Acyclist rides her bike 7 mi east, and then 2 mi north before taking a break. then she rides 5 mi east and then 3 mi north. what are the magnitude and direction of the cyclist’s resultant displacement? magnitude: 13.0 mi; direction: 22.6° north of east magnitude: 13.0 mi; direction: 67.4° north of east magnitude: 10.9 mi; direction: 67.4° north of east

A0.580-kg rock is tied to the end of a string and is swung in a circle with a radius of 0.500 meters. the velocity of the rock is 4.50 m/s. what is the centripetal force acting on the rock? 15.5 n 5.22 n 69.8 n 23.5 n

An alpha particle with kinetic energy 12.5 mev makes a collision with lead nucleus, but it is not "aimed" at the center of the lead nucleus, and has an initial nonzero angular momentum (with respect to the stationary lead nucleus) of magnitude l = p0 b, where p0 is the magnitude of the initial momentum of the alpha particle and b=1.40×10−12 m. (assume that the lead nucleus remains stationary and that it may be treated as a point charge. the atomic number of lead is 82. the alpha particle is a helium nucleus, with atomic number 2.) what is the distance of closest approach?

)consider two positively charged particles, one of charge q0 (particle 0) fixed at the origin, and another of charge q1 (particle 1) fixed on the y-axis at (0,d1,0). what is the net force f⃗ on particle 0 due to particle 1?