Two identical probes are sent along the same path toward a neutron star. A neutron star...

Two identical probes are sent along the same path toward a neutron star. A neutron star is very dense, packing as much as 2 solar masses2 solar masses into a sphere with a radius on the order of 10 km. At the moment shown, the two probes are d=55.3 kmd=55.3 km and D=178 kmD=178 km away from the center of the neutron star, respectively.

Find the distance between the center of mass of the two probe system and its center of gravity.

Solutions

Expert Solution

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For center of mass

=> X cm = ( M*55.3 + M*178 ) /2M

= 116.65 km

For center of gravity

Gravitational Force , F1 = GMm/55.3²

Gravitational Force , F2 = GMm/178²

=> Center of gravity = ( GMm/55.3² * 55.3 + GMm/178² * 178) / ( GMm/55.3² + GMm/178² )

= 66.1004 km

=> distance b/w center of mass and center of gravity = 116.65 km - 66.1004 km

= 50.55 km

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genius_generous answered 11 months ago

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