Answer:
a) W = - 1.752 10⁻¹⁸ J, b) U = + 1.752 10⁻¹⁸ J
Explanation:
a) work is defined by
W = F . x
the bold letters indicate vectors, in this case the force is electric
F = q E
we substitute
F = q E x
the charge of the electron is
q = - e
F = - e E x
let's calculate
W = - 1.6 10⁻¹⁹ 365 3 10⁻²
W = - 1.752 10⁻¹⁸ J
b) the change in potential energy is
U = q ΔV
the potential difference is
ΔV = - E. Δs
we substitute
U = - q E Δs
the charge of the electron is
q = - e
U = e E Δs
we calculate
U = 1.6 10⁻¹⁹ 365 3 10⁻²
U = + 1.752 10⁻¹⁸ J
Gasoline fuel is a renewable alternative to petroleum fuels that is made through either biologically or chemically driven production in a process called gasification.
Answer:
A)- SHORT WAVELENGTH AND LOW AMPLITUDE.
Explanation:
high pitch sound waves possess low wavelength and
quiet sound means that amplitue of the sound wave is low.
therefore option A matches the answer most.
<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
here our distance is given with respect to ticket booth
initial distance is given 50 m from the booth
So our initial position is
![x_i = 50 m](https://tex.z-dn.net/?f=x_i%20%3D%2050%20m)
now after this finally we reach at final position
![x_f = 5 m](https://tex.z-dn.net/?f=x_f%20%3D%205%20m)
now change in position is given as
![\Delta x = x_f - x_i](https://tex.z-dn.net/?f=%5CDelta%20x%20%3D%20x_f%20-%20x_i)
![\Delta x = 5 - 50 = - 45 m](https://tex.z-dn.net/?f=%5CDelta%20x%20%3D%205%20-%2050%20%3D%20-%2045%20m)
<em>so change in position is 45 m in magnitude and since we are coming closer to the booth so its coming negative in sign</em>