Answer:
278.5 N
Explanation:
First, let us find the total mass to be moved. We add up all the given masses together.
The total mass to be moved, M
M = 514 + 792 + 322 = 1628 kg.
Next, we find the force that is applied to the blocks. Remember that F = ma, so
Force applied to all the blocks, F =
F = 1628 * 0.25 = 407 N
Now we find the force that was applied to only the first rock
F = 514 * 0.25 = 128.5 N
From this, we can get the remaining force that was applied to the last two rocks, by subtracting them from each other
F' = 407 - 128.5 = 278.5 N
You can apply force to a large area over the fulcrum to have it multiplied on a smaller area on the other side of the fulcrum.
Answer:
<em>n =1.33 revolutions</em>
Explanation:
<u>Uniform Circular Motion</u>
The angular speed can be calculated in two different ways:

Where:
v = tangential speed
r = radius of the circle described by the rotating object
Also:

Where:
f = frequency
Solving for f:

Since the frequency is calculated when the number of revolutions n and the time t are known:

We can solve for n:
n=f.t
The particle moves in a circle of r=90 m with a speed v=25 m/s. Thus the angular speed is:


Now we calculate f:


Calculating the number of revolutions:
n = 0.04421*30
n =1.33 revolutions
Answer : The mass of cereal in two units are, 34.815 oz and 978.075 grams respectively.
Explanation :
As there are two systems for measuring the units which are English and Metric system.
The Metric System measured the things in meters, grams, liters, etc and adds prefixes like kilo, milli and centi to the count orders of the magnitude.
The English system measured the things in feet, inches, pounds, mile, etc.
As we are given the mass of cereal in 978 grams that means 987 grams is in metric unit. Now we have to convert metric unit into English unit.
Conversion factor used : (1 oz = 28.350 g)
As, 28.350 grams = 1 oz
So, 987 grams = 
= 34.815 oz
As we are given the mass of cereal in 34.5 oz that means 34.5 oz is in metric unit. Now we have to convert metric unit into English unit.
Conversion factor used : (1 oz = 28.350 g)
As, 1 oz = 28.350 grams
So, 34.5 oz = 
= 978.075 grams
Therefore, the mass of cereal in two units are, 34.815 oz and 978.075 grams respectively.