Explanation:
Let us assume that piece 1 is
is facing west side. And, piece 2 is
facing south side.
Let
= m and
= 2m. Hence,


= 10.5 m/s


= 10.5 m/s

= 
= 14.84 m/s
or, = 15 m/s
Hence, the speed of the third piece is 15 m/s.
Now, we will find the angle as follows.

= 
= 
= 
Therefore, the direction of the third piece (degrees north of east) is north of east.
Answer:
Nitrogen and hydrogen combine at the same rate that ammonia breaks down.
Explanation:
Answer:
The pressure increases by a factor 8
Explanation:
For a gas held at constant temperature, Boyle's law can be applied. It states that the product of the gas pressure and the gas volume is constant, so we can write:

where
is the initial pressure
is the final pressure
is the initial volume
is the final volume
For the gas in this problem, the volume is reduced from

to

so we can rewrite the equation as

this means that the pressure of the gas will increase by a factor 8.
In order to compute the final velocity of the trains, we may apply the principle of conservation of momentum which is:
initial momentum = final momentum
m₁v₁ = m₂v₂
The final mass of the trains will be:
10,000 + 10,000 = 20,000 kg
Substituting the values into the equation:
10,000 * 3 = 20,000 * v
v = 1.5 m/s
The final velocity of the trains will be 1.5 m/s