The escape velocity of the earth is “v”. If an object is thrown vertically upwards with a velocity “kv”, what is the speed of the object at infinity?(a) v/(k^2-1)^1/2(b) v(k^2-1)^1/2(c) v^2/(k^2-1)(d) v^2 (k^2-1)This question was addressed to me in examination.My question is taken from Gravitation topic in chapter Gravitation of Physics – Class 11

The escape velocity of the earth is “v”. If an object is thrown ve

1.	The escape velocity of the earth is “v”. If an object is thrown vertically upwards with a velocity “kv”, what is the speed of the object at infinity?(a) v/(k^2-1)^1/2(b) v(k^2-1)^1/2(c) v^2/(k^2-1)(d) v^2 (k^2-1)This question was addressed to me in examination.My question is taken from Gravitation topic in chapter Gravitation of Physics – Class 11
Answer» The correct OPTION is (B) v(k^2-1)^1/2 Easy explanation: From the law of conservation of energy, we have; (m x (kv) ^2)/2 – (G x M x m)/R = (m x p^2)/2 m = MASS of object M = Mass of earth R = Radius of the earth p = Velocity of the object at infinity (kv)^2/2 –(g x R) = p^2/2 (kv)^2/2 – v^2/2 = p^2/2; v = (2 x g x R) ^½ (k^2-1)v^2 = p^2 Therefore; p = v(k^2-1) ^1/2.

Discussion

No Comment Found

Related InterviewSolutions

A geosynchronous satellite always appears fixed in the sky.(a) True(b) FalseI had been asked this question in final exam.My doubt stems from Gravitation topic in division Gravitation of Physics – Class 11
A geostationary satellite seems to be fixed in the sky because it does not orbit the earth.(a) True(b) FalseI had been asked this question in an international level competition.Question is from Gravitation topic in portion Gravitation of Physics – Class 11
Most waves used for communication purposes rely on geostationary satellites because _____(a) they cannot transmit data at long distances due to curvature of the earth(b) they are reflected by the atmosphere(c) they are very cheap(d) it does not occupy space on the earth’s surfaceI have been asked this question in exam.Question is taken from Gravitation in division Gravitation of Physics – Class 11
Two satellites of masses 50 kg and 100 kg revolve around the earth in circular orbits of radii 9R and 16R. What is the ratio of speeds of the two satellites?(a) 3:4(b) 4:3(c) 9:16(d) 16:9I had been asked this question during an interview for a job.The origin of the question is Gravitation in chapter Gravitation of Physics – Class 11
The satellites orbiting the earth, eventually fall to the earth when they are left unsupervised or unattended because _____(a) their power supply runs out(b) of viscous forces causing the speed of the satellite and hence height to gradually decrease(c) the laws of gravitation predict such a trajectory(d) of collisions with other satellitesI have been asked this question in unit test.This interesting question is from Gravitation topic in chapter Gravitation of Physics – Class 11
The value ofthe gravitational field in a region is given by g = 2i + 3j. What is the change in gravitational potential energy of a particle of mass 5kg when it is taken from the origin O(0,0) to a point P(10, -5)? (Letters in bold are vectorial representations)(a) 5 J(b) 10 J(c) 25 J(d) 50 JThis question was addressed to me in semester exam.I need to ask this question from Gravitational Potential Energy topic in division Gravitation of Physics – Class 11
The velocity with which an object should be projected from the surface of the earth such that it reaches a maximum height equal to “n” time the radius of earth “R” is _____ (M = Mass of the earth)(a) [(n*G*M)/(n+1)R] ^1/2(b) [((n+1)*G*M)/(n+1)R] ^2(c) [(n*G*M)/(n+1)R](d) [((n+1)*G*M)/nR] ^2The question was asked in final exam.My question is from Gravitational Potential Energy in section Gravitation of Physics – Class 11
The gravitational potential energy of a body at a distance “r” from the centre of the earth is V. Its weight at a distance “2r” from the centre of the earth is _____(a) V/r(b) V/4r(c) V/2r(d) 4V/rThis question was addressed to me at a job interview.I'd like to ask this question from Gravitational Potential Energy in chapter Gravitation of Physics – Class 11
The PSLV rockets of India launch satellites into the high-earth orbit.(a) True(b) FalseThis question was addressed to me during an interview for a job.My doubt is from Gravitation topic in division Gravitation of Physics – Class 11
The only natural satellite of India is the moon.(a) True(b) FalseThe question was posed to me in an interview for internship.The query is from Gravitation topic in portion Gravitation of Physics – Class 11

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment