Answer:
0.0052 m
Explanation:

g = Acceleration due to gravity = 9.78 m/s²
Time period



The length of the pendulum is 0.0052 m
<h2>
The number is 42 </h2>
Explanation:
Let the digits be a and b.
The sum of the digits of a two-digit number is 6
That is
a + b = 6
When the digits are reversed, the number decreases by 18
ab - ba = 18
We need to find the number
Since ab - ba = 18, we know that a is greater than b.
Take a = 4
4 + b = 6
b = 6 - 4 = 2
That is the number is ab = 42
When it is reversed the number is 24.
42 - 24 = 18, hence correct
The number is 42
Answer:
<em>0.97c</em>
<em></em>
Explanation:
From the relativistic equation for length contraction, we have
= 
where
is the final length of the object
is the original length of the object before contraction
β = 
where v is the speed of the object
c is the speed of light in free space = 3 x 10^8 m/s
The equation can be re-written as
/
= 
For the length to contract to one-fourth of the proper length, then
/
= 1/4
substituting into the equation, we'll have
1/4 = 
substituting for β, we'll have
1/4 = 
squaring both side of the equation, we'll have
1/16 = 1 - 
= 1 - 1/16
= 15/16
square root both sides of the equation, we have
v/c = 0.968
v = <em>0.97c</em>