Answer:
The angle is
Explanation:
From the question we are told that
The distance of the dartboard from the dart is
The time taken is
The horizontal component of the speed of the dart is mathematically represented as
where u is the the velocity at dart is lunched
so
substituting values
=>
From projectile kinematics the time taken by the dart can be mathematically represented as
=>
=>
Answer:
You should choose airspeed 158.11 km/h at 18.4° west of south
Explanation:
The distance to the air port is 450 km due to south
You should to reach the airport in 3 hours
→ Velocity = distance ÷ time
→ Distance = 450 km , time = 3 hours
→ The velocity of your plane = 450 ÷ 3 = 150 km/h due to south
A wind is blowing from west 50 km/h
We need to know what heading and airspeed you should choose to
reach your destination
At first we must find the resultant velocity of your plane and the wind
The south and west are perpendicular, then the resultant velocity is
→
→ km/h ,
km/h
→ km/h
To cancel the velocity of the wind, the pilot should maintain the velocity
of the plane at 158.11 km/h
The direction of the velocity is the angle between the resultant velocity
and the vertical (south)
→ The direction of the velocity is °
The direction of the velocity is 18.4° west of south
<em>You should choose airspeed 158.11 km/h at 18.4° west of south</em>
Answer:
The number of oxygen molecules in the left container greater than the number of hydrogen molecules in the right container.
Explanation:
Given:
Molar mass of oxygen,
Molar mass of hydrogen,
We know ideal gas law as:
where:
P = pressure of the gas
V = volume of the gas
n= no. of moles of the gas molecules
R = universal gs constant
T = temperature of the gas
∵
where:
m = mass of gas in grams
M = molecular mass of the gas
∴Eq. (1) can be written as:
as:
So,
Now, according to given we have T,P,R same for both the gases.
∴The molecules of oxygen are more densely packed than the molecules of hydrogen in the same volume at the same temperature and pressure. So, <em>the number of oxygen molecules in the left container greater than the number of hydrogen molecules in the right container.</em>