<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
=
=
Cross multiply;
m = 400N/m
Therefore, the stiffness of the longer spring is 400N/m
C = Q/V, and since C is a constant, if voltage is doubled, charged will be doubled as well. Therefore charge will be 2Q
<u>We are given:</u>
constant speed of the car (u) = 36.12 m/s
time in question (t) = 12 seconds
<u>Solving for the Distance and Displacement:</u>
from the second equation of motion:
s = ut + 1/2 at^2
since we have 0 acceleration:
s = ut
<em>replacing the variables</em>
s = 36.12 * 12
s = 433.44 m
Since the car is travelling in a straight line towards the same direction, it's Distance will be equal to its Displacement
Hence, both the Displacement and <u>Distance covered by the car is </u>
<u>433.44 m</u>
but since Displacement also has a direction vector along with it,
the <u>Displacement will be 433.44 m due west</u>
Explanation:
According to newtons first law of motion:
'' a body will continue in its state of rest or uniform motion along a path unless it is acted upon by an external force".
A body in equilibrium that is floating will be stable and not move in any direction. Even if it moves, the motion will be constant wouldn't change.
- To move the body in any direction, one has to swim.
- Swimming is the application of an external force to counter the balanced forces at equilibrium on a body.
- This works when the net external force is greater than that the balanced forces.
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Answer: 6.4 x 10^14Hz
Explanation:
velocity of blue light (V) = 3.0 x 10^8m/sec
wavelength (λ) = 465 nanometers
(4.65 x 10?m)
Since 1nanometer = 1 x 10^-9 meter
465 nanometer = 4.65 x 10^-7 meters
frequency (F) = ?
Recall that the frequency of a wave is the number of cycles the wave complete in one second, and its unit is Hertz.
So, apply the formula V = F λ
3.0 x 10^8m/sec = F x 4.65 x 10^-7 meters
F = (3.0 x 10^8m/sec / 4.65 x 10^-7 meters)
F = 6.4 x 10^14Hz
Thus, the frequency of the blue light is 6.4 x 10^14Hz