I know this is a question about relativistic momentum but im not sure which equation to use. It seems like the kinetic energy equation can be copmined with the relativistic momentum equation but im not sure what to put in for mass.

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A woman is 1.59 m tall and has a mass of 60.0 kg. She moves pastanobserver with the direction of the motion parallel to herheight.The observer measures her relativistic momentum to have amagnitudeof 2.19E+10 kgÂ·m/s. What does the observer measure forherheight?

This is all i know..
v=sqrt[p^2/(m^2+(p^2/c^2))]

Ill do anything if could someone help me out and walk methrough...i have a final coming up soon..
Thanks!!!

Theoretical question here on relativity and black holecollisions.

Suppose a very small black hole (A) is at rest and an observer iswithin its event horizon.
Now consider that a much larger black hole (B) is approachingsingularity A at a highly relativistic speed (hence very highlyrelativistic momentum), and the two singularities collide head-on(extreme precision).

Now, by Conservation of Relativistic Momentum, the twosingularities (whether they fuse together or not) should travel inthe direction of initial motion of the larger black hole (B)because it had much more momentum.

Q: Is it possible for the observer, initially suspended withinevent horizon of Black hole (A), to escape both black holes becausethe collision would cause the 2 singularities to recede away fromher at a very high relativistic speed?

That is to say, would this bizarre black hole collision allow anobserver to escape a black hole and violate the concept of theevent horizon? If so, since not even light can escape a black holefrom within the horizon, would this imply that the observer isreceding away from the two singularities at a relative speedgreater than c? What sort of physical implications would this have,what would happen to the local spacetime? What strange events mightoccur? If this event is not possible, please explain explicitly whynot. If the observer did not escape, what sort of strange thingsmight she see when being dragged by the receding 2singularities?

A force is applied to an object with a finite (non-zero) mass toaccelerate it. The speed of the object increases until it is veryclose to the speed of light. If the force continues to be appliedwithout interruption, which, if any, of the following statementsis/are true about the physical properties of the movingobject?

1)The speed of the object will always be less than c.
2)The rest mass of the object will increase without bound.
3)The momentum of the object will remain constant.
4)The rest mass of the object will remain constant.
5)The kinetic energy of the object will increase until reaching amaximum value.
6)The relativistic mass of the object will increase until reachinga maximum value.

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I know this is a question about relativistic momentum but im not sure which equation to use. It seems like the kinetic energy equation can be copmined with the relativistic momentum equation but im not sure what to put in for mass.

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Physics: Principles with Applications

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