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maude a posé la question dans Science & MathematicsPhysics · il y a 2 ans

Help physic gravitational (exam tomorrow)?

A binary star system has two stars of equal mass mstar, separated by a distance r. A comet of mass mcomet is very far away essentially at rest. Slowly, gravity pulls the comet towards the stars along a trajectory that passes through the midpoint between the two stars

question 1:a) Draw a free body diagram for the comet when it passes through the midpoint and find the net force acting on the comet at that point.

Question 2: Find the potential energy of the comet at the midpoint between the stars

Question 2 Find the potential energy of the comet at the midpoint between the stars

Question 3: Find the velocity of the comet when it passes through the midpoint between the two star

Those were what I try:

question 1: I put two opposite arrow (Fg) and said that the total net force is zero

question 2: Ug=-4Gm(start)m(comet)/r

question 3: v= sqrt(Gm(star))*2

my exam is tmr and my professor have not post the answer! help please

1 réponse

Pertinence
  • il y a 2 ans

    1a and 2, agreed.

    3. I'll use M for the mass of each star and m for the mass of the comet.

    KE gained = PE lost

    ½mv² = 4GMm/r

    v² = 8GM/r (multiplied both sides by 2 and cancelled m)

    v = √(8GM/r) which can also be written 2√(2GM/r)

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