Answer: The distance between the man and the plane increasing at a rate of 400ft/s
Explanation: Please see the attachments below
Answer
given,
v = 128 ft/s
angle made with horizontal = 30°
now,
horizontal component of velocity
vx = v cos θ = 128 x cos 30° = 110.85 ft/s
vertical component of velocity
vy = v sin θ = 128 x sin 30° = 64 m/s
time taken to strike the ground
using equation of motion
v = u + at
0 =-64 -32 x t
t = 2 s
total time of flight is equal to
T = 2 t = 2 x 2 = 4 s
b) maximum height
using equation of motion
v² = u² + 2 a h
0 = 64² - 2 x 32 x h
64 h = 64²
h = 64 ft
c) range
R = v_x × time of flight
R = 110.85 × 4
R = 443.4 ft
The period of one full swing depends on the length of the pendulum and on gravity. The period of each full swing would be longer on the moon, with less gravity.
The rotation of the plane of the swings doesn't depend on the length of the string OR on gravity. It only depends on the latitude of the place where the pendulum hangs, and the rotation period of the body it's located on.
On Earth, it's (24 hours)/(sine of latitude).
On the moon, it would be (27.32 days)/(sine of latitude).
Answer: Partial pressure of nitrogen and xenon are 288mmHg and 548 mmHg respectively.
Explanation:
The partial pressure of a gas is given by Raoult's law, which is:
where,
= partial pressure of substance A
= total pressure
= mole fraction of substance A
We are given:
Mole fraction of a substance is given by:
And,
Mole fraction of nitrogen is given as:
Molar mass of 
= 28 g/mol
Molar mass of 
= g/mol
Putting values in above equation, we get:
To calculate the mole fraction of xenon, we use the equation:
Thus partial pressure of nitrogen and xenon are 288mmHg and 548 mmHg respectively.
Answer:
The answer is B. It is the one that has the triangle pointing up on the topside of the rope and seems to be a bit bigger than the other triangles.
Explanation:
