Would someone please go over this and make sure I got the right answers. Thank y

Question

Would someone please go over this and make sure I got the right answers. Thank you so much!

Planet Omega moves counterclockwise in an elliptical orbit about Sun Alpha as illustrated in diagram on the right. The mass of Planet Omega is significantly smaller than the mass of Sun Alpha. Which of the following statements is true? a. The gravitational force acting on Planet Omega at Position D due to Sun Alpha is greater than the gravitational force acting on Sun Alpha due to Planet Omega at Position D. b. Planet Omega moves at a constant speed as it orbits Sun Alpha. c. Planet Omega experiences the greatest acceleration at Position C. d. Planet Omega experiences the greatest gravitational force due to Sun Alpha at position B. e. Planet Omega speeds up as it moves from Position C to Position A. A driver is a golf club that consists of a large club head and a long shaft with a grip at the end for a golfer to hold onto the club. Assume the club head has more mass than the shaft. If you want to hold a driver on your palm so it balances vertically, you should: a. Put the end of the shaft with the grip in your palm, with the club head up so that the center of gravity is lowered. b. Put the end with the club head in your palm, with the shaft up so that the critical angle is increased. c. Put the end with the club head in your palm, with the shaft up so that the center of gravity is elevated. d. The golf club will be equally easy to balance in either configuration. e. Put the end with the club head in your palm, with the shaft up so that the critical angle is decreased. f. Put the end of the shaft with the grip in your palm, with the club head up so that the base of support increased. A 5.0 kg block is placed at the end of spring B that is suspended vertically and supported by the ceiling. It stretches 0.3 m relative to its original length. A 3.0 kg block is placed at end of spring A that is also suspended vertically and supported by the ceiling. It stretches 0.5 m relative to its original length.. The two spring/mass systems are then vertically displaced and set in motion. Which of the following statements is true? a. The spring constants for the two springs are equal. b. Spring A is more rigid than Spring B. c. Neither spring has a spring constant. d. Spring B is stiffer than Spring A e. The net force acting on the spring/block system is the weight of the spring/block

Explanation / Answer

1) e

because, orbital speed, vo = sqrt(G*M/r)

as r decreases vo inceases.

2) e

3) b

kA = mA*g/xA = 5*9.8/0.3 = 163 N/m

kB = mB*g/xB = 3*9.8/0.5 = 58.8 N/m

so, spring A is stronger than spring B.

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