Answer:
The work done is 202.50Nm
Step-by-step explanation:
Given
Required
The work done
First, we calculate the spring constant (k)
So:
The work done using Hooke's law is:
This gives:
Rewrite as:
Integrate
This gives:
Convert to Nm
Answer:
h = 8.78
Step-by-step explanation:
Remark
Since this is a right angle triangle, you could find the area 2 different ways.
Area 1. Use the arms of the right angle to find the area.
Area = 1/2 * a * b
a = 9
b = 40
Area = 1/2 40 * 9
Area = 180 m^2
The other way is to multiply the height by the hypotenuse
h = ?
hypotenuse = 41
Area = 1/2 * 41 * h
But we already know the area
1/2 41 * h = 180 Multiply by 2
41 * h = 2 * 180
41 * h = 360 Divide by 41
h = 360 / 41
h = 8.78
Answer:
x ≤ 2
Step-by-step explanation:
Given the inequality :
5 x − 6 ≤ 2 + ( 3 x − 4 )
Open The bracket
5x - 6 ≤ 2 + 3x - 4
Collect like terms
5x - 3x ≤ 2 - 4 + 6
2x ≤ 4
Dibide both sides by 2
2x /2 ≤ 4/ 2
x ≤ 2
That's a scalene by definition. Isosceles has 2 sides the same and an equilateral has all 3 sides the same.