<span>362 seconds, or 6 minutes, 2 seconds.
This is an exercise in the conservation of momentum.
For this problem, I'll use the initial coordinates and velocity of the astronaut as my frame of reference because it makes the math easier. Due to the law of conservation of momentum, the momentum before and after the astronaut throws the wrench has to remain the same. And since I'm using the starting situation of the astronaut as my frame of reference, that value is 0. But thankfully, momentum is a vector quantity and we can save the astronaut.
The momentum of an object is mass times velocity. So the momentum of the wrench after being thrown is:
-19.6 m/s * 0.515 kg = -10.094 kg*m/s
Now to balance that, we need the astronaut to have a momentum of 10.094 kg*m/s which just happens to be the case (can't break the laws of physics). So let's do some division to get the velocity.
10.094 kg*m/s / 86.8 kg = 0.116290323 m/s
Yay! The astronaut is moving back to the shuttle at a reasonable velocity. But has 42.1 m to travel. Another situation for division:
42.1 m / 0.116290323 m/s = 362.0249653 s
So rounding to 3 significant digits gives a travel time of 362 seconds, or just a couple of seconds longer than 6 minutes.</span>
<span>In Figure 18.9, the ground wire is first removed, then the rod. This leaves a positive charge on the sphere. If you remove the rod first and then remove the ground wire, there will be no charge left on the sphere. When the rod is removed, the repulsive force caused by the presence of the rubber rod no longer exists. As the wire is still attached, free electrons enter the sphere from the ground until the sphere is neutral again.</span>
Answer:
D. hydrogen sulfide gas (H2S)
Explanation:
A compound is composed of two or more elements chemically bound together.
In this case, hydrogen is chemically bounded with sulfur to form a gaseous compound called hydrogen sulfide.
<span>Sonata form, consisting of three main sections (exposition, development, recapitulation), is sometimes revisited, and often quoted in the finale as well.</span>