The magnitude of the acceleration of the object at t = 2.00 s is 4.00 m/s².
What is the magnitude of the object's acceleration at t = 2.00 s?To find the magnitude of the acceleration at a specific time, we need to differentiate the position vector twice with respect to time. Given the position vector[tex]r⃗ = [2.0 m + (2.00 m/s)t] i^ + [3.0m−(2.00 m/s²)t²] j^[/tex], we can calculate the acceleration by taking the second derivative with respect to time.
Taking the first derivative of the position vector [tex]r⃗[/tex] with respect to time, we find the velocity vector[tex]v⃗ = [2.00 m/s] i^ - [4.00 m/s²t] j^.[/tex]
Next, taking the second derivative of the position vector [tex]r⃗[/tex] with respect to time, we obtain the acceleration vector [tex]a⃗ = - [4.00 m/s²] j^.[/tex]
At t = 2.00 s, the acceleration vector becomes[tex]a⃗ = - [4.00 m/s²] j^.[/tex]
The magnitude of the acceleration is the absolute value of its scalar component, which is[tex]|a⃗| = |-4.00 m/s²| = 4.00 m/s².[/tex]
Therefore, the magnitude of the acceleration of the object at t = 2.00 s is 4.00 m/s².
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The power generated by the engine was just 2.984 KW. How long would this engine have to run to produce 3.60 × 104 J of work?
1 watt = 1 joule/second
1 KW = 1,000 joule/second
Work = (power) x (time)
3.6 x 10⁴ J = (2,984 joules/second) x (time)
time = (3.6 x 10⁴J) / (2,984 J/s)
time = (36,000J) / (2,984 J/s)
time = 12.06 seconds
Lithium (Li) has a charge of +1, and oxygen (O) has a charge of –2. Which is the chemical formula? LiO2 LiO Li2O Li2O2
Answer:
The results is Li₂O
Explanation:
n a chemical reaction, the electron miner in the formula must be balanced, that is, the number of positive and negative charges is the same
In this case, oxygen has a valence of -2 that is, it can give two electrons and lithium has a valence of +1, therefore two lithium atoms are needed for the charges to be neutral, therefore the chemical formula is
The results is Li₂O
Answer:
Li2O
Explanation:
just took the test on edge
House current is 120 volts. If a light bulb runs a current of 0.5 amps, what the resistance of the bulb? (Please please help!)
Resistance = (voltage) divided by (current)
= (120 V) / (0.5 Amp)
= 240 ohms .
. ___________ The heat and light move from the core into this layer.
[tex]\huge{ \star \fcolorbox{magenta}{purple}{ \fcolorbox{magenta}{blue}{ \fcolorbox{magenta}{pink}{ \fcolorbox{magenta}{red}{ \sf{photosphere}}}}}} \star[/tex]
Answer:
PHOTOSPHERE
Explanation:
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2.2 State the dependent variable.
Answer:
The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable. An example of a dependent variable is depression symptoms, which depends on the independent variable
Explanation:
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Answer:
According to Figure 3, to purchase and install a wind turbine costs $50,000, while to purchase and install a hyrdroelectric generator costs $20,000. The hyrdroelectric generator is relatively cheaper compared to the wind turbine. While the hydroelectric generator is cheaper, it only produces 8 kilowatts of constant power output, and, on the other hand, the wind turbine produces an average of 10 kilowatts of power output. The hydroelectric generator processes constant power output, while the wind turbine processes varying power outputs, with an average of 10 kilowatts.
Answer:
wind turbines r better than hydroelectric generators
Explanation:
An airplane is flying at 80 kilometers per hour when a strong tail wind, traveling in the same direction at 5 kilometers per hour, hits the airplane. How can the net force acting on the airplane be calculated?
A. add the forces
B. subtract the forces
C. multiply the forces
D. divide the forces
Answer:
A.add the forces
Explanation:
since they're both going in the same direction then they should be added to get the total net force.
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The net force acting on the airplane if, An airplane is flying at 80 kilometers per hour when a strong tailwind, traveling in the same direction at 5 kilometers per hour is 85 km/hr so, option A is correct.
What is force?Force is the influence of either pull or pushes in the body. Basically, gravitation forces, nuclear forces, and friction forces are the types of forces.
For e.g. when the wall is hit by a hand then a force is exerted by the hand on the wall as well as the wall also exerts a force on the hand. There are different laws given to Newton to understand force.
Given:
An airplane is flying at 80 kilometers per hour when a strong tailwind, traveling in the same direction at 5 kilometers per hour,
Calculate the net force acting on the airplane as shown below,
The net force acting on the airplane = The velocity of the airplane + velocity of the wind (As they both are in the same direction)
The net force acting on the airplane = 80 km / hr + 5 km / hr
The net force acting on the airplane = 85 km / hr
Thus, the net force acting on the airplane is added.
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How do pool players use Physics to make the balls on the pool table go where they want to?
Answer:
hi my Friend
check in this link https://youtu.be/ErFP7VmNbGk
Explanation:
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Answer:
B
Explanation:
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Sam, whose mass is 60 Kg, is riding on a 5.0 kg sled initially traveling at 8.0 m/s. He
brings the sled to a stop in 4.0 seconds. What amount of force is applied to the sled in
bringing it to a stop?
===============================================================
Explanation:
We'll need the acceleration first.
The initial speed (let's call that Vi) is 8.0 m/sThe final speed (Vf) is 0 m/s since Sam comes to a complete stop at the end.This happens over a duration of t = 4.0 secondsThe acceleration is equal to the change in speed over change in time
a = acceleration
a = (change in speed)/(change in time)
a = (Vf - Vi)/(4 seconds)
a = (0 - 8.0)/4
a = -8/4
a = -2
The acceleration is -2 m/s^2, meaning that Sam slows down by 2 m/s every second. Negative accelerations are often associated with slowing down. The term "deceleration" can be used here.
Here's a further break down of Sam's speeds at the four points of interest
At 0 seconds, he's going 8 m/sAt the 1 second mark, he's slowing down to 8-2 = 6 m/sAt the 2 second mark, he's now at 6-2 = 4 m/sAt the 3 second mark, he's at 4-2 = 2 m/sFinally, at the 4 second mark, he's at 2-2 = 0 m/sNext, we'll apply Newton's Second Law of motion
F = m*a
where,
F = force appliedm = massa = accelerationWe just found the acceleration, and the mass is fairly easy as all we need to do is add Sam's mass with the sled's mass to get 60+5.0 = 65 kg
So the force applied must be:
F = m*a
F = 65*(-2)
F = -130 newtons
This force is negative to indicate it's pushing against the sled's momentum to slow Sam down.
The magnitude of this force is |F| = |-130| = 130 newtons
What does the force between electric charges depend on
Answer:
Electric force and the inverse square law
Both forces act along the line joining the objects (masses or charges). Both forces are inversely proportional to the square of the distance between the objects, this is known as the inverse-square law.
A wave along a guitar string has a frequency of 540 Hz and a wavelength of 2.5 meters. What is the speed of the wave?
There is a scale with a basket on it. A brick, brick #1 is placed on the scale. The brick has a mass of 10 kg. If the brick is not moving on the scale, are the forces balanced or unbalanced?
Answer:
The forces are balanced
Explanation:
Since the brick is not moving on the scale, it means that the forces are balanced. An unbalanced force would only be present if there is motion of the brick. So, since the brick does not move, the net force on it is zero. Thus, the forces on it are balanced.
If a lion drags his prey 10 meters to his den doing 500 joules of work, how much
force did he use?
Answer:
I think it's 5000N
Explanation:
You use the formula F=a.m, so m=10 meters, a=500 joules. F=10x500=5000N
Neon has 10 electrons; two in the inner level and 8 in its outermost level. Will neon form bonds with other atoms?
Answer:
no
Explanation:
this is because its valency shell is full so it wont want any other electrons in its valence shell.
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Answer:
the applied force is greater than the force of friction
Explanation:
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Answer:
hi!
Explanation:
The answer is option b.
A box can definitely not move on it's own unless an external force is applied i.e muscular force. If the applied force would have been less than the force of friction then the box would have never displaced. But, since the box is able to move, we can imply that, the applied force is greater than the frictonal force leading in the displacement of the box.
Which object has the most kinetic energy? A. Object 1 B. Object 2 C. Object 3 D. Object 4
Answer:
the answer is A because it has the least number but high in energy
Give Ideas to create hearing instruments to fix hearing problems in space, as you know sound waves can’t travel through empty space.
what is conduction, and does it occurs only in solids?
Conduction is the transfer of heat without the actual motion of molecules and it takes place only in solids.
MARK ME BRAINLISTAccording to Newton’s law of universal gravitation, as the mass or one or both bodies increases, what happens to the force of attraction between the bodies?
force decreases
causes no change
force increases
Answer:
force increases
Explanation:
Newton's law of universal gravitation states that the force of attraction (gravity) acting between the Earth and all physical objects is directly proportional to the Earth's mass, directly proportional to the physical object's mass and inversely proportional to the square of the distance separating the Earth's center and that physical object.
According to Newton’s law of universal gravitation, as the mass or one or both bodies increases, the force of attraction between the bodies increases.
Mathematically, this is given by the Newton's Second Law of Motion;
Force = mass * acceleration.
A force of 450 N moves a body through 300 cm in the direction of force. Calculate the work
done by the force.
Answer:
150J
Explanation:
Formula : Work done
Force x distance
work done = force x distance
Distance should be measured in meters
300÷100=3m
work done = 450 x 3
=150J
Explain how the readings on both meters change when the environmental conditions change.
Help please :'0
Answer:
* Temperature changes
* Changes in the tension
* Errors in the meter marks
Explanation:
When we are using several meters to make a measurement we have several aspects that can cause the readings to differ.
* Temperature changes make the dilation between readings different, at higher temperatures the material of the meter expands and the reading decreases.
* Changes in the tension with which the meter is pulled to keep it straight, in general all materials bend under the action of gravity, so you have to pull them to make them straight, if the forces are different from the material is lengthened decide Young's modulus, inducing different readings
* Errors in the meter marks, especially in the initial part that is covered by a hook, different positions of the hook change the readings.
* Structural problems, such as rust, bends that create changes in the length of the meter material.
Gamma rays have the shortest wavelength. True or False
Answer:true
Explanation:
Answer:
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Three identical resistors have an equivalent resistance 15.6 ohm when they are connected in series. What is the resistance for each resistor
Answer:
5.2 Ω.
Explanation:
What is the resistance for each resistor
Since the resistors are connected in series and each have resistance R, and their equivalent resistance is R' = 15.6 Ω.
Since they are connected in series, R' = R₁ + R₂ + R₃
Since R₁ = R₂ = R₃ = R
R' = R + R + R = 3R
R' = 3R
R = R'/3
R = 15.6 Ω/3
R = 5.2 Ω
So, the resistance of each resistor is 5.2 Ω.
Coulomb's Law says that the forces between any two charges depends ___________.
Question 7 options:
A. Directly on the size of the charges
B. Inversely on the square of the distance between the charges
C. Directly on the square of the distance between the charges
D. A&B
E. A/C
Coulomb's Law says that the forces between any two charges depends directly on the size of the charges and inversely on the square of the distance between the charges. The correct option is D. A & B
Coulomb's lawFrom the question, we are to determine the correct option.
First, we will state Coulomb's law.
Coulomb's law states that the electrical force between two charged objects is directly proportional to the product of the quantity of charge on the objects and inversely proportional to the square of the separation distance between the two objects
That is,
[tex]F \propto \frac{Q_{1} Q_{2} }{r^{2} } [/tex]
Where F is the electrical force
[tex]Q_{1} \ and \ Q_{2}[/tex] are the charges
r is the distance between the objects
From the law, we can observe that the forces depends directly on the size of the charges - Option A
and the forces also depends inversely on the square of the distance between the charges - Option B
Hence, the correct option is D. A & B
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Please define newtons 1st law of motion.
Explanation:
Newton's first law states that, if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
If you use a hair dryer, what type of electrical transformation is this?
{blank] energy to [blank] energy
Answer:
I think it electrical energy to kinetic energy
Calcule how long it takes a sound wave to travel trough 1.0km of water at 0C
Answer:
Explanation:
25.0 m/s
HOW does phenomenon/event IMPACTS or INFLUENCES the population and/or environment of the surrounding area
Answer:
Kindly check explanation
Explanation:
Our environment consists of various materials, structures and resources which are so naturally interrelated, the survival of a certain species depends on the wellbeing of the other. This could be buttressed from the definition of environment which simply means the entirety of factors, naturally occurring phenomenon around us. The pollution of the air affects the oxygen we breathe in due to contamination ad thus affects the health of those who Live within the affected area. Change in climatic condition, vegetation and other phenomenon will always affect the environment since the environment itself isn't just humans being but the entirety of conditions both natural occurring and others which keeps the live and the world in existence.
A 6000 kg African elephant walks 13 meter
around the park. Determine the acceleration of
an African elephant in m/s2 if it has a work
done of 500J.