Since Astronaut and wrench system is isolated in the space and there is no external force on it
So here momentum of the system will remain conserved
so here we can say

initially both are at rest
so here plug in all values


so here the astronaut will move in opposite direction and its speed will be equal to 0.20 m/s
Answer:
-0.481 m/s^2
Explanation:
The force equation of this problem is given as:
F - W = ma
where F = upward force holding the clarinet bag
W = downward force (weight of the clarinet)
The mass of the clarinet bag is 3.010 kg, therefore, its weight is:
W = mg
W = 3.010 * 9.8 = 29.498
F = 28.05 N
Therefore:
28.05 - 29.498 = 3.010 * a
-1.448 = 3.010a
=> a = -1.448 / 3.010
a = -0.481 m/s^2
The acceleration of the bag is downward.
Thermal energy is an example of kinetic energy , due to motion of particles .
Answer:
The orbital period of the planet is 387.62 days.
Explanation:
Given that,
Mass of planet
Mass of star 
Radius of the orbit
Using centripetal and gravitational force
The centripetal force is given by


We know that,

....(I)
The gravitational force is given by
....(II)
From equation (I) and (II)

Where, m = mass of planet
m' = mass of star
G = gravitational constant
r = radius of the orbit
T = time period
Put the value into the formula





Hence, The orbital period of the planet is 387.62 days.