Answer:
W1 = W2 = 50k Joules (assuming W1 and W2 have the same force constant, k)
W1 - W2 = 0
Step-by-step explanation:
Work done in stretching a spring is given by 1/2ke^2
Where, k is force constant and e is extension
e1 = 30cm - 20cm = 10cm
W1 = 1/2k(e1)^2 = 1/2×k×10^2 = 50k Joules
e2 = 40cm - 30cm = 10cm
W2 = 1/2k(e2)^2 = 1/2×k×10^2 = 50k Joules
W1 = W2 = 50k Joules provided W1 and W2 have equal force constant
Therefore, W1 - W2 = 0
-2x+y=5
x-3y=-30 so you can multiply the bottom equation by 2 you'll get 2x-6y=-60
-2x+y=5
2x-6y=-60 And subtract the equations. You'll get -5y=-55 y=11. Plug it in to one of the original equations. -2x+(11)=5
-2x=-6 so x=3
y=11 and x=3
Answer:
29.97 square feet
Step-by-step explanation:
Given
The length of rectangle = 9 ft
The width of rectangle = 40 in
We have to bring the length and width in same unit. As the area is required in square feet so we will convert width in feet
The width will be divided by 12 to be onverted into feet
So,
Width = 40/12 = 3.33 feet
Now
Area = Length * width
= 9 * 3.33
= 29.97 square feet ..
Answer:
864ft^3
Step-by-step explanation:
Divide the diameter by 2 to get the radius
12 / 2 = 6
Then solve the volume equation using 3 for pi.
4/3 * 3 * 6^3
4 * 6^3
4 * 216 = 864
