Approaching the ISS A Russian Soyuz module, with three astronauts and a full load of cargo, has a mass of 7500 kg. The International Space Station (ISS) has a mass of 420,000 kg. When Soyuz docks at the ISS, the two centers of mass are separated by 9.5 m. (a) Find the average of the gravitational force of attraction between the two spacecraft when Soyuz is docked and when it is 110 m from the ISS. (b) If Soyuz approached the ISS from rest at a distance of 110 m, a thruster would have to counteract the average force of gravitational attraction between it and the ISS. If this thruster has an exhaust velocity of 590 m/s, at what average rate must it burn fuel (in kg/s) to counteract the pull of the ISS? (See Section 9-8 for a discussion of thrust.) (c) If the approach requires 330 s, how much fuel will the thruster burn in order to counteract the gravitational attraction?
Approaching the ISS A Russian Soyuz module, with three astronauts and a full load of cargo, has a mass of 7500 kg. The International Space Station (ISS) has a mass of 420,000 kg. When Soyuz docks at the ISS, the two centers of mass are separated by 9.5 m. (a) Find the average of the gravitational force of attraction between the two spacecraft when Soyuz is docked and when it is 110 m from the ISS. (b) If Soyuz approached the ISS from rest at a distance of 110 m, a thruster would have to counteract the average force of gravitational attraction between it and the ISS. If this thruster has an exhaust velocity of 590 m/s, at what average rate must it burn fuel (in kg/s) to counteract the pull of the ISS? (See Section 9-8 for a discussion of thrust.) (c) If the approach requires 330 s, how much fuel will the thruster burn in order to counteract the gravitational attraction?
Approaching the ISS A Russian Soyuz module, with three astronauts and a full load of cargo, has a mass of 7500 kg. The International Space Station (ISS) has a mass of 420,000 kg. When Soyuz docks at the ISS, the two centers of mass are separated by 9.5 m. (a) Find the average of the gravitational force of attraction between the two spacecraft when Soyuz is docked and when it is 110 m from the ISS. (b) If Soyuz approached the ISS from rest at a distance of 110 m, a thruster would have to counteract the average force of gravitational attraction between it and the ISS. If this thruster has an exhaust velocity of 590 m/s, at what average rate must it burn fuel (in kg/s) to counteract the pull of the ISS? (See Section 9-8 for a discussion of thrust.) (c) If the approach requires 330 s, how much fuel will the thruster burn in order to counteract the gravitational attraction?
Example
Two charges, one with +10 μC of charge, and
another with - 7.0 μC of charge are placed in
line with each other and held at a fixed distance
of 0.45 m. Where can you put a 3rd charge of +5
μC, so that the net force on the 3rd charge is
zero?
*
Coulomb's Law Example
Three charges are positioned as seen below. Charge
1 is +2.0 μC and charge 2 is +8.0μC, and charge 3 is -
6.0MC.
What is the magnitude and the direction of the force
on charge 2 due to charges 1 and 3?
93
kq92
F
==
2
r13 = 0.090m
91
r12 = 0.12m
92
Coulomb's Constant: k = 8.99x10+9 Nm²/C²
✓
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