(a)
The mass of the sailboat.
(a)
Answer to Problem 30P
The mass of the sailboat is
Explanation of Solution
Write the mathematical equation of Newton’s second law.
Here,
Rewrite the above equation for
Conclusion:
Given that the magnitude of the force on the sailboat is
Substitute
Therefore, the mass of the sailboat is
(b)
The new velocity of the boat after the
(b)
Answer to Problem 30P
The new velocity of the boat after the
Explanation of Solution
The diagram of the motion of the sailboat is shown in figure 1.
Write the equation for the additional velocity given to the boat by the wind.
Here,
Substitute
Find the
The initial velocity of boat is only in
Find the
Here,
Write the equation for the magnitude of the new velocity.
Here,
Write the equation for the angle the new velocity makes.
Conclusion:
Substitute
Substitute
Therefore, the new velocity of the boat after the
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