Please help me I need the answer before tomorrow and Please explain how you got your answer!!! While playing basketball in PE class, 67 kg Johan lost his balance after making a lay-up at 5.4 m/s and collided with the padded wall behind the basket and came to rest in 0.24 seconds. What force acted on his body?

A: -1300

B: -1500

C: -1700

D: -1900

Answer:

Explanation:

For first overtone

Standing waves will be formed lengthwise and breadth-wise in the enclosures  having dimension of .75m  x 1.5 m

A ) For the formation of lowest two frequencies formed by standing waves along the breadth  , fundamental note and first overtone may be considered.  

For fundamental note ,  

the condition is  

wave length λ = 2L = 2 x 0.75 m  

λ = 1.5 m  

frequency n = v / λ

= 343 / 1.5  

= 229  Hz approx

For first overtone

λ = L = 0.75m

frequency n = v / λ

n = 343 / 0.75  

= 457 Hz approx

B)

For the formation of lowest two frequencies formed by standing waves along the length , fundamental note and first overtone may be considered.  

For fundamental note ,  

the condition is  

wave length λ = 2L = 2 x 1.5 m  

λ = 3 m  

frequency n = v / λ

= 343 / 3  

= 114 Hz approx

frequency n = v / λ

n = 343 / 1.5  

= 229 Hz approx

A) The lowest two frequencies that correspond to resonances on the short axis for first overtone.

B) Standing waves will be formed lengthwise and breadth-wise in the enclosures  having dimension of .75m  x 1.5 m

Part A )

For fundamental note ,  

wave length λ = 2L = 2 x 0.75 m  

λ = 1.5 m  

frequency n = v / λ

frequency n = 343 / 1.5  

frequency n = 229  Hz approx

For first overtone

λ = L = 0.75m

frequency n = v / λ

n = 343 / 0.75  

frequency n= 457 Hz approx

Part B)

For fundamental note ,  

wave length λ = 2L = 2 x 1.5 m  

λ = 3 m  

frequency n = v / λ

frequency n= 343 / 3  

frequency n= 114 Hz approx

For first overtone

frequency n = v / λ

frequency n = 343 / 1.5  

frequency n= 229 Hz approx

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Answer:

8m/s

Explanation:

The question is incomplete.

But if the given speed is 3m/s

t= 0.5s

From Newton's equation of motion v=u+at

U= 3m/s

V= 3+ 0.5×10 a=10m/s^2

v= 8m/s

Final answer:

The BASE jumper's speed after 0.5 seconds, with gravity approximated as 10 m/s², would be 5 m/s. This is calculated using kinematic equations in physics, which are not explicitly stated in the choices, therefore the correct answer is E) not given.

Explanation:

The subject of the question involves the principles of kinematics in physics. Given that we approximate the acceleration due to gravity (g) as 10 m/s², we can calculate the BASE jumper's speed after 0.5 seconds.

The formula to calculate the speed (v) of a falling object at a given time (t) when released from rest is v = gt. Therefore, after 0.5 seconds, the BASE jumper's speed would be v = 10 m/s² × 0.5 s = 5 m/s. None of the options A) 10 m/s, B) 8 m/s, C) 6 m/s, or D) 3 m/s exactly match this result. Hence, the correct answer is E) not given.

Answer:3-Sonar

Explanation:

Sonar system is used to detect the under water objects by using the deflection of sound waves.

Sonar is an acronym of Sound navigation ranging.Two types of sonar sets are used for working: active and passive. The active sonar system pushes out sound signals called pings, and then absorbs the return sound echo. Passive sound sets obtain sound echoes without transmitting their actual sound signals. Submarines are using sonar to track other vessels.    

Answer:

Slip Rings

Explanation:

The wound rotor motor has a three-phase winding with each one connected to seperate slip rings. These slip rings contain brushes which form a secondary circuit where resistance can be inserted and this will allow for the rotor current to run more in phase with the stator current which will result in increased torque that is created

Answer:

The height at which the ladder safely reach on the garage is 12 meters.

Explanation:

It is given that,

Height of the ladder, H = 13 foot

Bottom of the ladder, B = 5 feet

To find,

How high can the ladder safely reach on the garage?

Solution,

The ladder and the wall follows the Pythagoras theorem. 13 foot is the height of the ladder. Distance between wall and the ladder is 5 feet. Let L is the height at which the ladder safely reach on the garage. On using Pythagoras theorem we get :

[tex]H^2=B^2+L^2[/tex]

[tex]L^2=H^2-B^2[/tex]

[tex]L^2=13^2-5^2[/tex]

L = 12 m

So, the height at which the ladder safely reach on the garage is 12 meters. Hence, this is the required solution.

The question is asking for the distance an object will travel given its initial speed and a coefficient of friction. However, without knowing the object's mass, we cannot calculate the exact distance.

The question is asking you to calculate the distance an object will travel, given an initial speed and friction. This is a physics problem that can be solved using the principles of friction and kinetic energy.

Since we know the coefficient of kinetic friction (μk) and initial speed (v), we can calculate the distance travelled. The frictional force is equal to μk * m * g, where m is the mass of the object and g is the gravity. However, we do not have the mass of the object.

As we have incomplete information provided in the question, we cannot calculate the exact distance travelled. The chapter references given also do not give us the necessary information to solve the problem. With full information, we would use the formula relating kinetic energy to work done by friction to find the distance:

1/2 * m * v² = μk * m * g * d,  which simplifies to d = v² / (2 * g * μk)

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Answer:

d) An object that is speeding up always has a positive acceleration, regardless of the direction it travels.

Explanation:

a ) a) An object that is slowing down while traveling in the negative x-direction always has a positive acceleration.

It has negative acceleration in  the negative x-direction.

b) An object that is speeding up while traveling in the negative x-direction always has a positive acceleration.

It has a positive acceleration in the negative x-direction'

c) An object that is slowing down always has a negative acceleration, regardless of the direction it travels.

It has a positive  acceleration in opposite direction.

e ) An object that is slowing down always has a positive acceleration, regardless of the direction it travels.

It has a positive acceleration only in opposite direction .

Answer:

a)W = 116800 J

b)KE=132496 J

c)P=4154.93 W

Explanation:

Given that

m= 800 kg/min

h= 14.6 m

v= 18.2 m/s

a)

Work done required ,W= m g h

h=height of the well

m=mass

W= 800 x 14.6 x 10                 ( take g= 10 m/s²)

W = 116800 J

b)

kinetic energy = KE

[tex]KE=\dfrac{1}{2}mv^2[/tex]

m=mass

v=velocity

[tex]KE=\dfrac{1}{2}\times 800\times 18.2^2[/tex]

KE=132496 J

c)

Pump power given as

[tex]P=\dfrac{W'}{t}[/tex]

W'=Total work done

t=time

[tex]P=\dfrac{116800+132496}{60}[/tex]

P=4154.93 W

The work done per minute in lifting the water is 114,464 J. The kinetic energy given to the water when it is ejected is 132,488 J. The power output of the pump is 4116.2 W.

The subject of this question is Physics, specifically the topic of work, energy, and power.

To calculate the work done in lifting the water, we can use the formula:

Work = Force × Distance

The force required to lift the water can be calculated using the formula:

Force = Mass × Gravity

(a) To find the work done per minute in lifting the water, we multiply the weight of the water by the height it is lifted. The weight of the water is mass times gravity, which is

Force =800 kg * 9.8 m/s^2 = 7840 N.

So, the work done is 7840 N * 14.6 m = 114,464 J.

(b) To find the kinetic energy given to the water when it is ejected, we use the formula for kinetic energy, which is 1/2 * mass * speed^2.

So, the kinetic energy = 1/2 * 800 kg * (18.2 m/s)^2

                                     = 132,488 J.

(c) The power output of the pump is the total work done per minute divided by the time, which is

Power =(114,464 J + 132,488 J) / 60 s

           = 4116.2 W.

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Answer:

B. [tex]V_{f}= 10\,cubic\,inches [/tex]

Explanation:

Assuming we are dealing with a perfect gas, we should use the perfect gas equation:

[tex]PV=nRT [/tex]

With T the temperature, V the volume, P the pressure, R the perfect gas constant and n the number of mol, we are going to use the subscripts i for the initial state when the gas has 20 cubic inches of volume and absolute pressure of 5 psi, and final state when the gas reaches 10 psi, so we have two equations:

[tex]P_{i}V_{i}=n_{i}RT_{i} [/tex] (1)

[tex] P_{f}V_{f}=n_{f}RT_{f}[/tex] (2)

Assuming the temperature and the number of moles remain constant (number of moles remain constant if we don't have a leak of gas) we should equate equations (1) and (2) because [tex] T_{i}=T_{f}[/tex], [tex]n_{i}=n_{f} [/tex] and R is an universal constant:

[tex]P_{i}V_{i}= P_{f}V_{f} [/tex], solving for [tex]V_{f} [/tex]

[tex]V_{f} =\frac{P_{i}V_{i}}{P_{f}} =\frac{(5)(20)}{10} [/tex]

[tex]V_{f}= 10 cubic\,inches [/tex]

Answer:

18.6 m/s

Explanation:

[tex]h[/tex] = Initial height of the balloon = 11 m

[tex]v_{o}[/tex] = initial speed of the ball

[tex]v_{oy}[/tex] = initial vertical speed of the ball = 7 m/s

[tex]v_{ox}[/tex] = initial horizontal speed of the ball = 9 m/s

initial speed of the ball is given as

[tex]v_{o} = \sqrt{v_{ox}^{2} + v_{oy}^{2}} = \sqrt{9^{2} + 7^{2}} = 11.4 m/s[/tex]

[tex]v_{f}[/tex] = final speed of the ball as it strikes the ground

[tex]m[/tex] = mass of the ball

Using conservation of energy

Final kinetic energy before striking the ground = Initial potential energy + Initial kinetic energy

[tex](0.5) m v_{f}^{2} = (0.5) m v_{o}^{2} + mgh \\(0.5) v_{f}^{2} = (0.5) v_{o}^{2} + gh\\(0.5) v_{f}^{2} = (0.5) (11.4)^{2} + (9.8)(11)\\(0.5) v_{f}^{2} = 172.78\\v_{f} = 18.6 m/s[/tex]

Answer:

0.95 second

Explanation:

height, h = 11 m

ux = 9 m/s

uy = 7 m/s

Let it takes time t to strike the ground.

Use second equation of motion

[tex]h = u_{y}t + 0.5 gt^{2}[/tex]

- 11 = 7 t - 0.5 x 9.8 t²

-11 = 7t - 4.9t²

4.9t² - 7t - 11 = 0

[tex]t=\frac{-7\pm \sqrt{49+4\times4.9\times11}}{9.8}[/tex]

[tex]t=\frac{-7\pm 16.27}{9.8}[/tex]

take positive sign

t = 0.95 second

Thus, the time taken to reach the ground is 0.95 second.

Answer:

See below explanation

Explanation:

The correspondent chemical reaction for copper carbonate decomposed by heat is:

CuCO₃ (s) → CuO (s) + CO₂ (g)

Considering all molar mass (MM) for each element ( we consider rounded numbers) :

MM CuCO₃ = 123 g/mol

MM CuO = 79 g/mol

MM CO₂ = 44 g/mol

Statement mentions that scientis heated 123.6 g of CuCO₃ (almost a MM), until a black residue is obtained, which weights 79.6 g : this solid residue is formed by CuO, and the remaining mass (approximatelly 44 g) belongs to teh second product, this is, CO₂; as it is a gas compund, it is not certainly included on the solid residue.

So, law of conservation mass is true for this case, since: 123.6 g = 79.6 g + 44 g. As explained, on the solid residue, we don not include the 44 g, which  "escaped" from our system, since it is a gas compound (CO₂)

Answer:

option (b)

Explanation:

An object is said to be in stable equilibrium if its potential energy is minimum and the force acting on the object is zero.

When the base of an object is too broad so that the vertical line passing through its centre of gravity line passes though this base, it is said to be in stable equilibrium. \

Thus, option (b) is correct.

Final answer:

An object will be stable when its center of gravity lies over c. its base of support.

Explanation:

An object will be stable if its center of gravity lies over its base of support, which corresponds to option (b). Considering a person standing with feet narrowly-separated, they would be in a stable equilibrium to sideway displacements, as their center of gravity is above the base of support. However, even small displacements can make them unstable if it takes their center of gravity outside the base.

Therefore, enhanced stability can be achieved by lowering the center of gravity or expanding the base by spreading the feet farther apart. Furthermore, using a support device such as a cane increases stability by broadening the base of support. These principles are crucial in understanding why, for instance, children learning to walk experience more instability due to their higher center of gravity positioned between their shoulders.

Answer:

6.1 m/s

Explanation:

Gradpoint

Answer:

When the termination is a terminal block, care must be taken to ensure a good electrical connection without damaging the conductor. Terminals should not be used for more than one

Explanation:

The Terminal block being a modular block, having insulated frame, which can secure more than two wires in it. It has a conducting strip in it. These terminal clocks helps in making the connection safer as well as organised. These terminal blocks are used for power distribution in safer way. Its potential is it can distribute power from single to multiple output. The conductor is used for making it proper contact.

Answer:

C) True   carrying large loads on the outside of the vehicle

Explanation:

The aerodynamic property of an object depends on its outer shape. In general, objects should be thin in the front and not completely flat in the back, to avoid the eddies that create a great Arrate, losing all the aerodynamics of the system.

With this we can review the final statements

A) False The air conditioner is used with the glasses raised, so the exterior shape of the car does not change and its aerodynamics remains unchanged.

B) Phallus. This does not change the outer shape, I get a small inclination,

C) True. External loads dramatically change the external shape of the vehicle significantly reducing its aerodynamic characteristics.

To avoid compromising your car's aerodynamic properties, avoid carrying large loads on the outside of the vehicle and taking turns at high speeds.

To avoid compromising your car's aerodynamic properties, you should avoid carrying large loads on the outside of the vehicle. Large loads increase drag and disrupt the flow of air around the car, negatively affecting its aerodynamics. It is also advisable to avoid taking turns at high speeds as it can create instability and affect the car's balance. Running the air conditioning system does not directly impact the aerodynamic properties of the car, so it is not necessary to avoid running your air conditioning system.

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Answer:

The elevator is accelerating downwards.

Explanation:

When an elevator accelerating downward it moves together with the person inside and the weight of the person does not change, but if the person is standing on a scale the contact force between the person and the scale is reduced.  The scale therefore has to push upward with less force on the person to support the person's weight. Therefore the Normal Force is smaller, so the reading on the scale becomes less than the true weight.

When you feel your weight decrease in an elevator, it means that the elevator is accelerating downwards. This is due to the equivalence principle in physics, where the downward acceleration counteracts some of gravity's pull making you feel lighter.

If you are standing on a scale in an elevator and suddenly notice your weight decreases, you can conclude that the elevator is accelerating downwards. The weight we feel is a combination of our actual weight and the effect of the elevator's motion. The apparent reduction in weight is because the downwards acceleration of the elevator is counteracting some of the pull of gravity, causing you to feel lighter.

This is a principle of physics known as the equivalence principle, which is a key part of Einstein's theory of general relativity. When the elevator accelerates downwards, we experience a sensation of decreased weight, as the floor of the elevator 'falls' away from us at an accelerated rate.

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Explanation:

We have equation of motion v = u + at

     Initial velocity, u = 7.3 m/s

     Final velocity, v = ?

     Time, t = 7.4 s

     Acceleration,a = 0.82 m/s²

     Substituting

                      v = u + at  

                      v = 7.3 + 0.82 x 7.4

                      v = 13.368 m/s

Final velocity is 13.37 m/s

Final answer:

The typical speed limit in a residential area is 25 miles per hour, which corresponds with option B) 25 mph. Always check local signs as limits can vary. Over this limit, like driving 31 mph in a 30 mph zone, may be tolerated but it's best to strictly follow posted speeds to ensure safety and avoid penalties.

Explanation:

The speed limit for cars in a residential area, unless otherwise posted, is generally 25 miles per hour (mph). This means that option B) 25 mph is typically the correct choice for such a setting. However, it's important to always observe local traffic signs as speed limits can vary depending on specific city, county, or state regulations.

For instance, the information given states that 50 kilometers per hour is approximately 31 miles per hour, suggesting that some residential areas might have a speed limit close to this value. However, in the context of the United States, 25 mph is a common residential speed limit, which is enforced to ensure the safety of the neighborhood, including pedestrians, cyclists, and playing children.

It's also important to note that speedometers and radar measurements can vary in accuracy. Therefore, while you may not get in trouble for driving slightly over the speed limit, such as 31 mph in a 30 mph zone, it's safest to adhere strictly to posted limits to avoid traffic violations and fines.

Answer:

a. P1=200235pa

b. h=26.91m

Explanation:

The main water line enters a house on the first floor. The line has a gauge pressure of 2.64 x 105 Pa.

(a) A faucet on the second floor, 6.50 m above the first floor is turned off. What is the gauge pressure at this faucet?

(b) How high could a faucet be before no water would flow from it, even if the faucet were open?

pressure is the force per unit area.

force is that which tends to change a boy's state of rest or uniform motion in a straight line

rho stands for the density of water which is 1000kg/m3

p2=p1+rhogh

p1=p2-rhogh

the gauge pressure at 6.5m

will be:

2.64 x 10^5 Pa-100kg/m3*9.81*6.5

P1=200235pa

b. How high could a faucet be before no water would flow from it, even if the faucet were open?

b.h=p2-p1/(grho)

h=2.64 x 105 Pa/(1000*9.81)

h=26.91m

To find the gauge pressure and height limit of a faucet on the second floor compared to the first floor in a house with a main water line.

(a) To find the gauge pressure at the faucet on the second floor, we can use the equation: P2 = P1 + ρgh. Here, P1 = 2.64 x 105 Pa, ρ is the density of water, g is the acceleration due to gravity, and h is the height difference between the first and second floor. Plugging in the values, we get: P2 = 2.64 x 105 + (1000 kg/m3) x (9.8 m/s2) x 6.50 m. Solving for P2 gives us the gauge pressure at the faucet on the second floor.

(b) To find the maximum height a faucet could be before no water would flow from it, we can equate the gauge pressure to zero in the equation: P2 = P1 + ρgh. Solving for h, we can find the maximum height.

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Answer:

a)   T = 2.997 s

b)   K = 14.3 J

c)   φ = 0.444 rad

Explanation:

a) Determine its period

  The pendulum simple’s period is:

  T = 2π[tex]\sqrt{\frac{l}{g} }[/tex]

        Where l: Pendulum’s length

                    g = 9.8 m/s2

  T = 2π[tex]\sqrt{\frac{2.23}{9.8} }[/tex]

  T = 2.997 s

b) Total energy

  Initially his total energy is kinetic

  K = [tex]\frac{mv^{2} }{2}[/tex]

  K = [tex]\frac{(6.74)(2.06)^{2} }{2}[/tex]

  K = 14.3 J

c) Maximum angular displacement

  φ = [tex]cos^{-1}(1-\frac{E}{mgl} )[/tex]

  φ = [tex]cos^{-1}(1-\frac{14.3}{(6.74)(9.8)(2.23)} )[/tex]

  φ = 0.444 rad

Final answer:

The period of the pendulum is 4.46 seconds. The total energy of the pendulum is 14.58 Joules. The maximum angular displacement of the pendulum is 26.86 degrees.

Explanation:

To determine the period of the pendulum, we can use the formula:

T = 2π√(L/g)

where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. Plugging in the values given, we get:

T = 2π√(2.23/9.8) = 4.46 seconds

The total energy of the pendulum is given by the formula:

E = mgh + (1/2)mv²

where E is the total energy, m is the mass, g is the acceleration due to gravity, h is the height, and v is the velocity. Since the pendulum is at its equilibrium position, the height is zero, so we only need to calculate the kinetic energy:

E = (1/2)mv² = (1/2)(6.74)(2.06)² = 14.58 Joules

The maximum angular displacement of the pendulum can be found using the formula:

θ = sin⁻¹(A/L)

where θ is the angular displacement, A is the amplitude, and L is the length of the pendulum. Plugging in the values given, we get:

θ = sin⁻¹(1/2.23) = 26.86 degrees

Answer:

Physical

Explanation:

The study of the transmission of light and sound in the oceans is an example of Physical oceanography.

Physical oceanography is the analysis of physical conditions and mechanisms in the ocean, particularly ocean waters ' movements and physical characteristics. One of many sub-domains in which oceanography is divided is physical oceanography.

Final answer:

The study of light and sound in oceans relates to physical oceanography, which incorporates wave optics to explain phenomena like diffraction and apply principles to technologies like fiber optics.

Explanation:

The study of the transmission of light and sound in the oceans is an example of physical oceanography. This branch of oceanography explores the wave optics of light as it behaves in different media, specifically how light and sound waves propagate through water. One of the interesting phenomena is the diffraction of waves, which occurs when a wave encounters an obstacle or passes through an aperture and displays bending and spreading. This is not fully explained by geometric optics; instead, it illustrates the intricate nature of wave interactions that can be characterized by wave optics or physical optics. Understanding how light behaves when it exhibits wave characteristics can also lead to practical applications such as fiber optics, which involves the transmission of light down fibers of plastic or glass by employing the principle of total internal reflection.

Torque can cause the angular momentum vector to rotate in UCM. This motion is called _Conservation of Angular momentum__________.

Answer:

Conservation of Angular momentum

Explanation:

The motion of an object in a circular path at constant speed is known as uniform circular motion (UCM). An object in UCM is constantly changing direction, and since velocity is a vector and has direction, you could say that an object undergoing UCM has a constantly changing velocity, even if its speed remains constant.

The law of conservation of angular momentum states that when no external torque acts on an object, no change of angular momentum will occur.

Key Points

When an object is spinning in a closed system and no external torques are applied to it, it will have no change in angular momentum.

The conservation of angular momentum explains the angular acceleration of an ice skater as she brings her arms and legs close to the vertical axis of rotation.

If the net torque is zero, then angular momentum is constant or conserved.

Angular Momentum

The conserved quantity we are investigating is called angular momentum. The symbol for angular momentum is the letter L. Just as linear momentum is conserved when there is no net external forces, angular momentum is constant or conserved when the net torque is zero. We can see this by considering Newton’s 2nd law for rotational motion:

τ→=dL→dt, where  

τ is the torque. For the situation in which the net torque is zero,  

dL→dt=0.

If the change in angular momentum ΔL is zero, then the angular momentum is constant; therefore,

⇒

L  =constant

L=constant (when net τ=0).

This is an expression for the law of conservation of angular momentum.

Example and Implications

An example of conservation of angular momentum is seen in an ice skater executing a spin,  The net torque on her is very close to zero,

because (1) there is relatively little friction between her skates and the ice, and (2) the friction is exerted very close to the pivot point.

Conservation of angular momentum is one of the key conservation laws in physics, along with the conservation laws for energy and (linear) momentum. These laws are applicable even in microscopic domains where quantum mechanics governs; they exist due to inherent symmetries present in nature.

Precession is the rotation of the angular momentum vector in uniform circular motion (UCM) caused by torque. Torque's direction aligns with the direction of the angular momentum it produces. Any alteration in angular momentum is influenced by the average torque and the time period of its exertion, adhering to the conservation laws of angular momentum.

The motion caused by torque making the angular momentum vector to rotate in UCM is called precession. In other words, precession is the circular motion of the pole of the axis of a spinning object around another axis due to torque. This is similar to how a spinning top wobbles as it continues to spin.

For example, if we consider a merry-go-round, torque is perpendicular to the plane formed by radius and force. This direction aligns with the direction your right thumb would point to if you curled your fingers in the direction of the force. This shows that the direction of the torque is the same as that of the angular momentum it produces.

It's important to note that angular momentum, like energy and linear momentum, is conserved when the net external torque is zero. This is a universally applicable law underlying unity in physical laws. The change in angular momentum is given by the product of average torque and the time interval during which the torque is exerted, embodying the conservation laws of angular momentum.

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Answer:

The angular speed wf of the neutron star is calculated to be [tex]5.19*10^{3} [/tex] rad/s

Explanation:

The reason for such a rapid spin-rate is due to the principle of angular momentum. The angular momentum of a system can be given as:

Angular Momentum (L) = Mass * Radius^2 * Angular Velocity (w)

Applying this principle to our context, we would say that the angular momentum of the star before and after collapsing is constant. In order to not break this principle, we know that the mass of the star did not change but the radius shrank by a significant amount after collapsing, and so in order to keep the angular momentum (L) constant after collapse, the star had to increase it's angular velocity, which is evident in our answer.

The calculations of the answer are as follows:

Star's Initial Radius Ri = [tex]8.0 * 10^{5}[/tex] km ( [tex]8.0 * 10^{8}[/tex] m)

Star's Initial Angular Velocity wi = [tex]\frac{2\pi} {35 days * 24 hrs * 3600 sec}[/tex] = [tex]2.077 * 10^{-6}[/tex] rad/sec

Star's final radius Rf = [tex]16 * 10^{3}[/tex] m

Now, we can equate the initial and final states of the star i.e. the angular momentum of star before and after the collapse as following:

Li = Lf (where i and f denote initial and final state)

Solving of Final Angular Velocity we have:

wf = wi * (Ri / Rf) ^ 2

Plugging in our known values:

wf = [tex]2.077 * 10^{-6}[/tex] x [tex](\frac{8 * 10^{8}}{16 * 10^{3}} )^{2}[/tex] = 5.19 * 10^3 rad/s

Final answer:

The neutron star's angular speed is found by using the conservation of angular momentum. With the star's initial rotation period of 35 days, the initial angular speed is calculated and then adjusted for the changes in the radius of the star upon collapse. The resulting angular speed of the neutron star is approximately 6.57 x 10³ radians/second.

Explanation:

When a star collapses into a neutron star, its angular momentum is conserved. To calculate the neutron star's angular velocity, we use conservation of angular momentum. The original star rotated once every 35 days, and we can convert this period into angular speed, \, using the formula \ = [tex](2\pi)[/tex] / T, where T is the period of rotation in seconds.

Firstly, convert the days into seconds: 35 days × 24 hours/day × 3600 seconds/hour = 3,024,000 seconds. Now, calculate the initial angular speed: \initial = [tex](2\pi)[/tex] / 3,024,000 = 2.08 x 10⁻⁶ radians/second.

Since angular momentum L = I\ must be conserved (where I is the moment of inertia and \ is the angular velocity), and I = (2/5)mR² for a sphere, where m is mass and R is the radius, the relation can be expressed as I-initial\initial = I-final\final. Mass m cancels out and assuming the radius R changes from 8.0 x 10⁵ km to 16 km, we can solve for \final.

The final angular velocity \final = (Rinitial2 / Rfinal2) \initial = ((8.0 x 10⁵ km)² / (16 km)²) (2.08 x 10⁻⁶ radians/second) = (6.4 x 10¹¹ / 256) (2.08 x 10⁻⁶ radians/second) = 6.57 x 10³ radians/second.

Therefore, the angular speed of the neutron star is approximately 6.57 x 10³ radians/second, significantly faster than its predecessor due to the drastic reduction in radius.

Answer:

$9.702  per hour

Explanation:

The apprentice earns 55% of what the journeyman earns on a hourly scale.

Amount the apprentice makes per hour = 55% of $17.64

                                                             = (55/100) *17.64

                                                           = 0.55 *17.64

                                                          = $9.702

The apprentice would make $9.70 per hour if the Journeyman scale is $17.64, as 55% of $17.64 is $9.70.

Given:
Journeyman scale = $17.64/hour
Apprentice wages = 55% of Journeyman wages

Calculation:
Apprentice wages = 0.55 * $17.64
Apprentice wages = $9.702

Therefore, an apprentice would make $9.70 per hour.

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Answer:

u = 20.33 m/s

Explanation:

given,

mass of Toyota car = 950 Kg

mass of Cadillac = 2200 Kg

distance to stop = 4.8 m

coefficient of friction = 0.4

initial speed of the Toyota = ?

we know,

F = ma

and frictional foce

F = μ N = μ m g

where N is normal force

now equating both the equation

ma  = μ m g

 a = μ g

 a = 0.4 x 9.8

 a = 3.92 m/s²

using equation of motion

v² = u² + 2 a s

v² = 0² + 2 x 3.92 x 4.8

v = 6.13 m/s

above given velocity is the combined velocity of the Toyota and Cadillac

now, using conservation of momentum

m u = (M + m) v

950 x u = (2200+ 950) x 6.13

u = 20.33 m/s

The speed of Toyota before impact is equal to u = 20.33 m/s

Final answer:

The speed of the Toyota at the moment of impact is 0 m/s.

Explanation:

To find the speed of the Toyota at the moment of impact, we can use the principle of conservation of momentum. The momentum before the collision is equal to the momentum after the collision.

The momentum of an object is given by the product of its mass and velocity. So, we can write:

massT * velocityT = massC * velocityC

where massT and velocityT are the mass and velocity of the Toyota, and massC and velocityC are the mass and velocity of the Cadillac.

The mass of the Toyota is 950 kg, and the mass of the Cadillac is 2200 kg. The velocity of the Cadillac is 0 m/s because it is stopped. Solving for the velocity of the Toyota:

velocityT = (massC * velocityC) / massT

velocityT = (2200 kg * 0 m/s) / 950 kg = 0 m/s

Therefore, the speed of the Toyota at the moment of impact is 0 m/s.

Answer:

a. Technician A

Explanation:

Technician A says that a MAF sensor is a high-authority sensor and is responsible for determining the fuel needs of the engine based on the measured amount of air entering the engine. Technician B says that a cold wire MAF sensor uses the electronics in the sensor itself to heat a wire 20°C below the temperature of the air entering the engine. Who is right

MAF wich stands for  mass airflow sensor determines the mass of air flowing into the engine's air intake system. ... , the wire cools When air flows past the wire, decreasing its resistance, thereby more current flows through the circuit. When the MAf goes bad, it can not sense the amount of air intake into the engine.

Answer:

False

Explanation:

A 24 year old motorcycle driver would not be required to wear protective eyewear when riding in Florida,This is a False statement.

The law is all riders would have to wear protective eyewear when riding in Florida.

Answer:

d. 1000 N.

Explanation:

For the seesaw to be in equilibrium the moment on left of the fulcrum and the moment to the right of the fulcrum must be equal.

Let L be the distance on either side of fulcrum at which the boulder is kept

F be the minimum force used to pushdown the left end

According to principle

L×1000= L×F

F= 1000 N

Hence option D is correct

Answer:

(b) The average speeds are the same, but the average velocities are different.

Explanation:

The average speed is a scalar quantity which is calculated on the total distance travelled. Distance is the length of path traced and the speed is calculated as distance per unit time.

Mathematically:

[tex]v=\frac{d}{t}[/tex]

[tex]v=\frac{(1500+1500)}{2\times 60}\ m.s^{-1}[/tex]

While the velocity is a vector quantity calculated on the displacement and is defined as the rate of displacement.

Mathematically:

[tex]\vec v=\frac{\vec s}{t}[/tex]

[tex]\vec v=\frac{\sqrt{1500^2+1500^2} }{2\times 60}\ m.s^{-1}[/tex]