will eventually exhaust its nuclear fuel and begin to evolve into a red giant or supergiant star.
The exact timing of this transition depends on the star's mass and can range from a few million years for the most massive stars to tens of billions of years for the least massive stars. However, for a star with a mass of 10 solar masses, the main sequence phase is relatively short-lived, lasting only about 1/50th of the total lifetime of the star.
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No links plz!!
Why can't we observe the image of a distant object in a concave mirror, but we can observe in a convex mirror? Both images are diminished.
Answer:
Light
Explanation:
The way a concave mirror works is that since it's concave, the light bounces off of each other. a convex mirror, it curved the opposite, and the mirror has no way to bounce off of itself.
An object has been in freefall for 10 seconds. Tel me the object velocity and acceleration at second 5 and second 10. The object will keep accelerating until wat occurs
Answer:
49m at 5 seconds, 98m at 10 seconds. the object will keep accelerating until an obstacle occurs or something blocks/stops it. (ex. the ground)
Object 1 in the diagram at the right represents a proton moving perpendicularly to a magnetic field of magnitude 0.55T at a speed of 5.6 x 10^3 m/s.
a. Draw and label a vector showing the direction of the force on the proton.
b. Calculate the magnitude of the force.
Answer:
Explanation:
a. The direction of the force on the proton can be determined using the right-hand rule for magnetic fields. If the right hand is oriented such that the fingers point in the direction of the magnetic field (from north to south in this case) and the thumb points in the direction of the proton's velocity (to the right in this case), then the palm of the hand will point in the direction of the force on the proton. Using this rule, we can see that the force on the proton points downward, as shown in the diagram below:
N
|
<----|---->
| | |
| | |
|____|____|
|
S
b. The magnitude of the force on the proton can be calculated using the formula:
F = qvB
where F is the magnitude of the force, q is the charge of the particle, v is its velocity, and B is the magnetic field strength. For a proton, which has a charge of +1.6 x 10^-19 coulombs, the magnitude of the force is:
F = (1.6 x 10^-19 C)(5.6 x 10^3 m/s)(0.55 T) = 4.5 x 10^-14 N
Therefore, the magnitude of the force on the proton is 4.5 x 10^-14 N.
Pleas answer if you want brainliest I need help fast
Nolan is making a capacitor using plates that have an area of 3.2 × 10–4 m2 separated by a distance of 0.20 mm. He has the two dielectrics listed in the table.
table:
dielectirc 1= dielectric constant 6.8
dielectric 2= dielectric constant 1.5
At a voltage of 1.5 V, how much more charge can Nolan store in the capacitor using dielectric 1 than he could store using dielectric 2?
answer choices:
7.5 × 10^–11 C
9.6 × 10^–11 C
1.1 × 10^–10 C
1.4 × 10^–10 C
Answer: 1.1 x 10^-10 C
Explanation:
Answer:
1.1 x 10^-10 C
Explanation:
on edg 21
Draw a complete circuit. Label all the parts. Use a crayon to trace the path electricity takes to light the bulb.
Answer:
Here you go, look at the pic. It's labeled
If velocity is positive, which would most likely yield a negative acceleration?
1. A final velocity that is faster than the initial velocity.
2. A time that is less than half hour.
3. An initial velocity that is faster than a final velocity.
4. A tune that is greater than half hour.
Please help there’s only 52 minutes left...
Answer:
An initial velocity that is faster than a final velocity.
Explanation:
The most likely yield of a negative acceleration given that velocity is positive is : ( 3 ) An initial velocity that is faster than a final velocity
What is Negative acceleration ?A negative acceleration is rate of change of velocity in the negative direction ( i.e decrease in velocity with time ). A negative acceleration is also known as dacceleration. To achieve a negative acceleration the final velocity has to be less than the initial velocity.
Hence we can conclude that The most likely yield of a negative acceleration given that velocity is positive is : ( 3 ) An initial velocity that is faster than a final velocity.
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The cartesian coordinates of a point in the xy plane are x = −6.46 m, y = −3.78 m. Find the distance r from the point to the origin. Answer in units of m.
Explanation:
Use Pythagorean theorem:
r² = x² + y²
r² = (-6.46 m)² + (-3.78 m)²
r = 7.48 m
what is the capacitance after the plate separation distance in the initial capasitor was halved?
Assuming the plates of the capacitor remain the same size and shape, the capacitance of a parallel plate capacitor is inversely proportional to the distance between the plates. Thus, if the plate separation distance is halved, the capacitance will be doubled.
Capacitance is a measure of a capacitor's ability to store charge. It is directly proportional to the surface area of the plates and inversely proportional to the distance between them. The formula for capacitance is C = εA/d, where C is capacitance, ε is the permittivity of the dielectric material between the plates, A is the surface area of each plate, and d is the distance between the plates. If the plate separation distance is halved, the capacitance will double, since capacitance is inversely proportional to the distance between the plates. This is because the electric field strength between the plates will increase due to the decrease in distance, resulting in more charge being stored on the plates for a given potential difference.
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How much work is done in launching the object?
A) 9.80 kg m/s^2
B) 19.6 J
C) 9.8 J
D) 19.6 N
9.8 J of work done is required to launch the item (Option C).
To determine the work done in launching the object, we can use the formula:
Work = Force x Distance x Cos(theta)
where theta is the angle between the force vector and the direction of motion. In this case,
since the force is applied in the same direction as the motion of the object, theta is 0 degrees, and cos(theta) is 1.
Substituting the given values, we get:
Work = 19.6 N x 0.50 m x 1 = 9.8 J
Therefore, the work done in launching the object is 9.8 J (Option C).
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Complete question:
Question asked: how much work is done in launching the object?
Information in the passage included: 1.00 kg object initially at rest. The student applies a force of 19.6 N through a distance of .50 m to propel the object straight upward.
multiple choice
15) A coiled spring used to help a door close has ________ ________energy when the door is open.
16) After braking, a bicycle's tires increase in temperature as friction causes some of the
mechanical energy to transfer to ________ energy.
According to conservation of energy, the energy of interacting bodies in a closed system remains constant. The total energy of an isolated system remains constant; it is said to be conserved over a period of time.
Elastic energy is the mechanical implicit energy stored in the configuration of a material or physical system as it's subjected to elastic distortion by work performed upon it. Elastic energy occurs when objects are impermanently compressed, stretched or generally misshaped in any manner.
The mechanical energy is never lost forever , rather it gets converted to thermal energy because of the friction .
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Which Tesla would win in a drag race?
(A) 2009 Tesla Roadster
(B) 2016 Tesla Model X
Answer:B
Explanation:
A has about 248 hp but B has about 683 hp. 2016 is younger too. good day
The parking brake on a 1200kg automobile has broken, and the vehicle has reached a momentum of 7800kg.m/s. What is the velocity of the vehicle?
Answer:
Velocity of the vehicle (v) = 6.5 m/s
Explanation:
Mass of automobile (m) = 1200 kg
Momentum of vehicle (p) = 7800 kg m/s
By using formula of momentum:
\( \rm p = mv \\ \rm 7800 = 1200 \times v \\ \rm v = \frac{7800}{1200} \\ \rm v = 6.5 \: m {s}^{ - 1} \)
20 POINTS:
Why does the initial hill of a roller coaster need to be steep?
Answer: A roller coaster does not have an engine to generate energy. The climb up the first hill is accomplished by a lift or cable that pulls the train up. This builds up a supply of potential energy that will be used to go down the hill as the train is pulled by gravity
Hope this helps! Good luck with future homework and exams!
You decide to "go green" and use an exercise bike to power your home appliances. Assume that your exercise bike is rigged to generate electrical power with 60% efficiency. In other words, only 6/10 of the power you develop
can be used to store electrical energy for later use. Consider your 3500-Watt central AC unit. You need to run this unit for 4 hours each day during the summer. If you can develop a sustained power of 300 Watts on your exercise bike, how long would you have to work out just to keep the AC
running on a summer day?
The amount of time required to generate energy on the exercise bike is almost impractical, and other sources of energy should be considered.
Let's start with calculating the amount of energy that the AC unit consumes in a day.
Power = Voltage x Current
The power consumption of the AC unit is 3500 Watts.
Time = Power / Voltage x Current (Ohm's Law)
Assuming that your home uses 120 volts AC, the amount of current needed is as follows:
Current = Power / Voltage
= 3500 W / 120 V
= 29.16 A.
The time required to operate the AC unit for four hours per day is:
Time = Power / Voltage x Current
= 3500 W x 4 hr / 120 V x 29.16 A
= 12 hours.
Now, if you can generate a consistent power of 300 watts on the exercise bike, the amount of time you'd need to work out each day to keep the AC unit running for four hours would be:
Time required for the exercise bike = Time for AC Unit x (Power required by AC unit / Power generated by exercise bike)
Time required for the exercise bike = 4 hours x (3500 W / 300 W)
Time required for the exercise bike = 46.7 hours.
Using an exercise bike to generate electricity is a great idea, but it would be difficult to generate enough energy to keep large home appliances running, such as a central AC unit.
In this case, the amount of time required to generate energy on the exercise bike is almost impractical, and other sources of energy should be considered.
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Which applications, either for diagnostic purposes or for therapeutic purposes, involve the use of X-rays? Check all that apply.
Answer:
1, 3, 7, 8
Source:
Trust me bro
sam says that beta particles are not used to irradiate food because they make it radioactive. Jo says that the reason is that beta particles would not be able to penetrate all the way through think packages of food. Who is correct, Sam or Jo?
Answer:
Jo
Explanation:
irradiating food doesn't make it radioactive (that's contamination) and beta particles are stopped by aluminium foil or thin metals, so it may not pass through thick packaging (usually gamma is used to irradiate foods as it can pass through the packaging)
if acceleration due to gravity is 10m/s², what will be the potential energy of a body of mass 2 kg kept at a height of 5 meter ?
Answer:
50J
Explanation:
Ep = mgh
Here,
m = 1kg; g = 10 m/s2; h = 5m
So, Ep = 1kg*10m/s2*5m
= 50J
So, the potential energy is 50J (Ans).