Question

A 312 kg boat is sailing 14 degrees north of east at a speed of 1.60 m/s. 23.0s later, it is sailing 37 degrees north of east at a speed of 3.80 m/s. During this time, three forces act on the boat: a 33.8-N force directed 14 degrees north of east (due to an auxiliary engine), a 23.9-N force directed 14 degrees south of west (resistance due to the water), and Fw (due to the wind). Find the magnitude.

Answer 1

The problem is a physics calculation using Newton's second law to determine the force due to wind on a boat, requiring finding the boat's acceleration and subtracting other known forces.

Step-by-step explanation:

The question involves determining the magnitude of the force due to the wind acting on a sailing boat, given its mass, initial and final velocities, the direction of velocities, and the duration of the time interval, as well as two other forces acting on the boat. In Physics, this is a classic application of Newton's second law, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F_net = m * a). To solve the problem, one would need to calculate the boat's acceleration using the given velocities and the time interval, then subtract the contributions of the other forces to find the wind force.