Answer:
The acceleration is given by de second derivative of x(t) which is equal to m/s^2
Explanation:
a) We have the equation x(t)=at^4+bt^3+ct which is the position of the body of mass m at a time t
Where a, b and c are constants
From the rules of differenciation we have that the first derivative of the position is the velocity and the second derivative is the acceleration.
Hence the first derivative of the function is equal to [/tex] m/s
Don´t forget to write down the unities
Then we have to derivate again this equation, so we have
m/s^2[/tex]
b) Remembering the Newton´s laws we know that
where:
F is the force
m is the mass
and a is the acceleration
From the first part we know the value of the acceleration which is
m/s^2
So using the second law formula and replacing the values we have that
F=m( ) N
Remember the that N= Newton which is kg*m/s^2
Answer:
$900 trillion
Explanation:
If Alaska is 20% of the contiguous US, then the approximate area of interest is ...
1200 miles × 3000 miles = 3.6×10^6 square miles.
The size of a dollar bill is about ...
(6.5 cm)·(15.5 cm) = 100.75 cm^2
One mile is 160,934.4 cm, so 1 square mile is about ...
1 mi^2 = (160,934.4 cm)^2 ≈ 2.59·10^10 cm^2
The number of dollars of interest is then ...
(3.6 · 10^6 mi^2)(2.59 · 10^10 cm^2)/(100.75 cm^2) ≈ 9.3·10^14
≈ 930 × 10^12 . . . dollars
It would cost about 900 trillion dollars to cover the land area of the US in $1 bills.
<span>So we want to know which statement is true for the body of mass m=2000kg that is lifted to a height of h=15m in t=15 s. Lets calculate each of the following: Gravity force on the body is F=m*g=2000*9.81=19620 N so a is FALSE. Potential energy of the body when it is lifted to the height of 15 m is Ep=m*g*h=2000*9.81*15=294300 J so b is FALSE. Work to lift the body is: W=Fg*h=2000*9.81*15= Ep=294300 J so c is FALSE. Power P=W/t=294300/15=19620 W So d is TRUE. </span>
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Actually, No. That operation doesn't give you the speed, and that statement is false.
One clue is the units. If you multiply time by distance, you'd get an answer with units of hour-miles or second-meters. These are absurd units, with no physical significance.
Speed = (distance covered) <u>DIVIDED BY</u> (time to cover the distance)
When you divide distance by time, you get an answer with units like "miles per hour" or "meters per second". Without going into a long-winded discussion, I can't PROVE to you that this is actually the correct speed, but these units sure do smell a lot better.