A model sailboat is slowly sailing west across a pond at 0.310 m/s. A gust of wind blowing at 28.3° south of west gives the sailboat a constant acceleration of magnitude 0.314 m/s2 during a time interval of 2.18 s. If the net force on the sailboat during the 2.18-s interval has magnitude 0.318 N, what is the sailboat's mass?
Question
A model sailboat is slowly sailing west across a pond at 0.310 m/s. A gust of wind blowing at 28.3° south of west gives the sailboat a constant acceleration of magnitude 0.314 m/s2 during a time interval of 2.18 s. If the net force on the sailboat during the 2.18-s interval has magnitude 0.318 N, what is the sailboat's mass?
Solution
To find the mass of the sailboat, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
The formula is: F = ma
Where: F is the net force, m is the mass, and a is the acceleration.
We can rearrange the formula to solve for mass (m):
m = F/a
Given in the problem, the net force (F) is 0.318 N and the acceleration (a) is 0.314 m/s². Substituting these values into the formula gives:
m = 0.318 N / 0.314 m/s² = 1.01 kg
So, the mass of the sailboat is approximately 1.01 kg.
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