Question
1. Scientists want to place a 3300 kg satellite in orbit around Mars. They plan to have the satellite orbit a distance equal to 2.3
1.
Scientists want to place a 3300 kg satellite in orbit around Mars. They plan to have the satellite orbit a distance equal to 2.3 times the radius of Mars above the surface of the planet. Here is some information that will help solve this problem:
mmars = 6.4191 x 1023 kg rmars = 3.397 x 106 m G = 6.67428 x 10-11 N-m2/kg2
What is the force of attraction between Mars and the satellite?
__N
What speed should the satellite have to be in a perfectly circular orbit?
__ m/s
How much time does it take the satellite to complete one revolution?
__hrs
What should the radius of the orbit be (measured from the center of Mars), if we want the satellite to take 8 times longer to complete one full revolution of its orbit?
__m
2.
A single mass m1= 3.8 kg hangs from a spring in a motionless elevator. The spring is extended x = 10 cm from its unstretched length.
What is the spring constant of the spring?
__ N/m
Now, three masses m1= 3.8 kg, m2= 11.4 kg and m3= 7.6 kg hang from three identical springs in a motionless elevator. The springs all have the same spring constant that you just calculated above.
What is the force the top spring exerts on the top mass?
__ N
What is the distance the lower spring is stretched from its equilibrium length?
__ cm
Now the elevator is moving downward with a velocity of v = -3.7 m/s but accelerating upward with an acceleration of a = 4.7 m/s2. (Note: an upward acceleration when the elevator is moving down means the elevator is slowing down.)
What is the force the bottom spring exerts on the bottom mass?
__N
What is the distance the upper spring is extended from its unstretched length?
__cm
What is the distance the MIDDLE spring is extended from its unstretched length?
__cm
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