The distance an object falls, from rest, in gravity is
D = (1/2) (G) (T²)
'T' is the number seconds it falls.
In this problem,
0.92 meter = (1/2) (9.8) (T²)
Divide each side by 4.9 : 0.92 / 4.9 = T²
Take the square root
of each side: √(0.92/4.9) = T
0.433 sec = T
The horizontal speed doesn't make a bit of difference in
how long it takes to reach the floor. BUT ... if you want to
know how far from the table the pencil lands, you can find
that with the horizontal speed.
The pencil is in the air for 0.433 second.
In that time, it travels
(0.433s) x (1.4 m/s) = 0.606 meter
from the edge of the table.
Answer:
The volume of the ideal gas on another planet will be 6.7 m³.
Explanation:
We can find the volume occupied by the ideal gas on another planet by using the Ideal Gas Law:
Where:
P: is the pressure
V: is the volume
n: is the number of moles
R: is the gas constant = 8.206x10⁻⁵ m³ atm K⁻¹mol⁻¹
T: is the temperature
Since the gas occupies a volume of 8.7 m³ with a pressure of 6 atm and temperature 4.8 °C on earth, we have the following number of moles:
Now we can calculate the volume occupied by the ideal gas on another planet:
With T = 8.7 °C and P = 7.9 atm
Therefore, the volume of the ideal gas on another planet will be 6.7 m³.
I hope it helps you!
The role of the Prosecutor's
I'll say net force because if you search up the meanings of them net force makes much more sense.
First off, you need to review the formula for momentum:
Momentum = (mass) times (speed)
= (75 kg) x (18 m/s)
= 1,350 kg-m/s .
There it is. That's all there is to it.
Notice that you would have been sunk without knowing
the equation for momentum. It's pretty important. You
should memorize it. You'll need it again.