To get the vapor pressure of the resulting solution, we use
the Raoult’s Law:
Psolution = (χsolvent) (P°solvent)
1st: Calculate the mol fraction of the solvent.
In this case, water is the solvent.
χsolvent = 3.7 mol / (3.7 mol + 0.6 mol)
χsolvent = 0.86
<span>2nd: Calculate the
vapor pressure.</span>
Psolution = (0.86) (23.8 torr)
Psolution<span> = 20.48 torr</span>
Answer:
Explanation:
for rolling motion down the plane acceleration is given by the following expression
a = g sinθ / (1 + k² / R²)
here k is radius of gyration and R is radius of the object rolling down .
for cylinder I = 1/2 m R²
so k² = R² / 2
k² / R² = 1/2
a = g sinθ /( 1 + 1 / 2 )
= 2 / 3 x g sinθ
v = √ 2 a s
= √ (2 x 2 / 3 x g sinθ s )
= √ (4 / 3 x g h )
= √ (4 / 3 x g x .5 )
= √ 2g / 3
for sphere I = 2/5 m R²
so k² = 2/5 R²
k² / R² = 2 / 5
a = g sinθ / (1 + 2 / 5)
= 5 / 7 x g sinθ
v = √ 2 a s
= √ (2 x 5 / 7 x g sinθ s )
= √ (10/7 x g h )
Given
√ (10/7 x g h ) = √ 2g / 3
10/7 x g h = 2g / 3
h = 14 / 30 m
= .47 m .
A elephant kicks a 5.0\,\text {kg}5.0kg5, point, 0, start text, k, g, end text stone with 150\,\text J150J150, start text, J, en
S_A_V [24]
The speed of the stone is 7.7 m/s
Explanation:
The kinetic energy of a body is the energy possessed by the body due to its motion. Mathematically,
where
m is the mass of the body
v is its speed
For the stone in this problem, we have:
K = 150 J is its kinetic energy
m = 5.0 kg is its mass
Re-arranging the equation for v, we find the speed of the stone:
Learn more about kinetic energy:
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Answer: 4.29 m/s
Explanation:
Given
Depth of the well, s = 8.23 m
Time taken to reach the well, t = 0.93 s
Speed of sound = 343 m/s
To solve this, we would be using one of l the laws of motion.
S = ut + 1/2gt², where
S = depth of the well
u = initial speed of toss
g = acceleration due to gravity
t = time taken to reach the well
We would then have
8.23 = 0.93 u + 1/2 * 9.8 * 0.93²
8.23 = 0.93 u + 4.9 * 0.8649
8.23 = 0.93 u + 4.23801
0.93 u = 8.23 - 4.23801
0.93 u = 3.99199
u = 3.99199 / 0.93
u = 4.29 m/s
Therefore, the initial speed of the coin is 4.29 m/s
<u>Answer:</u>
The spaceship's position when the engine shuts off = 
<u>Explanation:</u>
Initial location of spaceship = (600 i - 400 j + 200 k)*
= (600 i - 400 j + 200 k)*
Initial velocity = 9500 i m/s
Acceleration = (40 i - 20 k)
Time = 35 minute = 35 * 60 = 2100 seconds
We have equation of motion , 
, s is the displacement, u is the initial velocity, a is the acceleration and t is the time.
Substituting
So final position = 
=
The spaceship's position when the engine shuts off =
