What is the difference between radial acceleration and tangential acceleration and how do you calculate both of these accelerations?

Answer:

speed=0.3*100=30m/s

speed=0.1*50=5m/s

frequency=20/0,5=40HZ

frequency=80/0.2=400HZ

frequency=120/0.4=300HZ

wavelength=340/440=0.77m

wavelength=340/880=0.39m

wavelength=250/400=0.63m

speed=2*50=100m/s

speed=0.5*100=50m/s

Explanation:

Answer:

Explanation:

f = 1550((1522 + 8)/(1522 - 12))

f = 1,570.529... 1571 Hz

Answer:

Wavelength?

Explanation:

The resultant force acting on an aircraft window  is 5670 Newton when the aircraft is  flying at an altitude of 12 km.

The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure. The pressure relative to the surrounding air is referred to as gauge pressure.

The pressure applied = 70 kPa = 70000 Pa.

The cross-sectional rea = 810 cm² = 0.081 m².

Hence, the force applied on the window = 70000 Pa × 0.081 m².

= 5670 Newton.

So, the resultant force acting on an aircraft window  is 5670 Newton.

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(A) A toroidal solenoid has 1855 turns.

(B) The rate of current is across it is 1142.86 A/s.

(A) A solenoid is a machine made of a casing, a coil of wire, and a moving plunger. The plunger is drawn in by the magnetic field that forms around the coil when an electrical current is delivered. Simply put, a solenoid converts electrical energy into mechanical work.

Given,

Length l = 2πr = 2× π × 0.054 = 0.34 m

L = μ₀ N² A/l

Making N as subject, we have,

N = √[(L* l)/(μ₀ A)]

N = √[(2.8 * 10⁻³* 0.34)/(4π* 10⁻⁷* 2.2* 10⁻⁴)

⇒ √[(0.952* 10⁸)/27.65] = 10⁴ * √(0.952/27.65) = 1855

N= 1855 turns

B) V = L dl/dt

dl/dt = V/L = 2.4/(2.8* 10⁻³) = 857.14 A/s

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Answer:

The answer is mass .

Explanation:

The kinetic energy formula is :

\(k.e = \frac{1}{2} m {v}^{2} \)

So if the mass is higher, the kinetic energy gained is higher .

If a large truck and a small car are moving at the same speed. The truck has greater kinetic energy because its mass is greater, as the kinetic energy of a body depends on the mass as well as the speed of the object.

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.

The kinetic energy of the Truck is given by the expression,

K.E= 1/2*m*v²

Where K.E is the kinetic energy of the object

m is the mass of the truck

v is the velocity of the truck

Since the speed is the same for both cars and the truck has greater kinetic energy because its mass is greater.

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The acceleration of the crate  after the frictional force is overcame is determined as 1 m/s².

Acceleration is a vector quantity that is defined as the rate at which an object changes its velocity with time.

The  acceleration of the crate is calculated from the net force acting on the crate as shown below;

F(net) = applied force - frictional force

F(net) = 10 N - 5N

F(net) = 5 N

Apply Newton's second law of motion to calculate the acceleration of the crate.

F(net) = ma

where;

a = F(net) / m

a = 5/5

a = 1 m/s²

Thus, the acceleration of the crate  after the frictional force is overcame is determined as 1 m/s².

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Answer:

a) 6.57 m/s

b) 53.75 J

c) 6.37 m/s

d) -98.297 J

Explanation:

mass of player = \(m_{p}\) = 117.5 kg

speed of player = \(v_{p}\) = 6.5 m/s

mass of ball = \(m_{b}\) = 0.43 kg

velocity of ball = \(v_{b}\) = 26.5 m/s

Recall that momentum of a body = mass x velocity = mv

initial momentum of the player = mv = 117.5 x 6.5 = 763.75 kg-m/s

initial momentum of the ball = mv = 0.43 x 26.5 = 11.395 kg-m/s

initial kinetic energy of the player = \(\frac{1}{2} mv^{2}\) = \(\frac{1}{2}\) x 117.5 x \(6.5^{2}\) =  2482.187 J

a) according to conservation of momentum, the initial momentum of the system before collision must equate the final momentum of the system.

for this first case that they travel in the same direction, their momenta carry the same sign

\(m_{p}\)\(v_{p}\) + \(m_{b}\)\(v_{b}\) = (\(m_{p}\) +\(m_{b}\))v

where v is the final velocity of the player.

inserting calculated momenta of ball and player from above, we have

763.75 + 11.395 = (117.5 + 0.43)v

775.145 = 117.93v

v = 775.145/117.93 = 6.57 m/s

b) the player's new kinetic energy = \(\frac{1}{2} mv^{2}\) = \(\frac{1}{2}\) x 117.5 x \(6.57^{2}\) = 2535.94 J

change in kinetic energy = 2535.94 - 2482.187 = 53.75 J  gained

c) if they travel in opposite direction, equation becomes

\(m_{p}\)\(v_{p}\) - \(m_{b}\)\(v_{b}\) = (\(m_{p}\) +\(m_{b}\))v

763.75 - 11.395 = (117.5 + 0.43)v

752.355 = 117.93v

v = 752.355/117.93 = 6.37 m/s

d) the player's new kinetic energy = \(\frac{1}{2} mv^{2}\) = \(\frac{1}{2}\) x 117.5 x \(6.37^{2}\)  = 2383.89 J

change in kinetic energy = 2383.89 - 2482.187 = -98.297 J

that is 98.297 J  lost

Explanation:

Cooking utensils are made of metal such as copper, aluminium, brass, steel etc., so that heat is easily conducted through the base to their contents. But they are provided with handles of bad conductors

Answer:

Again, in accordance with Bernoulli's principle, the shape of the airflow facilitates the spread of laminar flow around it. The slower-moving currents beneath the airfoil exert greater pressure than the faster currents above it, giving lift to the aircraft.

Explanation:

Answer:

B. 2nmv

Explanation:

Pressure is force over area.

P = F / A

Force is mass times acceleration.

F = ma

Acceleration is change in velocity over change in time.

a = Δv / Δt

Therefore:

F = m Δv / Δt

P = m Δv / (A Δt)

The total mass is nm.

The change in velocity is Δv = v − (-v) = 2v.

A = 1 and Δt = 1.

Plugging in:

P = (nm) (2v) / (1 × 1)

P = 2nmv

The 10/90 principle can be a powerful tool for taking control of your situation and improving your life. By taking responsibility for what you can change and focusing on your reaction to the situation, you can make positive changes in your life and become the master of your own destiny.

The 10/90 principle refers to the idea that life is made up of 10% of what happens to you and 90% of how you respond to it. In other words, you may not be able to control what happens to you, but you can control your reaction to it. By taking responsibility for what you can change rather than being a victim of what you cannot change, you can take control of your situation and improve your life.One example of a situation where the 10/90 principle could be applied is losing a job. Losing a job can be a devastating experience, and it can be easy to feel like a victim in this situation. However, by applying the 10/90 principle, you can take control of your situation and make positive changes in your life.The first step in applying the 10/90 principle in this situation would be to take responsibility for what you can change. This could mean updating your resume, networking with others in your field, and applying for new jobs. By taking action and doing what you can to find a new job, you are taking control of your situation and improving your chances of finding a new job.
The second step would be to focus on your reaction to the situation. Instead of dwelling on the negative aspects of losing your job, try to focus on the positive aspects. This could mean using the extra time to pursue a new hobby or spend more time with family and friends. By focusing on the positive aspects of the situation, you are taking control of your reaction and improving your overall well-being.
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Answer:

9.23m

Explanation:

Max height = u²sin²theta/2g

u is the speed = 34.7m/s

theta is the angle of elevation = 33°

g is the acceleration due to gravity = 9.8m/s²

Substitute into the formula

Max height = 24.7²sin²33/2(9.8)

Max height = 610.09sin²33/2(9.8)

Max height = 610.09(0.29663)/19.6

Max height = 180.97/19.6

Max Height = 9.23m

Hence the max height the football reaches during flight is 9.23m

Answer:

0.654 kN

Explanation:

If the driver accelerates from rest to 67 m/s in 8.4 seconds, then the magnitude of the acceleration is:

a = (67 - 0)/ 8.4 = 7.976 m/s^2

Then the net force on the 82 kg driver is:

F = m * a = 82 * 7,976 = 654 N

Therefore, in kN the force's magnitude is:  0.654 kN

The correct statement is (d) The charge on the plates is increased four times its original value.

What is parallel plate capacitor?  

A parallel plate capacitor is a type of capacitor that consists of two parallel conductive plates separated by a dielectric material. It is a type of capacitor used in electrical circuits to store electrical energy. The plates are usually made of metal and the dielectric material is usually a thin non-conductive material like paper or plastic. The size of the capacitor is determined by the distance between the plates and the dielectric material.

This is because the charge on the capacitor plates is proportional to the voltage across the plates and the capacitance, which is given by the formula C = ε_0 * A / d, where ε_0 is the electric constant and A is the area of the plates.

When the plate separation is decreased to d/4, the capacitance of the capacitor becomes C' = ε_0 * A / (d/4) = 4 * ε_0 * A / d, and thus the charge on the plates becomes Q' = C' * V = 4 * Q.

Therefore, The charge on the plates is increased four times its original value is the correct answer.

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Answer:

v = -9.8 (m/s2) t j

Explanation:

The velocity of the falling ball as a function of time is v = -9.8 (m/s2) t j and its position as a function of time is r = (4.9 m - ½ 9.8 (m/s2) t2) j.

Answer:

0.01j

Explanation:

the energy equals the work done by the bulb.

Workdone=

\(workdone = \frac{power}{time} \)

power=voltage×current

=9×0.2

=1.8 W.

THEREFORE,

time=3×60

= 180s

workdone=1.8/180

=0.01 j

If an atom contains 13 protons, then it has 13 electrons.

This question involves the concepts of the rectangular components of the vector and the resultant of the vectors.

The magnitude of the resultant force is "72.11 N", and it makes an angle of "33.7°" from one of the vectors.

The rectangular components of a vector are those components that have a right angle between them. The resultant of two rectangular components of a vector can be found using the following formula:

\(F = \sqrt{F_1^2+F_2^2}\)

where,

F = resultant force = ?

F₁ = First component of force = 40 N

F₂ = Second component of force = 60 N

Correction: The unit in question is given as m/s, while the unit of force is N. Hence, N is taken here.

Therefore,

\(F = \sqrt{(40\ N)^2+(60\ N)^2}\)

F = 72.11 N

The following formula can be used to find the angle of resultant from 60N vector:

\(\theta = tan^{-1}(\frac{40\ N}{60\ N})\\\\\)

θ = 33.7°

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The attached picture shows the resultant calculation for the rectangular components of a vector.

\(\text{Given that,}\\\\\vec A =3 \hat i + 4 \hat j - \hat k ~ \text{and}~ \vec B = 5\hat i + 6 \hat j +2 \hat k \\ \\\text{Now,}\\\\\vec A + \vec B = 3 \hat i +4 \hat j - \hat k + 5 \hat i + 6 \hat j + 2 \hat k\\\\~~~~~~~~~~=8 \hat i +10 \hat i + \hat k\)

The motorcycle had covered a distance of 16 meters in half the total time.

a) To calculate the acceleration, we can use the formula:

a = (v - u) / t

where a is the acceleration, v is the final velocity, u is the initial velocity (which is 0 since the motorcycle starts from rest), and t is the time.

Given:

u = 0 m/s (initial velocity)

v = ? (final velocity)

t = 4 s (time)

s = 64 m (distance)

Using the equation of motion:

s = ut + 1/2at^2

We can rearrange the equation to solve for acceleration:

a = 2s / t^2

a = 2(64) / (4)^2

a = 128 / 16

a = 8 m/s^2

Therefore, the acceleration of the motorcycle is 8 m/s^2.

b) To find the final velocity, we can use the formula:

v = u + at

v = 0 + (8)(4)

v = 32 m/s

Therefore, the final velocity of the motorcycle is 32 m/s.

c) To determine the time at which the motorcycle had covered half the total distance, we divide the total distance by 2 and use the formula:

s = ut + 1/2at^2

32 = 0 + 1/2(8)t^2

16 = 4t^2

t^2 = 4

t = 2 s

Therefore, the motorcycle had covered half the total distance at 2 seconds.

d) To calculate the distance covered in half the total time, we use the formula:

s = ut + 1/2at^2

s = 0 + 1/2(8)(2)^2

s = 0 + 1/2(8)(4)

s = 0 + 16

s = 16 m

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Answer:

Reflection

the angle of incidence is equal to angle of reflection

According to the law of reflection, the angle of incidence is equal to the angle of reflection. Hence option B is correct.

Reflection is the change of direction of the wave at the interface which separates two media. it get incident on the other media and get return to the same media is called as reflection. Common examples include the reflection of light, sound and water waves.

we can see that in the dark room when we incident light on the mirror, the direction of the light changes at the point of the incidence. in the scientific language we can say that light has reflected from the surface of the mirror. in this case  angle of incidence is always equal to angle of reflection.

Any mirror bounce back the incident light. therefore it is used to see our face. it reflects almost all the light to same medium from which light has been incident.

Hence option B is correct.

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Answer: 45 m/s and 80 m/s

Explanation:

The acceleration due to gravity on an object is 9.8 m/s^2

Simply multiple this my the the time that it has fallen (in seconds) and this will provide you with its velocity at that time.

(4.5 seconds) (9.8) = 44.1 m/s

(8 seconds) (9.8) = 78.4 m/s

Values are rounded off for the final answer.

The diagram best represents the steps in the formation of the sun is the clouds of gases condense > The clouds rotate at high speed > The clouds flatten into an elliptical disc > The planets are born. The correct option is D.

Planets are the large spherical shaped objects that rotate about the Sun in the elliptical orbits.

Planets are shaped from Planetary cloud. The dust storm and gases gathers under its own weight. The dense matter beginnings pivoting at high paces and accumulates more mass. The center structures, the star and rest of it ultimately levels into a curved plate from which planet is formed.

Thus, the correct sequence is D.

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During an earthquake, it is important to take appropriate steps to ensure safety

(i) When you are in the classroom

Drop, Cover, and Hold On: Quickly drop to the ground, take cover under a sturdy desk or table, and hold on to it to protect yourself from falling objects and potential structural collapse.

Protect Your Head: If possible, use your arms to cover your head and neck to provide additional protection.

Stay Indoors: Remain inside the classroom until the shaking stops and it is safe to exit. Be prepared for aftershocks, which are smaller tremors that may occur after the main earthquake.

(ii) When you are out of danger:

Evacuate to Open Space: If you are no longer in immediate danger, move quickly to an open space away from buildings, trees, streetlights, and utility wires that may pose a risk of falling or collapsing.

Watch for Falling Debris: Be aware of your surroundings and watch out for any hazards such as falling debris, broken glass, or damaged infrastructure.

Stay Clear of Buildings: Avoid entering damaged buildings or structures as they may be unstable. Keep a safe distance until authorities confirm it is safe to enter.

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The magnitude of the boat’s resultant velocity with respect to the starting point is 6.0 m/s. Hence, option (3) is correct.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

The velocity of the boat in  still water = 5 meters per second along east.

The velocity of stream =  3.3 meters per second along south.

Hence, the magnitude of the boat’s resultant velocity with respect to the starting point is = √(5² + 3.3²) m/s

=6.0 m/s.

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Explanation:

Thanx for the figure;
The force component of F   UP the ramp that  moves the crate must equal the force of the crate DOWN the ramp

75 kg = mg Newtons = 735.8 Newtons

    Downplane force is   735.8 sin 34°  = 411.4 Newtons

   Fn =The horizontal force will be found by   cos 34 = 411.4/ F                                                                       F = 411.4/cos (34) = 496 N

Normal Force =  735.8 cos 34°  = 610 N   This part is due to the mass of the crate....there is additional normal force from the force pushing the crate up the hill  (from below)

   = F sin34   =  496 sin 34 = 277.4 N

            SUM of normal forces = 610 + 277.4 = 887.4 N

Answer:

  a.  |F| ≈ 496 N

  b.  normal force ≈ 887 N

Explanation:

You want the magnitude of the horizontal force F that moves a crate up a 34° ramp at constant speed, and you want the magnitude of the normal force on the crate.

The constant speed of the crate tells you the net force up the ramp is zero. This is the sum of the component of force F in that direction and the force due to gravity in the opposite direction:

  F·cos(34°) - m·g·sin(34°) = 0

  F = mg·tan(34°) = (75 kg)(9.8 m/s²)tan(34°) ≈ 496 N

The magnitude of force F is about 496 N.

The normal force on the crate will be the sum of the component of F in that direction and the force due to gravity in the same direction:

  F·sin(34°) +m·g·cos(34°) ≈ 887 N

The magnitude of the normal force is about 887 N.

R2 and R3 in parallel are equivalent to a single resistor of 18.69 ohms.

In series with R1, that makes 58.69 ohms for all three uvum as a group.

A program that could do an instantaneous analysis of video motion will be useful it in a sportscast to analyze events as they occur.

A motion video is defined as the display of video images at a rate (such as thirty frames per second) that causes objects to appear to move smoothly and continuously.

Sports inherently involve fast and accurate motion, which can be difficult for competitors to master but also for coaches and trainers to analyze and audiences to follow. Because of the nature of most sports, monitoring with sensors or other devices attached to players or equipment is generally not possible. This opens up a plethora of opportunities for the use of computer vision techniques to assist competitors, coaches, and the audience

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