High Speed Boat Crashes

Could somebody please help me learn how to do these? Im not sure how to do either one!?

1.) A boat has a mass of 6800 kg. Its engines generate a drive force of 4200 N, due west, while the wind exerts a force of 950 N, due east, and the water exerts a resistive force of 1200 N due east. What is the magnitude and direction of the boat’s acceleration?

1) This problem involves the use of vectors and newton’s second law. The second law tells you that the sum of all forces acting on a single object equals the massxacceleration of that object. In equation terms:

Σ F = m x a
here, the forces are the force due to the engine (West)
the force due to the wind (east)
the force due to the water( east)

add these up, being sure you use signs to take into account the directions; if we set the West as the positive direction, the sum of our forces is:

Σ F= 4200N – 950N-1200N = 2050N directed to the west

This force = m x a , so a =2050N/6800kg = 0.3 m/s²

2) In the second one, you again use F=ma. In this question, you are given mass (41kg), and must determine acceleration from the information given. Then you can solve for F.

to find acceleration, use the information that the box went from a speed of 205 m/s to zero in 7×10^(-3) s. The acceleration experienced by the box is:

a = Δv/time = (0m/s-205m/s)/7×10^(-3)s =
2.93×10^4 m/s/s

the force on the box is then mxa, or
F=41kg x 2.93×10^4 m/s/s = 1.2×10^6 N

High Speed Boat Crash

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