Adriver driving along a highway at a steady 45 mph (66 ft/sec) sees an accident ahead and slams on the brakes. what constant deceleration is required to stop the car in 242 ft? to find out, carry out the following steps. (1) solve the following initial value problem. startfraction d squared s over dt squared endfraction equals negative k (k constant), with startfraction ds over dt endfraction equals66 and sequals0 when tequals0 (2) find the value of t that makes startfraction ds over dt endfraction equals0. (the answer will involve k.) (3) find the value of k that makes sequals242 for the value of t found in the step (2).

Why there is no inductive reactance in dc circuits

Ablock of mass m = 2.5 kg is attached to a spring with spring constant k = 740 n/m. it is initially at rest on an inclined plane that is at an angle of theta= 26 with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is uk = 0.17. in the initial position, where the spring is compressed by a distance of d = 0.16 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. the block's initial mechanical energy is 9.472 j.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.

Aparticle of mass m is placed in a one-dimensional box of length l. the box is so small that the particle’s motion is relativistic, so that e p2/2m is not valid. (a) derive an expression for the energy levels of the particle using the relativistic energy–momentum relation and the quantization of momentum that derives from connement. (b) if the particle is an electron in a box of length l 1.00 1012 m, nd its lowest possible kinetic energy. by what percent is the nonrelativistic formula for the energy in error?