Answer:
The work done in stretching it from its natural length to 14 in. beyond its natural length is W=8.17 ft-lb.
Step-by-step explanation:
We know that a force of 8 lb is required to hold a spring stretched 8 in. beyond its natural length.
This let us calculate the spring constant k as:
We know that work is, in an scalar form, the product of force and distance.
The force F is equal to the spring constant multiplied by the distance from the natural length.
Then, as the force changes with the distance from the natural length, we have to calculate integrating:
Answer:
x=35
y=72.5
Step-by-step explanation:
y=(180-35)/2
y=145/2
y=72.5
Answer:
a ">"
Step-by-step explanation:
3 to the power negative one (-1) is the same as 1/3 (one unit divided by 3).
1/4 on the other hand is one unit divided by 4.
Dividing one object into three parts (think for example a chocolate bar) gives you a larger (greater) piece than dividing it into four equal pieces.
Therefore 1/3 > 1/4
Answer:
-1
Step-by-step explanation:
Use the slope intercept formula(y=mx+b) to find the slope of a line.
First, you will want to put everything into it's proper order, so you will get -y=-x+5.
You cannot have a negative y, so divide everything by -1 and you will get y=x-5.
1 is the slope. Now that you know that, you will want to find the reciprocal. To find the reciprocal, you will need to swap the numerator and the denominator and then swap it's sign, whether that is positive or negative..
The reciprocal of 1 is -1. -1 is the slope of the perpendicular line
