What is the period of second planet orbits

Question

Assignment:

Problems:

1. In a distant galaxy, a planet orbits its sun at a distance of 1.8 x 10¹²m with a period of 10⁸ s. A second planet orbits the same sun at a distance of 9 x 10¹¹m. What is the period of the second planet?

A) 5 x 10⁷s
B) 2x 10⁸ s
C) 0.35 x 10⁸ s
D) 2.8x 10⁸ s
E) 5 x 10⁸ s

2. The orbits of two planets orbiting a star are shown. The semimajor axis of planet A is twice that of planet B.

a. 2T_B

b. 2 √2 T_B

c. 3TB

d. √3T_B

e. 4T_B

3. You are in a spaceship that has a mass of 13 x 10⁴ kg and is 2.2 x 10¹²m from a black hole near the center of the galaxy. The gravitational force exerted by the black hole on the spaceship is 46 N. The force on the ship when it has moved to one-third of its original distance from the black hole is

A) 410 N
B) 140 N
C) 150 N
D) 5.0 N
E) 730 N

4. The sign in the figure weighs 200 N. The boom is of uniform construction If the force exerted by the hinge on the boom is 300 N and acts at an angle of 20° above the horizontal, the angle the tic cable makes with the positive x axis is,

A) -47°

B) -137°

C) -43°

D) -163°

E) None of these is correct

5. The horizontal boom supporting the sign is of uniform construction and weighs 50 N. If the sign weighs 150 N, the tension in the  supporting cable is

a. -350 N
b. -303 N
c. -25 N
d. -550 N
e. None of these is correct

6. The horizontal boom supporting the sign is of uniform construction and weighs 50 N. If the sign weighs 150 N, the force exerted by the hinge on the boom is,

a. -350 N
b. -304 N
c. -25 N
d. -550 N
e. None of these is correct.

7. A heavy block is supported by three lines as shown. Which of the following statements is true in its entirety?

a T₁ > T₂ and T₂ > T₃

b T₂ > T₁ and T₁ > T₃

c T₂ > T₃ and T₃ > T₁

d T₃ > T₁ and T₁ > T₂

e T₁ > T₃ and T₂ > T₃

8. When a certain truck stands on a level roadway, its front wheels support 1.11 kN, and its rear wheels support 18.9 kN. If the front and rear axles are 3.66 m apart, the horizontal distance between the rear axle and the center of gravity of the truck is approximately

A) 0.305 m
B) 0.610 m
C) 0.244 m
D) 0.229 m
E) 0.203 m

9. If you neglect the weight of the boom, what is the maximum weight W that can be suspended from the boom if the horizontal guy wire will break under a tension of 5.60 kN?

A) 4.00 kN
B) 5.60 kN
C) 6.70 kN
D) 4.23 kN
E) 3.00 kN