Answer:
x(t)=0.337sin((5.929t)
Explanation:
A frictionless spring with a 3-kg mass can be held stretched 1.6 meters beyond its natural length by a force of 90 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 2 m/sec, find the position of the mass after t seconds.
Solution. Let x(t) denote the position of the mass at time t. Then x satisfies the differential equation
Definition of parameters
m=mass 3kg
k=force constant
e=extension ,m
ω =angular frequency
k=90/1.6=56.25N/m
ω^2=k/m= 56.25/1.6
ω^2=35.15625
ω=5.929
General solution will be
differentiating x(t)
dx(t)=-5.929c1sin(5.929t)+5.929c2cos(5.929t)
when x(0)=0, gives c1=0
dx(t0)=2m/s gives c2=0.337
Therefore, the position of the mass after t seconds is
x(t)=0.337sin((5.929t)
Answer:
D and compound
Explanation:
because N2 is = to a compound
Answer:
The current at time t = 4.00 s is 0.766 A.
Explanation:
Given that,
The quantity of charge through a conductor is modeled as :
We need to find the current (in A) at time t = 4.00 s. We know that the rate of change of electric charge is called electric current. It is given by :
At t = 4 s
So, the current at time t = 4.00 s is 0.766 A. Hence, this is the required solution.
The difference between metal and non-metal in terms of condition is explained below.
Explanation:
- In metals, conduction occurs due to the aggregation of vibrations of molecules and free-electron distribution. While in non-metals, the mechanism for conduction is only atomic or molecular vibrations.
- Apart from free electrons, there are phonons in metals as well as non-metals. Non-metals hold a confined amount of thermal conductivity only due to Phonons and Lattice vibrations.
- Concerning atomic vibration in a solid thing (non-metals mainly), it is easier to know if one receives the fact that atoms are almost floating adjacent to one another depending on the covalent bonds between them.
- When a metal is heated the electrons quickly respond to the heat and transfer it to the nearby atom or solid touching it. As non-metals don't possess free electrons, the heat transfer happens due to phonons (the excited state of the lattice structure vibrating uniformly).
- In metals, this rarely plays a role as the electrons transfer most of the heat efficiently.
The efficiency of the kettle is 117.9%
<h3>What is
efficiency?</h3>
Efficiency is used to measuring how much work or energy we can conserve in a process. In other words, it is like comparing the output of the energy to the input of the energy in any given system.
It is also define as the ratio of Energy Input to the Energy Output. To express it in percent multiply it by 100.
Here, Efficiency = Energy output / Energy input
= 117.9%
So , the efficiency is 117.9%
For more Efficiency related question visit:
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