U = S ∪ S' = {1, 2, 3, 4, 5}
Full Question
A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass—spring system is disturbed from its rest state by the force F (t) = 20 cos(8t). The force F (t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds.
Determine the spring constant k.
Answer:
Spring Constant = 1000Nm^-1
Step-by-step explanation:
Given
Mass = 10kg
Spring Extension = 9.8cm
Spring Constant K = Force/Extension
Force = Mass * Acceleration
Force = 10 * 9.8 = 9.8N
Spring Extension = 9.8 cm = 9.8 /100 = 0.098 m
Spring constant = 98 / 0.098
Spring Constant = 1000Nm^-1
1. b = $95.94 / 6
= $15.99
t = $15.99 / 20
= $0.80
2. A: $1.28 / 8 = $0.16 per oz
B: $1.68 / 12 = $0.14 per oz
Difference: $0.02 per oz
Answer:
Li Ping's statement makes sense.
Step-by-step explanation:
The area of a square with side lengths a inches is given by, 
.
Now, the area of a parallelogram with equal sides a inches, which is not a square is given by, 
, where, h is the perpendicular distance between the opposite sides.
See the diagram attached.
Since a is the hypotenuse of as right triangle with height h, hence, a > h.
So, 
Therefore, Li Ping's statement makes sense. (Answer)
