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3 years ago

Which energy depends the arbitrarily assigned zero level

1 answer:

8 0

Potential energy does.

A book on the floor has negative potential energy relative to the seat
of your chair, zero potential energy relative to the floor, and a whole
bunch of positive potential energy relative to the ground if the floor
is the floor of the passenger jet in which you are cruising and dropped
your book on the floor.

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A mass weighing 11 lb stretches a spring 4in. The mass is pulled down an additional 3 in and is then set in motion with an initi

Shtirlitz [24]

Answer:

a) $x(t) = 2.845\cdot \cos \left(1.732\cdot t -0.473\pi \right)$ , b) $T = 3.628\,s$ , $A = 2.845\,ft$ , $\phi = -0.473\pi$

Explanation:

a) The system mass-spring is well described by the following equation of equilibrium:

$\Sigma F = k\cdot x - m\cdot g = m\cdot a$

After some handling in physical and mathematical definition, the following non-homogeneous second-order linear differential equation:

$\frac{d^{2}x}{dt^{2}}+\frac{k}{m}\cdot x = g$

The solution of this equation is:

$x (t) = A\cdot \cos \left(\sqrt{\frac{k}{m} } \cdot t + \phi\right)$

The velocity function is:

$v(t) = \sqrt{\frac{k}{m} }\cdot A\cdot \sin \left(\sqrt{\frac{k}{m} }\cdot t +\phi \right)$

Initial conditions are:

$x(0\,s) = 0.25\,ft, v(0\,s) = -5\,\frac{ft}{s}$

Equations at $t = 0\,s$ are:

$0.25\,ft = A\cdot \cos \phi\\-5\,\frac{ft}{s} =\sqrt{\frac{k}{m} }\cdot A\cdot \sin \phi$

The spring constant is:

$k = \frac{11\,lbf}{0.333\,ft}$

$k = 33\,\frac{lbf}{ft}$

After some algebraic handling, amplitude and phase angle are found:

$\phi = -0.473\pi$

$A = 2.845\,ft$

The position can be described by this function:

$x(t) = 2.845\cdot \cos \left(1.732\cdot t -0.473\pi \right)$

b) The period of the motion is:

$T = \frac{2\pi}{\sqrt{\frac{k}{m} } }$

$T = 3.628\,s$

The amplitude is:

$A = 2.845\,ft$

The phase of the motion is:

$\phi = -0.473\pi$

8 0

4 years ago

A child picks a ball up from the ground, then places it on a table. The ball rolls on the

crimeas [40]

Answer:

A- The ball has both kinetic and potential energy,

Explanation:

kinetic energy by virtue of its motion.

potential energy by virtue of its position. (It could roll off the edge of the tabel and convert gravity potential energy to kinetic energy)

6 0

3 years ago

A car is traveling at a speed of 33 m/s . (a) what is its speed in kilometers per hour? (b) is it exceeding the 90 km/h speed li

Zina [86]

According to the statement:

a) speed is equal to 118 km/h in kilometres per hour.

b) yes it is exceeding 90km/h.

<h3>What does speed mean?</h3>

The pace at which an object's position changes in any direction is referred to as speed. Speed is defined as the ratio of something like the distance traversed to the time required to cover that distance. . . Speed is a scalar quantity since it just has a direction and no magnitude..

<h3>How are the speeds determined?</h3>

Speed is determined by dividing the distance by the time. Calculating the units for speed requires knowledge of the units for both time and distance.. The units in this example will be meters per second (m/s), since the distance is measured in meters (m) and the time is measured in seconds (s).

(a)s₂= 118.km/h is its speed in kilometres per hour.

1h = 3600s

1km = 1000m

s₂= (33m/s) * $\left(\frac{60 \times 60}{1000}\right)$

= 118.8km/h

s₂= 118.km/h

(b) yes it is exceeding 90km/h.

To know more about Speed visit:

brainly.com/question/28224010

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3 0

2 years ago

The un-ionized form of an acid indicator is yellow and its anion is blue. the ka of this indicator is 10â’5 . what will be the c

myrzilka [38]

color of the indicator in asolution of ph 3 will be yellow.

7 0

3 years ago

To apply the principle of superposition to overlapping waves, you should _____ of the individual waves.

loris [4]

The answer is d I believe

6 0

4 years ago