Respuesta:
La magnitud de la aceleración resultante es 2.2 
Explicación:
La masa (m) del velero es 2000 kg
La fuerza que actúa sobre el velero debido a la marea del océano es 
= 3000N
Hacia el este significa que se da a lo largo de la dirección positiva del eje x
Entonces
= 3000N y 
= 0
La fuerza del viento que actúa sobre el velero es
6000N dirigida hacia el noroeste, lo que significa a un ángulo de 45 grados sobre el eje negativo x
Luego
= -(6000N) cos 45 grados = -4242.6 N
= (6000N) cos 45 grados = 4242.6 N
Por lo tanto, la fuerza neta que actúa sobre el velero en la dirección x es
= - 3000 N + 4242.6 N
= - 3000 N +4242.6 N
= 1242.6N
La fuerza neta que actúa sobre el velero en la dirección y es
= 0+ 4242.6N
= 4242.6N
La magnitud de la fuerza resultante =
Usando el teorema de Pitágoras de 1243 N y 4243 N
4420.8 N
F = ma
= 2.2
A left turn lane is designated for vehicles making left turns. Vehicles must completely enter this lane and wait for a clear path before proceeding with the turn. It is not permissible for a vehicle to be partially in and out of the lane, as this obstructs traffic and creates hazardous conditions.
Answer:
a. Angle= 28.82°
b. Approved. Although he might feel cold, he should be able to cross.
Explanation:
Velocity Vector
Velocity is a measure of how quickly something is moving in a specific direction. It is represented as a vector that has both magnitude and direction. If an object can only move in one direction, then speed can serve as the scalar equivalent of that velocity (only focusing on magnitude).
a.
The explorer aims to swim across a river to reach his campsite, as depicted in the image below. The river's velocity is vr and the explorer's swimming speed in still water is ve. If he were to swim straight towards the campsite, he would end up downstream due to the river's current. Therefore, he must swim at an angle that allows him to overcome the current while still moving towards his goal. This angle relative to the shore is what we need to determine. The explorer's speed can be broken down into its horizontal (vx) and vertical (vy) components. In order to counteract the river's flow:
We can calculate the vertical component of the explorer's swimming speed as
Thus
Finding the value of 
Then the angle is given by
b.
The component of the explorer's velocity that goes horizontally is
This represents the actual velocity directed towards the campsite
Considering that
To find t
Calculating the duration for the explorer to cross the river
As this time is under the hypothermia threshold (300 seconds), the conclusion is
Approved. Although he will feel cold, he should manage to cross successfully.
