PHYSICS HIGH SCHOOL

Planet 1 has mass 3m and radius r, while planet 2 has mass 4m and radius 2r. they are separated by center-to-center distance 8r. a rock is placed halfway between their centers at point o. it is released from rest. ignore any motion of the planets.Part (a) Derive an expression, in terms of relevant system parameters, for the magnitude of the acceleration a of the rock at the moment it is released Part (b) Calculate the magnitude of the acceleratiom of the rock (in m/s2) the moment it is released, using M=2x10^21 kg and R= 25 x10^6
Part (c) The rock is released from rest at point o Derive an expression for the speed v with which the rock crashes into a planet Part (d) Calculate the speed the rock crashes into the planet in m/s

Answers

Answer 1
Answer:

The magnitude of the rock's acceleration half-way between two planets is 1.086 m/s².

The given parameters;

   mass of planet, A = 3M

   radius of the planet A, = R

   mass of planet B, = 4M

   radius of planet B, = 2R

   distance between the two planets, r = 8R

The gravitational force half-way (4R) between the two planets is calculated from Newton's universal gravitational law as follows;

SEE IMAGE 1

The magnitude of the rock's acceleration is calculated from Newton's second law of motion as follows;

SEE IMG 2

Thus, the magnitude of the rock's acceleration is 1.086 m/s².

To know more about magnitude of the rock visit:

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