Answer:
Explanation:
This is a recoil problem, which is just another application of the Law of Momentum Conservation. The equation for us is:
which, in words, is
The momentum of the astronaut plus the momentum of the piece of equipment before the equipment is thrown has to be equal to the momentum of all that same stuff after the equipment is thrown. Filling in:
Obviously, on the left side of the equation, nothing is moving so the whole left side equals 0. Doing the math on the right and paying specific attention to the sig fig's here (notice, I added a 0 after the 4 in the velocity value so our sig fig's are 2 instead of just 1. 1 is useless in most applications).
0 = 90.0v - 2.0 and
2.0 = 90.0v so
v = .022 m/s This is the rate at which he is moving TOWARDS the ship (negative was moving away from the ship, as indicated by the - in the problem). Now we can use the d = rt equation to find out how long this process will take him if he wants to reach his ship before he dies.
12 = .022t and
t = 550 seconds, which is the same thing as 9.2 minutes
Answer:
and . The missing ion would be .
Explanation:
In a double replacement reaction, two ionic compounds exchange their ions to produce two different ionic compounds.
In this question, the two ionic compounds are:
- , and
- .
In particular,
- is made up of ions and ions, while
- is made up of ions and ions.
In a binary ionic compound, cations (positive ions) can only bond to anions (negative ions.)
- is a cation. In , was bounded anions. During the reaction, it bonds with anions to produce .
- is also a cation. In , was bounded to ions. During the reaction, it bonds with anions to produce .
Hence, the two products will be and .
Note that charges on the ions must balance. For example, a ion carries twice as much charge as an ion. As a result, each ion would bond with twice as many ions as would in .
Answer:
25 m/s
Explanation:
Centripetal acceleration is the square of the tangential velocity divided by the radius.
a = v² / r
15.625 m/s² = v² / (40 m)
v² = 625 m²/s²
v = 25 m/s
The speed of the car is 25 m/s.
Answer:
21000 N
Explanation:
From the question given above, the following data were obtained:
Change in momentum = 105000 kg.m/s
Time = 5s
Force =?
Force is related to momentum and time according to the following formula:
Force = Change in momentum / time
With the above formula, we can calculate the force the white car experience during the collision. This can be obtained as illustrated below:
Change in momentum = 105000 kg.m/s
Time = 5s
Force =?
Force = Change in momentum / time
Force = 105000 / 5
Force = 21000 N
Thus, the white car experience a force of 21000 N during the collision.