GO Two small spaceships, each with mass m = 2000 kg, are in the circular Earth orbit of Fig. 13-51, at an altitude h of 400 km, Igor the commander of one of the ships, arrives at any fixed point in the orbit 90 s ahead of Picard, the commander of the other ship. What are the (a) period T 0 and (b) speed v 0 of the ships? At point P in Fig. 13-51, Picard fires an instantaneous burst in the forward direction, reducing his ship's speed by 1.00%. After this burst, he follows the elliptical orbit shown dashed in the figure. What are the (c) kinetic energy and (d) potential energy of his ship immediately after the burst? In Picard’s new elliptical orbit, what are (e) the total energy E, (f) the semi major axis a , and (g) the orbital period T ? (h) How much earlier than Igor will Picard return to P ? Figure 13-51 Problem 68.
GO Two small spaceships, each with mass m = 2000 kg, are in the circular Earth orbit of Fig. 13-51, at an altitude h of 400 km, Igor the commander of one of the ships, arrives at any fixed point in the orbit 90 s ahead of Picard, the commander of the other ship. What are the (a) period T 0 and (b) speed v 0 of the ships? At point P in Fig. 13-51, Picard fires an instantaneous burst in the forward direction, reducing his ship's speed by 1.00%. After this burst, he follows the elliptical orbit shown dashed in the figure. What are the (c) kinetic energy and (d) potential energy of his ship immediately after the burst? In Picard’s new elliptical orbit, what are (e) the total energy E, (f) the semi major axis a , and (g) the orbital period T ? (h) How much earlier than Igor will Picard return to P ? Figure 13-51 Problem 68.
GO Two small spaceships, each with mass m = 2000 kg, are in the circular Earth orbit of Fig. 13-51, at an altitude h of 400 km, Igor the commander of one of the ships, arrives at any fixed point in the orbit 90 s ahead of Picard, the commander of the other ship. What are the (a) period T0 and (b) speed
v
0 of the ships? At point P in Fig. 13-51, Picard fires an instantaneous burst in the forward direction, reducing his ship's speed by 1.00%. After this burst, he follows the elliptical orbit shown dashed in the figure. What are the (c) kinetic energy and (d) potential energy of his ship immediately after the burst? In Picard’s new elliptical orbit, what are (e) the total energy E, (f) the semi major axis a, and (g) the orbital period T? (h) How much earlier than Igor will Picard return to P?
The gravitational force exerted by the earth on a unit massat a distance r from the center of the planet is
where M is the mass of the earth,R is its radius, and G isthe gravitational constant. Is F a continuous function of r ?
When a falling meteoroid is at a distance above the Earth's surface of 3.30 times the Earth's radius, what is its acceleration (m/s2 towards earth) due to the Earth's gravitation?
We are presented with a particle of mass (m = 4.56 kg) which is in uniform circular motion going around a fixed point O. It had a radius of orbit (r = 3.63 m) and it experiences a net force of magnitude F = Br toward the fixed point O, where B = 2.75 Nm.
What is the period of the particles orbit?
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