Answer:
The distance is 
Explanation:
From the question we are told that
The width of the box is 
The gap is of length 
The natural length of the first spring is 
The spring constant of the first spring is 
The second spring has a natural length of 
The spring constant of the first spring is 
Let the distance from the center of the box to the left edge be x
So at equilibrium
The force applied by the first spring is
and
The force applied by the second spring is
![F_2 = k_2 * [ 0.9 - (0.9 -x)]](https://tex.z-dn.net/?f=F_2%20%3D%20%20k_2%20%2A%20%5B%200.9%20-%20%280.9%20-x%29%5D)
Now at equilibrium
So
![k_1 * (0.8 -x) = k_2 * [ 0.9 - (0.9 -x)]](https://tex.z-dn.net/?f=k_1%20%2A%20%280.8%20-x%29%20%3D%20%20%20%20k_2%20%2A%20%5B%200.9%20-%20%280.9%20-x%29%5D)
substituting values
![200 * (0.8 -x) = 350 * [ 0.9 - (0.9 -x)]](https://tex.z-dn.net/?f=200%20%2A%20%280.8%20-x%29%20%3D%20%20%20%20350%20%2A%20%5B%200.9%20-%20%280.9%20-x%29%5D)
=> 
=> 
=>
Answer:
h = 104.13 m
Explanation:
Given that,
Horizontal velocity of the car, v = 13 m/s
It hits the ground 60 m from the shoreline
We need to find the height of the cliff. Let t be the time of fall. We can find it as follows :
So, the time of fall is 4.61 seconds.
Let h is the height of the cilff. Using second equation of motion to find it as follows :
So, the height of the cliff is 104.13 m.
Answer:
0.01
Explanation:
Given the data:
10.1,9.87, 9.76, 9.91, 9.75, 9.88, 9.69, 9.83, 9.90
True value = 9.81
Mean value :
Σx / n
Sample size, n = 9
(10.1 + 9.87 + 9.76 + 9.91 + 9.75 + 9.88 + 9.69 + 9.83 + 9.90) / 9
= 88.69 / 9
= 9.854
Standard deviation (σ) :
Sqrt (Σ(X - m)² / n)
[(10.1 - 9.854)^2 + (9.87 - 9.854)^2 + (9.76 - 9.854)^2 + (9.91 - 9.854)^2 + (9.75 - 9.854)^2 + (9.88 - 9.854)^2 + (9.69 - 9.854)^2 + (9.83 - 9.854)^2 + (9.90 - 9.854)^2] / 9
Sqrt(0.113824 / 9)
Sqrt(0.0126471)
σ = 0.1124593
Standard Error = σ / sqrt(n)
Standard Error = 0.1124593 / 9
Standard Error = 0.0124954
Standard Error = 0.01 ( 1 significant digit)
ΔU =
-Wint
Consdier the work of of
interaction is W =m*g*h - equation -1
and the Potential energy U.
Final Potential energy Uf =0
, And the Initial Potential Energy Ui =m*g*h
<span>Now we will write the
equation for a Change in Potential energy ΔU,</span>
ΔU = Uf
- Ui
= 0-m*g*h
<span> ΔU = -m*g*h --Equation 2</span>
Now compare the both equation
<span>Wint = -ΔU</span>
we can rewrite the above
equation
ΔU =
-W.
<span>So our Answer is ΔU = -W. .</span>
<span> </span>
Answer:
4. an orange spot at 0, yellow spots at +/- 45, and red spots slightly further out
Explanation:
At central place ( zero degree ) central maxima of both the color will be formed resulting into formation of orange spot there. At +/- 45 degree , yellow spot will be formed as before . For red light , wave length is larger so fringe width will be greater . Hence fringe will be formed farther away from the region of central maxima. It means red spot will be observed farther away or out.
