Missing question:
"Determine (a) the astronaut’s orbital speed v and (b) the period of the orbit"
Solution
part a) The center of the orbit of the third astronaut is located at the center of the moon. This means that the radius of the orbit is the sum of the Moon's radius r0 and the altitude (

) of the orbit:

This is a circular motion, where the centripetal acceleration is equal to the gravitational acceleration g at this altitude. The problem says that at this altitude,

. So we can write

where

is the centripetal acceleration and v is the speed of the astronaut. Re-arranging it we can find v:

part b) The orbit has a circumference of

, and the astronaut is covering it at a speed equal to v. Therefore, the period of the orbit is

So, the period of the orbit is 2.45 hours.
The true statements are B and C.
This comes from the following facts:
Even when heat is added to a substance in a change of phase the temperature does not increases since this heat is latent heat.
Answer:
1.15 rad/s²
Explanation:
given,
angular speed of turntable = 45 rpm
=
=
time, t = 4.10 s
initial angular speed = 0 rad/s
angular acceleration.



Hence, the angular acceleration of the turntable is 1.15 rad/s²
Answer: C.
250 kg-m/s
Explanation:
Given that the
Mass M = 1,500 kg
Force F = 500 N
Time t = 0.5 seconds
From Newton's second law of motion which state that the rate of change of momentum is proportional to the applied force.
F = mV/t
Ft = mV
Where ft = impulse: the product of time and applied force
Substitutes force and time into the formula
Ft = 500 × 0.5 = 250 Ns
Answer:
The potential energy increases if the orbital radius increases.
Explanation:
The orbital radius of the electron increases means the distance from the nucleus of the hydrogen atom increase.
The nucleus is positively charged .
The potential energy is given by P.E = -
where Z is the atomic number
r is the radius
The negative sign indicates that the electron which is revolving is bound to nucleus.
As the radius and potential energy are inversely proportional it is clear that when <em>radius increase</em> the<em> potential energy become less negative </em>which means the potential energy increases when the orbital radius increase.