Question

A 350-kg sailboat has an acceleration of 0.62 m/s2 at a angle of 64 degrees north of east find the magnitude and direction of the net force that acts on the sail boat

Answer 1

Answer:

The net force that acts on the sailboat has a magnitude of 217 N and is applied at an angle of 64° north of east.

Explanation:

Mechanical Force

The second Newton's law states the net force exerted by an external agent on an object of mass m is:

$\vec F = m.\vec a$

Where $\vec a$ is the acceleration of the object. Note both the force and the acceleration are vectors. The relationship between them is the mass, a scalar.

This means the net force and the acceleration have the same direction.

The sailboat has a mass m= 350 Kg and moves at a=0.62 m/s^2. The magnitude of the net force acting on the boat is:

$F=0.62 * 350=217\ N$

As stated above its direction is the same as the acceleration, thus:

The net force that acts on the sailboat has a magnitude of 217 N and is applied at an angle of 64° north of east.