gravitational field strength & satellites. gravitational field strength gravitational force per...
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![Page 1: Gravitational Field Strength & Satellites. Gravitational Field Strength Gravitational force per unit mass on an object g = F g / m (units = N/Kg) g =](https://reader035.vdocuments.net/reader035/viewer/2022071806/56649ced5503460f949ba233/html5/thumbnails/1.jpg)
Gravitational Field Strength & Satellites
![Page 2: Gravitational Field Strength & Satellites. Gravitational Field Strength Gravitational force per unit mass on an object g = F g / m (units = N/Kg) g =](https://reader035.vdocuments.net/reader035/viewer/2022071806/56649ced5503460f949ba233/html5/thumbnails/2.jpg)
Gravitational Field Strength
Gravitational force per unit mass on an object
g = Fg / m
(units = N/Kg) g = gravitational field strength Fg = Force of gravity (also weight) m = mass
![Page 3: Gravitational Field Strength & Satellites. Gravitational Field Strength Gravitational force per unit mass on an object g = F g / m (units = N/Kg) g =](https://reader035.vdocuments.net/reader035/viewer/2022071806/56649ced5503460f949ba233/html5/thumbnails/3.jpg)
Gravitational Field Strength
Example Problem:
While in orbit in the space shuttle, the gravitational field strength on an astronaut is 7.83 N/Kg.
1. How much does an 80 kg astronaut weigh on the shuttle?
2. How much does the astronaut weigh on Earth?
![Page 4: Gravitational Field Strength & Satellites. Gravitational Field Strength Gravitational force per unit mass on an object g = F g / m (units = N/Kg) g =](https://reader035.vdocuments.net/reader035/viewer/2022071806/56649ced5503460f949ba233/html5/thumbnails/4.jpg)
Gravitational Field Strength ProblemHow much does an 80 kg astronaut weigh on
the shuttle?g = Fg / m (solve for Fg)
Fg= (7.83 N/Kg) x (80 Kg)= 626.4 N (we don’t express in N)= 626.4 N x .22 lbs/N= 137.8 lbs
![Page 5: Gravitational Field Strength & Satellites. Gravitational Field Strength Gravitational force per unit mass on an object g = F g / m (units = N/Kg) g =](https://reader035.vdocuments.net/reader035/viewer/2022071806/56649ced5503460f949ba233/html5/thumbnails/5.jpg)
Gravitational Field Strength Problem
How much does the astronaut weigh on Earth?
Fg = (9.8 N/Kg) x (80 Kg)
= 784 N
= (784 N) x (.22 lbs/N)
= 172.5 lbs
![Page 6: Gravitational Field Strength & Satellites. Gravitational Field Strength Gravitational force per unit mass on an object g = F g / m (units = N/Kg) g =](https://reader035.vdocuments.net/reader035/viewer/2022071806/56649ced5503460f949ba233/html5/thumbnails/6.jpg)
Satellite Speed & Period
Remember, to solve for altitude you must include the radius of the Earth
To solve for altitude, use the equation a = v2 (solve for “r”)
rspeed / velocity: v = sqrt Gxm / rperiod: T = 2π x sqrt R3
GM
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Satellite Speed & Period
When solving these problems, you use the “M” – the large mass that the satellite is revolving around
“R” – the radius / altitude of the satellite above the object it is orbiting