A 4 LBfweight is attached to a spring suspended from the ceiling. When the weight comes to rest at equilibrium, the spring has been stretched 3 inches. The damping constant for the system is 2 LBf−sec ft . If the weight is raised 9 inches above equilibrium and given an initial upward velocity of 2 ft/sec, determine the equation of motion of the weight and give its damping factor, quasiperiod and quasifrequency.

Answer:

Please find the complete question in the attached file.

Explanation:

The time is taken by ball A to reach the bottom [tex]\to t=\sqrt{\frac{2s}{a}}=\sqrt{\frac{2 \times 10}{5}}=\sqrt{\frac{2 0}{5}}= \sqrt{4}=2\ s[/tex]

Calculating the velocity of the ball:

[tex]-h=ut-\frac{1}{2}gt^2\\\\-S \sin 30=ut-\frac{1}{2}gt^2\\\\-5=u(2)-\frac{1}{2}\times 9.81 \times 2^2\\\\[/tex]

[tex]-5=2u-9.81 \times 2\\\\-5=2u-19.62\\\\-5+19.62=2u\\\\14.62=2u\\\\u=\frac{14.62}{2}\\\\u=7.31 \ \frac{m}{s}[/tex]

Answer:

Value of the resistors​ R = 2 ohm

Explanation:

Given:

Resistor R1 = 4 ohm

Resistor R2 = 4 ohm

Find:

Value of the resistors​ R

Computation:

We know that Resistor R1 and Resistor R2 connected in parallel series.

So,

Using common resistance in parallel series

⇒ 1/R = 1/R1 + 1/R2

⇒ 1/R = 1/4 + 1/4

⇒ 1/R = (1 + 1) / 4

⇒ 1/R = 2/4

⇒ R = 4/2

⇒ R = 2

Value of the resistors​ R = 2 ohm

Answer:

C) Potential energy due to intermolecular forces.

Answer:

a) pressure means force acted on a body per unit area

Answer:

The surface gravity g of the planet is 1/4 of the surface gravity on earth.

Explanation:

Surface gravity is given by the following formula:

[tex]g=G\frac{m}{r^{2}}[/tex]

So the gravity of both the earth and the planet is written in terms of their own radius, so we get:

[tex]g_{E}=G\frac{m}{r_{E}^{2}}[/tex]

[tex]g_{P}=G\frac{m}{r_{P}^{2}}[/tex]

The problem tells us the radius of the planet is twice that of the radius on earth, so:

[tex]r_{P}=2r_{E}[/tex]

If we substituted that into the gravity of the planet equation we would end up with the following formula:

[tex]g_{P}=G\frac{m}{(2r_{E})^{2}}[/tex]

Which yields:

[tex]g_{P}=G\frac{m}{4r_{E}^{2}}[/tex]

So we can now compare the two gravities:

[tex]\frac{g_{P}}{g_{E}}=\frac{G\frac{m}{4r_{E}^{2}}}{G\frac{m}{r_{E}^{2}}}[/tex]

When simplifying the ratio we end up with:

[tex]\frac{g_{P}}{g_{E}}=\frac{1}{4}[/tex]

So the gravity acceleration on the surface of the planet is 1/4 of that on the surface of Earth.

Answer:

Initially the acceleration is acceleration due to gravity and after that it is zero.

Explanation:

Describe the changes in speed and acceleration during the stages of a parachute jump. Jump from plane

As the person jump with the parachute and till the parachute is not opened, then in this condition, the acceleration is acceleration due to gravity due to which he moves in the downwards direction.

As the parachute is opened, the drag force of air and the buoyant force due to the air acts on the parachute in the upwards direction. So, the net acceleration is zero ad the force due to the gravity is balanced by the drag force and the buoyant force and thus the acceleration if zero and the person is safe.  

The Torque is only produced when the force is applied perpendicular to the moment arm.

The equal and opposite force acting at a point from the axis of rotation is called the moment.

M = F x r

Moment of force is also called as Torque.

Moment arm is the distance of the point of application of force from the axis of rotation of the body.

Thus, the perpendicular component only, produces the torque.

Learn more about moment of force.

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Energy can be transferred mechanically through the movement of the parts in machines, and when the motion or position of an object changes. Sound waves and seismic waves (formed during earthquakes) are mechanical waves that transfer energy through materials and from place to place.

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Answer:

The size of the force varies inversely as the square of the distance between the two charges. Therefore, if the distance between the two charges is doubled, the attraction or repulsion becomes weaker, decreasing to one-fourth of the original value.

Explanation:

Coulomb’s law, mathematical description of the electric force between charged objects. Formulated by the 18th-century French physicist Charles-Augustin de Coulomb, it is analogous to Isaac Newton’s law of gravity.

Both gravitational and electric forces decrease with the square of the distance between the objects, and both forces act along a line between them. In Coulomb’s law, however, the magnitude and sign of the electric force are determined by the electric charge, rather than the mass, of an object. Thus, charge determines how electromagnetism influences the motion of charged objects. Charge is a basic property of matter. Every constituent of matter has an electric charge with a value that can be positive, negative, or zero.

Coulomb's Law says that the force between 2 charges is proportional to the product of the quantities of charge on each and inversely proportional to the square of the distance between them. The formula for Coulomb's Law is [tex]F=k\frac{q_{1}q_{2} }{r^{2} }[/tex].

[tex]F[/tex] is the force.

[tex]k[/tex] is the Coulomb's constant ([tex]8.987*10^{9} \frac{Nm^{2} }{C^{2} }[/tex]).

[tex]q_{1}[/tex] is the electric charge of object 1.

[tex]q_{2}[/tex] is the electric charge of object 2.

[tex]r[/tex] is the distance between the two charges.

Electric force is inversely proportional to ([tex]r^{2}[/tex]) instead of ([tex]r[/tex]). As the distance between charges increases, the electric force decreases by a factor of [tex]\frac{1}{r^{2} }[/tex].

Knowing that the momentum(p) of an object is directly (when one number goes up the other will too) related to both the mass and velocity of an object or p=mv, two rolling bowling balls of different masses can have the same momentum because the one with the lower mass, has a higher velocity. The higher velocity of an object would make up for the lower mass and vice versa.

Answer:

Sample Response: Momentum is equal to the mass of an object multiplied by the velocity of an object. The two bowling balls can have the same momentum if the bowling ball with less mass has a higher velocity, and vice versa. As long as the product of the mass and velocity of one bowling ball is equal to the product of the mass and velocity of the other, the bowling balls will have the same momentum.

Explanation:

Answer:

a. Magnetic field is a location of a vector field around an electric current or magnet formed due to moving electric charges, or magnetic material and has a magnetic effect and exerts a force on other magnetic materials, electric current, and electric charges. The Earth's magnetic field that has the effect of turning a compass needle is an example of a magnetic field

b. The number of turns of the coil, N, in Diagram 1.1 > The number of turns of the coil, N, in Diagram 1.2

The pattern of the iron filings in Diagram 1.1 are closer with less space in between than the pattern of iron filings in Diagram 1.2

The angle of deflection of the ammeter pointer in Diagram 1.1 will be > The angle of deflection of the ammeter pointer in Diagram 1.2, given that the number of turns and current are inversely proportional

c. i. The pattern of the iron filings will have rings which are more closely arranged to each other as the strength of the magnetic field is increased

ii. As the number of turns is increased, the magnetic field is increased

Explanation:

Answer:

DU = 21 KJ

Explanation:

Given the following data;

Quantity of heat = 125 KJ

Work = 104 KJ

To find the change in internal energy;

Mathematically, the change in internal energy of a system is given by the formula;

DU = Q - W

Where;

DU is the change in internal energy.

Q is the quantity of energy.

W is the work done.

Substituting into the formula, we have;

DU = 125 - 104

DU = 21 KJ

Answer:

Explanation:

The equation for acceleration is

[tex]a=\frac{v_f-v_0}{t}[/tex] which is the final velocity minus the initial velocity divided by the time. I first need to put the units all in the same terms. We have the velocity given as km/hr, but the time is given in seconds and that's not gonna work. I will change the velocity to km/sec:

[tex]90\frac{km}{hr}*\frac{1hr}{3600s}=.025\frac{km}{s}[/tex] That's the value we will use for the final velocity of this car in the equation for acceleration:

[tex]a=\frac{.025-0}{10}=.0025\frac{km}{s^2}[/tex]

The second part of this problem asks how far the car travels in this 10 seconds. We just determined that the car can travel .025 km in 1 second, so in 10 seconds the car travels 10(.025) = .25 km

Answer:

C. It declared people’s freedom of political speech.

Explanation:

The English bill of rights limited the king's power and increased the power of the population. This is because after the declaration of rights, the king should take into account the will of the people so that he could be kept in power. On that occasion, the people should have understood that the king was not an absolute liber and that they had more political freedom to express when they felt the country was not being managed properly. This freedom was also given to the colonists, making them see themselves as an active factor within English politics and not a subordinate factor to the king.

Answer:

Energy is defined as the ability to do work.

Explanation:

Answer:

80 m

Explanation:

Given :

Initial Velocity, U = 28 m/s

θ = 45°

The maximum range occurs at angle, θ = 45°

The maximum range, R is given by ;

R = U²sin2θ / g

g = acceleration due to gravity = 9.8 m/s²

Plugging in the values :

R = [28² * sin2(45)] / 9.8

R = [28² * sin90] / 9.8

R = 784 / 9.8

R = 80 m

Answer:

Deflating the tires by pulling the valve stems

Explanation:

When an accident happens, the EMT process is to take off the top of the vehicle of the highly damaged vehicle so that it can easily be assessed to rescue the vehicle occupants. This creates a bigger exit for the rescuers to take out the people. Vehicle extrication means removing the vehicle from around someone involved in a fatal collision, when other other ways of exiting is not advised or possible. to stabilize the vehicle you have to deflate all tires by pulling the valve stems.

Answer:

R = 0.86 m

Explanation:

The formula for the range of the projectile motion can be used here:

[tex]R = \frac{v^2 Sin2\theta}{g}[/tex]

where,

R = Range of projectile = distance between Jake and Fred = ?

v = launch speed = 3 m/s

θ = Launch Angle = 35°

g = acceleration due to gravity = 9.81 m/s²

Therefore,

[tex]R = \frac{(3\ m/s)^2Sin[(2)(35^o)]}{9.81\ m/s^2}\\\\[/tex]

R = 0.86 m

Answer:

[tex]a=0.33\ m/s^2[/tex]

Explanation:

For washer 2,

v₁ = 0.13 m/s

v₂ = 0.36 m/s

t₁ = 1.92

t₂ = 2.61

We need to find the acceleration of waster 2.

[tex]a=\dfrac{v_2-v_1}{t_2-t_1}\\\\a=\dfrac{0.36-0.13}{2.61-1.92}\\\\a=\dfrac{0.23}{0.69}\\\\a=0.33\ m/s^2[/tex]

So, the acceleration of washer 2 is [tex]0.33\ m/s^2[/tex].

Answer:

.33

Explanation:

Answer:

True

Explanation:

Speed = distance/time

If distance and time are the same, then the right hand side of the equation remains the same, causing us to solve the left to the same value

As the distance is the same (say 50m) and the time is the same (say 50s) then the speed must be the same (1m/s)

Answer:

The answer is "91 m"

Explanation:

[tex]v_0 = 2.5 \ \frac{m}{s}\\\\a = 4.2\ \frac{m}{s^2}\\\\t = 6.0\ s\\\\\Delta x=?[/tex]

Using formula:

[tex]\Delta x = v_0 t +\frac{1}{2} at^2\\\\[/tex]

      [tex]= 2.5 \times 6.0 +\frac{1}{2} \times 4.2 \times 6.0^2\\\\= 90.6\ m \approx 91\ m[/tex]

Answer:

(a) t = 0.75 s

(b) d = 26 m

Explanation:

Height, h = 12 m

Angle, A = 30 degree

initial velocity, u = 40 m/s

(a) Let the time is t.

Use second equation of motion

 [tex]h = u t + 0.5 at^2\\\\12 = 40 sin 30 t - 0.5 \times10 \times t^2\\\\12 = 20 t - 5 t^2\\\\5 t^2 - 20 t + 12 =0 \\\\t = \frac{20\pm \sqrt{400-240}}{10}\\\\t = \frac{20\pm 12.65}{10}\\\\t = 3.3 s, 0.75 s[/tex]

(b) d = u cos A t

d = 40 x cos 30 x 0.75 = 26 m

Answer:

I = 0.2 A

Explanation:

Lamp is rated at 300 mA

I_lamp = 0.3 A

Voltage is; V = 3V

Thus; Resistance is given by;

R = V/I

R = 3/0.3

R = 10 ohms

Now, since the ammeter of 5 ohms is connected in series with the lamp. Thus equivalent resistance;

R_eq = 10 + 5

R_eq = 15 ohms

Ammeter current will be;

I = V/R_eq

I = 3/15

I = 0.2 A

Answer:

Explanation:

If the distance to the end of the road was 40 m, and she traveled back to where she started, she traveled a total distance of 80 m. It took her 100 seconds to travel the 80 m.

Based on the given distance-time graph, the number of seconds that Angela used to go to the end of the road and arrive back is 100 seconds.

The end of the road is 40m and coming back is also 40 m. The total distance is:

= 40 + 40

= 80m

The graph shows that to walk 80 meters, Angela took a 100 seconds because the line on the graph ends at 80 m and 100 seconds.

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The Earth orbits around the sun because the gravitational force that the sun

exerts on the Earth:

O A. causes Earth's acceleration toward the sun.

O B. is very small because the sun is so far from the Earth.

O c. is smaller than the force the Earth exerts on the sun.

O D. pushes the Earth away from the sun.

O A. causes Earth's acceleration toward the sun.

I hope this helps, have a nice time ahead!

Answer:

The molecules of oil are more packed together than those of air.

Answer:

p is =force x 10 whch is constant

Answer:

you are kind of better than I am I don't read much but with brainly I will be intelligent

Answer:

Force = 3.333 Newton

Explanation:

Given the following data;

Change in momentum = 10 Kgm/s

Time = 3 seconds

To find the force acting on it;

In Physics, the change in momentum of a physical object is equal to the impulse experienced by the physical object.

Mathematically, it is given by the formula;

Force * time = mass * change in velocity

Impulse = force * time

Substituting into the formula, we have;

10 = force * 3

Force = 10/3

Force = 3.333 Newton