A ball rolls from x=3.85m to x=22.1m in 5 seconds. What was its average velocity

Answer:

Period is proportional to (L / g)^1/2

Only the length of the string and the force of gravity will affect the motion of a simple pendulum.

The time period of a pendulum depends on the length of pendulum, acceleration due to gravity and to some extends its amplitude also.

A simple pendulum is a suspended body with one of its end fixed on a support and it is free to swing back and forth. The equation for the time period of simple pendulum is written as:

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

Hence, the factors which affects the time period of pendulum are length  and acceleration due to gravity g. This time period of the pendulum is the time taken to cover one complete oscillation.

Up to some extend the amplitude of the swing may affect the time period. However, mass has no effect on the period of a simple pendulum.

To find more on pendulum, refer here:

https://brainly.com/question/14798353

#SPJ2

58775.51 J kinetic energy is lost,

Energy lost = 0.5*mv²

= 0.5*8000/9.8 * 12*12

= 58775.51 J

To calculate the energy loss of a moving object, subtract the initial kinetic energy from the final kinetic energy, where the initial and final kinetic energies are calculated using the formula 1/2*M*V^2.

When energy is transformed from one form to another or moved from one area to any other, or from one device to another there's energy loss. This means whilst energy is converted to a different form, some of the entering energy is become an especially disordered form of energy, like heat.

Learn more about kinetic energy here: https://brainly.com/question/8101588

#SPJ4

Answer:

D. It is a guess about how something in nature happens.

Explanation:

Nature is not controlled by anyone else, so people have to guess in order to know if something happend in nature.

Answer:

Q/4πε0 [1/R - 1/√R2+d2]

Explanation:

Q/4πε0 [1/R - 1/√R2+d2] is the answer

explanation is attached.

toppr

The angular acceleration of the drill is 2687.5 rev/s2

Given that operating speed of drill machine is 387000 rpm and the time given is 2.4s

We need to find the angular acceleration of the drill

Angular Acceleration is defined as the time rate of change of angular velocity.

The angular acceleration is also known as rotational acceleration.

It is a quantitative expression of the change in angular velocity per unit time.

The formula of angular acceleration is α =Δω/Δt

To find angular acceleration

α =Δω/Δt

Where Δω is the change in angular velocity

Δt is the change in time

Substituting the value  We get ,

  [tex]= \frac{387*10^3*1/60}{2.4}[/tex]

Therefore ,

α = 2687.5 rev/s2

Hence the angular acceleration is 2687.5 rev/s2

Learn more about angular acceleration here

https://brainly.com/question/21278452

#SPJ4

The satellite is 8.02 × 10⁵ m above Earth's surface.

Let H be the height above the surface of the Earth; since we know that the satellite is rotating around the Earth due to the gravitational pull of the planet, we may assert

Procedure to solve:

F = mv²/R+H

H = mv²/F - R

H = (1160 × 7446²/8955 - 6.38 × 10⁶)

M = 8.02 × 10⁵ m

About centripetal force:

The force applied to an item that is in velocity of  curved motion that is pointed toward the axis of rotation or the centre of curvature is known as a centripetal force.

The centripetal force formula is given as the product of mass (in kg) and tangential velocity (in meters per second) squared, divided by the radius (in meters) that implies that on doubling the tangential velocity, the centripetal force will be quadrupled. Mathematically it is written as:

F = mv²/r

Learn more about velocity here:

https://brainly.com/question/18084516

#SPJ4

Answer:

8.02x 10^5 m

Explanation:

quiz

Answer:

Gravitational Potential Energy = Mass*Gravity*Height.

GPE = 852 * 9.8 * 3.2

GPE = 26718.72 Newtons.

Positive charges are gathered on the neutral electroscope near the negatively charged strip.

To find the answer , we need to know about the induction of charge.

Thus, we can conclude that the positive charges are gathered on the neutral electroscope near the negatively charged strip.

Learn more about the induction of charge here:

brainly.com/question/15589787

#SPJ4

Answer:

40 gm

Explanation:

size one   is     1/3 of size 3  

 so the mass is also 1/3

     1/3 * 120 gm = 40 gm

When you "Rate," or analyze, the consequences of your decisions, HELP can assist an individual with: B. evaluating the consequences of his or her decisions.

The decision-making process refers to a cognitive process that involves obtaining information, analyzing them, and then evaluating alternatives, so as to enable the proper selection of an optimum solution (choice) to a particular problem.

Based on personal health skills, we can infer and logically deduce that HELP can assist an individual with evaluating the consequences of his or her decisions when he or she "Rate," or analyze, the consequences of your decisions.

Read more on decision-making process here: https://brainly.com/question/8649509

#SPJ1

Complete Question:

When you "Rate," or analyze, the consequences of your decisions, HELP can assist you with which of the following?

A. identifying what is most important.

B. evaluating the consequences of decisions.

C. determining what decision needs to be made.

D. narrowing the possibilities and acting on the best one.

Considering the definition of kinetic energy, the bullet has a kinetic energy of 156.25 J.

Kinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.

Kinetic energy is defined as the amount of work necessary to accelerate a body of a given mass and in a rest position, until it reaches a given speed. Once this point is reached, the amount of accumulated kinetic energy will remain the same unless there is a change in speed or the body returns to its rest state by applying a force to it.

The kinetic energy is represented by the following expression:

Ec= ½ mv²

Where:

In this case, you know:

Replacing in the definition of kinetic energy:

Ec= ½ ×0.500 kg× (25 m/s)²

Solving:

Ec= 156.25 J

Finally, the bullet has a kinetic energy of 156.25 J.

Learn more about kinetic energy:

https://brainly.com/question/25959744

https://brainly.com/question/14028892

#SPJ1

Answer: 0.625 m

Explanation:

Given:

Final velocity of the car = 3.5 m/s

While the car rolls down the hill, there is a conversion of potential energy (PE)  to kinetic energy (KE). Therefore, applying the conversion of energy as,

[tex]$$Total energy at height $(\mathrm{h})=$ Total energy at bottom$$\begin{aligned}&K E+P E=K E^{\prime}+P E^{\prime} \\&0+m g h=\frac{1}{2} m v^{2}+O \\&m g h=\frac{1}{2} m v^{2}\end{aligned}$$[/tex]

Here, m denotes the mass of the car, g is the gravitational acceleration, having a value of 9.8 m/s^2.  And h is the height of the hill.

Solving for h,

[tex]\begin{aligned}&g h=\frac{l}{2} v^{2} \\&h=\frac{1}{2} \times \frac{v^{2}}{g} \\&h=\frac{1}{2} \times \frac{3.5^{2}}{9.8} \\&h=0.625 \mathrm{~m}\end{aligned}[/tex]

Therefore, the required height of hill is 0.625 m

Answer:

I = M R^2 is the moment of inertia about a point that is a distance R from the center of mass (uniform distributed mass).

The moment  of inertia about the center of a sphere is 2 / 5 M R^2.

By the parallel axis theorem the moment of inertia about a point on the rim of the sphere is  I = 2/5 M R^2 + M R^2 = 7/5 M R^2

I = 7/5 * 20 kg * .2^2 m = 1.12 kg m^2

2.49 cm/s is the maximum speed of vibrating heart.

Given,

Frequency of ultrasonic wave = 2.57 MHz = 2.57 ×[tex]10^{6}[/tex] Hz

Speed of ultrasound = 1540m/s

The maximum frequency shift = 100 Hz

Maximum speed of heart = ?

By using Doppler equation

[tex]f1 = f0(\frac{c + v}{c} )[/tex] …..(1)

[tex]f2 = f1 (\frac{c}{c - v} )[/tex] …..  (2)

From equation (1) & (2)

[tex]f2= f0(\frac{c+v}{c-v} )[/tex]

[tex]f2 = 2.57[/tex] ×[tex]10^{6} + 100 = 2570100[/tex] Hz

[tex]f0 = 2570000[/tex] Hz

c = 1540 m/s

So,

[tex]2570100 = 2570000(\frac{1540 + v}{1540 - v} )[/tex]

1.00003(1540-v) = 1540+v

1540.05 - 1.00003v = 1540 +v

2.00003v = 0.05

v= 0.0249 m/s

v= 2.49 ×[tex]10^{-2}[/tex] m/s

v= 2.49 cm/s

So, the maximum speed of vibrating heart is 2.49 cm/s

Learn more about Doppler equation here https://brainly.com/question/14082883

#SPJ4

A conductor that is conducting current generates a magnetic field everywhere around it. This magnetic field exerts force on the compass's magnetic needle, causing the needle to deviate.

Definition of Maxwell's rule

A current-conducting conductor creates a magnetic field everywhere around it. The magnetic needle of the compass experiences force from this magnetic field, which causes the needle to veer.

Equation for deflection

We have so far established that the total flux of electric field out of a closed surface is just the total enclosed charge multiplied by 1/ε0, ∫→E⋅d→A=q/ε0. This is Maxwell's first equation. It represents completely covering the surface with a large number of tiny patches having areas d→A.

To learn more about magnetic field refer : https://brainly.com/question/24761394

#SPJ4

Compensation may be provided, and a temporary residence provided, to the family so that they may make necessary adjustments to their living arrangements and other work-related matters. Even if it's not the nicest way to go about things, it's the most effective.

Generally, Money given to a successful plaintiff in civil litigation is known as "compensatory damages." Damage awards are handed out by the civil justice system.

In conclusion, Engineers have a responsibility to find optimal solutions that satisfy the demands of the public in a manner that is both practical and beneficial to the progress of the country as a whole. In this case, forcing the farm family to relocate would be very difficult and upsetting for them, but it would be quite useful for the community as a whole if a road were to be constructed.

Read more about compensation

https://brainly.com/question/13755469

#SPJ1

The spectrum seen is the absorption spectrum. The wavelengths corresponding to those of the material through which light is being passed are absorbed, which leads to the occurrence of several dark lines in the spectrum.

White light when the incident with the object caused it to absorb the wavelengths corresponding to its excitation energy. These are characteristics of a particular atom/molecule.

Hence using this those can be identified. The absorption of the external energy leads the atoms to go to an excited state, hence the temperature increases.

Learn more about wavelengths here: https://brainly.com/question/19385753

#SPJ4

Answer:

Special metal hangers or stirrups called joist hangers are used when joist must be flush with the bottom of the girder or beam.

Explanation:

Thus, special metal hangers or stirrups called joist hangers are used when joist must be flush with the bottom of the girder or beam.

Learn more about construction here:

https://brainly.com/question/14428327

#SPJ4

Answer:

F = M a = M v^2 / R

If v is increased by three the force will be increased by nine,

C) is correct

The cost of boiling 500 cm³ of water using the 3 KW Kettle is 1.35p

This is defined as the rate in which energy is consumed. Electrical power is expressed mathematically as:

Power (P) = Energy (E) / time (t)

P = E / t

E = Pt

E = 3 × 0.05

E = 0.15 KWh

Cost = Energy × cost per unit

Cost = 0.15 × 9

Cost = 1.35p

Learn more about electrical power:

https://brainly.com/question/64224

#SPJ1

B. The velocity of the particle with respect to the acceleration is √x + 4.

Velocity is the rate of change of displacement with time.

The velocity of the particle with respect to the acceleration of the particle is calculated as follows;

vf = v₀ + at

where;

vf(x) = 2 + (√x + 2)

vf(x) = √x + 2 + 2

vf(x) = √x + 4

Learn more about velocity here: https://brainly.com/question/6504879

#SPJ1

In order to use the efficiency of a car engine in an optimal way, a maximum engine speed of 2500 RPM for shifting is recommended for gas engines.

A car's fuel efficiency is determined by how well it converts the energy in its fuel into kinetic energy for movement.

Most of the time, it's advisable to maintain a speed below 2500 rpm for economic reasons.

Range of 2000-2500 rpm is the best for shifting as

1) It is the most favorable range for the engine due to economic reasons.

2) It saves fuel.

3) It also keeps the engine heavy.

After this range, the economy usually declines.

Even though moving gears doesn't significantly affect engine life due to technological developments, but shifting for gas engines is recommended at 2000-2500 rpm.

Hence, 2500 rpm is the maximum engine speed recommended for gas engines for shifting.

Learn more about efficiency of car engine here https://brainly.com/question/11775858

#SPJ4

The magnitude (in N) of the electric force that one particle exerts on the other is A. F=107.6nN.

F=[(9×10^9) ×(7.10×10^-9) ×(4.42×10^-9)] /(1.62^2)

F=(282.4×10^-9)/2.6244

F=107.6×10^-9N

F=107.6nN

Experiments with electric charges have shown that two charged objects exert electrical forces on each other. The magnitude of the force is linearly proportional to the net charge of each object and inversely proportional to the square of the distance between the objects.

Coulomb's law for calculating electrostatic forces. This force arises from the interaction between two charged objects (or point charges), the magnitude of which is calculated by F = kQ1Q2r2 F = k Q 1 Q 2 r2.

Learn more about the electric field  here: https://brainly.com/question/14372859

#SPJ4

Answer:

4/3 pi R^3 = pi r^2 L     equating volume of sphere and wire

r = (4 R^3 / 3 * L)^1/2      solving for radius of wire

r = (4 * 6^3 / 3 * 32)^1/2

r = 9^1/2 cm = 3 cm = .03 meters

when it comes to describing the singularity thought to be at the center of a black hole Quantum physics and Einsteinʹ s general theory of relativity theories disagree.

What is the singularity of a black hole?

According to  Einsteinʹ s general theory of relativity:

from this we can say that,

It doesn't agree the concept of  describing the singularity thought to be at the center of a black hole

Hence,

when it comes to describing the singularity thought to be at the center of a black hole Quantum physics and Einsteinʹ s general theory of relativity theories disagree.

Learn more about black hole here:

https://brainly.com/question/10597324

#SPJ4

The direction of the magnetic force on the wire is west.

The magnetic force acting on the moving protons acts northward in the horizontal plane. If the thumb is up (current flows vertically up), the wrapped finger will be counterclockwise.

Therefore, the direction of the magnetic field is counterclockwise. Here, the magnetic field is pointing upwards (vertical magnetic field) and the electrons are moving east. Applying Fleming's left-hand rule here, we can see that the direction of force is along the south direction.

As the change in magnetic flux increases upwards, Lenz's law indicates that the induced magnetic field of the induced current must resist and the inside of the loop must be directed downwards. Using the right-hand rule, we can see that a clockwise current is induced.

Learn more about the magnetic fields here: https://brainly.com/question/7802337

#SPJ4

The direction of the magnetic force on the wire is vertically downward.

We will locate the magnetic area this is as a result of transferring charges and the usage of a second right-hand rule.

The magnetic area is made by using a modern immediate wire that curls across the cord in a ring. You can discover it via pointing your right thumb in the path of the cutting-edge inside the wire and curling your fingers.

Right-hand thumb rule: in line with this rule, if we believe the linear cord conductor to be held in the grip of the right hand so that the thumb factors inside the path of the contemporary, then the curvature of the palms across the conductor will represent the route of magnetic discipline traces.

Learn more about the Right-hand thumb rule here: https://brainly.com/question/14434299

#SPJ4

Answer:

Amount                              Unit

132.48935                    kilogram

132489.35                       gram

132489350                      milligram

0.13248935                             ton

292.08925642428        pound (lb)

662446.75                              carrat

2044623.1271428                        grain

7.9786897063466E+28 atomic mass unit