The force needed to keep a car from skidding on a curve varies jointly as theweight of the car and the square of the car’s speed and inversely as the radiusof the curve. if 126 lb of force keeps a 1200 lb car driving at 25 mph fromskidding on a curve of radius 400 ft, what force would keep the same car going45 mph from skidding on a curve of radius 650 ft?

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Ablock of mass m = 2.5 kg is attached to a spring with spring constant k = 790 n/m. it is initially at rest on an inclined plane that is at an angle of 28 degrees with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is k = 0.14. in the initial position, where the spring is compressed by a distance of a = 0.18 m, the mass is at its lowest position and the spring is compressed the maximum amount. take the initial gravitational energy of the block as zero. b) if the spring pushes the block up the incline, what distance, l, in meters will the block travel before coming to rest? the spring remains attached to both the block and the fixed wall throughout its motion.