Water<span> and the </span>atmosphere<span>. </span>Water enters the atmosphere through<span> evaporation, transpiration, excretion and sublimation: Transpiration is the loss of </span>water<span> from plants (</span>via<span> their leaves).</span>
Answer:
A protractor to measure the angle of the inclined plane with the horizontal
Explanation:
The student needs to lift the free end of the adjustable inclined plane until the object barely starts sliding, and measure the angle at which such happens. At that point, the force of friction equals the component of the weight in the direction of the incline. That is:
![f=\mu\,* N = \mu * m g\, cos(\theta)](https://tex.z-dn.net/?f=f%3D%5Cmu%5C%2C%2A%20N%20%3D%20%5Cmu%20%2A%20m%20g%5C%2C%20cos%28%5Ctheta%29)
and ![w_{//}= m\,g\,sin(\theta)](https://tex.z-dn.net/?f=w_%7B%2F%2F%7D%3D%20m%5C%2Cg%5C%2Csin%28%5Ctheta%29)
Then
![f = w_{//}\\\mu *\,m \,g\,cos(\theta) = m\,g\,sin(\theta)\\\mu = tan(\theta)](https://tex.z-dn.net/?f=f%20%3D%20w_%7B%2F%2F%7D%5C%5C%5Cmu%20%2A%5C%2Cm%20%5C%2Cg%5C%2Ccos%28%5Ctheta%29%20%3D%20m%5C%2Cg%5C%2Csin%28%5Ctheta%29%5C%5C%5Cmu%20%3D%20tan%28%5Ctheta%29)
and therefore, the coefficient of static friction is fully determined just by calculating the tangent of the angle that the incline forms with the horizontal.
Then the only extra instrument needed is a protractor to measure the angle.
<h2>
Answer:</h2>
400N/m
<h2>
Explanation:</h2>
When n identical springs of stiffness k, are attached in series, the reciprocal of their equivalent stiffness (1 / m) is given by the sum of the reciprocal of their individual stiffnesses. i.e
= ∑ⁿ₁ [
] -----------------------(i)
That is;
=
+
+
+ . . . +
-------------------(ii)
If they have the same value of stiffness say s, then equation (ii) becomes;
= n x
-----------------(iii)
Where;
n = number of springs
From the question,
There are 3 identical springs, each with stiffness of 1200N/m and they are attached in series. This implies that;
n = 3
s = 1200N/m
Now, to calculate the effective stiffness,m, (i.e the stiffness of a longer spring formed from the series combination of these springs), we substitute these values into equation (iii) above as follows;
= 3 x ![\frac{1}{1200}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B1200%7D)
= ![\frac{3}{1200}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B1200%7D)
= ![\frac{1}{400}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B400%7D)
Cross multiply;
m = 400N/m
Therefore, the stiffness of the longer spring is 400N/m
24km/hour=(20/3)m/s
Hence, W=1/2*1168kg*[(20/3)/m/s]^2=25955.56J
Explanation:
The geometry of the BF 3 molecule is called trigonal planar (see Figure 5). The fluorine atoms are positioned at the vertices of an equilateral triangle. The F-B-F angle is 120° and all four atoms lie in the same plane.