Three objects each have mass m. Each object feels a force from the other two, but not from any other object. Initially the first object is at x=−L, y=0; the second object is at x=+L, y=0; and the third object is at x=0, y=L. The momentum of the system of the particles at the initial time is zero. At a later time the first object is at x=−L/3, y=+L/4; and the second object is at x=+L/2, y=−L. At this later time, where is the third object? Find the x-position of the third object

The final angular velocity of the merry-go-round is 2.805 rad/s.

Substituting the given values into the above equations, we get:

L1 = 86.5305 kgm^2 * 2 rad/s = 173.061 Nms

I1 = 86.5305 kgm^2 + 46.9 kg * (1.5 m)^2 = 184.9265 kgm^2

r = 0.645 m

m = 46.9 kg

Therefore, I2 = I1 - m * r^2 = 53.410 kgm^2

Substituting I1, I2, and ω1 into the equation for angular momentum conservation, we get:

86.5305 kgm^2 * 2 rad/s = 53.410 kgm^2 * ω2

Solving for ω2, we get:

ω2 = (86.5305 kgm^2 * 2 rad/s) / (53.410 kgm^2) = 2.805 rad/s.

Angular velocity is a physical concept used to describe the rate of change of angular displacement of an object over time. Angular displacement refers to the change in the orientation or position of an object relative to an axis, while angular velocity describes the rate at which this change occurs.

Angular velocity is measured in units of radians per second (rad/s) and is calculated as the ratio of the change in angular displacement to the time taken for the change to occur. This means that an object with a higher angular velocity will rotate or move around an axis more quickly than an object with a lower angular velocity. Angular velocity is an important concept in physics and is used in many applications, including in the design of machinery, navigation systems, and robotics.

To learn more about Angular velocity visit here:

brainly.com/question/20432894

#SPJ4

Answer: Both the north and south pole

The cork leaves the spring at a speed of 3.02 m/s.

We can use the conservation of energy to determine the speed at which the cork leaves the spring.

The initial potential energy stored in the spring is converted to the kinetic energy of the cork as it leaves the spring. Neglecting air resistance, the conservation of energy equation is:

(1/2) k x^2 = (1/2) m v^2

where k is the spring constant, x is the distance the spring is compressed, m is the mass of the cork, and v is the speed of the cork as it leaves the spring.

Substituting the given values:

(1/2) * 18 N/m * (7.47 cm / 100 cm/m)^2 = (1/2) * 0.009 kg * v^2

Solving for v:

v^2 = (18 N/m * (7.47 cm / 100 cm/m)^2) / 0.009 kg

v^2 = 9.119 m^2/s^2

Taking the square root of both sides:

v = 3.02 m/s

to know more about conservation of energy refer here:

https://brainly.com/question/2137260#

#SPJ11

The vector from the following options needs to be identified.

The last option 7 miles Northwest is a vector.

A vector is a geometric object that has both magnitude and direction.

For example: Velocity, force, displacement etc.

A scalar is a geometric object that has only magnitude.

For example: Speed, distance etc.

The first three options 7 meters, 0.007 cm and \(7\times 10^6\ \text{m}\) are all distances, with no direction mentioned. So, they are scalar quantities.

The last option is 7 miles northwest has distance as well as direction so it is a vector quantity.

Learn more about vectors:

https://brainly.com/question/25811261

Answer:

67.5

Explanation:

d = (Vo+ v/2)t

d = (150/2)(0.9)

d = 67.5

The index of refraction that halves the wavelength that light has in a vacuum is 2.00. Therefore, the correct option is (d) 2.00.

When light passes from one medium to another, it changes its velocity, and thus its wavelength. The index of refraction is a measure of how much light is bent when passing through a medium and can be calculated using Snell's Law:n1sin θ1=n2sin θ2where n1 and n2 are the indices of refraction of the two media, and θ1 and θ2 are the angles that the light makes with the normal line in the first and second media, respectively.

For a given angle of incidence, we can see that the index of refraction is directly proportional to the sine of the angle of refraction, which means that as the angle of refraction increases, so does the index of refraction. Now, let's assume that light is passing from vacuum (with index of refraction n1=1) to a medium with an unknown index of refraction n2.

To know more about wavelength  visit:-

https://brainly.com/question/31143857

#SPJ11

The provided circuit has a 1 ohm equivalent resistance across its two endpoints, A and B.

If R 3 and R 4 were parallel in R", then the resistance would be 1 ohm.

Calculate R' and R" now:

where R' is one ohm and R" is one ohm

formula: R'+R"=1+1=2 ohm

The other R"' and R"" are likewise calculated in parallel when we do so:

The whole resistance is therefore 1 ohm.

1 ohm is the ultimate response.

Electrical resistance is a force that opposes the passage of current and is hence resistance to electricity. In this sense, it acts as a gauge for the difficulty of current flow. Ohms () are used to measure resistance.

To know more about Resistance visit:

https://brainly.com/question/29427458

#SPJ1

Answer:

1.5= x/30 =X= 30 x 1.5= 45 volts

Explanation:

Answer:

154 N horizontal (to the right) 15.9 N vertical (up)

Explanation:

I got it right :)

In conclusion, the acceleration due to gravity is a crucial aspect of physics that enables us to experience weight on Earth. It has a value of approximately 9.81 m/s² near sea level. One of the ways to estimate it is by using a pendulum.

The acceleration due to gravity refers to the acceleration an object experiences as a result of the force of gravity. It is one of the most fundamental physical concepts in existence. The acceleration due to gravity is generally represented as “g,” and it varies depending on the planet or moon in question as well as the object’s distance from the object in question. When on Earth, the acceleration due to gravity is roughly 9.81 m/s² near sea level. This acceleration due to gravity is what enables us to stay on the planet and experience weight when we stand or sit on the ground. The value of the acceleration due to gravity may be determined by using a number of methods. One common approach is to use a pendulum. The formula for determining the acceleration due to gravity is g = (4π²L)/T², where L is the length of the pendulum and T is the time it takes for one full swing. Using this equation, it is possible to estimate the acceleration due to gravity for any planet or moon where there is a pendulum.

to know more about acceleration due to gravity visit:

https://brainly.com/question/29135987

#SPJ11

Answer:

if there is only one planet in the universe and the ball is there it will have 0 kinetic energy if the ball is in the very center of that planet only if the planet itself is absolutely motionless. its at its highest if the planet is moving away from the ball at a slightly faster speed forever. Between point A and B both potential energy and kinetic energy are at perfect 0.

Explanation:

never will have a measurable kinetic or potential energy status unless every single object is included in the calculation.

Answer:

1. The wave created is a transversal wave because the medium goes up and down. (I used what someone put in the comments because it's correct.)

2. 20 Meters

3. 60 Hz (Hertz)

4. 1200m/s

Explanation:

Not sure if all of this is correct, but I did this assignment so..

Please mark me brainliest. I answered all questions.

Answer:

I think milligram is the correct answer.

Answer:

D. milliliter

Explanation:

Took it on usatestprep

Answer: The  Answer Is A

Explanation:

When a positive charge travels to the right near a wire carrying a current to the right, the force exerted by the charge on the wire, based on Newton's third law, will be directed downwards.

The direction of the force exerted by the charge on the wire is determined by the magnetic field produced by the current-carrying wire. Using the right-hand rule, the magnetic field will be in a circular pattern around the wire. In this case, the magnetic field at the location of the positive charge will be directed into the plane (or page).

The force on the positive charge, according to the Lorentz force equation (F = q(v x B)), will be upwards (perpendicular to both the velocity of the charge and the magnetic field). Therefore, the force exerted by the charge on the wire, based on Newton's third law, will be directed downwards.

More on force and direction: https://brainly.com/question/20620211

#SPJ11

A force of 10N was applied to the ball by the bowler.

A force is any interaction that, when unopposed, will change the motion of an object. It can be a push or a pull. What are the Effects of Force?

Typically, motion can either be described as:

It is determined by the formula; F = ma

Where m = mass

a = acceleration

From the question;

m = 5kg

a = 2m/s2

F = ma

F = 5 x 2

F = 10N

Hence, the bowler applied a force of 10N to the ball.

Learn more about force:https://brainly.com/question/12785175

#SPJ1

If the right safety measures are implemented, explosives can be transported across great distances without blowing up since they need a precise combination of circumstances to detonate. A particular temperature, pressure, and confinement are some of these conditions. The explosive won't go off if these requirements are not met.

Explosives are kept in specialized containers during transit in order to prevent accidental detonation owing to environmental conditions like heat, shock, or pressure. The containers are made to keep the explosive from coming into contact with anything else that might set it off.

Additionally, the transportation of explosives is strictly regulated and subject to tight safety guidelines. These safety precautions guarantee that explosives are handled, transported, and stored safely to reduce the possibility of unintentional detonation.

Transporting explosives still entails inherent dangers, thus it should only be done by skilled experts who are aware of the necessary safety procedures and potential hazards.

learn more about explosives here

https://brainly.com/question/31414548

#SPJ1

The velocity of the child and the boat after throwing the rock is 0.705 m/s in the opposite direction of the rock.

Let us solve the given problem by the application of the law of conservation of momentum. Since the system was at rest initially, therefore, its momentum before throwing of the rock is zero.Now let's see the momentum of the system after throwing of the rock. According to the law of conservation of momentum,The total momentum of the system remains conserved and zero. Hence the momentum of the boat and the child will be equal and opposite to the momentum of the rock.momentum of the rock = mvwhere,m = 5.61 kgv = 10.5 m/smomentum of the rock = 5.61 × 10.5 = 58.965 N sAs per the law of conservation of momentum, the total momentum of the system remains conserved and zero.After throwing the rock, the momentum of the boat and the child in the opposite direction is given by;momentum of the boat and the child = 58.965 N sBut the child and the boat were at rest initially, so their momentum was zero.Therefore, the momentum of the child and the boat together after throwing the rock is equal and opposite to the momentum of the rock.The momentum of the child and the boat is given by;momentum of the child and the boat = - 58.965 N s (opposite direction)We know that momentum is the product of mass and velocity.i.e., p = mvWhere, p = momentumm = massv = velocityThe mass of the child is m1 = 30.5 kgThe mass of the boat is m2 = 53 kg The mass of the child and the boat is given by; m1 + m2 = 30.5 + 53 = 83.5 kgLet the velocity of the child and the boat be V. Therefore the momentum of the child and the boat is given by;Momentum of the child and the boat = (m1 + m2)VLet's apply the principle of the law of conservation of momentum to calculate the velocity of the child and the boat after throwing the rock. The momentum of the rock before throwing = momentum of the rock after throwing. The momentum of the child and the boat before throwing = the momentum of the child and the boat after throwing. Therefore, the equation will be;momentum of the rock before throwing = momentum of the child and the boat after throwing

5.61 × 0 = (m1 + m2)V + (-58.965)83.5V = 0.705 m/s.

Learn more about velocity here :-

https://brainly.com/question/30559316

#SPJ11

The spectrum observed from the Sun (or any star) would exhibit an absorption spectrum. This is because the outer gaseous atmosphere of the star absorbs specific wavelengths of light, resulting in dark absorption lines in the spectrum.

In the cooler, lower-density outer atmosphere, where white light from the star travels, some atoms or molecules in the atmosphere absorb photons with particular energy. In the spectrum, these absorptions show up as black lines at specific wavelengths. The specific set of absorption lines that each element or molecule generates results in a distinctive pattern that can be used to identify the elements that are present in the star's atmosphere.

The absorption spectrum offers insightful data on the chemical make-up and physical characteristics of the star. Astronomers can ascertain the elements present, their abundances, and other characteristics like the temperature, pressure, and velocity of the star's atmosphere by examining the absorption lines.

To know more about absorption spectrum here https://brainly.com/question/10252035

#SPJ4

The full cycle of moon phases averages 29.531 days. A quarter of that is 7.38 days. So "7 days" is a pretty good approximation for casual conversation. It's true.

Answer:True

Explanation:

The full cycle of the moon is 29.631 or we could say 29.5 and the quarter is 7.34 I think so yes it’s true it’s appropriately a full average and if you subtract this two it true

Answer:50mph

Explanation:

Given data

*The weight of the box is W = 500 N

*The distance of the plank from the fulcrum is d = 5 m

*The given force at a distance from the fulcrum is D = 10 m

The minimum force is required to lift the box is given by the net torque as

Substitute the known values in the above expression as

Hence, the minimum force is required to lift the box is F = 250 N

Answer:

down below in image

Explanation:

The magnitude of the electric field is approximately 46,822 N/C.

To find the magnitude of the electric field, we can use the equation:

E = F / q

Where:

E is the electric field strength

F is the force acting on the mass

q is the charge on the mass

Given:

Mass (m) = 43 grams = 0.043 kg

Charge (q) = 9 μC = 9 × 10^(-6) C

Gravity (g) = 9.8 m/s² (acceleration due to gravity)

The force acting on the mass is the gravitational force:

F = m g

Substituting the values:

F = 0.043 kg × 9.8 m/s²

F = 0.4214 N

Now  calculate the electric field strength:

E = F / q

E = 0.4214 N / 9 × 10^(-6) C

E = 46,822 N/C

Therefore, the magnitude of the electric field is approximately 46,822 N/C.

To know more about magnitude

https://brainly.com/question/31022175

#SPJ2

Answer:

Even in space, objects have mass. And if they have mass, they have inertia. That is, an object in space resists changes in its state of motion. A force must be applied to set a stationary object in motion.

Answer:

Both vehicles experience the same change in momentum

Explanation:

Let m represent the mass of the vehicle, and 2m represent the mass of the large truck, and let v represent their initial speed, we have;

The total initial momentum, \(p_i\) given as follows;

\(p_i\) = 2·m·v - m·v = m·v

The total final momentum, \(p_f\) = (2·m + m) × \(v_f\)

By the principle of conservation of linear momentum, the total initial momentum = The total final momentum

m·v = (2·m + m) × \(v_f\)

m·v = 3·m·\(v_f\)

∴ v = 3 × \(v_f\)

\(v_f\) = v/3

The change in the momentum for the large truck = 2·m·v - 2·m·\(v_f\)

Therefore;

The change in the momentum for the large truck = 2·m·v - 2·m·v/3 = 2·m·(v - v/3)

The change in the momentum for the large truck = 2·m·(v - v/3) = 2·m·2·v/3 =  4·m·v/3

The change in the momentum for the car = m·v - m·(-\(v_f\)) = m·v - m·(-v)/3 = m·v + m·(v)/3 = 4·m·v/3

Therefore, the change in the momentum for the large truck = The change in the momentum for the car and both vehicles experience the same change in momentum.

Answer:

\(9.5\; {\rm m}\).

Explanation:

Let \(u\) and \(v\) denote the velocity of this hockey player before and after stopping, respectively. The question states that \(u = 9.5\; {\rm m\cdot s^{-1}}\) and implies that \(v = 0\; {\rm m\cdot s^{-1}\) since the hockey player has come to a stop.

The duration of this acceleration is \(t = 2\; {\rm s}\).  

Since the acceleration of this hockey player was constant, SUVAT equation would apply. In particular, the SUVAT equation \(x = (1/2)\, (v + u) \, (t)\) gives the displacement \(x\) of this hockey player during that \(2\; {\rm s}\) of acceleration:

\(\begin{aligned} x &= \frac{1}{2}\, (9.5\; {\rm m\cdot s^{-1}} + 0\; {\rm m\cdot s^{-1}})\, (2\; {\rm s}) = 9.5\; {\rm m} \end{aligned}\).

In other words, this hockey player would have travelled \(9.5\; {\rm m}\) while stopping.