Answer:
The force will be "5,488". A further solution is provided below.
Explanation:
The given values are:
speed,
v = 100m/s
mass,
m = 80 kg
acceleration,
a = 7
Now,
Radius will be:
⇒ 
⇒ 
⇒ 
⇒ 
Force will be:
⇒ 
⇒ 
⇒ 
Volume of the original block (V) of length (l), width (w) and height (h) is given by the following equation

hence volume of original block, V = (6)(4)(10) = 
Now say we cut this block in two equal parts, than the length of new block will be
; where as its width and height will be same as of original block i.e. 4 cm and 10 cm respectively.
So, Volume of half-block is
; or we can say that the volume of half-block is half that of orignal block.
Answer:
c. 7.5 m/s south
Explanation:
<u>Given the following data;</u>
Velocity of duck = 10m/s due South
Velocity of wind = 2.5m/s
To find the resultant velocity;
Since we know that the duck is flying against a gust of wind, we would have to subtract the velocity of the gust of wind from that of the duck.
This ultimately implies that, the gust of wind (headwind) would decrease the resulting velocity of the duck because it approaches the duck from the front.
Resultant velocity, /V/ = 10 - 2.5
Resultant velocity, /V/ = 7.5m/s South.
<em>Therefore, the resultant velocity of the duck is 7.5m/s south. </em>
The x-component is related with the Force through the trigonometric function cosine.
cos(42°) = x-component / F ⇒ x-component = Fcos(42°) = 112N*0.743 = 83.2 N