We can solve this problem by stating that the summation
of momentums must be zero. That is, the momentum at one end of the pivot must
be equal to the momentum at the other end.
Momentum 1 = Momentum 2
Since Momentum is the product of Force and Distance, and
with this rule created, we can say that:
F1 * d1 = F2 * d2
Where,
F1 = 60 lbs
d1 = 2 inches from the pivot
F2 = unknown X
d2 = 3 inches from the pivot
Substituting to the equation to find for F2:
60 lbs * 2 inches = F2 * 3 inches
F2 = 40 lbs
<span>Therefore 40 lbs of upward force must be pushed to open
the valve.</span>
<span>Answer: B</span>
Answer: 
Step-by-step explanation:
We know that:

Where "d" is distance, "r" is rate and "t" is time.
Solved for the time "t":

The first step is to convert the distance from miles to feet.
Since
, we get:

Knowing that:

We can substitute values into
in order to find the time in seconds:

Since:

The time in minutes is:

Answer: C)27:1
Step-by-step explanation:
Given, Kent has two similar cylindrical pipes, Pipe A and Pipe B. The radius of Pipe A is 6 cm, and the radius of Pipe B is 2 cm.
Volume of cylinder =
, where r= radius and h = height.
Also, If two figures are similar then ratio of volume is equal to the cube of any dimension .
The ratio of the volume of Pipe A to the volume of Pipe B is given by :-

Thus, the ratio of the volume of Pipe A to the volume of Pipe B = 27:1
So, the correct option is C)27:1.
Avoiding conviniece store purchases
The cost of the punch is literally the cost of one gallon 2.78 times 2 for 2 gallons. Which would equal 5.56