Un camion sin control con falla en sus frenos baja por una pendiente a 130 km/h, justo antes que el conductor dirija al vehıculo hacia arriba en una rampa de escape de emergencia, sin friccion y con una inclinacion de θ = 15o. La masa del camion es 1.2×104 kg. (a) ¿Qu´e longitud L mınima debe tener la rampa si el camion debe detenerse (momen´aneamente) a lo largo de ella?

The scalar triple product computes the magnitude m of the moment of a force vector f about a specified line. it is m = (r × f) · n, where r is the position vector from the line to the point of application of the force and n is a unit vector in the direction of the line. use matlab to compute the magnitude m for the case where f = [12, −5, 4] n, r = [−3, 5, 2] m, and n = [6, 5, −7].

The force it would take to accelerate an 900-kg car at the rate of 6m/s2

Adiver named jacques observes a bubble of air rising from the bottom of a lake (where the absolute pressure is 3.50 atm) to the surface (where the pressure is 1.00 atm). the temperature at the bottom is 4.00 ∘c, and the temperature at the surface is 23.0 ∘c.what is the ratio of the volume of the bubble as it reaches the surface (vs) to its volume at the bottom (vb)? if jaques were to hold his breath the air in his lungs would be kept at a constant temperature. would it be safe for jacques to hold his breath while ascending from the bottom of the lake to the surface?