Which of the following statements are consistent with Rutherford's nuclear theory as it was originally stated? Check all that ap
1 answer:
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Answer:
Impulse =14937.9 N
tangential force =14937.9 N
Explanation:
Given that
Mass of car m= 800 kg
initial velocity u=0
Final velocity v=390 km/hr
Final velocity v=108.3 m/s
So change in linear momentum P= m x v
P= 800 x 108.3
P=86640 kg.m/s
We know that impulse force F= P/t
So F= 86640/5.8 N
F=14937.9 N
Impulse force F= 14937.9 N
We know that
v=u + at
108.3 = 0 + a x 5.8
So tangential force F= m x a
F=18.66 x 800
F=14937.9 N
Answer:
The shear stress will be 80 MPa
Explanation:
Here we have;
τ = (T·r)/J
For rectangular tube, we have;
Average shear stress given as follows;
Where;
= 100 mm × 200 mm = 20000 mm² = 0.02 m²
t = Thickness of the shaft in question = 2 mm = 0.002 m
T = Applied torque
Therefore, 50 MPa = T/(2×0.002×0.02)
T = 50 MPa × 0.00008 m³ = 4000 N·m
Where the dimension is 50 mm × 250 mm, which is 0.05 m × 0.25 m
Therefore, = 0.05 m × 0.25 m = 0.0125 m².
Therefore, from the following average shear stress formula, we have;
Plugging in then values, gives;
The shear stress will be 80,000,000 Pa or 80 MPa.
Answer:
I am writing a Python program. Here is the function letterCount. This function takes two string arguments text and letter and return count of all occurrences of a letter in the text.
def letterCount(text, letter):
count = 0 # to count occurrences of letter in the text string
for char in text: # loop moves through each character in the text
if letter == char: # if given letter matches with the value in char
count += 1 # keeps counting occurrence of a letter in text
return count # returns how many times a letter occurred in text
Explanation:
In order to see if this function works you can check by calling this function and passing a text and a letter as following:
print(letterCount('apples are tasty','a'))
Output:
3
Now lets see how this function works using the above text and letter values.
text = apples are tasty
letter = a
So the function has to compute the occurrences of 'a' in the given text 'apples are tasty'.
The loop has a variable char that moves through each character given in the text (from a of apples to y of tasty) so it is used as an index variable.
char checks each character of the text string for the occurrence of letter a.
The if condition checks if the char is positioned at a character which matches the given letter i.e. a. If it is true e.g if char is at character a of apple so the if condition evaluates to true.
When the if condition evaluates to true this means one occurrence is found and this count variable counts this occurrence. So count increments every time the occurrence of letter a is found in apples are tasty text.
The loop breaks when every character in text is traversed and finally the count variable returns all of the occurrences of that letter (a) in the given text (apples are tasty). As a occurs 3 times in text so 3 is returned in output.
The screen shot of program along with output is attached.
