They have a direct relationship. As mass increases, kinetic energy increases.
Answer:
a
The mass is
b
The velocity is
Explanation:
From the question we are told that
The speed of the protons is
The mass of the protons is
The speed of the rebounding protons are
The negative sign shows that it is moving in the opposite direction
Now according to the law of energy conservation mass of one nucleus of the unknown element. is mathematically represented as
Where is the mass of a single proton
So substituting values
The mass of on proton is
So
Now according to the law of linear momentum conservation the speed of the unknown nucleus immediately after such a collision is mathematically evaluated as
Now because before collision the the nucleus was at rest
So
=>
Recall that
So
=>
substituting values
The initial velocity is obtained as 2.5 m/s.
<h3>What is the initial speed?</h3>
To obtain the initial speed, we have to apply the law of conservation of linear momentum which states that momentum before collision is equal to momentum after collision.
Now, the two fragments initially had one velocity before they were split in two directions opposite each other;
Applying the principle of conservation of linear momentum to this problem;
(2 + 10)v = (6 * 10) - (2 * 15) (they moved in opposite directions)
12v =60 - 30
12v = 30
v = 30/12
v = 2.5 m/s
Learn more about momentum:brainly.com/question/24030570
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