Answer:
Initial angular position of the disc is 3 radian
Explanation:
As we know that the angular acceleration of the disc is given as
[tex]\alpha = 0.50 rad/s^2[/tex]
initial angular speed is given as
[tex]\omega = 1 rad/s[/tex]
now we know that angular displacement of the disc is given as
[tex]\theta = \omega t + \frac{1}{2}\alpha t^2[/tex]
[tex]\theta = 1(2) + \frac{1}{2}(0.5)(2^2)[/tex]
[tex]\theta = 3 rad[/tex]
now we have
[tex]\theta_f - \theta_i = 3 rad[/tex]
[tex]6 rad - \theta_i = 3[/tex]
[tex]\theta_i = 3 ard[/tex]
Final answer:
To find the initial angular position of the disk, we used the kinematic equation for rotational motion and the given values (angular acceleration, initial angular velocity, and final angle) to calculate that the disk's angular position when the acceleration started was 3.0 rad.
Explanation:
The problem is asking us to find the angular position of the disk when it started accelerating. Since we know the angular acceleration, the initial angular velocity, and the final angular position, we can use the kinematic equations for rotational motion to determine the initial angular position.
The kinematic equation we'll use is:
[tex]\( \theta = \theta_0 + \omega_0t + \frac{1}{2}at^2 \)[/tex],
where [tex]\(\theta\)[/tex] is the final angular position,[tex]\(\theta_0\)[/tex] is the initial angular position, [tex]\(\omega_0\)[/tex] is the initial angular velocity, [tex]\(a\)[/tex] is the angular acceleration, and [tex]\(t\)[/tex] is the time.
Given:
[tex]\(\theta = 6.0 \text{ rad} \)[/tex] (final angular position),
[tex]\(\omega_0 = 1.0 \text{ rad/s} \)[/tex] (initial angular velocity),
[tex]\(a = 0.50 \text{ rad/s}^2 \)[/tex] (angular acceleration), and
[tex]\(t = 2 \text{ s} \)[/tex] (time).
We rearrange the equation to solve for [tex]\(\theta_0\)[/tex]:
[tex]\(\theta_0 = \theta - \omega_0t - \frac{1}{2}at^2 \)[/tex]
Plugging in the values:
[tex]\(\theta_0 = 6.0 \text{ rad} - (1.0 \text{ rad/s} \cdot 2 \text{ s}) - \frac{1}{2} \cdot 0.50 \text{ rad/s}^2 \cdot (2 \text{ s})^2 \)[/tex]
[tex]\(\theta_0 = 6.0 \text{ rad} - 2.0 \text{ rad} - 0.50 \cdot 2 \text{ rad} \)[/tex]
[tex]\(\theta_0 = 6.0 \text{ rad} - 2.0 \text{ rad} - 1.0 \text{ rad} \)[/tex]
[tex]\(\theta_0 = 3.0 \text{ rad} \)[/tex]
So the disk's angular position when the acceleration started was 3.0 rad.
Bumper car A(281 kg) * m * c moving +2.82 m/s makes an elastic collision with bumper car B (209 kg) * m * c moving - 1.72 m/s . What is the velocity of car A after the collision ?
The final velocity of the car A after collision is 1.884 m/s.
Explanation:
As per law of conservation of energy, the momentum of objects before collision is tend to be same for the momentum of objects after collision, in case of elastic collision.
So, from those equation, we can derive the final velocities for both the objects after collision.
[tex]v_{1} = \frac{m_{1}- m_{2} }{m_{1} + m_{2} } u_{1}+ \frac{ 2*m_{2} }{m_{1} + m_{2} } u_{2}[/tex]
[tex]v_{2} = \frac{2*m_{1} }{m_{1} + m_{2} } u_{1}+ \frac{ m_{2}- m_{1} }{m_{1} + m_{2} } u_{2}[/tex]
So if we consider the car A is having a mass m1 which is equal to 281 mc kg with initial velocity before collision as u1 = 2.82 m/s. And then the car B will be having the mass m2 equal to 209 mc kg with the velocity of 1.72 m/s. So if the final velocity of car A after collision is required to determine then we have to solve the formula for v1
[tex]v_{1} = \frac{m_{1}- m_{2} }{m_{1} + m_{2} } u_{1}+ \frac{ 2*m_{2} }{m_{1} + m_{2} } u_{2}[/tex]
[tex]v_{1} = \frac{281- 209 }{281 + 209} } * 2.82+ \frac{ 2*209 }{281+209}*1.72[/tex]
[tex]v_{1} = \frac{72 }{490} } * 2.82+ \frac{ 418 }{490}*1.72[/tex]
[tex]v_{1} = 0.414+1.47=1.884[/tex]
So the final velocity of the car A after collision is 1.884 m/s.
What is the approximate terminal velocity of a sky diver before the parachute opens
Answer:
The approximate terminal velocity of a sky diver before the parachute opens is 320 km/h.
Explanation:
The terminal velocity is the maximum magnitude of velocity that is attained by the diver when he or she falls in the air. The terminal velocity of the person diving in air before opening parachute is 320 km/h that means the velocity when the person is experiencing free fall is 320 km/h.During terminal velocity, we can represent mathematical equation as;Buoyancy force + drag force = Gravity
In a building with 10.000 cubic feet where the air changes every two hours, what the rate of air change? A. 167.7 cfm B. 83.3 cfm C. 133.3 cfm D. 50 cfm
Answer:
Flow rate of air is given as 83.33 cubic feet per minute
Explanation:
As we know that total volume of the air flow is given as
[tex]V = 10,000 cubic feet[/tex]
also we know that total time is
[tex]t = 2 hours = 120 min[/tex]
now we have flow rate given as
[tex]Q = \frac{V}{t}[/tex]
[tex]Q = \frac{10000}{120}[/tex]
[tex]Q = 83.3 cf/m[/tex]
a force does 30000 J of work along a distance of 9.5m. Find the applied force.
Answer: F=3158N
Explanation:
Work is the product of force applied and the distance the object moves along the force applied. Work is measured in joules and the equation is as follows
W = F x d
So that F = W/d
F = 30000 J / 9.5m
F = ~3158 N
Final answer:
The applied force can be found using the work equation. Given that 30000 J of work was done over 9.5 m, the force is approximately 3157.89 N.
Explanation:
To find the applied force, we can use the equation for work, which is Work (W) = Force (F) × Distance (d). We were given the work done as 30000 J (joules) and the distance as 9.5 m (meters). Re-arranging the equation to solve for Force gives us F = W / d.
Plugging in our known values, we get:
F = 30000 J / 9.5 m
F = 3157.89 N (rounded to 2 decimal places)
Therefore, the applied force is approximately 3157.89 N (newtons).
A 2-kg toy car is held at a height of 3.75 m above the floor. How much work is done
Answer:
work = 0
Explanation:
Let's remember that work is defined as the product of a force by a distance. Distance is the physical path displaced by the body under the action of that force.
W = F * d
where:
W = work [J]
F = force [N]
d = distance [m]
In this case, the toy is held at a height, there is no displacement from one point to another. So there is no work and this is equal to zero.
W = (2*9.81) * 0 = 0 [Joules]
Answer:
NO work is done on or by the object
Explanation: I go to school
Pouring water on yourself and drying naturally (vs. toweling off) cools you
because
O
A. the thermal energy of the water is decreasing.
O
B. the water is colder than you are.
O
C. the water is using heat to undergo a phase change.
O
D. the water's latent heat of vaporization is being pulled from your
body.
C. The water is using heat to undergo a phase change and
D. The water's latent heat of vaporization is being pulled from your body.
Explanation:
As per the Thermodynamics, to attain equilibrium, the heat always travel to cold and also high energy particle moving towards the lower energy side.
Here water we pour on our self getting dried naturally before we toweling off.
It is due to the water using the heat to gradually undergo a kind of phase change and also the latent heat of vaporization is being pulled from our body.
You want to practice running 50 m sprints for an upcoming race. However,
you are practicing on a football field with distances marked in yards. How
many yards are equivalent to 50 m? (1 m = 1.0936 yd)
O A. 46 yd
O B. 80 yd
O c. 55 yd
O D. 49 yd
Possible reasons why seascorpions went extinct
A charge of 8.5 × 10–6 C is in an electric field that has a strength of 3.2 × 105 N/C. What is the electric force acting on the charge?
2.72 N
Explanation:
Step 1:
From the basic formula in electrostatics
F = E * q
where F = Force due to charges
E = Electric field strength
q = Charge
Step 2:
From the given question
q= [tex]8.5*10^{-6} C[/tex]
E = [tex]3.2 * 10^{5} N/C[/tex]
F = [tex]8.5 * 10^{-6} * 3.2 * 10^{5} = 2.72[/tex] N
Answer:
B
Explanation:
E2020
A box sliding down a hill going 3m/s accelerates at 2m/s2. How fast is going after 4 seconds.
Answer: the speed after 4seconds is 11m/s
Explanation:
Which agents contribute to erosion? Check all that apply.
Answer:
Moving water
Ice and glaciers
humans and animals
Explanation:
Erosion is the removal of weathered materials from the surface of earth. It is one of the processes that sculpts the surface of the earth due to its unique earth moving capabilities.
Moving water is one of the most important agent that leads to erosion. As water moves, it carries materials in different form. It can be as bed load for sediments of large sizes, suspended load for medium and fine grains and as solution for solvable materials. Ice and glaciers are prominent agent of erosion in polar and temperate regions. Glacier carries weathered materials by trapping them. Humans and animals through their activities contributes significantly to erosion too.The main agents that contribute to erosion include water, wind, ice(glaciers), and gravity. They each shape the earth's landscape in distinct ways such as through water erosion, wind erosion, glacial erosion, and erosion caused by gravity.
Explanation:There are several agents that significantly contribute to erosion, a common geologic process. The main agents of erosion include water, wind, ice(glaciers), and gravity. Water erosion occurs when moving water such as rain, rivers, or ocean waves wear down the earth's surface. Wind erosion happens especially in dry, bare areas where loose soil can be easily picked up by the wind. A glacier's movement can erode the land through a process called glacial erosion. Lastly, gravity contributes to erosion through landslides and rockfalls, where rocks and soil are pulled down by gravity. Each of these agents shape the earth's landscape in different ways.
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from fastest to slowest, rank the speeds of the ball 1 second after being thrown.
ball A) weight of 1.8kg, travels at 7 m/s
ball B) weight of 0.1kg, travels at 11 m/s
ball C) weight of 3.1kg, travels at 4 m/s
Answer:the awnser is c
Explanation:
Awnser
Answer:
C
Explanation:
How do electrons and protons differ in their electric charge?
Answer:opposite sign, but same magnitude
Explanation:
A light bulb is supplied with 100 J of energy each
second.
a How many joules of energy leave the bulb
each second in the form of heat and light?
b If 10 J of energy leave the lamp each second
in the form of light, how many joules leave
each second in the form of heat?
Answer:
a.95J
b.90J
Explanation:
a.Applying energy conservation laws:-
Energy Into Bulb=[tex]Light \ Energy+Thermal \ Energy(Heat \ Energy)[/tex]
Given that light energy=5J,and Total Energy=100J
[tex]Heat \ Energy= \Total \ Energy- Light \ Energy\\=100J-5J=95J[/tex]
b. Applying the laws in a above.
Total Energy=100J
Light Energy=10J
[tex]Heat \ Energy=100J-10J=90J[/tex]
The amount of property that is needed by a body or an object to work is called energy. It is conserved and can only be transferred from one object to another. It is estimated in Joules, calories or kW -h.
The energy that leaves the lamp is a. 95 J and b. 90J.
This can be estimated as:
a. According to the conservational law of energy:
[tex]\rm Energy \;in \;the\; bulb = Light \;Energy + Heat\; Energy[/tex]
Given,
Light Energy = 5 JTotal Energy = 100 JSubstituting values in the equation:
[tex]\begin{aligned}\text{ Heat Energy} &= \text{Total Energy - Light Energy} \\&= 100 - 5 \\&= 95 \text{J} \end{aligned}[/tex]
b. Applying the same law:
Given,
Total energy = 100 JLight energy = 10 JSubstituting values:
[tex]\begin{aligned} \text{Heat Energy } & = 100 - 10 \\& = 90 \text{J} \end {aligned}[/tex]
Therefore, energies released are a. 95 J and b. 90J.
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Which most likely could cause acceleration?
Select four options.
A. a flat road
B. wind
C. water movement
D. a hill
E. a stop light
Answer:
A few examples of acceleration are the falling of an apple, the moon orbiting around the earth, or when a car is stopped at the traffic lights. Through these examples, we can understand that when there is a change in the direction of a moving object or an increase or decrease in speed, acceleration occurs. Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation a = Δv/Δt. This allows you to measure how fast velocity changes in meters per second squared (m/s^2). Acceleration is also a vector quantity, so it includes both magnitude and direction.
Explanation:
Acceleration can be caused by a hill, wind, water movement, and a stop light.
Explanation:The options that would most likely cause acceleration are a hill, wind, water movement, and a stop light.
A hill causes acceleration when an object rolls down due to the force of gravity. Wind can cause acceleration if it pushes an object. Water movement can cause acceleration if it exerts a force on an object. Finally, a stop light can cause acceleration when a car goes from a stationary position to moving quickly when the light turns green.
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A right triangle with base labeled Vector J = 6, the height labeled Vector K = unknown and the hypotenuse labeled Vector L = 10 meters. What is the magnitude of vector K
Answer:
K = 8
Explanation:
The magnitude of k can be found using Pythagoras theorem.
Given hypotenuse L = 10
J = 6
K = ?
L^2 = J^2 + k^2
Therefore
10^2 = 6^2 + k^2
10 x 10 = 6 x 6 c k^2
100 = 36 + k^2
Subtract 36 from both sides
100 - 36 = 36 - 36 + k^2
64 = k^2
K^2 = 64
K = squared root of 64
K = 8
without fluid friction, all objects accelerate at?
Answer:
Acceleration of gravity=[tex]9.8m/s/s[/tex]
Explanation:
Newton's Second Law-acceleration is proportional to the net force acting on an object.
All objects usually free fall at the same acceleration of [tex]9.8m/s/s[/tex]-this regardless of their mass. This acceleration is known as acceleration of gravity.
What is the mass of an object that weighs 720 N on the surface of the earth?
Answer:73.47kg approximately
Explanation:
Weight(w)=720N
Acceleration due to gravity(g)=9.8m/s^2
Mass(m)=?
Mass=w/g
Mass=720/9.8
Mass=73.47kg approximately
To determine the mass of an object with a weight of 720 N, use the formula w = mg and divide the weight by Earth's gravitational acceleration, yielding a mass of 73.47 kilograms.
Explanation:To find the mass of an object that weighs 720 N on the surface of Earth, we can use the formula for weight, which is w = mg, where w is weight in newtons, m is mass in kilograms, and g is the acceleration due to gravity in meters per second squared (m/s²). On Earth, g = 9.80 m/s².
Starting with the weight equation:
Therefore, the mass of the object on Earth is 73.47 kilograms.
A student needs help completing an energy transfer diagram for a ceiling fan. Which BEST fills in the blanks labeled M and N to describe the transfer of energy
The M and N represents the electrical and kinetic energy, respectively.
Explanation:
As the law of conservation of energy states that energy can neither be created nor be destroyed, it can only be transferred from one form of energy to another. So in the case of ceiling fan, the electrical energy which is used to switch on the fan, is transferred as the kinetic energy of the blades of the fan for its working. Thus, the energy transfer diagram will show the transfer of electrical energy to kinetic energy.
So, the M and N in the energy transfer diagram will represent electrical and kinetic energy, respectively.
Answer: c) N= electrical energy and M= kinetic energy
Explanation:
The options are:
a) N= electrical and M= potential energy
b) N=light energy and M= electrical energy
c) N= electrical energy and M= kinetic energy
d) N= mechanical energy and M= electrical energy
In the ceiling fan we have:
We have that for a ceiling fan:
When we turn it on, we allow electrical current to flow into the fan system.
That electrical current is used to move the blades of the fan, in this way creating a wind current. As you may know, the energy of the movement is called kinetic energy.
So we have that the conversion here is Electrical energy into Kinetic energy, so the correct option is c.
If 600 J of work is done in 38, what is the power?
If 600 J of work is done in 38 hours, the power is 0.00439 watt.
1 what is global climate change.
2 consequences and the way forward
Answer:
Global climate change is an average long-term changes over the entire Earth in temperature, weather etc.
Explanation:
Climate change is the variation in climate than an average situation. This may include the change in rainfall patterns or weather patterns.This change is due to various reasons and has been affecting across the globe.Global warming is the main effect of climate change. Due to global warming, the temperature of the earth is constantly increasing. Rising sea levels, shrinking mountain glaciers, variation in the season's timing, etc are the consequences of global climate change.Noe the time has come that everyone should be dead serious to this matter. We should lessen the use of toxic chemicals and burning fuels. The tiny contribution from every individual sums up as a great help to reduce the problem.PNEWTON
What is the ist law of motion?
Answer:
Newton's First Law states that an object will remain at rest or in uniform motion in a straight line unless acted upon by an external force. It may be seen as a statement about inertia, that objects will remain in their state of motion unless a force acts to change the motion.
Explanation:
mark brainliest answer please
When you're asked to calculate moments and torque, what's the main difference in calculation? Also what is a couple?
Answer:
a) Explanation below. b) Explanation below
Explanation:
Torque is defined as the product of a force by a radius, while momentum is defined as the product of force by a distance. Mathematically we would have
T = F * r
M = F * d
where:
T = torque = [N*m]
M = moment = [N*m]
F = force =[N]
d = distance [m]
r = radius [m]
Although they have the same units, the difference between them is the application. For the case of torque this is always applied in parts that are in rotation, such as the shafts of cars, the shafts of pumps, torque in gears and etc. While the moment can be applied to a body without the need for it to rotate.
A couple, is as its name suggests a couple of forces of equal magnitude but opposite sense and do not share a line of action. A body under the action of a couple of forces tends to rotate the body without moving it from one point to another.
What was happening to the can and the particples inside the can? (step by step in the vid attatched)
Experiment: Air Pressure Can Crush
Answer:
See the answer below.Explanation:
The picture shows a crushed can inside a bowl with iced water.
This experiment consists on pouring a small amount of water inside a can, heating the can directly on a kitchen burner, using a heat insulating clamp, and placing the can with the open end face down in a bowl with iced water.
What was happening to the can and the particles inside the can?The particles inside the can, when heated on the kitchen burner will expand, since the heat supplied increases the kinetic energy of the particles vigorously. Since the can is open, the pressure inside the can equals the pressure outside the can (the atmospheric pressure).
When the can is put face down in contact with the iced water, the air inside the can will cool down rapidly, causing the pressure (according to Boyle's law) to decrease quickly.
Now, there will be a huge difference between the atmospheric pressure and the pressure inside the can, which will generate a net force pointing radially toward the can strong enogh to crush the can.
A balloon has a volume of 18.0-L at a pressure of 87.6 kPa. What will be the new volume when the pressure is 48.2 kPa?
Answer:
32.71 L
Explanation:
We can solve this question using Boyle's law of ideal gas. The law states that the volume and pressure are inversely proportional when the temperature is constant. At first, the volume is 18L (V1) and the pressure is 87.6 kPa(P1). Then the pressure changed into 48.2 kPa(P2). We are asked to find the volume(V2).
The calculation will be:
P1 * V1= P2 * V2
87.6 kPa *18L = 48.2 kPa * V2
V2= 87.6 kPa *18L / 48.2 kPa
V2=32.71 L
The distance xm travelled by a particle in time t seconds is described by the equation x = 10 + 12tsquare, Find the average speed of the particle between the time interval t = 2s and t = 5s
A. 60 ms-1
B. 72 ms-1
C. 84 ms-1
D. 108 ms-1
After 2 seconds the particle will be in position
[tex]x(2)=10+12\cdot 2^2=10+12\cdot 4=10+48=58[/tex]
After 5 seconds the particle will be in position
[tex]x(5)=10+12\cdot 5^2=10+12\cdot 25=10+300=310[/tex]
So, the particle will travel
[tex]310-58=252[/tex]
meters in 3 seconds, for an average speed of
[tex]\dfrac{252}{3}=84[/tex]
Final answer:
The average speed of the particle between t = 2s and t = 5s, using the function x = 10 + 12t^2, is calculated by finding the total distance traveled in that time frame and dividing it by the time elapsed, which gives an average speed of 84 m/s. So the correct option is C.
Explanation:
To find the average speed of a particle between time t = 2s and t = 5s using the equation x = 10 + 12t2, we need to calculate the total distance travelled by the particle over that time period and then divide by the total time elapsed.
First, we calculate the distance travelled at t = 2s: x(2) = 10 + 12(22) = 58m.Next, we calculate the distance travelled at t = 5s: x(5) = 10 + 12(52) = 310m.The total distance Δx travelled between 2s and 5s is: Δx = x(5) - x(2) = 310m - 58m = 252m.The total time Δt is: Δt = 5s - 2s = 3s.Finally, the average speed vavg is: Δx/Δt = 252m/3s = 84m/s.Therefore, the correct answer is C. 84 ms-1.
What is the kinetic energy of a 7.26kg bowling ball Thai is rolling at a speed of 2m/s
Answer:14.52joules
Explanation:
Mass(m)=7.26kg
Velocity(v)=2m/s
Kinetic energy=(mv^2)/2
Kinetic energy=(7.26x2^2)/2
Kinetic energy =(7.26x4)/2
Kinetic energy =29.04/2
Kinetic energy =14.52joules
what is the order of magnitude of the speed of light
Answer:
The order of magnitude of speed of light in S.i. units is 8. Therefore c=3×10^8 meter / second.
Explanation:
if a wave has a wavelength of 5 meters and a frequency of 10hz whats the wave speed
Answer:
Wave speed = 50 m[tex]s^{-1}[/tex]
Explanation:
Given
Wavelength = 5 m
Frequency = 10 Hz = 10 [tex]s^{-1}[/tex]
wave speed = ?
We know that all waves have same relationship among wavelength λ, frequency f and speed v , which is given by
v = fλ
Therefore wave speed = 10 [tex]s^{-1}[/tex] x 5 m = 50 m[tex]s^{-1}[/tex]
A group of animals that have similar characteristics that they pass to their offspring is called what
Final answer:
A species is a group of individual organisms that have similar characteristics they pass to their offspring, can interbreed, and produce fertile offspring. These characteristics can include adaptations to their environment and shared physical traits.
Explanation:
The group of animals you are referring to is known as a species. A species is a group of individual organisms that interbreed and produce fertile, viable offspring. They share genetic characteristics that are passed along to their offspring, ensuring they belong to the same species and exhibit similar features such as body size and shape. Members of a species often share adaptations that enhance survival and reproduction within their environment. When observing a species, it's clear that offspring are not exact replicas of their parents but rather a blend of their traits, showing continuous variation. The concept of species is fundamental in understanding biological diversity and the process of inheritance.
For example, all humans belong to the species Homo sapiens and children inherit a combination of traits from their parents. This same principle applies across various animal species, indicating the shared process of genetic transmission and reproduction.