Answer:
x=±0.026m
Explanation:
In simple harmonic motion the maximum value of the magnitude of velocity

The speed as a function of position for simple harmonic oscillator is given by

where A is amplitude of motion
Given data
Amplitude A=3 cm =0.03 m
v=(1/2)Vmax
To find
We have asked to find position x does its speed equal half of is maximum speed
Solution
The speed of the particle the maximum speed as:

x=±(√3(0.03)/2)
x=±0.026m
Answer:
D- Only the 2nd law of thermodynamics
Explanation:
It violates 2nd law because according to 2nd law of thermodynamics, it is impossible that the sole result of a process is is to absorb energy and do equivalent amount of work. so some heat must lose to surrounding which is not specified here. so it violates 2nd law.
so option D is correct
Answer:
26.06
Explanation:
One thing to note first is that, after the ethyl alcohol and water is mixed, the heat energy (Q) is equal for both of them. So:
<h3>m c ΔT (water) = m c ΔT (ethyl) </h3>
Second thing to note is that ΔT is just the absolute value of the final temperature of the solution minus the initial temperature of the ethyl, or water. So the previous equation becomes:
<h3>m c (Tfin - Tinit) (water) = m c (Tfin - Tinit) (ethyl) </h3>
And since we know the mass and specific heat of the water and ethyl alcohol, we can substitute those in:
<h3>2093(Tfin - 22) = 1225(33 - Tfin) </h3>
(I wrote 33 - Tfin for ethyl because ΔT should be a positive number in this case)
Now finally we can expand out the parenthesis and use a little algebra to solve:
<h3>2093Tfin - 46046 = 40425 - 1225Tfin</h3>
Now use algebra to separate the Tfin coefficients onto one side and everything else on the other, and we get:
<h3>3318Tfin = 86471</h3>
And when you divide both sides be 3318, you get your answer of:
<h3>Tfin = 26.06118 or 26.1 for significant figures</h3>
Hope that helps!
Answer:
45 kg is the mass of a table that weights 441 newton.