Answer:
(a) k =
(b) τ =
∝
Explanation:
The moment of parallel pipe rotating about it's axis is given by the formula;
I =
---------------------------------1
(a) The kinetic energy of a parallel pipe is also given as;
k =
--------------------------------2
Putting equation 1 into equation 2, we have;
k = 
k =
(b) The angular momentum is given by the formula;
τ = Iw -----------------------3
Putting equation 1 into equation 3, we have
τ = 
But
τ = dτ/dt =
------------------4
where
dw/dt = angular acceleration =∝
Equation 4 becomes;
τ =
∝
Answer:
When a number is written in scientific notation (representing the number using powers of base ten) it is expressed so that it contains a digit in the place of the units and all other digits after the decimal point, multiplied by the respective exponent. For example, the number
.
On the other hand, it is known the units in the SI for mass, length, time and temperature are kilogram (kg), meter (m), second (s) and Kelvin (K), respectively. In addition, thera are prefixes of the International System (SI) that indicate a specific factor of 10.
For example:
-Giga (G) is a prefix that indicates a factor of 
-Pico (p) is a prefix that indicates a factor of 
-Mili (m) is a prefix that indicates a factor of 
-Micro (
) is a prefix that indicates a factor of 
-Tera (T) is a prefix that indicates a factor of 
-Kilo (K) is a prefix that indicates a factor of 
Knowing this, let's express these quantities in terms of the SI base units:









The ball's horizontal and vertical velocities at time
are


but the ball is thrown horizontally, so
. Its horizontal and vertical positions at time
are


The ball travels 22 m horizontally from where it was thrown, so

from which we find the time it takes for the ball to land on the ground is

When it lands,
and

