-ZERO- No 17.6 pound Earth-bound cat is going to be able to jump to the top of a 6 feet 7 inch bookshelf unassisted! Someone should call the SPCA on the writer of this textbook question ;-)
Assuming that this overweight cat is content being placed in such a lofty position, your professor probably wants the answer of <u>156.8 Joules</u>
Mass x Acceleration of Gravity (on Earth) x elevation = Potential Energy
8 Kg x 9.8 m/s2 x 2 m = 156.8 J
The only item on that list that's an electromagnetic wave
is C). shortwave radio waves.
Given:
The given value is 
.
To find:
The value of the given expression by using the Binomial approximation.
Explanation:
We have,
It can be written as:
![[\because (1+x)^n=1+nx]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%281%2Bx%29%5En%3D1%2Bnx%5D)
Therefore, the approximate value of the given expression is 1.0002.
Answer:
Explanation:
Speed given = 125 m /min
125 /60 m /s
In 450 second it will travel
= 450 x 125 / 60
=937.5 m.
As the distance is covered in less than 450 seconds , The distance must be less than 937.5 m
In 400 seconds , it will travel
= 400 x 125 / 60
833.33 m
Since the distance is covered in more than 400 seconds , the distance must be more than ie 833.33 .
Hence the distance covered is more than .833 m but less than 937.5
In either case these distance are more than .8 km .
A) 140 degrees
First of all, we need to find the angular velocity of the Ferris wheel. We know that its period is
T = 32 s
So the angular velocity is
Assuming the wheel is moving at constant angular velocity, we can now calculate the angular displacement with respect to the initial position:
and substituting t = 75 seconds, we find
In degrees, it is
So, the new position is 140 degrees from the initial position at the top.
B) 2.7 m/s
The tangential speed, v, of a point at the egde of the wheel is given by
where we have
r = d/2 = (27 m)/2=13.5 m is the radius of the wheel
Substituting into the equation, we find
