a) The value of α = 2.30 [rad/s²]
b) The value of τ = 0.00943 Nm.
A) We can use the formula for torque τ = Iα, where I is the moment of inertia and α is the angular acceleration. Since the disk has uniform mass distribution, we can use the formula for moment of inertia of a solid disk rotating about its center:
I = (1/2)MR²,
where M is the mass of the disk and R is the radius.
We can find R by dividing the diameter by 2:
R = 19.6 cm / 2
= 0.098 m.
The mass of the disk is not given, so we cannot calculate the moment of inertia directly. However, we are given the linear acceleration a of a mass dropped from rest on the disk. If we assume that the disk rotates as a result of the torque from the falling mass, we can relate the linear acceleration a to the angular acceleration α by the formula a = Rα. Solving for α, we get:
α = a/R
= 0.225 [ms⁻²] / 0.098 [m]
= 2.30 [rad/s²]
Therefore, α is 2.30 [rad/s²].
B) Now that we have found α, we can use the mass of the dropping object and the formula for torque τ = Iα to calculate the torque. The moment of inertia I is still (1/2)MR², and we can find M by dividing the mass of the dropping object by the fraction of the mass that is expected to be accelerated, which is (1/2) since the mass is dropped at the edge of the disk.
So, M = 2m
= 2(0.210 kg)
= 0.420 kg.
Putting this all together, we get:
τ = Iα
τ = (1/2)MR² α
τ = (1/2)(0.420 kg)(0.098 m)²(2.30 [rad/s²])
τ = 0.00943 Nm
Therefore, τ is 0.00943 Nm.
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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.
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Let the displacement function of a particle is x(t)=(20t^2-15t+200). Find the total displacement, instantaneous velocity and instantaneous acceleration
Answer:
A.) 39.5 m
B.) 0
C.) 60m/s^2
Explanation:
Given that a displacement function of a particle is x(t)=(20t^2-15t+200).
To Find the total displacement,
Reduce everything by dividing them by 5
X(t) = 4t^2 - 3t + 40 ...... (1)
For instantaneous velocity, differentiate x(t). That is,
dy/dt = 60t - 15 ...... (2)
But dy/dt = velocity.
If dy/dt = 0, then
60t - 15 = 0
60t = 15
t = 15/60
t = 0.25s
Substitutes t in equation (1)
Total displacement will be
X(t) = 4(0.25)^2 - 3(0.25) + 40
X(t) = 0.25 - 0.75 + 40
Total displacement = 39.5 m
To calculate instantaneous velocity, substitute t into equation (2)
V = 60 (0.25) - 15
V = 0.
and to find instantaneous acceleration, differentiate dv/dt
dv/dt = 60
Therefore, acceleration = 60 m/s^2
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.
Someone Help me please
Answer:
a) Yes because spiderman isn’t part of the system (the train), so he exerts an external force on the system, causing it to slow. The sign is negative because the train is slowing negative.
b) The train was initially moving, so it had kinetic energy, the energy of movement. There isn’t the same amount anymore because spiderman did work onto the train. Work is defined by the change of kinetic energy of the system, so the train didn’t have the same amount of that type of energy at the end.
I hope this helps! :)
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 .
i’m like kinda bad at physics so ya please help
Answer:
99 joules.
Explanation:
Let m denotes mass of the object and v denotes velocity.
If mass has units of kilograms and the velocity has units of meters per second then the kinetic energy has units of joules.
Kinetic energy is an energy possessed by a body in motion.
Mass (m) = 99 kg
Velocity (v) = 2 m/s
To find kinetic energy, use the following formula:
Kinetic energy = [tex]\frac{1}{2}mv^2=\frac{1}{2}(99)(2)=99[/tex] joules
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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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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A 0.15 kg. baseball flies rightward at 15m/s to hit a tennis ball flying at it from
the opposite direction of 22 m/s. The baseball and the tennis ball have a
final speed of 1.2 m/s and 13 m/s respectively, both to the right.
What is the mass of the tennis ball?
(w/solution)
Give Ideas to create hearing instruments to fix hearing problems in space, as you know sound waves can’t travel through empty space.
According 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.
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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the value of acceleration due to gravity (g) will be maximum at:
.
a) 1/2 of the radius of earth
b) 1/4 of the radius of earth
c) 1/8 of the radius of earth
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.
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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:
a load of 600 kg is lifted by a carne up to 60 meters in 6 minutes . calculate it work and power.
Explanation:
work=force*distance. force=load/10
___________
work=60*60=3600n
power=work/time(seconds)
Powe required is 1000
Explanation:
-Given: M= 600kg H: 60
-Time of operation: t = 6 min = 360 seconds
-Work done in lifting boxes: w= mgh (600 x 10 x 60) = 360,000
-Power required: p=[tex]\frac{w}{t} = \frac{360000}{360} = 1000[/tex]
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.
Calcule how long it takes a sound wave to travel trough 1.0km of water at 0C
Answer:
Explanation:
25.0 m/s
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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:
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
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Answer:
B
Explanation:
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How much heat is required to raise the temperature of 2.0 kg of concrete from 10C to 30C? (The specific heat of concrete is 880 j/kg-C.)
A. 22 J
B. 88 J
C. 8800 J
D. 35200 J
Answer:B
Explanation:
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
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.
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.
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.
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?
ANSWER THE ALL THE QUESTIONS IN THE FOLLOWING FOR 90 POINTS!
25
89
105
99
I don't know. I'm sorry
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