A roller-coaster car has a mass of 1000 kg when fully loaded with passengers. As the car passes over the top of a circular hill of radius 23 m, its speed is not changing. (a) At the top of the hill, what is the normal force (using the negative sign for the downward direction) FN on the car from the track if the car's speed is v = 7.8 m/s? (b) VWhat is FN if v = 20 m/s? Use g=9.81 m/s?. (a) Number i Units (b) Number i Units
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- Planetary motion. A planet or asteroid orbits the Sun in an elliptical path'. The diagram shows two points of interest: point P, the perihelion, where the planet is nearest to the Sun, and the far point, or aphelion, at point A. At these two points (and only these two points), the velocity v of the planet is perpendicular to the corresponding "radius" vector ř, from the Sun to the planet. An arbitrary point Q is also shown. P AA student is skateboarding down a ramp that is 5.02 m long and inclined at 23.6° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 2.34 m/s. Neglect friction and find the speed at the bottom of the ramp.If a 2.1 kg object is initially at rest on a frictionless, horizontal surface and subjected to a 13.7 N force in the positive x-direction over a distance of 3.49 meters, what will the object's final speed be? Assume the answer in in m/s.
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