Answer:
should be tested by the scientific community
Answer:
The velocity with which the mass will hit the floor is 
Explanation:
If the tension in the string is
, for
we have
,
and for the mass

From these equations we solve for
and get:

The kinematic equation

gives the final velocity
of a particle, when its initial velocity was
, and has traveled a distance
while undergoing acceleration
.
In our case
(the initial velocity of the particles is zero)

which gives us



which is the velocity with which the mass
will hit the floor.
the soviet union was the first country.
Answer:
Magnitude 900m/s, direction 12.8° respect to the velocity of the first asteroid.
Explanation:
This is a perfectly inelastic collision, because the two asteroids stick together at the end. That means that the kinetic energy doesn't conserves, but the linear momentum does. But, since the velocities of the asteroids have different directions, we have to break down them in components. For convenience, we will take the direction of the first asteroid as x-axis, and its perpendicular direction (in the plane of the two velocity vectors) as y-axis. So, we have that:

And, since
, we get:

Solving for v_fx and v_fy, and calculating their values, we get:

Now, the final speed can be calculated using the Pythagorean Theorem:

And the direction
can be obtained using trigonometry:

That means that the final velocity of the two asteroids has a magnitude of 900m/s and a direction of 12.8° with respect to the velocity of the first asteroid.