A sphere of mass m = 2.5 kg can move across a horizontal, frictionless surface. Attached to the sphere is an ideal spring with spring constant k = 27 N/m. At time t = 0 the sphere is pulled aside from the equilibrium position, x=0, a distance d = 12 cm in the positive direction and released from rest. After this time, the system oscillates between x = ± d.

Determine the magnitude of the force, in newtons, required to initially displace the sphere d=11 cm from equilibrium

A-4.60 μc charge is moving at a constant speed of 6.80×105 m/s in the +x−direction relative to a reference frame. at the instant when the point charge is at the origin, what is the magnetic-field vector it produces at the following points.

The amount of potential energy possessed by an elevated object is equal to what?

You have two photos of a person walking. one shows the person at the corner of third and main streets, the other shows the person at the corner of tenth and main streets. there are lampposts at every corner in this town, and the first picture shows it to be 10: 32: 00 exactly. the second picture shows it to be 10: 49: 30. you know three facts: (1) all of the clocks are synchronized; (2) there are exactly 12 equal-sized blocks per kilometer in this town; and (3) the streets that cross main in this area are numbered consecutively, with no interruptions. what is the person’s average speed in kilometers per hour?