A particle moves along the xaxis. In order to calculate the angular momentum of the particle, you need to know: a) the acceleration of the particle b) the size of the particle c) the point about which the angular momentum is to be calculated d) the rotational inertia of the particle e) the kinetic energy of the particle

During the central and ealastic impact of two spheres, the difference of their velocities before the impact should be greater than the difference of their speeds after impact.

After the impact, energy is lost which might lead to reduction in velocity.

The central and elastic impact of two spheres, the difference of their velocities before the impact is greater than the difference of their speeds after the impact.

ANSWER:

a) Greater than the difference of their speeds after the impact.

Answer:

\(9\:\mathrm{J}\)

Explanation:

Kinetic energy is given by the following equation:

\(KE=\frac{1}{2}mv^2\), where \(m\) is mass in \(\mathrm{kg}\) and \(v\) is velocity in \(\mathrm{m/s}\).

Since the cell phone's mass is given in grams, we need to convert this into kilograms:

\(80\:\mathrm{g}\cdot \frac{1\:\mathrm{kg}}{1000\:\mathrm{g}}=0.08\:\mathrm{kg}\).

Therefore, the kinetic energy of the cell phone is:

\(KE=\frac{1}{2}\cdot 0.08\cdot 15^2=\fbox{$9\:\mathrm{J}$}\).

Explanation:

The gravitational potential at a point in a gravitational field is the work done per unit mass that would have to be done by some externally applied force to bring a massive object to that point from some defined position of zero potential,

Because the weight of the helium gas is less than the weight of the air it has displaced from the volume of the balloon, the helium-filled balloon rises in the atmosphere.

Chemical element helium has the atomic number 2 and the symbol He. It is the first member of the noble gas group in the periodic table and is a colorless, odorless, tasteless, non-toxic, inert, monatomic gas. Its melting point at ordinary pressure is zero, and its boiling point is the lowest of all the elements.

Helium is most commonly used to fill balloons for celebrations and parades since it is a secure, non-flammable gas. Helium, however, is an essential component in numerous industries, including as national security, high-tech manufacturing, medical technology, and scientific research.

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Answer:

The noble gases are located in the 18th group of the periodic table.

Answer:

Neurons

Explanation:

We humans have a nervous system that coordinates our behavior and transmits signals between different parts of our body.

Now, this nervous system contains a lot of nerve cells which we call Neurons. These Neurons have a cell like body and their job is to transmit signals from one part of our body to another.

Thus, the cell is called Neurons.

A.  The motor's speed is approximately 1086 r/min if the field resistance is raised to 50 Ω.

B. The speed of this motor as a function of the field resistance RF is approximately 1086 r/min

A. According to the magnetization curve shown in Figure 8-9, the motor's speed can be calculated by using the following equation:

EA = kϕN, where EA is the back EMF, k is a constant, ϕ is the magnetic flux, and N is the motor speed.

Since the amount of armature current remains constant, the back EMF is also constant.

Therefore, the magnetic flux must also be constant. The magnetic flux is proportional to the field current IF, which can be calculated using Ohm's law:

IF = (250 V - EA)/(RF + R₁)

At the initial field resistance of 41.67 Ω, the field current is IF = (250 V - EA)/(41.67 Ω + 0.03 Ω) = (250 V - EA)/41.70 Ω.

If the field resistance is raised to 50 Ω, then the new field current is IF = (250 V - EA)/(50 Ω + 0.03 Ω) = (250 V - EA)/50.03 Ω.

Since the magnetic flux is constant, we can set the two expressions for IF equal to each other and solve for N:

kϕN/IF1 = kϕN/IF2

N = (IF2/IF1)N1 = (250 V - EA)/(50.03 Ω + 0.03 Ω) * 1103 r/min ≈ 1086 r/min

Therefore, the motor's speed is approximately 1086 r/min if the field resistance is raised to 50 Ω.

B. The speed of the motor as a function of the field resistance RF can be plotted using the same equation used in part A:

N = (250 V - EA)/(RF + R₁ + Radj) * 1103 r/min

where Radj is the resistance of any additional resistance in the circuit. Since the load current is constant, the current through the motor is also constant, so EA is also constant.

Therefore, the speed is inversely proportional to the total resistance in the circuit, which includes the field resistance RF, armature resistance R₁, and any additional resistance Radj.

A plot of the speed as a function of the field resistance is shown in Figure 8-10. As the field resistance increases, the speed of the motor decreases due to the increased total resistance in the circuit. This relationship is linear for this type of constant-current load.

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The magnitude of the resultant vector, representing the actual path of the boat, is approximately 1.42 m/s.

To find the magnitude of the resultant vector, we need to consider the boat's velocity and the velocity of the river. The boat's velocity is given as 0.75 m/s, and the river's velocity is given as 1.2 m/s.

Since the boat is moving in a river, we can think of the boat's velocity as a combination of two velocities: its own velocity and the velocity of the river. The resultant vector represents the actual path of the boat, considering both velocities.

To calculate the resultant vector, we can use vector addition. The magnitude of the resultant vector can be found by taking the square root of the sum of the squares of the boat's velocity and the river's velocity. Mathematically, we have:

Resultant magnitude = √(boat velocity^2 + river velocity^2)

Plugging in the given values, we have:

Resultant magnitude = √(0.75^2 + 1.2^2)

= √(0.5625 + 1.44)

= √2.0025

≈ 1.42 m/s

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The right sphere will acquire an equal and opposite net positive charge to balance the negative charge on the left sphere.

Since the left sphere is attracted to the positively charged rod, it means that the left sphere acquires a temporary negative charge due to induction.

The positive charge on the rod repels electrons in the left sphere, causing them to move away from the rod side and accumulate on the opposite side, resulting in a net negative charge on the left sphere.

According to the principle of charge conservation, the net charge on the system must remain zero. Therefore, the right sphere acquires an equal and opposite net positive charge to balance the negative charge on the left sphere.

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The rate at which the price is increasing is approximately 140.74 dollars per year. The rate of growth given by the coefficient 1.65

The rocking chair's value is given by the equation \(V = 50(1.65t)\)

where V is the rocking chair's dollar worth and t is the number of years since 1975.

To find the rate at which the price is increasing, we need to take the derivative of V with respect to t.

\(dV/dt = 50(1.65)t(ln 1.65)\)

The age since 1975 can be substituted with the value of t. The number of years since 1975 would be t = 2023 - 1975 = 48 if t = 0 represents the year 1975.

In the equation above, t = 48 is substituted, and we obtain:

\(dV/dt = 50(1.65)^48(ln 1.65)\)

Using a calculator:

\(dV/dt = 140.74 dollars/yr\)

Thus, the price is rising at a pace of about 140.74 dollars per year. This indicates that since 1975, the rocking chair's worth has grown by $140.74 year. According to the equation for the rocking chair's value, the value is increasing exponentially with time at a rate provided by the coefficient of 1.65. This implies that the chair's rate of value growth will keep accelerating over time.

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kg m/s

Explanation

Momentum is defined as the amount of motion occurring in something that is moving, or the force that drives something forward to keep it movin, it is the product of the mass of a particle and its velocity

on the SI systems the untis would be

so, replacing

therefore, the answer is

kg m/s

I hope this helps you

1. Calculate the mean/median

The first step is calculating the mean. You can do that by adding all the values in the data set and dividing the resulted sum by the total number of values.

Alternatively, you can calculate the median if you wish to use it instead of the mean. Arrange all numbers in numerical order and count how many there are in total. Then, if the total number is an odd one, divide it by two and round up to find the position of the median. If the total number is even, divide it by two and make an average between the number in that position and the one in the next higher position.

2. Calculate the deviation from the mean

After calculating the mean, you can calculate the deviation from the mean for each value in the data set. Calculate the difference between the previously calculated mean and each value in the data set and write down the absolute value of the resulting numbers. The absolute value of a number is its modulus or non-negative value. Since the direction of each variation is irrelevant when calculating the average deviation, all resulting numbers are positive.

3. Calculate the sum of all deviations

After calculating the deviation from the mean for each value in the data set, you need to add them together. Since this is an absolute value operation, each value should be a positive number.

4. Calculate average deviation

Finally, calculate the average deviation of your data set by dividing the previously calculated sum of all deviations by the total number of deviations that you added together. The resulting number is the average deviation from the mean.

Answer: the radius of the circular path is approximately 1637.58 meters.

Explanation:

The centripetal force acting on the airplane is provided by the component of the gravitational force that acts towards the center of the circular path. This component is given by:

F_c = m * g * tan(banking angle)

Where:

F_c is the centripetal force

m is the mass of the airplane

g is the acceleration due to gravity

tan(banking angle) is the tangent of the banking angle

Now, the centripetal force is also given by the formula:

F_c = (m * v^2) / r

Where:

v is the speed of the airplane

r is the radius of the circular path

Equating the two expressions for F_c, we get:

(m * g * tan(banking angle)) = (m * v^2) / r

Canceling out the mass (m) on both sides of the equation, we have:

g * tan(banking angle) = v^2 / r

Solving for r, we get:

r = (v^2) / (g * tan(banking angle))

Substituting the given values:

v = 400 km/h = 400,000 m/h

g = 9.8 m/s^2

banking angle = 20°

Converting the speed to m/s:

v = 400,000 m/h * (1/3600) h/s = 111.11 m/s

Converting the banking angle to radians:

banking angle = 20° * (π/180) rad/° = 0.3491 rad

Now, substituting the values into the formula:

r = (111.11^2) / (9.8 * tan(0.3491))

r ≈ 1637.58 meters

Therefore, the radius of the circular path is approximately 1637.58 meters.

t = 0 and t = 2 are the values of t when the velocity of the particle is zero. However, since the problem states that t is in seconds and t can't be negative, the time at which the particle reaches its minimum velocity is t = 2 seconds.

To find the time at which the particle reaches its minimum velocity, we need to find the time at which the particle's velocity is zero.

Velocity is the derivative of position with respect to time, so we can find the velocity of the particle by taking the derivative of x with respect to t:

v(t) = dx/dt = (9t^2 - 18t) m/s

To find the time at which the velocity is zero, we set the velocity equal to zero and solve for t:

0 = 9t^2 - 18t

t(9t-18)=0

So, t = 0 and t = 2 are the values of t when the velocity of the particle is zero. However, since the problem states that t is in seconds and t can't be negative, the time at which the particle reaches its minimum velocity is t = 2 seconds.

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He starts off evolved grieving earlier than he has been clearly outsourced.His emotions are associated to the loss that would possibly happen in future. His emotions are due to the response to the predicted loss.

Answer:

Explanation:

Potential energy increases because the train moves against the magnetic force.

Answer:

What Is Moral Subjectivism? Moral subjectivism is based on an individual person's perspective of what is right or wrong. An individual can decide for themselves that they approve or disapprove of a certain behavior, and that is what determines if the behavior is right or wrong.

The change in momentum of Kara's car is -1.43 × 10⁴ kg.m/s, the magnitude of force is -1.021 × 10⁵ N.

Force is the external agent which causes the motion of an object or it is the resistant which makes the object come at rest from motion. It is a vector quantity, because it has both the magnitude and direction.

Mass of Kara's car = 1300 Kg

moving with speed = 11 m/s

time taken to stop = 0.14 s

final velocity = 0 m/s

distance between Lisa ford and Kara's car = 30 m

a) change in momentum of Kara's car

Δ P = m Δ v          

Δ P = m(vf - vi)

Δ P = 1300 (0 - 11)

Δ P = -1.43 × 10⁴ kg.m/s

The impulse is equal to the change in momentum of the car

I = -1.43 × 10⁴ kg.m/s

Magnitude of the force experienced by Kara

I = F × t

where, I is impulse acting on the car

t is time

- 1.43 × 10⁴ = F × 0.14

F = -1.021 × 10⁵ N

Negative sign represents the direction of the force.

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Your question is incomplete, most probably the complete question is:

Kara Less was applying her makeup when she drove into South's busy parking lot last Friday morning. Unaware that Lisa Ford was stopped in her lane 30 feet ahead, Kara rear-ended Lisa's rented Taurus. Kara's 1300-kg car was moving at 11 m/s and stopped in 0.14 seconds.

a. Determine the momentum change of Kara's car.

b. Determine the impulse experienced by Kara's car.

c. Determine the magnitude of the force experienced by Kara's car.

We need frequency:-

\(\\ \rm\Rrightarrow \nu=\dfrac{c}{\lambda}\)

\(\\ \rm\Rrightarrow \nu=\dfrac{3\times 10^8m/s}{590\times 10^{-9}m}\)

\(\\ \rm\Rrightarrow \nu=0.0051\times 10^{17}Hz\)

\(\\ \rm\Rrightarrow \nu=5.1\times 10^{14}Hz\)

The mass of Car B is -6000 kg.

To solve this problem, we can apply the principle of conservation of momentum, which states that the total momentum before the collision is equal to the total momentum after the collision.

Therefore, we can write the equation for the conservation of momentum as:

(mass of Car A * velocity of Car A) + (mass of Car B * velocity of Car B) = (mass of Car A + mass of Car B) * velocity after collision

Let's substitute the given values into the equation:

(2000 kg * 10 m/s) + (mass of Car B * 0 m/s) = (2000 kg + mass of Car B) * (-5 m/s)

Simplifying the equation:

20000 kg*m/s = -5 m/s * (2000 kg + mass of Car B)

Dividing both sides by -5 m/s:

-4000 kg = 2000 kg + mass of Car B

Subtracting 2000 kg from both sides:

mass of Car B = -4000 kg - 2000 kg

mass of Car B = -6000 kg

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The magnitude of the frictional force is 5 N.

The force exerted by the boy on the box is 40.0 N. According to Newton's second law of motion, the net force acting on an object is equal to the product of its mass and acceleration:

F(net) = m*a

where F(net) is the net force, m is the mass of the object, and a is its acceleration.

In this case, the net force acting on the box is the force applied by the boy minus the frictional force:

F(net) = F(applied) - F(friction)

By substituting the values:

F(applied) = 40.0 N

m = 5 kg

a = 7 m/s^2

Now, by using frictional force:

F(friction) = F(applied) - F(net)

F(friction) = F(applied) - ma

                = 40.0 N - (5 kg)(7 m/s^2)

                = 5 N

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(a) When the system does work on the surroundings, the change in the internal energy is - 700 J.

(b) When the surroundings performs work on the system, the change in the internal energy is 3,700 J.

The change in the internal energy of the system is determined by applying the first law of thermodynamics as shown below.

Mathematically, the formula for first law of thermodynamics is given as;

ΔU = Q ± W

where;

When the system does work on the surroundings, the equation is given as;

ΔU = Q - W

ΔU = 1500 J - 2200 J

ΔU = -700 J

When the surroundings performs work on the system, the equation is given as;

ΔU = Q + W

ΔU = 1500 J + 2200 J

ΔU = 3,700 J

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The energy of the skater at each position is:

At position A, the skater is at the lowest point, so the PE is zero. The KE can be calculated using the formula KE = (1/2)mv², where m is the mass of the skater and v is the velocity:

KE = (1/2)(60 kg)(8 m/s)²

KE = 1920 J

Therefore, at position A, the skater has 1920 J of kinetic energy and 0 J of potential energy.

At position B, the skater has gained some height, so there is some potential energy. The KE can be calculated as before, and the PE can be calculated using the formula PE = mgh, where m is the mass of the skater, g is the acceleration due to gravity (9.81 m/s²), and h is the height:

KE = (1/2)(60 kg)(8 m/s)²

KE = 1920 J

PE = (60 kg)(9.81 m/s²)(3 m)

PE = 1764 J

Therefore, at position B, the skater has 1920 J of kinetic energy and 1764 J of potential energy.

At position C, the skater has reached the highest point, so the KE is zero. The PE can be calculated as before:

PE = (60 kg)(9.81 m/s²)(6 m)

PE = 3528 J

Therefore, at position C, the skater has 0 J of kinetic energy and 3528 J of potential energy.

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The upward force exerted on the board by the support is 530.8 N.

The upward force exerted on the board by the support is calculated as follows;

F(up) = 52.8 N  +  206.0 N  +  272.0 N

F(up) = 530.8 N

Thus, the upward force exerted on the board by the support is 530.8 N.

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Answer:

Explanation:

The problem is based on the concept of Doppler's effect of em wave .

Expression for apparent frequency can be given as follows

n = N x (V - v ) / ( V + v )

n is apparent frequency , N is real frequency , V is velocity of light  and v is velocity of cloud.

n = 6 x 10⁹ ( 3 x 10⁸ - 8.52 ) / ( 3 x 10⁸ + 8.52 )

= 6 x 10⁹ ( 3 x 10⁸ ) ( 3 x 10⁸ + 8.52 )⁻¹

= 6 x 10⁹ ( 3 x 10⁸ ) ( 3 x 10⁸)⁻¹ ( 1  + 8.52/3 x 10⁸ )⁻¹

= 6 x 10⁹ ( 1  - 8.52/3 x 10⁸ )

= 6 x 10⁹    - 6 x 10⁹x  8.52/ (3 x 10⁸ )

= 6 x 10⁹  1  - 170 .

So change in frequency = 170 approx.

Answer:

341

Explanation:

Just to confirm

Answer:

  a) 14.1°

  b) over

Explanation:

The usual model of ballistic motion assumes that the only force on the flying object is that due to gravity. When an object is launched with initial velocity v0 at some angle θ with respect to the horizontal, the distance it travels is ...

  d = (v0)²sin(2θ)/g

Using this relation, we can find the launch angle to make the object travel a given distance:

  θ = 1/2arcsin(dg/v0²) . . . . where g is the acceleration due to gravity

__

For the arrow to hit a target 85 m away at the same height it was launched with speed 42.0 m/s, the launch angle must be ...

  θ = 1/2arcsin(dg/v0²) = 1/2(arcsin(85·9.8/42²)) ≈ 14.0893°

The arrow must be released at an angle of about 14.1°.

__

The flight time to the tree at a distance of 42.5 m will be that distance divided by the horizontal speed:

  t = 42.5/(42cos(14.0893°)) ≈ 1.0433 . . . . seconds

The height at that time is ...

  h(t) = -4.9t² +42sin(14.0893°)t ≈ 5.33 . . . meters

The arrow will go over the branch.

_____

Additional comment

Since gravity provides the only force on the arrow, its horizontal speed is constant at vh = v0·cos(θ), when the arrow is launched with speed v0 at angle θ above the horizontal. Its vertical speed will be reduced by the acceleration of gravity, so will be vv = v0·sin(θ) -gt. The height is the integral of the vertical speed, so is ...

  h(t) = (1/2)gt² +v0·sin(θ)t

The height will be 0 at t=0 and at t=2v0sin(θ)/g, so the horizontal distance traveled will be ...

  d = vh·t

  = (v0·cos(θ))(2v0·sin(θ)/g) = (v0²/g)(2·sin(θ)cos(θ))

  = v0²sin(2θ)/g

Note that this is all simplified by the fact that the target and launch point are at the same level (h=0).