Tony has a hosepipe. The length of the hosepipe is 20 m. Tony stores the hosepipe on a reel. The weight of the reel is 1.4 kg. 1
1 answer:
Answer:
the total weight of the hosepipe and the reel is 7.4 kg
Step-by-step explanation:
First, we need to find the weight of the hosepipe, we know that 1/2 metre of the hosepipe has a weight of 150 grams, therefore we can conclude that 1 meter has a weight of (150)(2) = 300 grams.
If one meter weighs 300 grams, then 20 meters have a weight of grams. But since 1000 grams are 1 kg, this would be equivalent to 6 kg.
Now, to find the total weight of the hosepipe and the reel we are going to sum up the 2 weights:
Total weight = hose pipe weight + reel weight
Total weight = 6 kg + 1.4 kg
Total weight = 7.4 kg.
Therefore, the total weight of the hosepipe and the reel is 7.4 kg
You might be interested in
First, I'll make f(x) = sin(px) + cos(px) because this expression shows up quite a lot, and such a substitution makes life a bit easier for us.
Let's apply the first derivative of this f(x) function.
Now apply the derivative to that to get the second derivative
We can see that f '' (x) is just a scalar multiple of f(x). That multiple of course being -p^2.
Keep in mind that we haven't actually found dy/dx yet, or its second derivative counterpart either.
-----------------------------------
Let's compute dy/dx. We'll use f(x) as defined earlier.
Use the chain rule here.
There's no need to plug in the expressions f(x) or f ' (x) as you'll see in the last section below.
Now use the quotient rule to find the second derivative of y
If you need a refresher on the quotient rule, then
where P and Q are functions of x.
-----------------------------------
This then means
Note the cancellation of -(f ' (x))^2 with (f ' (x))^2
------------------------------------
Let's then replace f '' (x) with -p^2*f(x)
This allows us to form ( f(x) )^2 in the numerator to cancel out with the denominator.
So this concludes the proof that when
Side note: This is an example of showing that the given y function is a solution to the given second order linear differential equation.