<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
Answer:
=26.92 m/s
Explanation:
Speed is calculated as a ratio of the total distance covered ( It is directionless) to the total time taken to cover the distance.
Average speed= total distance/total time
=x/t
Total distance from the question= 3500m
Total time taken to cover the above distance = 2×60 +10=130 Seconds
Therefore, average speed= 3500m/130 s
=26.92 m/s
This occurs when the internal energy of the solid increases, typically by the application of heat or pressure, which increases the substance's temperature to the melting point. At the melting point, the ordering of ions or molecules in the solid breaks down to a less ordered state, and the solid melts to become a liquid.
Answer:
7.06MN
Explanation:
length = 60m
Width = 10m
Height = 12 m
Let Fb = Force buoyant
Fb = pgV = mg
p(density) = rho
The density of water in this case = 1000
g = 9.8 m/s
Volume = lenght*width*height
= 60*10*12
= 7200m^3
So we have
(1000 * 9.8 * 7200) = mg
= 70560000
7.06 MN
An observer stands at the tip of the dark blue arrow in the diagram the view of the sun from the observer’s point of you is the following
Explanation:
1.The region of complete shadow is called the umbra and the region of diffuse shadow is called the penumbra. These shadows are formed on the Earth during a solar eclipse and From the umbra we see a total eclipse while from the penumbra only a partial eclipse is visible.
2.There are four different types of solar eclipse, namely Partial eclipse, Annular eclipse, Total Eclipse and Hybrid Eclipse. A partial solar eclipse occurs when only part of the Sun is covered by the Moon which appears to take a “bite” out of the Sun.
3.Solar eclipses can only occur during a New Moon when the Moon moves between Earth and the Sun and the 3 celestial bodies form a straight line: Earth–Moon–Sun. There are between 2 and 5 solar eclipses every year. There are 3 kinds of solar eclipses: total, partial, and annular.
4.You can see from the two diagrams that there are two types of shadow; a crisp edged one formed by a point source of light and a rather more fuzzy one that is formed by a larger source. The region of deep, total shadow is called the UMBRA and the region of partial shadow is called the PENUMBRA.
5.umbra. The very darkest part of a shadow is the umbra. It's where the light source is completely blocked by the object in front of it.
6.The Moon's shadow actually has two parts:
Penumbra. The Moon's faint outer shadow. Partial solar eclipses are visible from within the penumbral shadow.
Umbra. The Moon's dark inner shadow. Total solar eclipses are visible from within the umbral shadow.