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

Free

90.2K

Verified Solution

Question

Physics

Two identical probes are sent along the same path toward aneutron star. A neutron star is very dense, packing as much as 2solar masses2 solar masses into a sphere with a radius on the orderof 10 km. At the moment shown, the two probes are d=55.3 kmd=55.3km 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 probesystem and its center of gravity.

Answer & Explanation Solved by verified expert

4.0 Ratings (410 Votes)

__________________________________________

For center of mass

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

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 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 )

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 66.1004 km^{Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â}Â Â

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

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 50.55 km

__________________________________________

Please rate
if any mistake in this answer please comment i will clarify your doubt . thank you

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member