Answer:
Explanation:
P = Pressure =
V = Volume = 1 cm³
n = Amount of substance
N = Number of atoms
= Avogadro's constant =
R = Gas constant = 8.314 J/k mol
T = Temperature = 273.15+20 = 293.15 K
From the ideal gas law
The number of atoms is
When the height of the cylinder increased by a factor of 5from 100 m to 500 m, what happened to the cylinder's
1 answer:
Answer: It increased by a factor of 5
Explanation:
Gravitational potential energy is given by the following formula:
Where:
is the mass of the cylinder (assumed as constant)
is the acceleration due gravity (assumed as constant)
is the height of the cylinder
As we can see, is directly proportional to
. Hence, if
increases by a factor of 5
increases by a factor of 5, as well.
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Answer:
a) x = 40 t , y = 39 t , z = 6 + 32 t - 16 t ², b) x = 80 feet , y = 78 feet , the ball came into the field
Explanation:
a) This is a projectile launch exercise, where in the x and y axes there is no acceleration and in the z axis the acceleration of the acceleration of gravity, let's write the equations of motion in each axis
Since the cast is in the center of the field, let's place the coordinate system
x₀ = 0
y₀ = 0
z₀ = 6 feet
x-axis (towards end zone, GOAL zone)
x = xo + v₀ₓ t
x = 40 t
y-axis (field width)
y = y₀ + t
y = 39 t
z axis (vertical)
z = z₀ + v_{oz} t - ½ g t²
z = 6 + 32 t - ½ 32 t²
z = 6 + 32 t - 16 t ²
b) The player catches the ball at the same height as it came out, so we can find the time it takes to arrive
z = 6
6 = 6 + 32 t - 16 t²
(t - 2)t = 0
t=0 s
t= 2 s
The ball position
x = 40 2
x = 80 feet
y = 39 2
y = 78 feet
the dimensions of the field from the coordinate system (center of the field) are
x_total = 150 feet
y _total = 80 feet
so we can see that the ball came into the field