<span>They are finite sums of expressions of the form where a is a constant, x is the variable and k is a non-negative integer</span>
Every day, the volume increases by 24 1/2+15 1/4=39 3/4 gallons. So after 5 days, the volume increases by 39 3/4 * 5 = 795/4= 198.75 gallons
Answer:
a = 1565217.39 ft / s ^ 2
t = 0.001725 seconds
Step-by-step explanation:
The first thing is to use the same system of units therefore we will pass the 28 inches to feet, like this:
28 in * (1 ft / 12 in) = 2.33 ft
Now yes, we can continue, we have the following data:
vi = 0
vf = 2700 ft / s
the equations in this case are as follows:
vf = vi + a * t
vf = a * t
rearranging for a
a = vf / t (1)
now with the position equation we know that:
x = vi * t + (a * t ^ 2) / 2
x = (a * t ^ 2) / 2 (2)
now replacing (1) in (2), we are left with:
x = (vf / t) * (t ^ 2) / 2
knowing that x would be 2.33 ft, which is when the cannonball exits the cannon.
2.33 = 2700 * t / 2
t = 2.33 * 2/2700 = 0.001725 seconds.
and now replace in (1)
a = vf / t = 2700 / 0.001725 = 1565217.39 ft / s ^ 2
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:
194
Step-by-step explanation:
2/3X=291
x=194
