Answer:
5817 Newtons.
Step-by-step explanation:
Total mass of the cage + the miners = 700 Kg which is a downward force of 700g N.
The net downward force = 700g - T where T is the tension (force) in the cable. The g = acceleration due to gravity = 9.81 m s-2.
We calculate the acceleration of the cage by using an equation of motion:
Distance = ut + 1/2 a t^2 where u = initial velocity , t = time and a = acceleration:
75 = 0(t) + 1/2 a (10^2)
50a = 75
a = 1.5 m s-2.
So using Newtons second law of motion
Force = mass * acceleration:
700*9.81 - T = 700 * 1.5
T = 700 * 9.81 - 700*1.5
= 5817 N.
Answer:
Θ = 157.7°
Step-by-step explanation:
Given
cosΘ = - 0.925
Since cosΘ < 0 then Θ is in the second or third quadrant.
Since 0° ≤ Θ ≤ 180° then Θ is in the second quadrant. thus
Θ = 
(- 0.925) = 157.7° ← angle in second quadrant
201÷7= 28.71
The answer is 28.71
Answer:
56 feet
Step-by-step explanation:
If 1 inch = 2 feet, we can first find the actual dimensions of his room by multiplying the number of inches by 2.
6(2)
= 12
8(2)
= 16
So, the actual dimensions of his room are 12 feet by 16 feet.
To find the perimeter, use the perimeter formula, P = 2l + 2w.
Plug in the length and width:
P = 2l + 2w
P = 2(12) + 2(16)
P = 24 + 32
P = 56
So, the perimeter of his actual room is 56 feet.
Answer: -30
Step-by-step explanation:
