5 satellites make circular orbit about an object that is muchmore massiven than any of the satellites. Mass and orbitalradius of each satellite is given below. Which satellite hasgreatest speed Mass Radius A 1/2m R B m 1/2 R C m 3R D m 2R E 2m 1/2 R Explain answer 5 satellites make circular orbit about an object that is muchmore massiven than any of the satellites. Mass and orbitalradius of each satellite is given below. Which satellite hasgreatest speed Mass Radius A 1/2m R B m 1/2 R C m 3R D m 2R E 2m 1/2 R Explain answer
Explanation / Answer
since F=GMm1/r2 GM is fixed for a massiver object. A. m1/r2 = (1/2)m/R2 =m/2R2 B. m1/r2 = m/(R/2)2 =4m/R2 C. m1/r2 = m/(3R)2 =m/9R2 D. m1/r2 = m/(2R)2 =m/4R2 E. m1/r2 = 2m/(R/2)2 = 8m/R2 E has greatest force since F = m1a = m1v2/r =>v2 = F*r/m1 consider: F*r/m1 ˜( m1/r2)r /m1= 1/r A. 1/2R B. 2/R C. 1/3R D. 1/2R E. 2/R B and E has the greatest speed. E has greatest force since F = m1a = m1v2/r =>v2 = F*r/m1 consider: F*r/m1 ˜( m1/r2)r /m1= 1/r A. 1/2R B. 2/R C. 1/3R D. 1/2R E. 2/R B and E has the greatest speed. A. 1/2R B. 2/R C. 1/3R D. 1/2R E. 2/R B and E has the greatest speed.