An iceboat has a mass of 285 kg and is on a frictionless frozen lake when a sudd

Question

An iceboat has a mass of 285 kg and is on a frictionless frozen lake when a sudden wind exerts a constant force of 208 N, toward the east, on the boat. Due to the angle of the sail, the wind causes the boat to slide in a straight line for a distance of 7.5 m in a direction 33 degree north of east. What is the work done by the wind during this motion? 1306.3J The boat initially was moving at a speed of 1.5 m/s. Assuming that no other forces do work, what is the speed of the boat at the second location? 3.03 m/s

Explanation / Answer

Mass m=285 kg

Force F=208 N

Distance S=7.5 m

Angle=33°

This concept belongs to work energy and power

According to work energy Theorem

(A) the work done W=

FS cos(theta)=208×7.5×cos(33°)=1308.3J

(B) ans

Initial velocity u=1.5 m/s

Basing on work energy Therom

W=1/2 m(V^2-u^2)

1308.3=0.5×285(v^2-2.25)

9.2=v^2-2.25

V^2=11.45

V=3.384 m/s

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