Answer:
1125.66956 N
Explanation:
m = Mass of stunt performer
g = Acceleration due to gravity = 9.81 m/s²
v = Velocity of the swing = 7 m/s
T = Tension
r = Radius of the swing = Length of vine = 11.5 m
From the free body diagram

The minimum tension force the vine must be able to support without breaking is 1125.66956 N
Answer: D
All the particles must be uncharged
Explanation:
If all the particles are positively charged, then there will be force of repulsion between them which will give different directions away from each other. The same is applicable if they are all negatively charged.
If the particles are positively and negatively charged, their will be force of attraction between them which will give different directions towards each other.
For all to be experiencing forces in the same direction, We can conclude that
All the particles must be uncharged.
Answer:
The Height is H = 70.02 m
Explanation:
We are given that the
Initial length is =
= 
from what we are told in the question the circumference of the circle is =
This means that the Radius would be :
Let C denote the circumference
So

=> 

We are told that 1-meter bar of steel that increases its temperature by 1 degree C will expand
meters
Hence
The final length would be

Where T is the change in temperature
is the Coefficient of linear expansion for steel
let
denote the final length
So
![L_{final} =40000*10^{6} *[1+ 11*10^{-6}]](https://tex.z-dn.net/?f=L_%7Bfinal%7D%20%3D40000%2A10%5E%7B6%7D%20%2A%5B1%2B%2011%2A10%5E%7B-6%7D%5D)

Now the Height is mathematically represented as



Answer:
Explanation:
a) Total distance traveled by the whale = 6.9 km + 1.8 km + 3.7 km = 12.4 km
b) the magnitude and the direction of the displacement of the whale = 6.9 km due east - 1.8 km due west = 5.1 due east
it final displacement = 5.1 km due east + 3.7 k due east = 8.8 km due east
c) average speed in km / hr = total distance traveled / total time = 12.4 km / 0.5 hr ( 30 min/ 60 min × 1 hr) = 24.8 km / hr
d) average velocity in km / h = total displacement / total time = 8.8 km / 0.5 h = 17.6 km/h