Physics, 14.02.2020 01:20 jose477

The position of an object connected to a spring varies with time according to the expression x (5.2 cm) sin (8.0 pt). Find (a) the period of this motion, (b) the frequency of the motion, (c) the amplitude of the motion, and (d) the fi rst time after t 0 that the object reaches the position x 2.6 cm.

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Answer from: payshencec21

A. Period (T) = 0.25rad/s

B. Frequency (f)= 4.0hz

C. Amplitude (A) = 5.2cm

D. Time (t) = 0.6256secs

Explanation:

A. Firstly, we Compare the equation

x = (5.2 cm) sin (8.0π t)

with

x=Asin(ωt) (General equation)

Then

ω= 2πt

=> T=2π/ ω =

= 2 π/8.0π=0.25rad/s

B. frequency (f) = 1/T

= 1/0.25

= 4.0hz

C. A = 5.2 cm by comparison with the general equation.

D. x = Asin(ωt)

2.6 = 5.2sin (8.0π t)

sin (8.0π t) =

2.6/5.1 = 0.5098

(8.0π t)=sin⁻¹0.5098 = 30.650

t = 30.650/8.0π

t = 0.6256secs

Answer from: Quest

answer: the correct answer is 1.

explanation: there are various process in which a radioactive nuclei decays:

1) alpha decay: in this process, a heavier nuclei decays into lighter nuclei by releasing alpha particle. the mass number is reduced by 4 units.

$_a^z\textrm{x}\rightarrow _{a-2}^{z-4}+_2^4\alpha$

2) electron capture: in this decay process, a parent nuclei absorbs an electron and gets converted into a neutron. simply, a proton and an electron combines together to form a neutron. mass number does not change in this process.

$_a^z\textrm{x}+_{-1}^0\textrm{e}\rightarrow _{z-1}^a\textrm{y}$

3) gamma ray emission: it is a decay process in which an unstable nuclei gives excess energy by a spontaneous electromagnetic process. this decay releases $\gamma -radiations$ . this process does not change the mass number.

$_a^z\textrm{x}^*\rightarrow _a^z\textrm{x}+_0^0\gamma$

4) positron emission: it is a type of decay process, in which a proton gets converted to neutron and an electron neutrino. this is also known as $\beta ^+$ -decay. in this the mass number remains same.

$_a^z\textrm{x}\rightarrow _{z-1}^a\textrm{y}+_{+1}^0e$

from the above information, we see that only alpha-decay is producing a change in the mass number of the nucleus.

Answer from: Quest

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.

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