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Jan. 31, 2023•0 likes•2 views

Jan. 31, 2023•0 likes•2 views

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Q6. A satellite orbits the Earth in a circular orbit with radius r and speed v . Suppose the orbiting radius is increased by a factor of 2, in order to stay in a stable orbit the orbiting speed must A. (2)^(1/2) v B. v /(2)^(1/2) C. v /2 D. 2 v E. Remain the same Q7. A circular cylinder with mass of 1 kg and radius a=0.1 m is rotating about its cylindrical axis at a rate of 5 revolutions per second. It is then placed on a flat surface. Assuming that there is no dissipation at contact and the cylinder is rolling without slipping (with negligible rolling friction) on the flat surface, its translational speed is A.Â Â Â Â 3.14 m/sec B.Â Â Â Â 2.53 m/sec C.Â Â Â Â 2.22 m/sec D.Â Â Â Â 1.81 m/sec E.Â Â Â Â 1.41 m/sec Solution orbital speed V^2 = GM/R here R is the radius of the earth so V2^2/V^2 = R1/R2 V2^2/V^2 = R/2R = 1/2 V2 = [v /(2)^(1/2)] Option (b) is correct. Please rate if it is correct and ask if you have any query. Kindly ask other questions in New post. .

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- 1. Q6. A satellite orbits the Earth in a circular orbit with radius r and speed v . Suppose the orbiting radius is increased by a factor of 2, in order to stay in a stable orbit the orbiting speed must A. (2)^(1/2) v B. v /(2)^(1/2) C. v /2 D. 2 v E. Remain the same Q7. A circular cylinder with mass of 1 kg and radius a=0.1 m is rotating about its cylindrical axis at a rate of 5 revolutions per second. It is then placed on a flat surface. Assuming that there is no dissipation at contact and the cylinder is rolling without slipping (with negligible rolling friction) on the flat surface, its translational speed is A.Â Â Â Â 3.14 m/sec B.Â Â Â Â 2.53 m/sec C.Â Â Â Â 2.22 m/sec D.Â Â Â Â 1.81 m/sec E.Â Â Â Â 1.41 m/sec Solution orbital speed V^2 = GM/R here R is the radius of the earth so
- 2. V2^2/V^2 = R1/R2 V2^2/V^2 = R/2R = 1/2 V2 = [v /(2)^(1/2)] Option (b) is correct. Please rate if it is correct and ask if you have any query. Kindly ask other questions in New post.