4. vectores perpendiculares de 25 y 40 unidades cada uno. Hallar gráfica y numericamente el vector resultante. Dos 5. Dos vectores de 12 y 16 unidades respectivamente, forman entre si un ángulo de 40°. Halle el valor del vector resultante y grafique. 6. Un barco recorre 2400 Km desde un punto A hasta un punto B ubicado al oriente; Luego gira hacia el sur y recorre 1600 Km más hasta llegar a un punto C. Trace la gráfica del recorrido efectuado por el barco. Halle el valor numérico del vector desplazamiento entre el punto A y el punto C.

Scientists use laser range-finding to measure the distance to the moon with great accuracy. a brief laser pulse is fired at the moon, then the time interval is measured until the "echo" is seen by a telescope. a laser beam spreads out as it travels because it diffracts through a circular exit as it leaves the laser. in order for the reflected light to be bright enough to detect, the laser spot on the moon must be no more than 1.0 km in diameter. staying within this diameter is accomplished by using a special large-diameter laser. part a if λ = 540nm , what is the minimum diameter of the circular opening from which the laser beam emerges? the earth-moon distance is 384,000 km. express your answer to two significant figures and include the appropriate units.

At 20∘c, the hole in an aluminum ring is 2.800 cm in diameter. you need to slip this ring over a steel shaft that has a room-temperature diameter of 2.804 cm . 1. to what common temperature should the ring and the shaft be heated so that the ring will just fit onto the shaft? coefficients of linear thermal expansion of steel and aluminum are 12×10−6 k−1 and23×10−6 k−1 respectively.

Which type of reaction is shown in this energy diagram? energy products activation energy reactants time o a. endothermic, because energy is released to the surroundings o b. exothermic, because energy is absorbed from the surroundings o c. exothermic, because energy is released to the surroundings o d. endothermic, because energy is absorbed from the surroundings