How is calculating amplitude

A mass of 100 g stretches a spring 5 cm. If the mass is set in motion from its equilibrium position with a downward velocity of

garri49 [273]

Answer:

$w_{0}=14$

$t=\frac{\pi }{14}$

Explanation:

Data

mass m= 100g

Length L= 5cm

we can use:

gm-kL= 0

divide both side by m

g - $\frac{kL}{m}$ =0

where

$\frac{k}{m}$ = $\frac{g}{L}$

$\frac{k}{m}=w_{0}$ ^{2}

so now

$w_{0}^{2}$ = $\frac{9.8*100}{5}$

$w_{0}^{2}=\frac{980}{5}$

$w_{0}^{2}=196$

square both side

$w_{0}=\sqrt{196}$

$w_{0}=14$

We can apply:

u(t)=Acoswt +Bsinwt

u(t)=Acos14t +Bsin14t

u(0)=0 where A=0

therefore

u(0) = Bsin14t

$u^{'}$ (0) = 10 ⇒ 10=14B ⇒ B= $\frac{14}{10}$ B= $\frac{5}{7}$

so now u(t)= $\frac{5}{7}$ sin14t

so t will be:

t= $\frac{\pi }{14}$

t= $\frac{3.14}{14}$

t=0.22 seconds

8 0

3 years ago

From the last problem, what is the ratio of the ppm change in CO2 to the ppm change in CH4? Assume that the concentrations of CO

xxMikexx [17]

An additional 10ppm of methane will change the upward IR heat flux (in tropical

atmosphere) from 289.29 W/m2

to 286.211 W/m2

, which is a reduction of 3.08

W/m2

.

An additional 10ppm of CO2 will change the upward IR heat flux from 289.29 W/m2

to 289.29 W/m2

, which is a change of 0.13 W/m2

.

Therefore, an additional 10 ppm of methane would have a much larger impact on

the outgoing infrared flux than an additional 10 ppm of CO2 at current

concentrations

3 0

3 years ago

Which velocity graph shows the car moving toward the right (away from the origin) at a steady (constant) velocity?

slega [8]

Explanation:

$\text{Velocity is defined as the average displacement per unit time.}$

$\text{Since the car is moving at a steady velocity, the velocity does not change over time, it shows a horizontal line on the }v-t\text{ graph}$

$\text{Therefore, only option 2,5,8 matches this requirement.}$

$\text{Since the car is moving to the right, which is defined as the positive direction in this question, the velocity (}v\text{) is also positive.}$

$\text{Therefore, only option 5 is correct.}$

6 0

3 years ago

How long would it take the wind in a martian dust storm, moving at a speed of 150km/h, to encircle the planets equator?

goldfiish [28.3K]

21343 km / 150 km/hr = 142.29 hrs

7 0

3 years ago

What is a calorimeter used to measure? heat exchange due to energy flow energy exchange due to heat flow absolute temperature wi

Mamont248 [21]

Calorimeter is an instrument which is used for measurement of heat liberation or absorption from a system during the flow of energy.

Answer: Option A

Explanation:

When the heat is liberated from the system, during the flow of energy it undergoes a exothermic reaction. Similarly, when the heat is absorbed by the system during the flow of energy, the system undergoes an endothermic reaction.

The calorimeter as the name suggest is the meter to calibrate calorie. Calorie here refers to the heat energy, which is being calibrated or measured during the flow of energy, either liberated from the system or being absorbed by the system.

8 0

3 years ago

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How is calculating amplitude​

How is calculating amplitude