An object travels with a constant speed in a circular path. The net force on the object is
1 answer:
Answer:
toward the center
Explanation:
Before answering, let's remind the first two Newton Laws:
1) An object at rest tends to stay at rest and an object moving at constant velocity tends to continue its motion at constant velocity, unless acted upon a net force
2) An object acted upon a net force F experiences an acceleration a according to the equation
where m is the mass of the object.
In this problem, we have an object travelling at constant speed in a circular path. The fact that the trajectory of the object is circular means that the direction of motion of the object is constantly changing: this means that its velocity is changing, so it has an acceleration. And therefore, a net force is acting on it. The force that keeps the object travelling in the circular path is called centripetal force, and it is directed towards the center of the circle (because it prevents the object from continuing its motion straight away).
So, the correct answer is
toward the center
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Answer:
The rest energy of the particle is
The velocity of the particle is
Explanation:
From the question we are told that
The rest energy of the original particle is
The speed of the particle is
The rest energy the first particle is
The rest energy of the second particle is
The first particle has a kinetic energy of positive x
The second particle has a kinetic energy of negative x
The total energy of the first particle is
Substituting values
The total energy of the first particle is
The momentum of the first particle can be mathematically evaluated using this expression
The final energy of both particle is mathematically evaluated as
The momentum of the first particle can be mathematically evaluated using this expression
The negative sign shows that he direction is negative x-axis
The final momentum of both particle is mathematically evaluated as
Substituting value
According to the law of conservation of momentum and the conservation of energy the final energy and momentum of both particle must be equal to the initial energy of the original particle
Then the rest energy is mathematically represented as
Substituting values
The velocity of the original particle can be obtained from the mathematical expression as follows
Where c is the speed of light with value
Substituting value