Answer:
The velocity of astronaut will be 0.105 m/s in opposite direction of the tool.
Explanation:
Given that,
Mass of the Astronaut, m = 68.5 kg
Mass of the the tool, m' = 2.25 kg
Speed of tool, v' = -3.2 m/s (direction is sway from space station)
It is required to find the speed of the astronaut. The momentum will remain conserved. So,

v is the speed if Astronaut

So, the velocity of astronaut will be 0.105 m/s in opposite direction of the tool.
Answer:

Explanation:
When top block is just or about to slide on the lower block then we can say that the frictional force on it will be maximum static friction
So we will have






now for the Net force on two blocks to move together



<h3>One reason we should know what the directions of the forces acting on an object is so we can know if we have to add or subtract. same = add together, opposite = subtract from each other. Also if we don't pay attention to the direction the Net force will be wont be accurate. There will be factors that will upset the calculation.So we must know the direction of the two forces because we have to know if we are adding or subtracting and if the answer is accurate. </h3>
<em>I hope this helps!.</em>
The answer is B.It decreases the change of the momentum of the person