**Answer:**

the damping coefficient when the system is critically damped is** 13.42 lb s/ft**.

**Explanation:**

The directions are missing the last part, which is:

"A mass weighing 30 lb stretches a spring 7.5 in. The mass is also attached to a damper with coefficient γ. Determine the value of γ for which the system is critically damped. Assume that

Round your answer to three decimal places."

The **spring system is determined by the following differential equation**

where is the damping coefficient, thus **it is critically damped when the system transitions from real to complex solutions** that happens at

**Solving for the damping coefficient.**

where the spring constant k is given by

And the mass is given by

So the damping coefficient will be

Replacing the given information we have:

Thus we get

The value of **the damping coefficient when the system is critically damped is 13.42 lb s/ft.**

First let’s pick one at random

Less than 5 percentile

That means they lined 100 kids up and less than 5% of them are that certain weight.

So if you apply this to every option you will see the answer is

A). Less than 5 percentile

**Answer:**

Use the formula =1/2^2

**KE = kinetic energy**

**m = mass of a body**

**v = velocity of a body**

** kinetic energy (KE) is equal to half of an object's mass (1/2*m) multiplied by the velocity squared. For example, if a an object with a mass of 10 kg (m = 10 kg) is moving at a velocity of 5 meters per second (v = 5 m/s), the kinetic energy is equal to 125 Joules, or (1/2 * 10 kg) * 5 m/s^2.**

* Hopefully this helps:) Mark me the brainliest:)!!!

As we know that centripetal acceleration is given as

so here we all know that radius of curvature of straight surface or flat surface is infinite or very large

So here acceleration will be zero when it move on flat surface

So here at points "w" , "x" , "z" the surface will be flat surface

and hence the observer will not experience centripetal acceleration

while at point Y the surface is curved and hence the observer will experience centripetal acceleration

Force, distance and time

**Explanation:**

Power is the rate at which work is being done:

Power =

The quantity force x distance is the work done by a body.

Force is the applied pull or push on a body that causes it change position.

It is important to know the work done and the time taken for the work to be done when considering power.

The unit of power is watt or J/s

learn more:

Power brainly.com/question/10421964

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