Physics Homework Help
3.2 Quantitative Problems (80 points). Show all the steps involved in your calculation. Present your work as orderly as possible).
FIGURE 8-6
1. 1) An object was a mass of 10.0 kg is at rest at the top of a frictionless inclined plane of length 8.00 m and an
angle of inclination 30.0° with the horizontal. The object is released from this position and it stops at a
distance d from the bottom of the inclined plane along a horizontal surface, as shown in Fig. 8-6. The coefficient of kinetic friction for the horizontal surface of 0.400.
(a) What is the kinetic energy of the object at the bottom of the inclined plane?
(b) What is the speed of the object at the bottom of the inclined plane?
(d) At what horizontal distance from the bottom of the inclined plane will this object stop? Answer:
(e) 392 J
(f) 8.85 m/s
(g) 10.0 m
2) The International Space Station is orbiting at an altitude of about 370 km above the earth’s surface. The mass of the earth is 5.976 x 10 kg and the radius of the earth is 6.378 x 106 m. (10 points)
(a) Assuming a circular orbit, what is the period of the International Space Station’s orbit?
(c) Assuming a circular orbit, what is the speed of the International Space Station in its orbit? Answer:
(d) 5.52 x 103 s
(e) 7.69 x 103 m/s
3) A satellite of mass 500 kg orbits the Earth with a period of 6000 s. The Earth has a mass of 5.98 x 10″ kg. (a) Calculate the magnitude of the Earth’s gravitational force on the satellite. (b) Determine the altitude of the satellite above the Earth’s surface. Answer:
(a) 3900 N
(b) 7 x 105m
4) A planet has two small satellites in circular orbits around the planet. The first satellite has a period 18.0 hours and an orbital radius 2.00 x 10′ m. The second planet has an orbital radius 3.00 x 107 m. What is the period of the second satellite?
B) 60.8 hours
C) 12.0 hours
D) 33.1 hours
E) 9.80 hours
F) 27.0 hours
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