Q#2 (a) A race track designer for average speed of 240km/hr(66.7m/s) is to have
ID: 1671772 • Letter: Q
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Q#2 (a) A race track designer for average speed of 240km/hr(66.7m/s) is to have a turn with a radius of 975m.To what anglemust the track be banked so that cars traveling at240km/hr have notendancy to slip sideways? (b)Jupiter's moon Europa has an average orbital radius of6.67x10base 8m and a period of 85.2 h. calculate the magnitude of(a) its average orbital speed (b) the angular velocity (c) thecentripetal acceleration of Europa. (c)What is the gravitational force between thesun(M=1.99*10base 30kg) and the planet Uranus (M=14.5Mearth)radius=19.2 AU. (d) What is the radius of the orbit of a communicationsatellite that always above the same point on the earths surface(Geosynchronous satellite)? Q#2 (a) A race track designer for average speed of 240km/hr(66.7m/s) is to have a turn with a radius of 975m.To what anglemust the track be banked so that cars traveling at240km/hr have notendancy to slip sideways? (b)Jupiter's moon Europa has an average orbital radius of6.67x10base 8m and a period of 85.2 h. calculate the magnitude of(a) its average orbital speed (b) the angular velocity (c) thecentripetal acceleration of Europa. (c)What is the gravitational force between thesun(M=1.99*10base 30kg) and the planet Uranus (M=14.5Mearth)radius=19.2 AU. (d) What is the radius of the orbit of a communicationsatellite that always above the same point on the earths surface(Geosynchronous satellite)?Explanation / Answer
(a).Speed v = 240 km / h = 240 * ( 5/ 18 ) m / s
= 66.6666 m / s
Radius r = 975 m
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