Answer:

Explanation:
The artificial gravity generated by the rotating space station is the same centripetal acceleration due to the rotational motion of the station, which is given by:

Here, r is the radius and v is the tangential speed, which is given by:

Here
is the angular velocity, we replace (2) in (1):

Recall that
.
Solving for
:

In order to calculate the amount of energy required, we must first check the latent heat of vaporization of water from literature. The latent heat of vaporization of any substance is the amount of energy required per unit mass to convert that substance from a solid to a liquid. For water this is 2,260 J/g. We now use the formula:
Energy = mass * latent heat
Q = 50 * 2,260
Q = 113,000 J
113,000 Joules of heat energy are required.
Answer:
ω = 380π rad/s
Explanation:
The formula for the angular frequency is the oscillation frequency f (hertz) multiplied by 2π
ω = 2πf
then
ω = 2π(190)
ω = 380π rad/s
Explanation:
We know that that the range of the ball on the earth

therefore, range of the ball on moon


therefore,

Therefore, the range of ball will be 6 times on the moon than that on earth
Answer:
- The initial speed of the truck is 21.93 m/s, and the initial speed of the car is 19.524 m/s
Explanation:
We can use conservation of momentum to find the initial velocities.
Taking the unit vector
pointing north and
pointing east, the final velocity will be


The final linear momentum will be:




As there are not external forces, the total linear momentum must be constant.
So:

As initially the car is travelling east, and the truck is travelling north, the initial linear momentum must be
so:
so

So, for the truck





And, for the car


