Question

niform circular motion has a uniform speed v and carries an acceleration v-sq/radius such that the direction would change to give a circular path or trajectory raction for the case of satellite, contact force for the case of roller coaster, a string tension acting on a circulating blob, holding etc. The force to maintain the acceleration or the force causing the acceleration could be gravitational 6.67E-11 N meter-sa/ kg-sq Gravitational attraction F Gm1m2/distance/distance with G Kinetic equation vf'vf vo v+2a distance Multiply by 0.5mass gives 0.5*m*vftvf 0.5*m*vorvo ma*distance Work - Force distance cos Final kinetic energy 0.5*mass vf'vf, initial Ke 0.5*m'vo vo Gravitational work mg height potential energy A 4,000 kg roller coaster moving at 3 m/s on a hiltop would slide downward into a valley structure with the lowest point 35 meter below the hilltop. The valley structure could be modeled as a semicircle with a radius of 12 meter. Find the support force magnitude at the lowest point if the track was smooth negligible friction. A 130 kg geosynchronous satellite has a period of 24 hours. Find the altitude using Earth mass 6E24 kg and Earth radius 6.4 million meters. G 6.67 E-11 unit A conical pendulum with a 5 kg blob made an angle of 30 degrees with the vertical. The horizontal circulating speed was 3 m/s. Find the tension given a 5 meter string. 4a A highway road was banked so that the tilted surface would provide a turning force for a vehicle making a 50-meter radius turn at 20 m/s. Find the bank-angle. 4b If the surface was flat, find the friction coefficient that could support a 50-meter turning at 20 m/s. A 5-meter pendulum with a 2 kg blob had a maximum swing angle of 30 degrees. Find the speed of the blob when the blob was at the lowest position. Find the tension when the blob was at the lowest position.

Answer 1