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
Make a proportion,
1 wall/30 minutes=x wall/5 minutes
cross mulitply,
5=30x
x=5/30=1/6
1/6 of the wall in 5 minutes
Hope this helps.
The equation of a circle:
(h,k) - the coordinates of the center
r - the radius
The center is the midpoint of the diameter.
The radius is half the diameter, or the distance from one of the endpoints to the center.
The equation of the circle:
Answer:
from looking at this we can see
1*4=4
2*4=8
3*4=12
6*4=24
a
Hope This Helps!!!
Hi!
For every 1 yard, we have 3 feet. So, in order to find out how many feet are in 30 yards - we must multiply 3 by 30.
3 * 30 = 90.
This means there are 90 feet in 30 yards.
Hopefully, this helps! =)
